0.700 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.344 * * * [progress]: [2/2] Setting up program. 1.349 * [progress]: [Phase 2 of 3] Improving. 1.352 * [simplify]: Simplifying using # : (neg (* (/ 1.0 (/ PI 4.0)) (log (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))))) 1.806 * * [simplify]: iteration 0 : 5009 enodes (cost 37 ) 1.807 * [simplify]: Simplified to: (* 1.0 (* (log (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (neg 4.0) PI))) 1.814 * * [progress]: iteration 1 / 4 1.814 * * * [progress]: picking best candidate 1.818 * * * * [pick]: Picked # 1.818 * * * [progress]: localizing error 1.834 * * * [progress]: generating rewritten candidates 1.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 1.841 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.852 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 1.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1) 1.883 * * * [progress]: generating series expansions 1.883 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 1.888 * [approximate]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in (f) around 0 1.889 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.889 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.889 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.889 * [taylor]: Taking taylor expansion of 0.25 in f 1.889 * [taylor]: Taking taylor expansion of (* f PI) in f 1.889 * [taylor]: Taking taylor expansion of f in f 1.889 * [taylor]: Taking taylor expansion of PI in f 1.889 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.889 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.890 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.890 * [taylor]: Taking taylor expansion of 0.25 in f 1.890 * [taylor]: Taking taylor expansion of (* f PI) in f 1.890 * [taylor]: Taking taylor expansion of f in f 1.890 * [taylor]: Taking taylor expansion of PI in f 1.890 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.890 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.890 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.890 * [taylor]: Taking taylor expansion of 0.25 in f 1.890 * [taylor]: Taking taylor expansion of (* f PI) in f 1.890 * [taylor]: Taking taylor expansion of f in f 1.890 * [taylor]: Taking taylor expansion of PI in f 1.890 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.890 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.890 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.890 * [taylor]: Taking taylor expansion of 0.25 in f 1.890 * [taylor]: Taking taylor expansion of (* f PI) in f 1.890 * [taylor]: Taking taylor expansion of f in f 1.890 * [taylor]: Taking taylor expansion of PI in f 1.898 * [approximate]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in (f) around 0 1.899 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.899 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.899 * [taylor]: Taking taylor expansion of 0.25 in f 1.899 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.899 * [taylor]: Taking taylor expansion of PI in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.899 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.899 * [taylor]: Taking taylor expansion of 0.25 in f 1.899 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.899 * [taylor]: Taking taylor expansion of PI in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.899 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.899 * [taylor]: Taking taylor expansion of 0.25 in f 1.899 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.899 * [taylor]: Taking taylor expansion of PI in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.899 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.899 * [taylor]: Taking taylor expansion of 0.25 in f 1.899 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.899 * [taylor]: Taking taylor expansion of PI in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.900 * [approximate]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in (f) around 0 1.900 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.900 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.900 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.900 * [taylor]: Taking taylor expansion of -0.25 in f 1.900 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.900 * [taylor]: Taking taylor expansion of PI in f 1.900 * [taylor]: Taking taylor expansion of f in f 1.900 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.900 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.900 * [taylor]: Taking taylor expansion of 0.25 in f 1.900 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.900 * [taylor]: Taking taylor expansion of PI in f 1.900 * [taylor]: Taking taylor expansion of f in f 1.900 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.901 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.901 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.901 * [taylor]: Taking taylor expansion of -0.25 in f 1.901 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.901 * [taylor]: Taking taylor expansion of PI in f 1.901 * [taylor]: Taking taylor expansion of f in f 1.901 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.901 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.901 * [taylor]: Taking taylor expansion of 0.25 in f 1.901 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.901 * [taylor]: Taking taylor expansion of PI in f 1.901 * [taylor]: Taking taylor expansion of f in f 1.901 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.901 * [approximate]: Taking taylor expansion of (/ (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI)))))) in (f) around 0 1.902 * [taylor]: Taking taylor expansion of (/ (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI)))))) in f 1.902 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 1.902 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.902 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.902 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.902 * [taylor]: Taking taylor expansion of 0.25 in f 1.902 * [taylor]: Taking taylor expansion of (* f PI) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [taylor]: Taking taylor expansion of PI in f 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.902 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.902 * [taylor]: Taking taylor expansion of 0.25 in f 1.902 * [taylor]: Taking taylor expansion of (* f PI) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [taylor]: Taking taylor expansion of PI in f 1.902 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.902 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.902 * [taylor]: Taking taylor expansion of 0.25 in f 1.902 * [taylor]: Taking taylor expansion of (* f PI) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [taylor]: Taking taylor expansion of PI in f 1.902 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.902 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.902 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.902 * [taylor]: Taking taylor expansion of 0.25 in f 1.902 * [taylor]: Taking taylor expansion of (* f PI) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [taylor]: Taking taylor expansion of PI in f 1.903 * [taylor]: Taking taylor expansion of (/ (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI)))))) in f 1.903 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 1.903 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.903 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.903 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.903 * [taylor]: Taking taylor expansion of 0.25 in f 1.903 * [taylor]: Taking taylor expansion of (* f PI) in f 1.903 * [taylor]: Taking taylor expansion of f in f 1.903 * [taylor]: Taking taylor expansion of PI in f 1.903 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.903 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.903 * [taylor]: Taking taylor expansion of 0.25 in f 1.903 * [taylor]: Taking taylor expansion of (* f PI) in f 1.903 * [taylor]: Taking taylor expansion of f in f 1.903 * [taylor]: Taking taylor expansion of PI in f 1.903 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.903 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.903 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.903 * [taylor]: Taking taylor expansion of 0.25 in f 1.903 * [taylor]: Taking taylor expansion of (* f PI) in f 1.903 * [taylor]: Taking taylor expansion of f in f 1.903 * [taylor]: Taking taylor expansion of PI in f 1.903 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.903 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.903 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.903 * [taylor]: Taking taylor expansion of 0.25 in f 1.903 * [taylor]: Taking taylor expansion of (* f PI) in f 1.903 * [taylor]: Taking taylor expansion of f in f 1.903 * [taylor]: Taking taylor expansion of PI in f 1.912 * [approximate]: Taking taylor expansion of (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f)))))) in (f) around 0 1.912 * [taylor]: Taking taylor expansion of (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f)))))) in f 1.913 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.913 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.913 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.913 * [taylor]: Taking taylor expansion of 0.25 in f 1.913 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.913 * [taylor]: Taking taylor expansion of PI in f 1.913 * [taylor]: Taking taylor expansion of f in f 1.913 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.913 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.913 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.913 * [taylor]: Taking taylor expansion of 0.25 in f 1.913 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.913 * [taylor]: Taking taylor expansion of PI in f 1.913 * [taylor]: Taking taylor expansion of f in f 1.913 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.913 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.913 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.913 * [taylor]: Taking taylor expansion of 0.25 in f 1.913 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.913 * [taylor]: Taking taylor expansion of PI in f 1.913 * [taylor]: Taking taylor expansion of f in f 1.913 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.913 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.913 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.913 * [taylor]: Taking taylor expansion of 0.25 in f 1.913 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.913 * [taylor]: Taking taylor expansion of PI in f 1.913 * [taylor]: Taking taylor expansion of f in f 1.914 * [taylor]: Taking taylor expansion of (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f)))))) in f 1.914 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.914 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.914 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.914 * [taylor]: Taking taylor expansion of 0.25 in f 1.914 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.914 * [taylor]: Taking taylor expansion of PI in f 1.914 * [taylor]: Taking taylor expansion of f in f 1.914 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.914 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.914 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.914 * [taylor]: Taking taylor expansion of 0.25 in f 1.914 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.914 * [taylor]: Taking taylor expansion of PI in f 1.914 * [taylor]: Taking taylor expansion of f in f 1.914 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 1.914 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.914 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.914 * [taylor]: Taking taylor expansion of 0.25 in f 1.914 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.914 * [taylor]: Taking taylor expansion of PI in f 1.914 * [taylor]: Taking taylor expansion of f in f 1.914 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 1.914 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 1.914 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.914 * [taylor]: Taking taylor expansion of 0.25 in f 1.914 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.914 * [taylor]: Taking taylor expansion of PI in f 1.914 * [taylor]: Taking taylor expansion of f in f 1.919 * [approximate]: Taking taylor expansion of (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f))))) in (f) around 0 1.919 * [taylor]: Taking taylor expansion of (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f))))) in f 1.919 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.919 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.919 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.919 * [taylor]: Taking taylor expansion of -0.25 in f 1.919 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.919 * [taylor]: Taking taylor expansion of PI in f 1.919 * [taylor]: Taking taylor expansion of f in f 1.919 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.919 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.919 * [taylor]: Taking taylor expansion of 0.25 in f 1.919 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.919 * [taylor]: Taking taylor expansion of PI in f 1.919 * [taylor]: Taking taylor expansion of f in f 1.919 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.919 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.919 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.919 * [taylor]: Taking taylor expansion of -0.25 in f 1.919 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.919 * [taylor]: Taking taylor expansion of PI in f 1.920 * [taylor]: Taking taylor expansion of f in f 1.920 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.920 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.920 * [taylor]: Taking taylor expansion of 0.25 in f 1.920 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.920 * [taylor]: Taking taylor expansion of PI in f 1.920 * [taylor]: Taking taylor expansion of f in f 1.920 * [taylor]: Taking taylor expansion of (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f))))) in f 1.920 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.920 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.920 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.920 * [taylor]: Taking taylor expansion of -0.25 in f 1.920 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.920 * [taylor]: Taking taylor expansion of PI in f 1.920 * [taylor]: Taking taylor expansion of f in f 1.920 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.920 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.920 * [taylor]: Taking taylor expansion of 0.25 in f 1.920 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.920 * [taylor]: Taking taylor expansion of PI in f 1.920 * [taylor]: Taking taylor expansion of f in f 1.920 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 1.920 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 1.920 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.920 * [taylor]: Taking taylor expansion of -0.25 in f 1.920 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.920 * [taylor]: Taking taylor expansion of PI in f 1.920 * [taylor]: Taking taylor expansion of f in f 1.921 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 1.921 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.921 * [taylor]: Taking taylor expansion of 0.25 in f 1.921 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.921 * [taylor]: Taking taylor expansion of PI in f 1.921 * [taylor]: Taking taylor expansion of f in f 1.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2 1 1) 1.924 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 1.924 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.924 * [taylor]: Taking taylor expansion of 0.25 in f 1.924 * [taylor]: Taking taylor expansion of (* f PI) in f 1.924 * [taylor]: Taking taylor expansion of f in f 1.925 * [taylor]: Taking taylor expansion of PI in f 1.925 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.925 * [taylor]: Taking taylor expansion of 0.25 in f 1.925 * [taylor]: Taking taylor expansion of (* f PI) in f 1.925 * [taylor]: Taking taylor expansion of f in f 1.925 * [taylor]: Taking taylor expansion of PI in f 1.925 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 1.925 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.925 * [taylor]: Taking taylor expansion of 0.25 in f 1.925 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.925 * [taylor]: Taking taylor expansion of PI in f 1.926 * [taylor]: Taking taylor expansion of f in f 1.926 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.926 * [taylor]: Taking taylor expansion of 0.25 in f 1.926 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.926 * [taylor]: Taking taylor expansion of PI in f 1.926 * [taylor]: Taking taylor expansion of f in f 1.926 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 1.926 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.926 * [taylor]: Taking taylor expansion of -0.25 in f 1.926 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.926 * [taylor]: Taking taylor expansion of PI in f 1.927 * [taylor]: Taking taylor expansion of f in f 1.927 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.927 * [taylor]: Taking taylor expansion of -0.25 in f 1.927 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.927 * [taylor]: Taking taylor expansion of PI in f 1.927 * [taylor]: Taking taylor expansion of f in f 1.927 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1) 1.927 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 1.927 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.927 * [taylor]: Taking taylor expansion of 0.25 in f 1.928 * [taylor]: Taking taylor expansion of (* f PI) in f 1.928 * [taylor]: Taking taylor expansion of f in f 1.928 * [taylor]: Taking taylor expansion of PI in f 1.928 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.928 * [taylor]: Taking taylor expansion of 0.25 in f 1.928 * [taylor]: Taking taylor expansion of (* f PI) in f 1.928 * [taylor]: Taking taylor expansion of f in f 1.928 * [taylor]: Taking taylor expansion of PI in f 1.928 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 1.928 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.929 * [taylor]: Taking taylor expansion of 0.25 in f 1.929 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.929 * [taylor]: Taking taylor expansion of PI in f 1.929 * [taylor]: Taking taylor expansion of f in f 1.929 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 1.929 * [taylor]: Taking taylor expansion of 0.25 in f 1.929 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.929 * [taylor]: Taking taylor expansion of PI in f 1.929 * [taylor]: Taking taylor expansion of f in f 1.929 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 1.930 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.930 * [taylor]: Taking taylor expansion of -0.25 in f 1.930 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.930 * [taylor]: Taking taylor expansion of PI in f 1.930 * [taylor]: Taking taylor expansion of f in f 1.930 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 1.930 * [taylor]: Taking taylor expansion of -0.25 in f 1.930 * [taylor]: Taking taylor expansion of (/ PI f) in f 1.930 * [taylor]: Taking taylor expansion of PI in f 1.930 * [taylor]: Taking taylor expansion of f in f 1.930 * * * [progress]: simplifying candidates 1.933 * [simplify]: Simplifying using # : (sinh (* (/ PI 4.0) f)) (/ (exp (exp (* (/ PI 4.0) f))) (exp (exp (neg (* (/ PI 4.0) f))))) (log (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (exp (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (* (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (* (* (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (- (pow (exp (* (/ PI 4.0) f)) 3) (pow (exp (neg (* (/ PI 4.0) f))) 3)) (+ (* (exp (* (/ PI 4.0) f)) (exp (* (/ PI 4.0) f))) (+ (* (exp (neg (* (/ PI 4.0) f))) (exp (neg (* (/ PI 4.0) f)))) (* (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (neg (exp (neg (* (/ PI 4.0) f)))) (- (* (exp (* (/ PI 4.0) f)) (exp (* (/ PI 4.0) f))) (* (exp (neg (* (/ PI 4.0) f))) (exp (neg (* (/ PI 4.0) f))))) (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (+ (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f))))) (- (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f))))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (log (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (log (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (log (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (exp (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ 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4.0) f)))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (sqrt (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (sqrt (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (neg (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (neg (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ 2 2) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ 2 (* (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))))) (/ (cosh (* (/ PI 4.0) f)) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ 2 (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ 2 1) (/ (cosh (* (/ PI 4.0) f)) (- (exp (* (/ PI 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f))))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (+ (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (- (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) 1) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ 1 2) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ 1 (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ 1 1) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ 1 (+ (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ 1 1) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ 1 2) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))) (cbrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ 1 (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 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4.0)) (sqrt f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (/ (sqrt PI) (sqrt 4.0)) (sqrt f)) (* (/ (sqrt PI) (sqrt 4.0)) (sqrt f)) (* (/ PI 4.0) (* (cbrt f) (cbrt f))) (* (/ PI 4.0) (sqrt f)) (* (/ PI 4.0) 1) (* (cbrt (/ PI 4.0)) f) (* (sqrt (/ PI 4.0)) f) (* (/ (cbrt PI) (cbrt 4.0)) f) (* (/ (cbrt PI) (sqrt 4.0)) f) (* (/ (cbrt PI) 4.0) f) (* (/ (sqrt PI) (cbrt 4.0)) f) (* (/ (sqrt PI) (sqrt 4.0)) f) (* (/ (sqrt PI) 4.0) f) (* (/ PI (cbrt 4.0)) f) (* (/ PI (sqrt 4.0)) f) (* (/ PI 4.0) f) (* (/ PI 4.0) f) (* (/ 1 4.0) f) (* PI f) (* (/ PI 4.0) f) (+ (- (log PI) (log 4.0)) (log f)) (+ (log (/ PI 4.0)) (log f)) (log (* (/ PI 4.0) f)) (exp (* (/ PI 4.0) f)) (* (/ (* (* PI PI) PI) (* (* 4.0 4.0) 4.0)) (* (* f f) f)) (* (* (* (/ PI 4.0) (/ PI 4.0)) (/ PI 4.0)) (* (* f f) f)) (* (cbrt (* (/ PI 4.0) f)) (cbrt (* (/ PI 4.0) f))) (cbrt (* (/ PI 4.0) f)) (* (* (* (/ PI 4.0) f) (* (/ PI 4.0) f)) (* (/ PI 4.0) f)) (sqrt (* (/ PI 4.0) f)) (sqrt (* (/ PI 4.0) f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (/ (sqrt PI) (sqrt 4.0)) (sqrt f)) (* (/ (sqrt PI) (sqrt 4.0)) (sqrt f)) (* (/ PI 4.0) (* (cbrt f) (cbrt f))) (* (/ PI 4.0) (sqrt f)) (* (/ PI 4.0) 1) (* (cbrt (/ PI 4.0)) f) (* (sqrt (/ PI 4.0)) f) (* (/ (cbrt PI) (cbrt 4.0)) f) (* (/ (cbrt PI) (sqrt 4.0)) f) (* (/ (cbrt PI) 4.0) f) (* (/ (sqrt PI) (cbrt 4.0)) f) (* (/ (sqrt PI) (sqrt 4.0)) f) (* (/ (sqrt PI) 4.0) f) (* (/ PI (cbrt 4.0)) f) (* (/ PI (sqrt 4.0)) f) (* (/ PI 4.0) f) (* (/ PI 4.0) f) (* (/ 1 4.0) f) (* PI f) (+ (* 0.005208333333333333 (* (pow f 3) (pow PI 3))) (+ (* 1.6276041666666666e-05 (* (pow f 5) (pow PI 5))) (* 0.5 (* f PI)))) (- (exp (* 0.25 (* PI f))) (exp (neg (* 0.25 (* PI f))))) (- (exp (* 0.25 (* PI f))) (exp (* -0.25 (* PI f)))) (- (+ (* 4.0 (/ 1 (* PI f))) (* 0.08333333333333334 (* f PI))) (* 0.0003472222222222224 (* (pow f 3) (pow PI 3)))) (/ (+ (exp (neg (* 0.25 (* PI f)))) (exp (* 0.25 (* PI f)))) (- (exp (* 0.25 (* PI f))) (exp (neg (* 0.25 (* PI f)))))) (/ (+ (exp (* -0.25 (* PI f))) (exp (* 0.25 (* PI f)))) (- (exp (* 0.25 (* PI f))) (exp (* -0.25 (* PI f))))) (* 0.25 (* f PI)) (* 0.25 (* f PI)) (* 0.25 (* f PI)) (* 0.25 (* f PI)) (* 0.25 (* f PI)) (* 0.25 (* f PI)) 1.991 * * [simplify]: iteration 0 : 5270 enodes (cost 3034 ) 2.000 * [simplify]: Simplified to: (sinh (* PI (/ f 4.0))) (exp (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (log (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (exp (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (pow (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) 3) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (pow (exp (/ PI 4.0)) f) 3) (pow (pow (exp (/ PI 4.0)) f) -3)) (+ (pow (pow (exp (/ PI 4.0)) f) 2) (+ (pow (pow (exp (/ PI 4.0)) f) -2) 1)) (/ -1 (pow (exp (/ PI 4.0)) f)) (- (pow (pow (exp (/ PI 4.0)) f) 2) (pow (pow (exp (/ PI 4.0)) f) -2)) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f)))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (log (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (log (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (exp (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (pow (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 3) (* (cbrt (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (cbrt (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (cbrt (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (pow (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 3) (sqrt (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (sqrt (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (- (/ -1 (pow (exp (/ PI 4.0)) f)) (pow (exp (/ PI 4.0)) f)) (- (pow (exp (/ PI 4.0)) (neg f)) (pow (exp (/ PI 4.0)) f)) 1 (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))) (/ 2 (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (cosh (* PI (/ f 4.0))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ 2 (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (cosh (* PI (/ f 4.0))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) 2 (/ (cosh (* PI (/ f 4.0))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ 2 (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (/ (cosh (* PI (/ f 4.0))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) 2 (/ (cosh (* PI (/ f 4.0))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 2)) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sinh (* PI (/ f 4.0)))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f)))))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (* (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 2) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sinh (* PI (/ f 4.0)))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 1/2 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sinh (* PI (/ f 4.0)))) (/ 1 (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ 1 (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) 1 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ 1 (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) 1 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) 1/2 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sinh (* PI (/ f 4.0)))) (/ 1 (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ 1 (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) 1 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ 1 (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) 1 (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ 1 (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cosh (* PI (/ f 4.0))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (* (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (cbrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sqrt (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (sqrt (pow (exp (/ PI 4.0)) f)) (sqrt (pow (exp (/ PI 4.0)) (neg f))))) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (cosh (* PI (/ f 4.0)))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (cbrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (sqrt (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (/ (+ (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (- (pow (pow (exp (/ PI 4.0)) f) 3) (pow (pow (exp (/ PI 4.0)) f) -3))) (/ 1 (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))) (+ (pow (pow (exp (/ PI 4.0)) f) 2) (+ (pow (pow (exp (/ PI 4.0)) f) -2) -1))) (+ (+ (pow (pow (exp (/ PI 4.0)) f) -2) -1) (+ (pow (pow (exp (/ PI 4.0)) f) 2) -1)) (* PI (/ f 4.0)) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (pow (exp (/ PI 4.0)) f) (pow (* PI (/ f 4.0)) 3) (pow (* PI (/ f 4.0)) 3) (* (cbrt (* PI (/ f 4.0))) (cbrt (* PI (/ f 4.0)))) (cbrt (* PI (/ f 4.0))) (pow (* PI (/ f 4.0)) 3) (sqrt (* PI (/ f 4.0))) (sqrt (* PI (/ f 4.0))) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt f) (/ (sqrt PI) (sqrt 4.0))) (* (sqrt f) (/ (sqrt PI) (sqrt 4.0))) (* PI (/ (* (cbrt f) (cbrt f)) 4.0)) (* PI (/ (sqrt f) 4.0)) (/ PI 4.0) (* f (cbrt (/ PI 4.0))) (* f (sqrt (/ PI 4.0))) (* f (/ (cbrt PI) (cbrt 4.0))) (* f (/ (cbrt PI) (sqrt 4.0))) (* f (/ (cbrt PI) 4.0)) (* f (/ (sqrt PI) (cbrt 4.0))) (* f (/ (sqrt PI) (sqrt 4.0))) (* f (/ (sqrt PI) 4.0)) (* f (/ PI (cbrt 4.0))) (* f (/ PI (sqrt 4.0))) (* PI (/ f 4.0)) (* PI (/ f 4.0)) (/ f 4.0) (* PI f) (* PI (/ f 4.0)) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (pow (exp (/ PI 4.0)) f) (pow (* PI (/ f 4.0)) 3) (pow (* PI (/ f 4.0)) 3) (* (cbrt (* PI (/ f 4.0))) (cbrt (* PI (/ f 4.0)))) (cbrt (* PI (/ f 4.0))) (pow (* PI (/ f 4.0)) 3) (sqrt (* PI (/ f 4.0))) (sqrt (* PI (/ f 4.0))) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt f) (/ (sqrt PI) (sqrt 4.0))) (* (sqrt f) (/ (sqrt PI) (sqrt 4.0))) (* PI (/ (* (cbrt f) (cbrt f)) 4.0)) (* PI (/ (sqrt f) 4.0)) (/ PI 4.0) (* f (cbrt (/ PI 4.0))) (* f (sqrt (/ PI 4.0))) (* f (/ (cbrt PI) (cbrt 4.0))) (* f (/ (cbrt PI) (sqrt 4.0))) (* f (/ (cbrt PI) 4.0)) (* f (/ (sqrt PI) (cbrt 4.0))) (* f (/ (sqrt PI) (sqrt 4.0))) (* f (/ (sqrt PI) 4.0)) (* f (/ PI (cbrt 4.0))) (* f (/ PI (sqrt 4.0))) (* PI (/ f 4.0)) (* PI (/ f 4.0)) (/ f 4.0) (* PI f) (+ (* 0.005208333333333333 (pow (* PI f) 3)) (+ (* 1.6276041666666666e-05 (* (pow f 5) (pow PI 5))) (* PI (* f 0.5)))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))) (- (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))) (+ (/ 4.0 (* PI f)) (- (* PI (* f 0.08333333333333334)) (* (pow (* PI f) 3) 0.0003472222222222224))) (/ (+ (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f))))) (/ (+ (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f)))) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) 2.001 * * * [progress]: adding candidates to table 2.521 * * [progress]: iteration 2 / 4 2.521 * * * [progress]: picking best candidate 2.523 * * * * [pick]: Picked # 2.524 * * * [progress]: localizing error 2.540 * * * [progress]: generating rewritten candidates 2.540 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.560 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) 2.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 2.580 * * * [progress]: generating series expansions 2.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.581 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in (f) around 0 2.581 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.581 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.582 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.582 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.582 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.582 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.582 * [taylor]: Taking taylor expansion of 0.25 in f 2.582 * [taylor]: Taking taylor expansion of (* f PI) in f 2.582 * [taylor]: Taking taylor expansion of f in f 2.582 * [taylor]: Taking taylor expansion of PI in f 2.582 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.582 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.582 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.582 * [taylor]: Taking taylor expansion of 0.25 in f 2.582 * [taylor]: Taking taylor expansion of (* f PI) in f 2.582 * [taylor]: Taking taylor expansion of f in f 2.582 * [taylor]: Taking taylor expansion of PI in f 2.582 * [taylor]: Taking taylor expansion of 2 in f 2.583 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.583 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.583 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.583 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.583 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.583 * [taylor]: Taking taylor expansion of 0.25 in f 2.583 * [taylor]: Taking taylor expansion of (* f PI) in f 2.583 * [taylor]: Taking taylor expansion of f in f 2.583 * [taylor]: Taking taylor expansion of PI in f 2.583 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.583 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.583 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.583 * [taylor]: Taking taylor expansion of 0.25 in f 2.583 * [taylor]: Taking taylor expansion of (* f PI) in f 2.583 * [taylor]: Taking taylor expansion of f in f 2.583 * [taylor]: Taking taylor expansion of PI in f 2.583 * [taylor]: Taking taylor expansion of 2 in f 2.583 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.583 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.583 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.583 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.583 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.583 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.583 * [taylor]: Taking taylor expansion of 0.25 in f 2.583 * [taylor]: Taking taylor expansion of (* f PI) in f 2.584 * [taylor]: Taking taylor expansion of f in f 2.584 * [taylor]: Taking taylor expansion of PI in f 2.584 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.584 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.584 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.584 * [taylor]: Taking taylor expansion of 0.25 in f 2.584 * [taylor]: Taking taylor expansion of (* f PI) in f 2.584 * [taylor]: Taking taylor expansion of f in f 2.584 * [taylor]: Taking taylor expansion of PI in f 2.584 * [taylor]: Taking taylor expansion of 2 in f 2.584 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.584 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.584 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.584 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.584 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.584 * [taylor]: Taking taylor expansion of 0.25 in f 2.584 * [taylor]: Taking taylor expansion of (* f PI) in f 2.584 * [taylor]: Taking taylor expansion of f in f 2.584 * [taylor]: Taking taylor expansion of PI in f 2.584 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.584 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.584 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.584 * [taylor]: Taking taylor expansion of 0.25 in f 2.584 * [taylor]: Taking taylor expansion of (* f PI) in f 2.584 * [taylor]: Taking taylor expansion of f in f 2.584 * [taylor]: Taking taylor expansion of PI in f 2.584 * [taylor]: Taking taylor expansion of 2 in f 2.594 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in (f) around 0 2.594 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.594 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.594 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.594 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.594 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.594 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.594 * [taylor]: Taking taylor expansion of 0.25 in f 2.594 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.594 * [taylor]: Taking taylor expansion of PI in f 2.594 * [taylor]: Taking taylor expansion of f in f 2.594 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.594 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.594 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.594 * [taylor]: Taking taylor expansion of 0.25 in f 2.594 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.594 * [taylor]: Taking taylor expansion of PI in f 2.594 * [taylor]: Taking taylor expansion of f in f 2.595 * [taylor]: Taking taylor expansion of 2 in f 2.595 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.595 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.595 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.595 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.595 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.595 * [taylor]: Taking taylor expansion of 0.25 in f 2.595 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.595 * [taylor]: Taking taylor expansion of PI in f 2.595 * [taylor]: Taking taylor expansion of f in f 2.595 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.595 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.595 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.595 * [taylor]: Taking taylor expansion of 0.25 in f 2.595 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.595 * [taylor]: Taking taylor expansion of PI in f 2.595 * [taylor]: Taking taylor expansion of f in f 2.595 * [taylor]: Taking taylor expansion of 2 in f 2.596 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.596 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.596 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.596 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.596 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.596 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.596 * [taylor]: Taking taylor expansion of 0.25 in f 2.596 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.596 * [taylor]: Taking taylor expansion of PI in f 2.596 * [taylor]: Taking taylor expansion of f in f 2.596 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.596 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.596 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.596 * [taylor]: Taking taylor expansion of 0.25 in f 2.596 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.596 * [taylor]: Taking taylor expansion of PI in f 2.596 * [taylor]: Taking taylor expansion of f in f 2.596 * [taylor]: Taking taylor expansion of 2 in f 2.596 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.596 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.596 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.596 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.596 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.596 * [taylor]: Taking taylor expansion of 0.25 in f 2.596 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.596 * [taylor]: Taking taylor expansion of PI in f 2.596 * [taylor]: Taking taylor expansion of f in f 2.597 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.597 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.597 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.597 * [taylor]: Taking taylor expansion of 0.25 in f 2.597 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.597 * [taylor]: Taking taylor expansion of PI in f 2.597 * [taylor]: Taking taylor expansion of f in f 2.597 * [taylor]: Taking taylor expansion of 2 in f 2.603 * [approximate]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in (f) around 0 2.603 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.603 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.603 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.603 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.603 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.603 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.603 * [taylor]: Taking taylor