0.696 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.466 * * * [progress]: [2/2] Setting up program. 1.472 * [progress]: [Phase 2 of 3] Improving. 1.475 * [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)))))))) 1.919 * * [simplify]: iteration 0 : 5009 enodes (cost 37 ) 1.921 * [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))) 1.927 * * [progress]: iteration 1 / 4 1.928 * * * [progress]: picking best candidate 1.931 * * * * [pick]: Picked # 1.932 * * * [progress]: localizing error 1.950 * * * [progress]: generating rewritten candidates 1.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 1.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 1.988 * * * [progress]: generating series expansions 1.988 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 1.993 * [approximate]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in (f) around 0 1.993 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.993 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.993 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.993 * [taylor]: Taking taylor expansion of 0.25 in f 1.994 * [taylor]: Taking taylor expansion of (* f PI) in f 1.994 * [taylor]: Taking taylor expansion of f in f 1.994 * [taylor]: Taking taylor expansion of PI in f 1.994 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.994 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.994 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.994 * [taylor]: Taking taylor expansion of 0.25 in f 1.994 * [taylor]: Taking taylor expansion of (* f PI) in f 1.994 * [taylor]: Taking taylor expansion of f in f 1.994 * [taylor]: Taking taylor expansion of PI in f 1.994 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 1.994 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 1.994 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.994 * [taylor]: Taking taylor expansion of 0.25 in f 1.994 * [taylor]: Taking taylor expansion of (* f PI) in f 1.994 * [taylor]: Taking taylor expansion of f in f 1.994 * [taylor]: Taking taylor expansion of PI in f 1.994 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 1.994 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 1.994 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 1.995 * [taylor]: Taking taylor expansion of 0.25 in f 1.995 * [taylor]: Taking taylor expansion of (* f PI) in f 1.995 * [taylor]: Taking taylor expansion of f in f 1.995 * [taylor]: Taking taylor expansion of PI in f 2.010 * [approximate]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in (f) around 0 2.010 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.010 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.010 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.010 * [taylor]: Taking taylor expansion of 0.25 in f 2.010 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.010 * [taylor]: Taking taylor expansion of PI in f 2.010 * [taylor]: Taking taylor expansion of f in f 2.011 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.011 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.011 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.011 * [taylor]: Taking taylor expansion of 0.25 in f 2.011 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.011 * [taylor]: Taking taylor expansion of PI in f 2.011 * [taylor]: Taking taylor expansion of f in f 2.011 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.011 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.011 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.011 * [taylor]: Taking taylor expansion of 0.25 in f 2.011 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.011 * [taylor]: Taking taylor expansion of PI in f 2.011 * [taylor]: Taking taylor expansion of f in f 2.011 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.011 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.011 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.011 * [taylor]: Taking taylor expansion of 0.25 in f 2.011 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.011 * [taylor]: Taking taylor expansion of PI in f 2.011 * [taylor]: Taking taylor expansion of f in f 2.012 * [approximate]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in (f) around 0 2.012 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.012 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.012 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.012 * [taylor]: Taking taylor expansion of -0.25 in f 2.012 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.012 * [taylor]: Taking taylor expansion of PI in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.012 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.012 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.012 * [taylor]: Taking taylor expansion of 0.25 in f 2.012 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.012 * [taylor]: Taking taylor expansion of PI in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.012 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.012 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.012 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.012 * [taylor]: Taking taylor expansion of -0.25 in f 2.012 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.012 * [taylor]: Taking taylor expansion of PI in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.012 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.012 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.012 * [taylor]: Taking taylor expansion of 0.25 in f 2.012 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.012 * [taylor]: Taking taylor expansion of PI in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.013 * [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 2.013 * [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 2.013 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 2.013 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.013 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.013 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.013 * [taylor]: Taking taylor expansion of 0.25 in f 2.013 * [taylor]: Taking taylor expansion of (* f PI) in f 2.013 * [taylor]: Taking taylor expansion of f in f 2.013 * [taylor]: Taking taylor expansion of PI in f 2.013 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.014 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.014 * [taylor]: Taking taylor expansion of 0.25 in f 2.014 * [taylor]: Taking taylor expansion of (* f PI) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [taylor]: Taking taylor expansion of PI in f 2.014 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.014 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.014 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.014 * [taylor]: Taking taylor expansion of 0.25 in f 2.014 * [taylor]: Taking taylor expansion of (* f PI) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [taylor]: Taking taylor expansion of PI in f 2.014 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.014 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.014 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.014 * [taylor]: Taking taylor expansion of 0.25 in f 2.014 * [taylor]: Taking taylor expansion of (* f PI) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [taylor]: Taking taylor expansion of PI in f 2.014 * [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 2.014 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 2.014 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.014 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.014 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.014 * [taylor]: Taking taylor expansion of 0.25 in f 2.014 * [taylor]: Taking taylor expansion of (* f PI) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [taylor]: Taking taylor expansion of PI in f 2.015 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.015 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.015 * [taylor]: Taking taylor expansion of 0.25 in f 2.015 * [taylor]: Taking taylor expansion of (* f PI) in f 2.015 * [taylor]: Taking taylor expansion of f in f 2.015 * [taylor]: Taking taylor expansion of PI in f 2.015 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.015 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.015 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.015 * [taylor]: Taking taylor expansion of 0.25 in f 2.015 * [taylor]: Taking taylor expansion of (* f PI) in f 2.015 * [taylor]: Taking taylor expansion of f in f 2.015 * [taylor]: Taking taylor expansion of PI in f 2.015 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.015 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.015 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.015 * [taylor]: Taking taylor expansion of 0.25 in f 2.015 * [taylor]: Taking taylor expansion of (* f PI) in f 2.015 * [taylor]: Taking taylor expansion of f in f 2.015 * [taylor]: Taking taylor expansion of PI in f 2.024 * [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 2.024 * [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 2.024 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.024 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.024 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.024 * [taylor]: Taking taylor expansion of 0.25 in f 2.024 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.024 * [taylor]: Taking taylor expansion of PI in f 2.024 * [taylor]: Taking taylor expansion of f in f 2.024 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.024 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.024 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.024 * [taylor]: Taking taylor expansion of 0.25 in f 2.024 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.024 * [taylor]: Taking taylor expansion of PI in f 2.024 * [taylor]: Taking taylor expansion of f in f 2.025 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.025 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.025 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.025 * [taylor]: Taking taylor expansion of 0.25 in f 2.025 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.025 * [taylor]: Taking taylor expansion of PI in f 2.025 * [taylor]: Taking taylor expansion of f in f 2.025 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.025 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.025 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.025 * [taylor]: Taking taylor expansion of 0.25 in f 2.025 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.025 * [taylor]: Taking taylor expansion of PI in f 2.025 * [taylor]: Taking taylor expansion of f in f 2.025 * [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 2.025 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.025 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.025 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.025 * [taylor]: Taking taylor expansion of 0.25 in f 2.025 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.025 * [taylor]: Taking taylor expansion of PI in f 2.025 * [taylor]: Taking taylor expansion of f in f 2.025 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.025 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.026 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.026 * [taylor]: Taking taylor expansion of 0.25 in f 2.026 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.026 * [taylor]: Taking taylor expansion of PI in f 2.026 * [taylor]: Taking taylor expansion of f in f 2.026 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.026 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.026 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.026 * [taylor]: Taking taylor expansion of 0.25 in f 2.026 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.026 * [taylor]: Taking taylor expansion of PI in f 2.026 * [taylor]: Taking taylor expansion of f in f 2.026 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.026 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.026 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.026 * [taylor]: Taking taylor expansion of 0.25 in f 2.026 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.026 * [taylor]: Taking taylor expansion of PI in f 2.026 * [taylor]: Taking taylor expansion of f in f 2.031 * [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 2.031 * [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 2.031 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.031 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.031 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.031 * [taylor]: Taking taylor expansion of -0.25 in f 2.031 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.031 * [taylor]: Taking taylor expansion of PI in f 2.031 * [taylor]: Taking taylor expansion of f in f 2.031 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.031 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.031 * [taylor]: Taking taylor expansion of 0.25 in f 2.031 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.031 * [taylor]: Taking taylor expansion of PI in f 2.031 * [taylor]: Taking taylor expansion of f in f 2.031 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.031 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.031 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.031 * [taylor]: Taking taylor expansion of -0.25 in f 2.031 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.031 * [taylor]: Taking taylor expansion of PI in f 2.031 * [taylor]: Taking taylor expansion of f in f 2.031 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.031 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.031 * [taylor]: Taking taylor expansion of 0.25 in f 2.031 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.031 * [taylor]: Taking taylor expansion of PI in f 2.031 * [taylor]: Taking taylor expansion of f in f 2.032 * [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 2.032 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.032 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.032 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.032 * [taylor]: Taking taylor expansion of -0.25 in f 2.032 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.032 * [taylor]: Taking taylor expansion of PI in f 2.032 * [taylor]: Taking taylor expansion of f in f 2.032 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.032 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.032 * [taylor]: Taking taylor expansion of 0.25 in f 2.032 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.032 * [taylor]: Taking taylor expansion of PI in f 2.032 * [taylor]: Taking taylor expansion of f in f 2.032 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.032 