expansion of -0.25 in f 2.603 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.603 * [taylor]: Taking taylor expansion of PI in f 2.603 * [taylor]: Taking taylor expansion of f in f 2.603 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.604 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.604 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.604 * [taylor]: Taking taylor expansion of -0.25 in f 2.604 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.604 * [taylor]: Taking taylor expansion of PI in f 2.604 * [taylor]: Taking taylor expansion of f in f 2.604 * [taylor]: Taking taylor expansion of 2 in f 2.604 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.604 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.604 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.604 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.604 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.604 * [taylor]: Taking taylor expansion of -0.25 in f 2.604 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.604 * [taylor]: Taking taylor expansion of PI in f 2.604 * [taylor]: Taking taylor expansion of f in f 2.604 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.604 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.604 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.604 * [taylor]: Taking taylor expansion of -0.25 in f 2.604 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.604 * [taylor]: Taking taylor expansion of PI in f 2.604 * [taylor]: Taking taylor expansion of f in f 2.604 * [taylor]: Taking taylor expansion of 2 in f 2.605 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.605 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.605 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.605 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.605 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.605 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.605 * [taylor]: Taking taylor expansion of -0.25 in f 2.605 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.605 * [taylor]: Taking taylor expansion of PI in f 2.605 * [taylor]: Taking taylor expansion of f in f 2.605 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.605 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.605 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.605 * [taylor]: Taking taylor expansion of -0.25 in f 2.605 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.605 * [taylor]: Taking taylor expansion of PI in f 2.605 * [taylor]: Taking taylor expansion of f in f 2.605 * [taylor]: Taking taylor expansion of 2 in f 2.605 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.605 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.605 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.605 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.605 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.605 * [taylor]: Taking taylor expansion of -0.25 in f 2.606 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.606 * [taylor]: Taking taylor expansion of PI in f 2.606 * [taylor]: Taking taylor expansion of f in f 2.606 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.606 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.606 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.606 * [taylor]: Taking taylor expansion of -0.25 in f 2.606 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.606 * [taylor]: Taking taylor expansion of PI in f 2.606 * [taylor]: Taking taylor expansion of f in f 2.606 * [taylor]: Taking taylor expansion of 2 in f 2.615 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.615 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in (f) around 0 2.615 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in f 2.615 * [taylor]: Taking taylor expansion of 4.0 in f 2.615 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI) in f 2.615 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.615 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.615 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.615 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.615 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.615 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.616 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.616 * [taylor]: Taking taylor expansion of 0.25 in f 2.616 * [taylor]: Taking taylor expansion of (* f PI) in f 2.616 * [taylor]: Taking taylor expansion of f in f 2.616 * [taylor]: Taking taylor expansion of PI in f 2.616 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.616 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.616 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.616 * [taylor]: Taking taylor expansion of 0.25 in f 2.616 * [taylor]: Taking taylor expansion of (* f PI) in f 2.616 * [taylor]: Taking taylor expansion of f in f 2.616 * [taylor]: Taking taylor expansion of PI in f 2.616 * [taylor]: Taking taylor expansion of 2 in f 2.616 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.616 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.616 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.616 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.616 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.616 * [taylor]: Taking taylor expansion of 0.25 in f 2.616 * [taylor]: Taking taylor expansion of (* f PI) in f 2.616 * [taylor]: Taking taylor expansion of f in f 2.616 * [taylor]: Taking taylor expansion of PI in f 2.616 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.616 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.616 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.616 * [taylor]: Taking taylor expansion of 0.25 in f 2.616 * [taylor]: Taking taylor expansion of (* f PI) in f 2.616 * [taylor]: Taking taylor expansion of f in f 2.616 * [taylor]: Taking taylor expansion of PI in f 2.616 * [taylor]: Taking taylor expansion of 2 in f 2.617 * [taylor]: Taking taylor expansion of PI in f 2.617 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in f 2.617 * [taylor]: Taking taylor expansion of 4.0 in f 2.617 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI) in f 2.617 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.617 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.617 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.617 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.617 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.617 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.617 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.617 * [taylor]: Taking taylor expansion of 0.25 in f 2.617 * [taylor]: Taking taylor expansion of (* f PI) in f 2.617 * [taylor]: Taking taylor expansion of f in f 2.617 * [taylor]: Taking taylor expansion of PI in f 2.617 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.617 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.617 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.618 * [taylor]: Taking taylor expansion of 0.25 in f 2.618 * [taylor]: Taking taylor expansion of (* f PI) in f 2.618 * [taylor]: Taking taylor expansion of f in f 2.618 * [taylor]: Taking taylor expansion of PI in f 2.618 * [taylor]: Taking taylor expansion of 2 in f 2.618 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.618 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.618 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.618 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.618 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.618 * [taylor]: Taking taylor expansion of 0.25 in f 2.618 * [taylor]: Taking taylor expansion of (* f PI) in f 2.618 * [taylor]: Taking taylor expansion of f in f 2.618 * [taylor]: Taking taylor expansion of PI in f 2.618 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.618 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.618 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.618 * [taylor]: Taking taylor expansion of 0.25 in f 2.618 * [taylor]: Taking taylor expansion of (* f PI) in f 2.618 * [taylor]: Taking taylor expansion of f in f 2.618 * [taylor]: Taking taylor expansion of PI in f 2.618 * [taylor]: Taking taylor expansion of 2 in f 2.618 * [taylor]: Taking taylor expansion of PI in f 2.632 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in (f) around 0 2.632 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in f 2.632 * [taylor]: Taking taylor expansion of 4.0 in f 2.632 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI) in f 2.632 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.632 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.632 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.632 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.632 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.632 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.632 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.632 * [taylor]: Taking taylor expansion of 0.25 in f 2.632 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.632 * [taylor]: Taking taylor expansion of PI in f 2.632 * [taylor]: Taking taylor expansion of f in f 2.632 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.632 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.632 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.632 * [taylor]: Taking taylor expansion of 0.25 in f 2.632 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.632 * [taylor]: Taking taylor expansion of PI in f 2.632 * [taylor]: Taking taylor expansion of f in f 2.632 * [taylor]: Taking taylor expansion of 2 in f 2.633 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.633 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.633 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.633 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.633 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.633 * [taylor]: Taking taylor expansion of 0.25 in f 2.633 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.633 * [taylor]: Taking taylor expansion of PI in f 2.633 * [taylor]: Taking taylor expansion of f in f 2.633 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.633 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.633 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.633 * [taylor]: Taking taylor expansion of 0.25 in f 2.633 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.633 * [taylor]: Taking taylor expansion of PI in f 2.633 * [taylor]: Taking taylor expansion of f in f 2.633 * [taylor]: Taking taylor expansion of 2 in f 2.634 * [taylor]: Taking taylor expansion of PI in f 2.634 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in f 2.634 * [taylor]: Taking taylor expansion of 4.0 in f 2.634 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI) in f 2.634 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.634 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.634 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.634 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.634 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.634 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.634 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.634 * [taylor]: Taking taylor expansion of 0.25 in f 2.634 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.634 * [taylor]: Taking taylor expansion of PI in f 2.634 * [taylor]: Taking taylor expansion of f in f 2.634 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.634 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.634 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.634 * [taylor]: Taking taylor expansion of 0.25 in f 2.634 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.634 * [taylor]: Taking taylor expansion of PI in f 2.634 * [taylor]: Taking taylor expansion of f in f 2.635 * [taylor]: Taking taylor expansion of 2 in f 2.635 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.635 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.635 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.635 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.635 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.635 * [taylor]: Taking taylor expansion of 0.25 in f 2.635 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.635 * [taylor]: Taking taylor expansion of PI in f 2.635 * [taylor]: Taking taylor expansion of f in f 2.635 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.635 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.635 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.635 * [taylor]: Taking taylor expansion of 0.25 in f 2.635 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.635 * [taylor]: Taking taylor expansion of PI in f 2.635 * [taylor]: Taking taylor expansion of f in f 2.635 * [taylor]: Taking taylor expansion of 2 in f 2.636 * [taylor]: Taking taylor expansion of PI in f 2.653 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in (f) around 0 2.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in f 2.654 * [taylor]: Taking taylor expansion of 4.0 in f 2.654 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI) in f 2.654 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 2.654 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.654 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.654 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.654 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.654 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.654 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.654 * [taylor]: Taking taylor expansion of -0.25 in f 2.654 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.654 * [taylor]: Taking taylor expansion of PI in f 2.654 * [taylor]: Taking taylor expansion of f in f 2.654 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.654 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.654 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.654 * [taylor]: Taking taylor expansion of -0.25 in f 2.654 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.654 * [taylor]: Taking taylor expansion of PI in f 2.654 * [taylor]: Taking taylor expansion of f in f 2.654 * [taylor]: Taking taylor expansion of 2 in f 2.654 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.654 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.654 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.654 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.654 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.654 * [taylor]: Taking taylor expansion of -0.25 in f 2.654 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.654 * [taylor]: Taking taylor expansion of PI in f 2.654 * [taylor]: Taking taylor expansion of f in f 2.655 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.655 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.655 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.655 * [taylor]: Taking taylor expansion of -0.25 in f 2.655 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.655 * [taylor]: Taking taylor expansion of PI in f 2.655 * [taylor]: Taking taylor expansion of f in f 2.655 * [taylor]: Taking taylor expansion of 2 in f 2.655 * [taylor]: Taking taylor expansion of PI in f 2.655 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in f 2.655 * [taylor]: Taking taylor expansion of 4.0 in f 2.655 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI) in f 2.655 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 2.656 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.656 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.656 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.656 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.656 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.656 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.656 * [taylor]: Taking taylor expansion of -0.25 in f 2.656 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.656 * [taylor]: Taking taylor expansion of PI in f 2.656 * [taylor]: Taking taylor expansion of f in f 2.656 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.656 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.656 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.656 * [taylor]: Taking taylor expansion of -0.25 in f 2.656 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.656 * [taylor]: Taking taylor expansion of PI in f 2.656 * [taylor]: Taking taylor expansion of f in f 2.656 * [taylor]: Taking taylor expansion of 2 in f 2.656 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.656 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.656 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.656 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.656 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.656 * [taylor]: Taking taylor expansion of -0.25 in f 2.656 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.657 * [taylor]: Taking taylor expansion of PI in f 2.657 * [taylor]: Taking taylor expansion of f in f 2.657 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.657 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.657 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.657 * [taylor]: Taking taylor expansion of -0.25 in f 2.657 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.657 * [taylor]: Taking taylor expansion of PI in f 2.657 * [taylor]: Taking taylor expansion of f in f 2.657 * [taylor]: Taking taylor expansion of 2 in f 2.657 * [taylor]: Taking taylor expansion of PI in f 2.672 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1) 2.673 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 2.673 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.673 * [taylor]: Taking taylor expansion of 0.25 in f 2.673 * [taylor]: Taking taylor expansion of (* f PI) in f 2.673 * [taylor]: Taking taylor expansion of f in f 2.673 * [taylor]: Taking taylor expansion of PI in f 2.673 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.673 * [taylor]: Taking taylor expansion of 0.25 in f 2.673 * [taylor]: Taking taylor expansion of (* f PI) in f 2.673 * [taylor]: Taking taylor expansion of f in f 2.673 * [taylor]: Taking taylor expansion of PI in f 2.674 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 2.674 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.674 * [taylor]: Taking taylor expansion of 0.25 in f 2.674 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.674 * [taylor]: Taking taylor expansion of PI in f 2.674 * [taylor]: Taking taylor expansion of f in f 2.674 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.674 * [taylor]: Taking taylor expansion of 0.25 in f 2.674 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.674 * [taylor]: Taking taylor expansion of PI in f 2.674 * [taylor]: Taking taylor expansion of f in f 2.675 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 2.675 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.675 * [taylor]: Taking taylor expansion of -0.25 in f 2.675 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.675 * [taylor]: Taking taylor expansion of PI in f 2.675 * [taylor]: Taking taylor expansion of f in f 2.675 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.675 * [taylor]: Taking taylor expansion of -0.25 in f 2.675 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.675 * [taylor]: Taking taylor expansion of PI in f 2.675 * [taylor]: Taking taylor expansion of f in f 2.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 2.676 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 2.676 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.676 * [taylor]: Taking taylor expansion of 0.25 in f 2.676 * [taylor]: Taking taylor expansion of (* f PI) in f 2.676 * [taylor]: Taking taylor expansion of f in f 2.676 * [taylor]: Taking taylor expansion of PI in f 2.676 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.676 * [taylor]: Taking taylor expansion of 0.25 in f 2.676 * [taylor]: Taking taylor expansion of (* f PI) in f 2.676 * [taylor]: Taking taylor expansion of f in f 2.676 * [taylor]: Taking taylor expansion of PI in f 2.677 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 2.677 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.677 * [taylor]: Taking taylor expansion of 0.25 in f 2.677 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.677 * [taylor]: Taking taylor expansion of PI in f 2.677 * [taylor]: Taking taylor expansion of f in f 2.677 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.677 * [taylor]: Taking taylor expansion of 0.25 in f 2.677 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.677 * [taylor]: Taking taylor expansion of PI in f 2.677 * [taylor]: Taking taylor expansion of f in f 2.678 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 2.678 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.678 * [taylor]: Taking taylor expansion of -0.25 in f 2.678 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.678 * [taylor]: Taking taylor expansion of PI in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.678 * [taylor]: Taking taylor expansion of -0.25 in f 2.678 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.678 * [taylor]: Taking taylor expansion of PI in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.679 * * * [progress]: simplifying candidates 2.682 * [simplify]: Simplifying using # : (- (log (cosh (* PI (/ f 4.0)))) (log (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (exp (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (/ (* (* (cosh (* PI (/ f 4.0))) (cosh (* PI (/ f 4.0)))) (cosh (* PI (/ f 4.0)))) (* (* (sinh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (* (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (* (* (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))) (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (neg (cosh (* PI (/ f 4.0)))) (neg (sinh (* (/ PI 4.0) f))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) 1) (/ (cbrt (cosh (* PI (/ f 4.0)))) (sinh (* (/ PI 4.0) f))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* PI (/ f 4.0)))) 1) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* PI (/ f 4.0))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ 1 (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ 1 1) (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))) (/ 1 (sinh (* (/ PI 4.0) f))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* PI (/ f 4.0)))) (/ (cosh (* PI (/ f 4.0))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* PI (/ f 4.0))) 1) (/ (sinh (* (/ PI 4.0) f)) (cbrt (cosh (* PI (/ f 4.0))))) (/ (sinh (* (/ PI 4.0) f)) (sqrt (cosh (* PI (/ f 4.0))))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* PI (/ f 4.0)))) (/ (cosh (* PI (/ f 4.0))) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (* (sinh (* (/ PI 4.0) f)) 2) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (+ (- (log 1.0) (- (log PI) (log 4.0))) (log (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (+ (- (log 1.0) (log (/ PI 4.0))) (log (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (+ (log (/ 1.0 (/ PI 4.0))) (log (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (log (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (exp (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (* (* 1.0 1.0) 1.0) (/ (* (* PI PI) PI) (* (* 4.0 4.0) 4.0))) (* (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (/ PI 4.0) (/ PI 4.0)) (/ PI 4.0))) (* (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (* (* (/ 1.0 (/ PI 4.0)) (/ 1.0 (/ PI 4.0))) (/ 1.0 (/ PI 4.0))) (* (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))))) (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (* (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (sqrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (sqrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (sqrt (/ 1.0 (/ PI 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (sqrt (/ 1.0 (/ PI 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (sqrt 1.0) (sqrt (/ PI 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (sqrt 1.0) (sqrt (/ PI 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (sqrt 1.0) (/ (sqrt PI) (sqrt 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ (sqrt 1.0) (/ (sqrt PI) (sqrt 4.0))) (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (* (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))))) (* (/ 1.0 (/ PI 4.0)) (log (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cbrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) 1))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cbrt (cosh (* PI (/ f 4.0)))) (sinh (* (/ PI 4.0) f))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) 1))) (* (/ 1.0 (/ PI 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* (/ PI 4.0) f))))) (* (/ 1.0 (/ PI 4.0)) (log (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (cbrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ 1 (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ 1 1))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* (/ PI 4.0) f))))) (* (/ 1.0 (/ PI 4.0)) (log 1)) 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(* 1.0 (/ (log (/ (cbrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0))))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (log (sqrt (cosh (* PI (/ f 4.0))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (/ PI 4.0))) (* 1.0 (/ (neg (log (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0))))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (cosh (* PI (/ f 4.0))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (neg (log (sqrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (log (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 1.0 (/ (log 1) (/ PI 4.0))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 PI))) (* 1.0 (/ (log 1) (/ PI 4.0))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 PI))) (* (log (cosh (* PI (/ f 4.0)))) (* 4.0 (/ 1.0 PI))) (* (log (sinh (* PI (/ f 4.0)))) (neg (* 4.0 (/ 1.0 PI)))) (* 1.0 (/ (log (/ (cosh (* PI (/ f 4.0))) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (/ PI 4.0))) (* 1.0 (/ (log 2) (/ PI 4.0))) (* 4.0 (/ 1.0 PI)) (* 1.0 (/ (* (cbrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))))) (cbrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))))) (/ PI 4.0))) (* 1.0 (/ (sqrt (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))))) (/ PI 4.0))) (* 4.0 (/ 1.0 PI)) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (cbrt (* 4.0 (/ 1.0 PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (sqrt (* 4.0 (/ 1.0 PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (cbrt 1.0) (cbrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (cbrt 1.0) (sqrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (cbrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (cbrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (cbrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (cbrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (cbrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (cbrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (cbrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (cbrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (cbrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (cbrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (cbrt 1.0))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (sqrt 1.0) (cbrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (sqrt 1.0) (sqrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (sqrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (sqrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (sqrt 1.0) (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (sqrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (sqrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (sqrt 1.0) (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ (sqrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ (sqrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (sqrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ (sqrt 1.0) PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (sqrt 1.0))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ 1.0 (cbrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ 1.0 (sqrt (/ PI 4.0)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ 1.0 (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ 1.0 (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 (cbrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ 1.0 (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ 1.0 (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 (sqrt PI)))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (/ 1.0 PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (sqrt 4.0) (/ 1.0 PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 1.0)) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* 4.0 (/ 1.0 PI))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ 4.0 PI)) (* 4.0 (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))))) (* (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) 1.0) (* PI (/ f 4.0)) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (pow (exp (/ PI 4.0)) f) (pow (* PI (/ f 4.0)) 3) (pow (* PI (/ f 4.0)) 3) (* (cbrt (* PI (/ f 4.0))) (cbrt (* PI (/ f 4.0)))) (cbrt (* PI (/ f 4.0))) (pow (* PI (/ f 4.0)) 3) (sqrt (* PI (/ f 4.0))) (sqrt (* PI (/ f 4.0))) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt (/ PI 4.0)) (sqrt f)) (* (sqrt PI) (/ (sqrt f) (sqrt 4.0))) (* (sqrt PI) (/ (sqrt f) (sqrt 4.0))) (* (/ PI 4.0) (* (cbrt f) (cbrt f))) (* (/ PI 4.0) (sqrt f)) (/ PI 4.0) (* f (cbrt (/ PI 4.0))) (* f (sqrt (/ PI 4.0))) (* f (/ (cbrt PI) (cbrt 4.0))) (* f (/ (cbrt PI) (sqrt 4.0))) (* f (/ (cbrt PI) 4.0)) (* f (/ (sqrt PI) (cbrt 4.0))) (* f (/ (sqrt PI) (sqrt 4.0))) (* f (/ (sqrt PI) 4.0)) (* f (/ PI (cbrt 4.0))) (* f (/ PI (sqrt 4.0))) (* PI (/ f 4.0)) (* PI (/ f 4.0)) (/ f 4.0) (* PI f) (* PI (/ f 4.0)) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (log (* PI (/ f 4.0))) (pow (exp (/ PI 4.0)) f) (pow (* PI (/ f 4.0)) 3) (pow (* PI (/ f 4.0)) 3) (* (cbrt (* PI (/ f 4.0))) (cbrt (* PI (/ f 4.0)))) (cbrt (* PI (/ f 4.0))) (pow (* PI (/ f 4.0)) 3) (sqrt (* PI (/ f 4.0))) (sqrt (* PI (/ f 4.0))) (* (sqrt PI) (sqrt (/ f 4.0))) (* (sqrt PI) (sqrt (/ f 4.0))) (* (sqrt PI) (/ (sqrt f) (sqrt 4.0))) (* (sqrt PI) (/ (sqrt f) (sqrt 4.0))) (* PI (* (cbrt (/ f 4.0)) (cbrt (/ f 4.0)))) (* PI (sqrt (/ f 4.0))) (* PI (* (/ (cbrt f) (cbrt 4.0)) (/ (cbrt f) (cbrt 4.0)))) (* PI (* (/ (cbrt f) (sqrt 4.0)) (cbrt f))) (* PI (* (cbrt f) (cbrt f))) (* PI (/ (sqrt f) (* (cbrt 4.0) (cbrt 4.0)))) (* PI (/ (sqrt f) (sqrt 4.0))) (* PI (sqrt f)) (/ PI (* (cbrt 4.0) (cbrt 4.0))) (/ PI (sqrt 4.0)) PI PI (* PI f) (* f (/ (cbrt PI) 4.0)) (* f (/ (sqrt PI) 4.0)) (* PI (/ f 4.0)) (* PI f) (+ (/ 4.0 (* PI f)) (- (* PI (* f 0.08333333333333334)) (* 0.0003472222222222224 (pow (* PI f) 3)))) (/ (+ (pow (exp PI) (* f (neg 0.25))) (pow (exp PI) (* f 0.25))) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f (neg 0.25))))) (/ (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25))) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))) (+ (* 4.0 (/ (log (/ 4.0 PI)) PI)) (- (* PI (* (* f f) 0.08333333333333334)) (+ (* 0.01388888888888889 (* (/ (pow PI 3) 4.0) (/ (pow f 4) 4.0))) (+ (* 4.0 (/ (log f) PI)) (* (pow PI 3) (* 0.0003472222222222224 (pow f 4))))))) (* 4.0 (/ (log (/ (+ (pow (exp PI) (* f (neg 0.25))) (pow (exp PI) (* f 0.25))) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f (neg 0.25)))))) PI)) (* 4.0 (/ (log (/ (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25))) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25))))) PI)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) (* PI (* f 0.25)) 2.759 * * * [progress]: adding candidates to table 3.220 * * [progress]: iteration 3 / 4 3.220 * * * [progress]: picking best candidate 3.248 * * * * [pick]: Picked # 3.248 * * * [progress]: localizing error 3.266 * * * [progress]: generating rewritten candidates 3.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 3.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 3.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 3.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 3.295 * * * [progress]: generating series expansions 3.295 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 3.295 * [approximate]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (* f PI))))) in (f) around 0 3.295 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (* f PI))))) in f 3.295 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.295 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.295 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.295 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.295 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.295 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.295 * [taylor]: Taking taylor expansion of 0.25 in f 3.296 * [taylor]: Taking taylor expansion of (* f PI) in f 3.296 * [taylor]: Taking taylor expansion of f in f 3.296 * [taylor]: Taking taylor expansion of PI in f 3.296 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.296 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.296 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.296 * [taylor]: Taking taylor expansion of 0.25 in f 3.296 * [taylor]: Taking taylor expansion of (* f PI) in f 3.296 * [taylor]: Taking taylor expansion of f in f 3.296 * [taylor]: Taking taylor expansion of PI in f 3.296 * [taylor]: Taking taylor expansion of 2 in f 3.296 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (* f PI))))) in f 3.296 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.296 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.296 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.297 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.297 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.297 * [taylor]: Taking taylor expansion of 0.25 in f 3.297 * [taylor]: Taking taylor expansion of (* f PI) in f 3.297 * [taylor]: Taking taylor expansion of f in f 3.297 * [taylor]: Taking taylor expansion of PI in f 3.297 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.297 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.297 * [taylor]: Taking taylor expansion of 0.25 in f 3.297 * [taylor]: Taking taylor expansion of (* f PI) in f 3.297 * [taylor]: Taking taylor expansion of f in f 3.297 * [taylor]: Taking taylor expansion of PI in f 3.297 * [taylor]: Taking taylor expansion of 2 in f 3.303 * [approximate]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (/ PI f))))) in (f) around 0 3.303 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.303 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.303 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.303 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.303 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.303 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.303 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.303 * [taylor]: Taking taylor expansion of 0.25 in f 3.303 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.303 * [taylor]: Taking taylor expansion of PI in f 3.303 * [taylor]: Taking taylor expansion of f in f 3.303 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.303 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.303 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.303 * [taylor]: Taking taylor expansion of 0.25 in f 3.303 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.303 * [taylor]: Taking taylor expansion of PI in f 3.303 * [taylor]: Taking taylor expansion of f in f 3.303 * [taylor]: Taking taylor expansion of 2 in f 3.304 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.304 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.304 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.304 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.304 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.304 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.304 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.304 * [taylor]: Taking taylor expansion of 0.25 in f 3.304 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.304 * [taylor]: Taking taylor expansion of PI in f 3.304 * [taylor]: Taking taylor expansion of f in f 3.304 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.304 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.304 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.304 * [taylor]: Taking taylor expansion of 0.25 in f 3.304 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.304 * [taylor]: Taking taylor expansion of PI in f 3.304 * [taylor]: Taking taylor expansion of f in f 3.305 * [taylor]: Taking taylor expansion of 2 in f 3.313 * [approximate]: Taking taylor expansion of (log (sqrt (cosh (* -0.25 (/ PI f))))) in (f) around 0 3.313 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* -0.25 (/ PI f))))) in f 3.313 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.313 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.314 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.314 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.314 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.314 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.314 * [taylor]: Taking taylor expansion of -0.25 in f 3.314 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.314 * [taylor]: Taking taylor expansion of PI in f 3.314 * [taylor]: Taking taylor expansion of f in f 3.314 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.314 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.314 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.314 * [taylor]: Taking taylor expansion of -0.25 in f 3.314 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.314 * [taylor]: Taking taylor expansion of PI in f 3.314 * [taylor]: Taking taylor expansion of f in f 3.314 * [taylor]: Taking taylor expansion of 2 in f 3.314 * [taylor]: Taking taylor expansion of (log (sqrt (cosh (* -0.25 (/ PI f))))) in f 3.315 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.315 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.315 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.315 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.315 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.315 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.315 * [taylor]: Taking taylor expansion of -0.25 in f 3.315 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.315 * [taylor]: Taking taylor expansion of PI in f 3.315 * [taylor]: Taking taylor expansion of f in f 3.315 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.315 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.315 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.315 * [taylor]: Taking taylor expansion of -0.25 in f 3.315 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.315 * [taylor]: Taking taylor expansion of PI in f 3.315 * [taylor]: Taking taylor expansion of f in f 3.315 * [taylor]: Taking taylor expansion of 2 in f 3.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 3.323 * [approximate]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in (f) around 0 3.323 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.323 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.323 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.323 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.323 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.323 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.323 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.323 * [taylor]: Taking taylor expansion of 0.25 in f 3.323 * [taylor]: Taking taylor expansion of (* f PI) in f 3.323 * [taylor]: Taking taylor expansion of f in f 3.323 * [taylor]: Taking taylor expansion of PI in f 3.324 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.324 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.324 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.324 * [taylor]: Taking taylor expansion of 0.25 in f 3.324 * [taylor]: Taking taylor expansion of (* f PI) in f 3.324 * [taylor]: Taking taylor expansion of f in f 3.324 * [taylor]: Taking taylor expansion of PI in f 3.324 * [taylor]: Taking taylor expansion of 2 in f 3.324 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.324 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.324 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.324 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.324 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.324 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.324 * [taylor]: Taking taylor expansion of 0.25 in f 3.324 * [taylor]: Taking taylor expansion of (* f PI) in f 3.324 * [taylor]: Taking taylor expansion of f in f 3.324 * [taylor]: Taking taylor expansion of PI in f 3.324 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.324 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.324 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.324 * [taylor]: Taking taylor expansion of 0.25 in f 3.324 * [taylor]: Taking taylor expansion of (* f PI) in f 3.324 * [taylor]: Taking taylor expansion of f in f 3.324 * [taylor]: Taking taylor expansion of PI in f 3.325 * [taylor]: Taking taylor expansion of 2 in f 3.325 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.325 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.325 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.325 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.325 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.325 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.325 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.325 * [taylor]: Taking taylor expansion of 0.25 in f 3.325 * [taylor]: Taking taylor expansion of (* f PI) in f 3.325 * [taylor]: Taking taylor expansion of f in f 3.325 * [taylor]: Taking taylor expansion of PI in f 3.325 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.325 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.325 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.325 * [taylor]: Taking taylor expansion of 0.25 in f 3.325 * [taylor]: Taking taylor expansion of (* f PI) in f 3.325 * [taylor]: Taking taylor expansion of f in f 3.325 * [taylor]: Taking taylor expansion of PI in f 3.325 * [taylor]: Taking taylor expansion of 2 in f 3.326 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.326 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.326 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.326 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.326 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.326 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.326 * [taylor]: Taking taylor expansion of 0.25 in f 3.326 * [taylor]: Taking taylor expansion of (* f PI) in f 3.326 * [taylor]: Taking taylor expansion of f in f 3.326 * [taylor]: Taking taylor expansion of PI in f 3.326 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.326 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.326 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.326 * [taylor]: Taking taylor expansion of 0.25 in f 3.326 * [taylor]: Taking taylor expansion of (* f PI) in f 3.326 * [taylor]: Taking taylor expansion of f in f 3.326 * [taylor]: Taking taylor expansion of PI in f 3.326 * [taylor]: Taking taylor expansion of 2 in f 3.336 * [approximate]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in (f) around 0 3.336 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.336 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.336 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.336 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.336 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.336 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.336 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.336 * [taylor]: Taking taylor expansion of 0.25 in f 3.336 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.336 * [taylor]: Taking taylor expansion of PI in f 3.336 * [taylor]: Taking taylor expansion of f in f 3.337 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.337 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.337 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.337 * [taylor]: Taking taylor expansion of 0.25 in f 3.337 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.337 * [taylor]: Taking taylor expansion of PI in f 3.337 * [taylor]: Taking taylor expansion of f in f 3.337 * [taylor]: Taking taylor expansion of 2 in f 3.337 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.337 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.337 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.337 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.337 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.337 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.337 * [taylor]: Taking taylor expansion of 0.25 in f 3.337 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.337 * [taylor]: Taking taylor expansion of PI in f 3.337 * [taylor]: Taking taylor expansion of f in f 3.337 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.337 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.337 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.337 * [taylor]: Taking taylor expansion of 0.25 in f 3.337 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.337 * [taylor]: Taking taylor expansion of PI in f 3.338 * [taylor]: Taking taylor expansion of f in f 3.338 * [taylor]: Taking taylor expansion of 2 in f 3.338 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.338 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.338 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.338 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.338 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.338 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.338 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.338 * [taylor]: Taking taylor expansion of 0.25 in f 3.338 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.338 * [taylor]: Taking taylor expansion of PI in f 3.338 * [taylor]: Taking taylor expansion of f in f 3.338 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.338 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.338 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.338 * [taylor]: Taking taylor expansion of 0.25 in f 3.339 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.339 * [taylor]: Taking taylor expansion of PI in f 3.339 * [taylor]: Taking taylor expansion of f in f 3.339 * [taylor]: Taking taylor expansion of 2 in f 3.339 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.339 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.339 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.339 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.339 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.339 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.339 * [taylor]: Taking taylor expansion of 0.25 in f 3.339 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.339 * [taylor]: Taking taylor expansion of PI in f 3.339 * [taylor]: Taking taylor expansion of f in f 3.339 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.339 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.339 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.339 * [taylor]: Taking taylor expansion of 0.25 in f 3.339 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.339 * [taylor]: Taking taylor expansion of PI in f 3.339 * [taylor]: Taking taylor expansion of f in f 3.339 * [taylor]: Taking taylor expansion of 2 in f 3.351 * [approximate]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in (f) around 0 3.351 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.351 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.351 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.351 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.351 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.351 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.351 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.351 * [taylor]: Taking taylor expansion of -0.25 in f 3.351 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.351 * [taylor]: Taking taylor expansion of PI in f 3.351 * [taylor]: Taking taylor expansion of f in f 3.351 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.351 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.351 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.351 * [taylor]: Taking taylor expansion of -0.25 in f 3.351 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.351 * [taylor]: Taking taylor expansion of PI in f 3.351 * [taylor]: Taking taylor expansion of f in f 3.351 * [taylor]: Taking taylor expansion of 2 in f 3.352 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.352 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.352 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.352 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.352 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.352 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.352 * [taylor]: Taking taylor expansion of -0.25 in f 3.352 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.352 * [taylor]: Taking taylor expansion of PI in f 3.352 * [taylor]: Taking taylor expansion of f in f 3.352 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.352 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.352 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.352 * [taylor]: Taking taylor expansion of -0.25 in f 3.352 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.352 * [taylor]: Taking taylor expansion of PI in f 3.352 * [taylor]: Taking taylor expansion of f in f 3.352 * [taylor]: Taking taylor expansion of 2 in f 3.352 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.352 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.352 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.353 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.353 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.353 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.353 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.353 * [taylor]: Taking taylor expansion of -0.25 in f 3.353 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.353 * [taylor]: Taking taylor expansion of PI in f 3.353 * [taylor]: Taking taylor expansion of f in f 3.353 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.353 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.353 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.353 * [taylor]: Taking taylor expansion of -0.25 in f 3.353 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.353 * [taylor]: Taking taylor expansion of PI in f 3.353 * [taylor]: Taking taylor expansion of f in f 3.353 * [taylor]: Taking taylor expansion of 2 in f 3.353 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.353 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.353 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.353 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.354 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.354 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.354 * [taylor]: Taking taylor expansion of -0.25 in f 3.354 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.354 * [taylor]: Taking taylor expansion of PI in f 3.354 * [taylor]: Taking taylor expansion of f in f 3.354 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.354 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.354 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.354 * [taylor]: Taking taylor expansion of -0.25 in f 3.354 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.354 * [taylor]: Taking taylor expansion of PI in f 3.354 * [taylor]: Taking taylor expansion of f in f 3.354 * [taylor]: Taking taylor expansion of 2 in f 3.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 3.361 * [approximate]: Taking taylor expansion of (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) in (f) around 0 3.361 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) in f 3.361 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.361 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.361 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.361 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.361 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.361 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.361 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.361 * [taylor]: Taking taylor expansion of 0.25 in f 3.361 * [taylor]: Taking taylor expansion of (* f PI) in f 3.361 * [taylor]: Taking taylor expansion of f in f 3.361 * [taylor]: Taking taylor expansion of PI in f 3.361 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.361 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.361 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.361 * [taylor]: Taking taylor expansion of 0.25 in f 3.361 * [taylor]: Taking taylor expansion of (* f PI) in f 3.361 * [taylor]: Taking taylor expansion of f in f 3.361 * [taylor]: Taking taylor expansion of PI in f 3.361 * [taylor]: Taking taylor expansion of 2 in f 3.361 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.362 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.362 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.362 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.362 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.362 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.362 * [taylor]: Taking taylor expansion of 0.25 in f 3.362 * [taylor]: Taking taylor expansion of (* f PI) in f 3.362 * [taylor]: Taking taylor expansion of f in f 3.362 * [taylor]: Taking taylor expansion of PI in f 3.362 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.362 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.362 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.362 * [taylor]: Taking taylor expansion of 0.25 in f 3.362 * [taylor]: Taking taylor expansion of (* f PI) in f 3.362 * [taylor]: Taking taylor expansion of f in f 3.362 * [taylor]: Taking taylor expansion of PI in f 3.362 * [taylor]: Taking taylor expansion of 2 in f 3.362 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) in f 3.362 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.362 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.362 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.362 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.362 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.362 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.363 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.363 * [taylor]: Taking taylor expansion of 0.25 in f 3.363 * [taylor]: Taking taylor expansion of (* f PI) in f 3.363 * [taylor]: Taking taylor expansion of f in f 3.363 * [taylor]: Taking taylor expansion of PI in f 3.363 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.363 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.363 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.363 * [taylor]: Taking taylor expansion of 0.25 in f 3.363 * [taylor]: Taking taylor expansion of (* f PI) in f 3.363 * [taylor]: Taking taylor expansion of f in f 3.363 * [taylor]: Taking taylor expansion of PI in f 3.363 * [taylor]: Taking taylor expansion of 2 in f 3.363 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.363 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.363 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.363 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.363 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.363 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.363 * [taylor]: Taking taylor expansion of 0.25 in f 3.363 * [taylor]: Taking taylor expansion of (* f PI) in f 3.363 * [taylor]: Taking taylor expansion of f in f 3.363 * [taylor]: Taking taylor expansion of PI in f 3.363 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.363 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.363 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.364 * [taylor]: Taking taylor expansion of 0.25 in f 3.364 * [taylor]: Taking taylor expansion of (* f PI) in f 3.364 * [taylor]: Taking taylor expansion of f in f 3.364 * [taylor]: Taking taylor expansion of PI in f 3.364 * [taylor]: Taking taylor expansion of 2 in f 3.375 * [approximate]: Taking taylor expansion of (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) in (f) around 0 3.375 * [taylor]: Taking taylor expansion of (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) in f 3.375 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.375 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.375 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.375 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.375 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.375 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.375 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.376 * [taylor]: Taking taylor expansion of 0.25 in f 3.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.376 * [taylor]: Taking taylor expansion of PI in f 3.376 * [taylor]: Taking taylor expansion of f in f 3.376 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.376 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.376 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.376 * [taylor]: Taking taylor expansion of 0.25 in f 3.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.376 * [taylor]: Taking taylor expansion of PI in f 3.376 * [taylor]: Taking taylor expansion of f in f 3.376 * [taylor]: Taking taylor expansion of 2 in f 3.376 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.376 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.376 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.376 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.376 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.376 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.376 * [taylor]: Taking taylor expansion of 0.25 in f 3.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.376 * [taylor]: Taking taylor expansion of PI in f 3.376 * [taylor]: Taking taylor expansion of f in f 3.376 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.376 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.377 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.377 * [taylor]: Taking taylor expansion of 0.25 in f 3.377 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.377 * [taylor]: Taking taylor expansion of PI in f 3.377 * [taylor]: Taking taylor expansion of f in f 3.377 * [taylor]: Taking taylor expansion of 2 in f 3.378 * [taylor]: Taking taylor expansion of (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) in f 3.378 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.378 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.378 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.378 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.378 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.378 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.378 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.378 * [taylor]: Taking taylor expansion of 0.25 in f 3.378 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.378 * [taylor]: Taking taylor expansion of PI in f 3.378 * [taylor]: Taking taylor expansion of f in f 3.378 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.378 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.378 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.378 * [taylor]: Taking taylor expansion of 0.25 in f 3.378 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.378 * [taylor]: Taking taylor expansion of PI in f 3.378 * [taylor]: Taking taylor expansion of f in f 3.378 * [taylor]: Taking taylor expansion of 2 in f 3.378 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.378 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.379 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.379 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.379 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.379 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.379 * [taylor]: Taking taylor expansion of 0.25 in f 3.379 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.379 * [taylor]: Taking taylor expansion of PI in f 3.379 * [taylor]: Taking taylor expansion of f in f 3.379 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.379 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.379 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.379 * [taylor]: Taking taylor expansion of 0.25 in f 3.379 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.379 * [taylor]: Taking taylor expansion of PI in f 3.379 * [taylor]: Taking taylor expansion of f in f 3.379 * [taylor]: Taking taylor expansion of 2 in f 3.396 * [approximate]: Taking taylor expansion of (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) in (f) around 0 3.396 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 3.396 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.396 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.396 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.397 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.397 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.397 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.397 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.397 * [taylor]: Taking taylor expansion of -0.25 in f 3.397 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.397 * [taylor]: Taking taylor expansion of PI in f 3.397 * [taylor]: Taking taylor expansion of f in f 3.397 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.397 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.397 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.397 * [taylor]: Taking taylor expansion of -0.25 in f 3.397 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.397 * [taylor]: Taking taylor expansion of PI in f 3.397 * [taylor]: Taking taylor expansion of f in f 3.397 * [taylor]: Taking taylor expansion of 2 in f 3.397 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.397 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.397 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.398 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.398 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.398 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.398 * [taylor]: Taking taylor expansion of -0.25 in f 3.398 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.398 * [taylor]: Taking taylor expansion of PI in f 3.398 * [taylor]: Taking taylor expansion of f in f 3.398 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.398 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.398 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.398 * [taylor]: Taking taylor expansion of -0.25 in f 3.398 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.398 * [taylor]: Taking taylor expansion of PI in f 3.398 * [taylor]: Taking taylor expansion of f in f 3.398 * [taylor]: Taking taylor expansion of 2 in f 3.399 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 3.399 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.399 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.399 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.399 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.399 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.399 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.399 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.399 * [taylor]: Taking taylor expansion of -0.25 in f 3.399 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.399 * [taylor]: Taking taylor expansion of PI in f 3.399 * [taylor]: Taking taylor expansion of f in f 3.399 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.399 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.399 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.399 * [taylor]: Taking taylor expansion of -0.25 in f 3.399 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.399 * [taylor]: Taking taylor expansion of PI in f 3.399 * [taylor]: Taking taylor expansion of f in f 3.399 * [taylor]: Taking taylor expansion of 2 in f 3.400 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.400 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.400 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.400 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.400 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.400 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.400 * [taylor]: Taking taylor expansion of -0.25 in f 3.400 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.400 * [taylor]: Taking taylor expansion of PI in f 3.400 * [taylor]: Taking taylor expansion of f in f 3.400 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.400 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.400 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.400 * [taylor]: Taking taylor expansion of -0.25 in f 3.400 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.400 * [taylor]: Taking taylor expansion of PI in f 3.400 * [taylor]: Taking taylor expansion of f in f 3.400 * [taylor]: Taking taylor expansion of 2 in f 3.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 3.416 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) PI)) in (f) around 0 3.416 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) PI)) in f 3.416 * [taylor]: Taking taylor expansion of 4.0 in f 3.416 * [taylor]: Taking taylor expansion of (/ (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) PI) in f 3.416 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) in f 3.416 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.416 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.416 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.416 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.416 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.416 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.416 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.416 * [taylor]: Taking taylor expansion of 0.25 in f 3.416 * [taylor]: Taking taylor expansion of (* f PI) in f 3.417 * [taylor]: Taking taylor expansion of f in f 3.417 * [taylor]: Taking taylor expansion of PI in f 3.417 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.417 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.417 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.417 * [taylor]: Taking taylor expansion of 0.25 in f 3.417 * [taylor]: Taking taylor expansion of (* f PI) in f 3.417 * [taylor]: Taking taylor expansion of f in f 3.417 * [taylor]: Taking taylor expansion of PI in f 3.417 * [taylor]: Taking taylor expansion of 2 in f 3.417 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.417 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.417 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.417 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.417 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.417 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.417 * [taylor]: Taking taylor expansion of 0.25 in f 3.417 * [taylor]: Taking taylor expansion of (* f PI) in f 3.417 * [taylor]: Taking taylor expansion of f in f 3.417 * [taylor]: Taking taylor expansion of PI in f 3.417 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.417 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.417 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.417 * [taylor]: Taking taylor expansion of 0.25 in f 3.417 * [taylor]: Taking taylor expansion of (* f PI) in f 3.418 * [taylor]: Taking taylor expansion of f in f 3.418 * [taylor]: Taking taylor expansion of PI in f 3.418 * [taylor]: Taking taylor expansion of 2 in f 3.418 * [taylor]: Taking taylor expansion of PI in f 3.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) PI)) in f 3.418 * [taylor]: Taking taylor expansion of 4.0 in f 3.418 * [taylor]: Taking taylor expansion of (/ (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) PI) in f 3.418 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI)))))) in f 3.418 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* 0.25 (* f PI)))) (/ 1 (sinh (* 0.25 (* f PI))))) in f 3.418 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (* f PI)))) in f 3.418 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.418 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.418 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.418 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.418 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.418 * [taylor]: Taking taylor expansion of 0.25 in f 3.418 * [taylor]: Taking taylor expansion of (* f PI) in f 3.418 * [taylor]: Taking taylor expansion of f in f 3.418 * [taylor]: Taking taylor expansion of PI in f 3.419 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.419 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.419 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.419 * [taylor]: Taking taylor expansion of 0.25 in f 3.419 * [taylor]: Taking taylor expansion of (* f PI) in f 3.419 * [taylor]: Taking taylor expansion of f in f 3.419 * [taylor]: Taking taylor expansion of PI in f 3.419 * [taylor]: Taking taylor expansion of 2 in f 3.419 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 3.419 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.419 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.419 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.419 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.419 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.419 * [taylor]: Taking taylor expansion of 0.25 in f 3.419 * [taylor]: Taking taylor expansion of (* f PI) in f 3.419 * [taylor]: Taking taylor expansion of f in f 3.419 * [taylor]: Taking taylor expansion of PI in f 3.419 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.419 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.419 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.419 * [taylor]: Taking taylor expansion of 0.25 in f 3.419 * [taylor]: Taking taylor expansion of (* f PI) in f 3.419 * [taylor]: Taking taylor expansion of f in f 3.419 * [taylor]: Taking taylor expansion of PI in f 3.420 * [taylor]: Taking taylor expansion of 2 in f 3.420 * [taylor]: Taking taylor expansion of PI in f 3.434 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) PI)) in (f) around 0 3.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) PI)) in f 3.434 * [taylor]: Taking taylor expansion of 4.0 in f 3.434 * [taylor]: Taking taylor expansion of (/ (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) PI) in f 3.434 * [taylor]: Taking taylor expansion of (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) in f 3.434 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.434 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.434 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.435 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.435 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.435 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.435 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.435 * [taylor]: Taking taylor expansion of 0.25 in f 3.435 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.435 * [taylor]: Taking taylor expansion of PI in f 3.435 * [taylor]: Taking taylor expansion of f in f 3.435 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.435 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.435 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.435 * [taylor]: Taking taylor expansion of 0.25 in f 3.435 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.435 * [taylor]: Taking taylor expansion of PI in f 3.435 * [taylor]: Taking taylor expansion of f in f 3.435 * [taylor]: Taking taylor expansion of 2 in f 3.435 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.435 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.435 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.435 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.435 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.435 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.435 * [taylor]: Taking taylor expansion of 0.25 in f 3.436 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.436 * [taylor]: Taking taylor expansion of PI in f 3.436 * [taylor]: Taking taylor expansion of f in f 3.436 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.436 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.436 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.436 * [taylor]: Taking taylor expansion of 0.25 in f 3.436 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.436 * [taylor]: Taking taylor expansion of PI in f 3.436 * [taylor]: Taking taylor expansion of f in f 3.436 * [taylor]: Taking taylor expansion of 2 in f 3.437 * [taylor]: Taking taylor expansion of PI in f 3.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) PI)) in f 3.437 * [taylor]: Taking taylor expansion of 4.0 in f 3.437 * [taylor]: Taking taylor expansion of (/ (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) PI) in f 3.437 * [taylor]: Taking taylor expansion of (log (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f)))))) in f 3.437 * [taylor]: Taking taylor expansion of (* (/ 1 (sinh (* 0.25 (/ PI f)))) (sqrt (cosh (* 0.25 (/ PI f))))) in f 3.437 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 3.437 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.437 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.437 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.437 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.437 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.437 * [taylor]: Taking taylor expansion of 0.25 in f 3.437 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.437 * [taylor]: Taking taylor expansion of PI in f 3.437 * [taylor]: Taking taylor expansion of f in f 3.437 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.437 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.437 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.437 * [taylor]: Taking taylor expansion of 0.25 in f 3.437 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.437 * [taylor]: Taking taylor expansion of PI in f 3.437 * [taylor]: Taking taylor expansion of f in f 3.438 * [taylor]: Taking taylor expansion of 2 in f 3.438 * [taylor]: Taking taylor expansion of (sqrt (cosh (* 0.25 (/ PI f)))) in f 3.438 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.438 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.438 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.438 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.438 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.438 * [taylor]: Taking taylor expansion of 0.25 in f 3.438 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.438 * [taylor]: Taking taylor expansion of PI in f 3.438 * [taylor]: Taking taylor expansion of f in f 3.438 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.438 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.438 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.438 * [taylor]: Taking taylor expansion of 0.25 in f 3.438 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.438 * [taylor]: Taking taylor expansion of PI in f 3.438 * [taylor]: Taking taylor expansion of f in f 3.438 * [taylor]: Taking taylor expansion of 2 in f 3.439 * [taylor]: Taking taylor expansion of PI in f 3.460 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) PI)) in (f) around 0 3.460 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) PI)) in f 3.460 * [taylor]: Taking taylor expansion of 4.0 in f 3.460 * [taylor]: Taking taylor expansion of (/ (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) PI) in f 3.460 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 3.460 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.460 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.460 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.460 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.460 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.460 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.460 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.460 * [taylor]: Taking taylor expansion of -0.25 in f 3.461 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.461 * [taylor]: Taking taylor expansion of PI in f 3.461 * [taylor]: Taking taylor expansion of f in f 3.461 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.461 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.461 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.461 * [taylor]: Taking taylor expansion of -0.25 in f 3.461 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.461 * [taylor]: Taking taylor expansion of PI in f 3.461 * [taylor]: Taking taylor expansion of f in f 3.461 * [taylor]: Taking taylor expansion of 2 in f 3.461 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.461 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.461 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.461 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.461 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.461 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.461 * [taylor]: Taking taylor expansion of -0.25 in f 3.461 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.461 * [taylor]: Taking taylor expansion of PI in f 3.461 * [taylor]: Taking taylor expansion of f in f 3.462 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.462 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.462 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.462 * [taylor]: Taking taylor expansion of -0.25 in f 3.462 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.462 * [taylor]: Taking taylor expansion of PI in f 3.462 * [taylor]: Taking taylor expansion of f in f 3.462 * [taylor]: Taking taylor expansion of 2 in f 3.462 * [taylor]: Taking taylor expansion of PI in f 3.463 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) PI)) in f 3.463 * [taylor]: Taking taylor expansion of 4.0 in f 3.463 * [taylor]: Taking taylor expansion of (/ (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) PI) in f 3.463 * [taylor]: Taking taylor expansion of (log (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 3.463 * [taylor]: Taking taylor expansion of (* (sqrt (cosh (* -0.25 (/ PI f)))) (/ 1 (sinh (* -0.25 (/ PI f))))) in f 3.463 * [taylor]: Taking taylor expansion of (sqrt (cosh (* -0.25 (/ PI f)))) in f 3.463 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.463 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.463 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.463 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.463 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.463 * [taylor]: Taking taylor expansion of -0.25 in f 3.463 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.463 * [taylor]: Taking taylor expansion of PI in f 3.463 * [taylor]: Taking taylor expansion of f in f 3.463 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.463 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.463 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.463 * [taylor]: Taking taylor expansion of -0.25 in f 3.463 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.463 * [taylor]: Taking taylor expansion of PI in f 3.463 * [taylor]: Taking taylor expansion of f in f 3.463 * [taylor]: Taking taylor expansion of 2 in f 3.464 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 3.464 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.464 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.464 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.464 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.464 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.464 * [taylor]: Taking taylor expansion of -0.25 in f 3.464 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.464 * [taylor]: Taking taylor expansion of PI in f 3.464 * [taylor]: Taking taylor expansion of f in f 3.464 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.464 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.464 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.464 * [taylor]: Taking taylor expansion of -0.25 in f 3.464 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.464 * [taylor]: Taking taylor expansion of PI in f 3.464 * [taylor]: Taking taylor expansion of f in f 3.464 * [taylor]: Taking taylor expansion of 2 in f 3.465 * [taylor]: Taking taylor expansion of PI in f 3.483 * * * [progress]: simplifying candidates 3.486 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sqrt (cosh (* PI (/ f 4.0))))))) (log (cbrt (sqrt (cosh (* PI (/ f 4.0)))))) (log (sqrt (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))))) (log (sqrt (cbrt (cosh (* PI (/ f 4.0)))))) (log (sqrt (sqrt (cosh (* PI (/ f 4.0)))))) (log (sqrt (sqrt (cosh (* PI (/ f 4.0)))))) (log (sqrt 1)) (log (sqrt (cosh (* PI (/ f 4.0))))) (log (sqrt (sqrt (cosh (* PI (/ f 4.0)))))) (log (sqrt (sqrt (cosh (* PI (/ f 4.0)))))) (log 1) (log (sqrt (cosh (* PI (/ f 4.0))))) (log (sqrt (+ (exp (* PI (/ f 4.0))) (exp (neg (* PI (/ f 4.0))))))) (log (sqrt 2)) (log (cosh (* PI (/ f 4.0)))) (log (sqrt (cosh (* PI (/ f 4.0))))) (log (cosh (* PI (/ f 4.0)))) (log (log (sqrt (cosh (* PI (/ f 4.0)))))) (exp (log (sqrt (cosh (* PI (/ f 4.0)))))) (* (cbrt (log (sqrt (cosh (* PI (/ f 4.0)))))) (cbrt (log (sqrt (cosh (* PI (/ f 4.0))))))) (cbrt (log (sqrt 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4.0))))) (sqrt (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (sqrt (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (neg (sqrt (cosh (* PI (/ f 4.0))))) (neg (sinh (* PI (/ f 4.0)))) (/ (* (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sqrt (cosh (* PI (/ f 4.0)))))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (* (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sqrt (cosh (* PI (/ f 4.0)))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (* (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sqrt (cosh (* PI (/ f 4.0)))))) 1) (/ (cbrt (sqrt (cosh (* PI (/ f 4.0))))) (sinh (* PI (/ f 4.0)))) (/ (sqrt (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0)))))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (sqrt (cbrt (cosh (* PI (/ f 4.0))))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0)))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (cbrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0)))))) 1) (/ (sqrt (cbrt (cosh (* PI (/ f 4.0))))) (sinh (* PI (/ f 4.0)))) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) 1) (/ (sqrt (sqrt (cosh (* PI (/ f 4.0))))) (sinh (* PI (/ f 4.0)))) (/ (sqrt 1) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (sqrt 1) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 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4.0)))) (sinh (* PI (/ f 4.0))))) (sqrt PI)) (* (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (* (cbrt 4.0) (cbrt 4.0))) (* (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (sqrt 4.0)) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) PI) (/ PI (* 4.0 (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))))) (/ PI (* 4.0 (cbrt (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0)))))))) (/ PI (* 4.0 (sqrt (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0)))))))) (/ PI (* 4.0 (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))))) (/ (log (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) PI) (+ (log 1) (- (* (* PI PI) (* 0.015625 (* f f))) (* 0.00016276041666666666 (* (pow f 4) (pow PI 4))))) (log (* (sqrt 1/2) (sqrt (+ (pow (exp PI) (neg (* f 0.25))) (pow (exp PI) (* f 0.25)))))) (log (* (sqrt 1/2) (sqrt (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))))) (+ (/ 4.0 (* PI f)) (- (* PI (* f 0.020833333333333336)) (* (pow PI 3) (* 0.0005099826388888888 (pow f 3))))) (* 2 (* (sqrt (+ (pow (exp PI) (neg (* f 0.25))) (pow (exp PI) (* f 0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (neg (* f 0.25))))))) (* 2 (* (sqrt (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))))) (+ (* (* PI PI) (* (* f f) 0.005208333333333334)) (- (log (/ 4.0 PI)) (+ (log f) (+ (* 0.0002170138888888889 (* (/ (pow f 4) 4.0) (/ (pow PI 4) 4.0))) (* (pow f 4) (* (pow PI 4) 0.0001274956597222222)))))) (log (* 2 (* (sqrt (+ (pow (exp PI) (neg (* f 0.25))) (pow (exp PI) (* f 0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (neg (* f 0.25)))))))) (log (* 2 (* (sqrt (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25))))))) (+ (* 4.0 (/ (log (/ 4.0 PI)) PI)) (- (* PI (* (* f f) 0.020833333333333336)) (+ (* 0.0008680555555555556 (* (/ (pow f 4) 4.0) (/ (pow PI 3) 4.0))) (+ (* 4.0 (/ (log f) PI)) (* (pow PI 3) (* (pow f 4) 0.0005099826388888888)))))) (* 4.0 (/ (log (* 2 (* (sqrt (+ (pow (exp PI) (neg (* f 0.25))) (pow (exp PI) (* f 0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (neg (* f 0.25)))))))) PI)) (* 4.0 (/ (log (* 2 (* (sqrt (+ (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25)))) (/ (sqrt 1/2) (- (pow (exp PI) (* f 0.25)) (pow (exp PI) (* f -0.25))))))) PI)) 3.554 * * * [progress]: adding candidates to table 4.224 * * [progress]: iteration 4 / 4 4.224 * * * [progress]: picking best candidate 4.250 * * * * [pick]: Picked # 4.250 * * * [progress]: localizing error 4.268 * * * [progress]: generating rewritten candidates 4.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 4.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 1) 4.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 4.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.295 * * * [progress]: generating series expansions 4.295 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 4.295 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in (f) around 0 4.295 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.295 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.295 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.295 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.295 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.295 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.295 * [taylor]: Taking taylor expansion of 0.25 in f 4.295 * [taylor]: Taking taylor expansion of (* f PI) in f 4.295 * [taylor]: Taking taylor expansion of f in f 4.295 * [taylor]: Taking taylor expansion of PI in f 4.295 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.295 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.295 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.295 * [taylor]: Taking taylor expansion of 0.25 in f 4.295 * [taylor]: Taking taylor expansion of (* f PI) in f 4.295 * [taylor]: Taking taylor expansion of f in f 4.295 * [taylor]: Taking taylor expansion of PI in f 4.296 * [taylor]: Taking taylor expansion of 2 in f 4.296 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.296 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.296 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.296 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.296 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.296 * [taylor]: Taking taylor expansion of 0.25 in f 4.296 * [taylor]: Taking taylor expansion of (* f PI) in f 4.296 * [taylor]: Taking taylor expansion of f in f 4.296 * [taylor]: Taking taylor expansion of PI in f 4.296 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.296 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.296 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.296 * [taylor]: Taking taylor expansion of 0.25 in f 4.296 * [taylor]: Taking taylor expansion of (* f PI) in f 4.296 * [taylor]: Taking taylor expansion of f in f 4.296 * [taylor]: Taking taylor expansion of PI in f 4.296 * [taylor]: Taking taylor expansion of 2 in f 4.296 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.296 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.296 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.297 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.297 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.297 * [taylor]: Taking taylor expansion of 0.25 in f 4.297 * [taylor]: Taking taylor expansion of (* f PI) in f 4.297 * [taylor]: Taking taylor expansion of f in f 4.297 * [taylor]: Taking taylor expansion of PI in f 4.297 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.297 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.297 * [taylor]: Taking taylor expansion of 0.25 in f 4.297 * [taylor]: Taking taylor expansion of (* f PI) in f 4.297 * [taylor]: Taking taylor expansion of f in f 4.297 * [taylor]: Taking taylor expansion of PI in f 4.297 * [taylor]: Taking taylor expansion of 2 in f 4.297 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.297 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.297 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.297 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.297 * [taylor]: Taking taylor expansion of 0.25 in f 4.297 * [taylor]: Taking taylor expansion of (* f PI) in f 4.297 * [taylor]: Taking taylor expansion of f in f 4.297 * [taylor]: Taking taylor expansion of PI in f 4.297 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.297 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.297 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.297 * [taylor]: Taking taylor expansion of 0.25 in f 4.297 * [taylor]: Taking taylor expansion of (* f PI) in f 4.297 * [taylor]: Taking taylor expansion of f in f 4.297 * [taylor]: Taking taylor expansion of PI in f 4.297 * [taylor]: Taking taylor expansion of 2 in f 4.307 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in (f) around 0 4.307 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.307 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.307 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.307 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.307 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.307 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.307 * [taylor]: Taking taylor expansion of 0.25 in f 4.307 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.307 * [taylor]: Taking taylor expansion of PI in f 4.307 * [taylor]: Taking taylor expansion of f in f 4.307 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.307 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.307 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.307 * [taylor]: Taking taylor expansion of 0.25 in f 4.307 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.307 * [taylor]: Taking taylor expansion of PI in f 4.307 * [taylor]: Taking taylor expansion of f in f 4.307 * [taylor]: Taking taylor expansion of 2 in f 4.308 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.308 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.308 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.308 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.308 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.308 * [taylor]: Taking taylor expansion of 0.25 in f 4.308 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.308 * [taylor]: Taking taylor expansion of PI in f 4.308 * [taylor]: Taking taylor expansion of f in f 4.310 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.310 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.310 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.310 * [taylor]: Taking taylor expansion of 0.25 in f 4.310 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.310 * [taylor]: Taking taylor expansion of PI in f 4.310 * [taylor]: Taking taylor expansion of f in f 4.310 * [taylor]: Taking taylor expansion of 2 in f 4.311 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.311 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.311 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.311 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.311 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.311 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.311 * [taylor]: Taking taylor expansion of 0.25 in f 4.311 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.311 * [taylor]: Taking taylor expansion of PI in f 4.311 * [taylor]: Taking taylor expansion of f in f 4.311 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.311 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.311 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.311 * [taylor]: Taking taylor expansion of 0.25 in f 4.311 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.311 * [taylor]: Taking taylor expansion of PI in f 4.311 * [taylor]: Taking taylor expansion of f in f 4.311 * [taylor]: Taking taylor expansion of 2 in f 4.312 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.312 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.312 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.312 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.312 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.312 * [taylor]: Taking taylor expansion of 0.25 in f 4.312 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.312 * [taylor]: Taking taylor expansion of PI in f 4.312 * [taylor]: Taking taylor expansion of f in f 4.312 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.312 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.312 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.312 * [taylor]: Taking taylor expansion of 0.25 in f 4.312 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.312 * [taylor]: Taking taylor expansion of PI in f 4.312 * [taylor]: Taking taylor expansion of f in f 4.312 * [taylor]: Taking taylor expansion of 2 in f 4.318 * [approximate]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in (f) around 0 4.319 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.319 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.319 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.319 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.319 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.319 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.319 * [taylor]: Taking taylor expansion of -0.25 in f 4.319 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.319 * [taylor]: Taking taylor expansion of PI in f 4.319 * [taylor]: Taking taylor expansion of f in f 4.319 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.319 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.319 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.319 * [taylor]: Taking taylor expansion of -0.25 in f 4.319 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.319 * [taylor]: Taking taylor expansion of PI in f 4.319 * [taylor]: Taking taylor expansion of f in f 4.319 * [taylor]: Taking taylor expansion of 2 in f 4.319 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.319 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.319 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.319 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.319 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.319 * [taylor]: Taking taylor expansion of -0.25 in f 4.319 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.319 * [taylor]: Taking taylor expansion of PI in f 4.319 * [taylor]: Taking taylor expansion of f in f 4.319 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.320 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.320 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.320 * [taylor]: Taking taylor expansion of -0.25 in f 4.320 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.320 * [taylor]: Taking taylor expansion of PI in f 4.320 * [taylor]: Taking taylor expansion of f in f 4.320 * [taylor]: Taking taylor expansion of 2 in f 4.320 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.320 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.320 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.320 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.320 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.320 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.320 * [taylor]: Taking taylor expansion of -0.25 in f 4.320 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.320 * [taylor]: Taking taylor expansion of PI in f 4.320 * [taylor]: Taking taylor expansion of f in f 4.320 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.320 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.320 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.320 * [taylor]: Taking taylor expansion of -0.25 in f 4.320 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.320 * [taylor]: Taking taylor expansion of PI in f 4.320 * [taylor]: Taking taylor expansion of f in f 4.321 * [taylor]: Taking taylor expansion of 2 in f 4.321 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.321 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.321 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.321 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.321 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.321 * [taylor]: Taking taylor expansion of -0.25 in f 4.321 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.321 * [taylor]: Taking taylor expansion of PI in f 4.321 * [taylor]: Taking taylor expansion of f in f 4.321 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.321 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.321 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.321 * [taylor]: Taking taylor expansion of -0.25 in f 4.321 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.321 * [taylor]: Taking taylor expansion of PI in f 4.321 * [taylor]: Taking taylor expansion of f in f 4.321 * [taylor]: Taking taylor expansion of 2 in f 4.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 1) 4.327 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 4.327 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.327 * [taylor]: Taking taylor expansion of 0.25 in f 4.327 * [taylor]: Taking taylor expansion of (* f PI) in f 4.327 * [taylor]: Taking taylor expansion of f in f 4.327 * [taylor]: Taking taylor expansion of PI in f 4.327 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.327 * [taylor]: Taking taylor expansion of 0.25 in f 4.327 * [taylor]: Taking taylor expansion of (* f PI) in f 4.327 * [taylor]: Taking taylor expansion of f in f 4.327 * [taylor]: Taking taylor expansion of PI in f 4.328 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 4.328 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.328 * [taylor]: Taking taylor expansion of 0.25 in f 4.328 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.328 * [taylor]: Taking taylor expansion of PI in f 4.328 * [taylor]: Taking taylor expansion of f in f 4.328 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.328 * [taylor]: Taking taylor expansion of 0.25 in f 4.328 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.328 * [taylor]: Taking taylor expansion of PI in f 4.328 * [taylor]: Taking taylor expansion of f in f 4.329 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 4.329 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.329 * [taylor]: Taking taylor expansion of -0.25 in f 4.329 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.329 * [taylor]: Taking taylor expansion of PI in f 4.329 * [taylor]: Taking taylor expansion of f in f 4.329 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.329 * [taylor]: Taking taylor expansion of -0.25 in f 4.329 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.329 * [taylor]: Taking taylor expansion of PI in f 4.329 * [taylor]: Taking taylor expansion of f in f 4.330 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 4.330 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 4.330 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.330 * [taylor]: Taking taylor expansion of 0.25 in f 4.330 * [taylor]: Taking taylor expansion of (* f PI) in f 4.330 * [taylor]: Taking taylor expansion of f in f 4.330 * [taylor]: Taking taylor expansion of PI in f 4.330 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.330 * [taylor]: Taking taylor expansion of 0.25 in f 4.330 * [taylor]: Taking taylor expansion of (* f PI) in f 4.330 * [taylor]: Taking taylor expansion of f in f 4.330 * [taylor]: Taking taylor expansion of PI in f 4.331 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 4.331 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.331 * [taylor]: Taking taylor expansion of 0.25 in f 4.331 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.331 * [taylor]: Taking taylor expansion of PI in f 4.331 * [taylor]: Taking taylor expansion of f in f 4.331 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.331 * [taylor]: Taking taylor expansion of 0.25 in f 4.331 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.331 * [taylor]: Taking taylor expansion of PI in f 4.331 * [taylor]: Taking taylor expansion of f in f 4.332 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 4.332 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.332 * [taylor]: Taking taylor expansion of -0.25 in f 4.332 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.332 * [taylor]: Taking taylor expansion of PI in f 4.332 * [taylor]: Taking taylor expansion of f in f 4.332 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.332 * [taylor]: Taking taylor expansion of -0.25 in f 4.332 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.332 * [taylor]: Taking taylor expansion of PI in f 4.332 * [taylor]: Taking taylor expansion of f in f 4.333 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.333 * [approximate]: Taking taylor expansion of (* (* (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in (f) around 0 4.333 * [taylor]: Taking taylor expansion of (* (* (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in f 4.333 * [taylor]: Taking taylor expansion of (* (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) (sqrt 4.0)) in f 4.333 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 4.333 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.333 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.333 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.333 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.333 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.333 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.333 * [taylor]: Taking taylor expansion of 0.25 in f 4.333 * [taylor]: Taking taylor expansion of (* f PI) in f 4.333 * [taylor]: Taking taylor expansion of f in f 4.333 * [taylor]: Taking taylor expansion of PI in f 4.333 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.333 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.333 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.333 * [taylor]: Taking taylor expansion of 0.25 in f 4.333 * [taylor]: Taking taylor expansion of (* f PI) in f 4.333 * [taylor]: Taking taylor expansion of f in f 4.333 * [taylor]: Taking taylor expansion of PI in f 4.333 * [taylor]: Taking taylor expansion of 2 in f 4.333 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.333 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.333 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.334 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.334 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.334 * [taylor]: Taking taylor expansion of 0.25 in f 4.334 * [taylor]: Taking taylor expansion of (* f PI) in f 4.334 * [taylor]: Taking taylor expansion of f in f 4.334 * [taylor]: Taking taylor expansion of PI in f 4.334 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.334 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.334 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.334 * [taylor]: Taking taylor expansion of 0.25 in f 4.334 * [taylor]: Taking taylor expansion of (* f PI) in f 4.334 * [taylor]: Taking taylor expansion of f in f 4.334 * [taylor]: Taking taylor expansion of PI in f 4.334 * [taylor]: Taking taylor expansion of 2 in f 4.334 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.334 * [taylor]: Taking taylor expansion of 4.0 in f 4.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.334 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.334 * [taylor]: Taking taylor expansion of PI in f 4.334 * [taylor]: Taking taylor expansion of (* (* (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in f 4.334 * [taylor]: Taking taylor expansion of (* (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) (sqrt 4.0)) in f 4.334 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 4.335 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.335 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.335 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.335 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.335 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.335 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.335 * [taylor]: Taking taylor expansion of 0.25 in f 4.335 * [taylor]: Taking taylor expansion of (* f PI) in f 4.335 * [taylor]: Taking taylor expansion of f in f 4.335 * [taylor]: Taking taylor expansion of PI in f 4.335 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.335 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.335 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.335 * [taylor]: Taking taylor expansion of 0.25 in f 4.335 * [taylor]: Taking taylor expansion of (* f PI) in f 4.335 * [taylor]: Taking taylor expansion of f in f 4.335 * [taylor]: Taking taylor expansion of PI in f 4.335 * [taylor]: Taking taylor expansion of 2 in f 4.335 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.335 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.335 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.335 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.335 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.335 * [taylor]: Taking taylor expansion of 0.25 in f 4.335 * [taylor]: Taking taylor expansion of (* f PI) in f 4.335 * [taylor]: Taking taylor expansion of f in f 4.335 * [taylor]: Taking taylor expansion of PI in f 4.335 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.335 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.335 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.335 * [taylor]: Taking taylor expansion of 0.25 in f 4.335 * [taylor]: Taking taylor expansion of (* f PI) in f 4.335 * [taylor]: Taking taylor expansion of f in f 4.335 * [taylor]: Taking taylor expansion of PI in f 4.336 * [taylor]: Taking taylor expansion of 2 in f 4.336 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.336 * [taylor]: Taking taylor expansion of 4.0 in f 4.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.336 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.336 * [taylor]: Taking taylor expansion of PI in f 4.351 * [approximate]: Taking taylor expansion of (* (* (sqrt 4.0) (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))))) (sqrt (/ 1 PI))) in (f) around 0 4.351 * [taylor]: Taking taylor expansion of (* (* (sqrt 4.0) (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))))) (sqrt (/ 1 PI))) in f 4.351 * [taylor]: Taking taylor expansion of (* (sqrt 4.0) (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))))) in f 4.351 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.351 * [taylor]: Taking taylor expansion of 4.0 in f 4.351 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 4.351 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.351 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.351 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.351 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.351 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.351 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.351 * [taylor]: Taking taylor expansion of 0.25 in f 4.351 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.351 * [taylor]: Taking taylor expansion of PI in f 4.351 * [taylor]: Taking taylor expansion of f in f 4.351 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.351 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.351 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.351 * [taylor]: Taking taylor expansion of 0.25 in f 4.351 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.351 * [taylor]: Taking taylor expansion of PI in f 4.351 * [taylor]: Taking taylor expansion of f in f 4.351 * [taylor]: Taking taylor expansion of 2 in f 4.351 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.351 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.352 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.352 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.352 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.352 * [taylor]: Taking taylor expansion of 0.25 in f 4.352 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.352 * [taylor]: Taking taylor expansion of PI in f 4.352 * [taylor]: Taking taylor expansion of f in f 4.352 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.352 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.352 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.352 * [taylor]: Taking taylor expansion of 0.25 in f 4.352 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.352 * [taylor]: Taking taylor expansion of PI in f 4.352 * [taylor]: Taking taylor expansion of f in f 4.352 * [taylor]: Taking taylor expansion of 2 in f 4.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.352 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.353 * [taylor]: Taking taylor expansion of PI in f 4.353 * [taylor]: Taking taylor expansion of (* (* (sqrt 4.0) (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))))) (sqrt (/ 1 PI))) in f 4.353 * [taylor]: Taking taylor expansion of (* (sqrt 4.0) (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))))) in f 4.353 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.353 * [taylor]: Taking taylor expansion of 4.0 in f 4.353 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 4.353 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.353 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.353 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.353 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.353 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.353 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.353 * [taylor]: Taking taylor expansion of 0.25 in f 4.353 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.353 * [taylor]: Taking taylor expansion of PI in f 4.353 * [taylor]: Taking taylor expansion of f in f 4.353 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.353 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.353 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.353 * [taylor]: Taking taylor expansion of 0.25 in f 4.353 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.353 * [taylor]: Taking taylor expansion of PI in f 4.353 * [taylor]: Taking taylor expansion of f in f 4.353 * [taylor]: Taking taylor expansion of 2 in f 4.353 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.354 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.354 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.354 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.354 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.354 * [taylor]: Taking taylor expansion of 0.25 in f 4.354 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.354 * [taylor]: Taking taylor expansion of PI in f 4.354 * [taylor]: Taking taylor expansion of f in f 4.354 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.354 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.354 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.354 * [taylor]: Taking taylor expansion of 0.25 in f 4.354 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.354 * [taylor]: Taking taylor expansion of PI in f 4.354 * [taylor]: Taking taylor expansion of f in f 4.354 * [taylor]: Taking taylor expansion of 2 in f 4.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.355 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.355 * [taylor]: Taking taylor expansion of PI in f 4.373 * [approximate]: Taking taylor expansion of (* (* (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in (f) around 0 4.373 * [taylor]: Taking taylor expansion of (* (* (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in f 4.373 * [taylor]: Taking taylor expansion of (* (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) (sqrt 4.0)) in f 4.373 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 4.373 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.373 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.373 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.373 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.373 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.373 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.373 * [taylor]: Taking taylor expansion of -0.25 in f 4.373 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.373 * [taylor]: Taking taylor expansion of PI in f 4.373 * [taylor]: Taking taylor expansion of f in f 4.374 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.374 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.374 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.374 * [taylor]: Taking taylor expansion of -0.25 in f 4.374 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.374 * [taylor]: Taking taylor expansion of PI in f 4.374 * [taylor]: Taking taylor expansion of f in f 4.374 * [taylor]: Taking taylor expansion of 2 in f 4.374 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.374 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.374 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.374 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.374 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.374 * [taylor]: Taking taylor expansion of -0.25 in f 4.374 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.374 * [taylor]: Taking taylor expansion of PI in f 4.374 * [taylor]: Taking taylor expansion of f in f 4.374 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.374 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.374 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.374 * [taylor]: Taking taylor expansion of -0.25 in f 4.374 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.374 * [taylor]: Taking taylor expansion of PI in f 4.374 * [taylor]: Taking taylor expansion of f in f 4.374 * [taylor]: Taking taylor expansion of 2 in f 4.375 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.375 * [taylor]: Taking taylor expansion of 4.0 in f 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.375 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.375 * [taylor]: Taking taylor expansion of PI in f 4.375 * [taylor]: Taking taylor expansion of (* (* (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) (sqrt 4.0)) (sqrt (/ 1 PI))) in f 4.375 * [taylor]: Taking taylor expansion of (* (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) (sqrt 4.0)) in f 4.375 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 4.375 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.375 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.375 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.375 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.375 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.375 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.375 * [taylor]: Taking taylor expansion of -0.25 in f 4.375 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.375 * [taylor]: Taking taylor expansion of PI in f 4.375 * [taylor]: Taking taylor expansion of f in f 4.375 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.375 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.376 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.376 * [taylor]: Taking taylor expansion of -0.25 in f 4.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.376 * [taylor]: Taking taylor expansion of PI in f 4.376 * [taylor]: Taking taylor expansion of f in f 4.376 * [taylor]: Taking taylor expansion of 2 in f 4.376 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.376 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.376 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.376 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.376 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.376 * [taylor]: Taking taylor expansion of -0.25 in f 4.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.376 * [taylor]: Taking taylor expansion of PI in f 4.376 * [taylor]: Taking taylor expansion of f in f 4.376 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.376 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.376 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.376 * [taylor]: Taking taylor expansion of -0.25 in f 4.376 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.376 * [taylor]: Taking taylor expansion of PI in f 4.376 * [taylor]: Taking taylor expansion of f in f 4.376 * [taylor]: Taking taylor expansion of 2 in f 4.377 * [taylor]: Taking taylor expansion of (sqrt 4.0) in f 4.377 * [taylor]: Taking taylor expansion of 4.0 in f 4.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 PI)) in f 4.377 * [taylor]: Taking taylor expansion of (/ 1 PI) in f 4.377 * [taylor]: Taking taylor expansion of PI in f 4.395 * * * [progress]: simplifying candidates 4.396 * [simplify]: Simplifying using # : (- (log (cosh (* PI (/ f 4.0)))) (log (sinh (* PI (/ f 4.0))))) (log (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (exp (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (* (* (cosh (* PI (/ f 4.0))) (cosh (* PI (/ f 4.0)))) (cosh (* PI (/ f 4.0)))) (* (* (sinh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0))))) (* (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))))) (cbrt (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (* (* (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))) (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (sqrt (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0))))) (neg (cosh (* PI (/ f 4.0)))) (neg (sinh (* PI (/ f 4.0)))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (cbrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (* (cbrt (cosh (* PI (/ f 4.0)))) (cbrt (cosh (* PI (/ f 4.0))))) 1) (/ (cbrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0)))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (sqrt (cosh (* PI (/ f 4.0)))) 1) (/ (sqrt (cosh (* PI (/ f 4.0)))) (sinh (* PI (/ f 4.0)))) (/ 1 (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (cosh (* PI (/ f 4.0))) (cbrt (sinh (* PI (/ f 4.0))))) (/ 1 (sqrt (sinh (* PI (/ f 4.0))))) (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* PI (/ f 4.0))))) (/ 1 1) (/ (cosh (* PI (/ f 4.0))) (sinh (* PI (/ f 4.0)))) (/ 1 (sinh (* PI (/ f 4.0)))) (/ (sinh (* PI (/ f 4.0))) (cosh (* PI (/ f 4.0)))) (/ (cosh (* PI (/ f 4.0))) (* (cbrt (sinh (* PI (/ f 4.0)))) (cbrt (sinh (* PI (/ f 4.0)))))) (/ (cosh (* PI (/ f 4.0))) (sqrt (sinh (* PI (/ f 4.0))))) (/ (cosh (* PI (/ f 4.0))) 1) (/ (sinh (* PI (/ f 4.0))) (cbrt (cosh (* PI (/ f 4.0))))) (/ (sinh (* PI (/ f 4.0))) (sqrt (cosh (* PI (/ f 4.0))))) (/ (sinh (* PI (/ f 4.0))) (cosh (* PI (/ f 4.0)))) (/ (cosh (* PI (/ f 4.0))) (- (exp (* PI (/ f 4.0))) (exp (neg (* PI (/ f 4.0)))))) (* (sinh (* PI (/ f 4.0))) 2) (* PI (/ f 4.0)) (+ (log PI) (- (log f) (log 4.0))) (+ (log PI) (log (/ f 4.0))) (log (* PI (/ f 4.0))) (exp (* PI (/ f 4.0))) (* (* (* PI PI) PI) (/ (* (* f f) f) (* (* 4.0 4.0) 4.0))) (* (* (* 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[regime-changes]: Trying 1 branch expressions: (f) 4.766 * * * * [regimes]: Trying to branch on f from (# # # # # # #) 4.821 * * * [regime]: Found split indices: #