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.032 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.032 * [taylor]: Taking taylor expansion of -0.25 in f 2.032 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.032 * [taylor]: Taking taylor expansion of PI in f 2.032 * [taylor]: Taking taylor expansion of f in f 2.032 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.032 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.032 * [taylor]: Taking taylor expansion of 0.25 in f 2.032 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.032 * [taylor]: Taking taylor expansion of PI in f 2.032 * [taylor]: Taking taylor expansion of f in f 2.036 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.037 * [approximate]: Taking taylor expansion of (log (/ (+ (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 2.037 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))))) in f 2.037 * [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 2.037 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 2.037 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.037 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.037 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.037 * [taylor]: Taking taylor expansion of 0.25 in f 2.037 * [taylor]: Taking taylor expansion of (* f PI) in f 2.037 * [taylor]: Taking taylor expansion of f in f 2.037 * [taylor]: Taking taylor expansion of PI in f 2.037 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.037 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.037 * [taylor]: Taking taylor expansion of 0.25 in f 2.037 * [taylor]: Taking taylor expansion of (* f PI) in f 2.037 * [taylor]: Taking taylor expansion of f in f 2.037 * [taylor]: Taking taylor expansion of PI in f 2.037 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.037 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.037 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.037 * [taylor]: Taking taylor expansion of 0.25 in f 2.037 * [taylor]: Taking taylor expansion of (* f PI) in f 2.037 * [taylor]: Taking taylor expansion of f in f 2.037 * [taylor]: Taking taylor expansion of PI in f 2.037 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.037 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.037 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.037 * [taylor]: Taking taylor expansion of 0.25 in f 2.037 * [taylor]: Taking taylor expansion of (* f PI) in f 2.037 * [taylor]: Taking taylor expansion of f in f 2.037 * [taylor]: Taking taylor expansion of PI in f 2.038 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))))) in f 2.038 * [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 2.038 * [taylor]: Taking taylor expansion of (+ (exp (neg (* 0.25 (* f PI)))) (exp (* 0.25 (* f PI)))) in f 2.038 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.038 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.038 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.038 * [taylor]: Taking taylor expansion of 0.25 in f 2.038 * [taylor]: Taking taylor expansion of (* f PI) in f 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [taylor]: Taking taylor expansion of PI in f 2.038 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.038 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.038 * [taylor]: Taking taylor expansion of 0.25 in f 2.038 * [taylor]: Taking taylor expansion of (* f PI) in f 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [taylor]: Taking taylor expansion of PI in f 2.038 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.038 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.038 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.038 * [taylor]: Taking taylor expansion of 0.25 in f 2.038 * [taylor]: Taking taylor expansion of (* f PI) in f 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [taylor]: Taking taylor expansion of PI in f 2.038 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.038 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.038 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.038 * [taylor]: Taking taylor expansion of 0.25 in f 2.038 * [taylor]: Taking taylor expansion of (* f PI) in f 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [taylor]: Taking taylor expansion of PI in f 2.050 * [approximate]: Taking taylor expansion of (log (/ (+ (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 2.050 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))))) in f 2.051 * [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 2.051 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.051 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.051 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.051 * [taylor]: Taking taylor expansion of 0.25 in f 2.051 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.051 * [taylor]: Taking taylor expansion of PI in f 2.051 * [taylor]: Taking taylor expansion of f in f 2.051 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.051 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.051 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.051 * [taylor]: Taking taylor expansion of 0.25 in f 2.051 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.051 * [taylor]: Taking taylor expansion of PI in f 2.051 * [taylor]: Taking taylor expansion of f in f 2.051 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.051 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.051 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.051 * [taylor]: Taking taylor expansion of 0.25 in f 2.051 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.051 * [taylor]: Taking taylor expansion of PI in f 2.051 * [taylor]: Taking taylor expansion of f in f 2.051 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.051 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.051 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.051 * [taylor]: Taking taylor expansion of 0.25 in f 2.051 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.051 * [taylor]: Taking taylor expansion of PI in f 2.051 * [taylor]: Taking taylor expansion of f in f 2.052 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))))) in f 2.052 * [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 2.052 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.052 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.052 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.052 * [taylor]: Taking taylor expansion of 0.25 in f 2.052 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.052 * [taylor]: Taking taylor expansion of PI in f 2.052 * [taylor]: Taking taylor expansion of f in f 2.052 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.052 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.052 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.052 * [taylor]: Taking taylor expansion of 0.25 in f 2.052 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.052 * [taylor]: Taking taylor expansion of PI in f 2.052 * [taylor]: Taking taylor expansion of f in f 2.052 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.052 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.052 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.052 * [taylor]: Taking taylor expansion of 0.25 in f 2.052 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.052 * [taylor]: Taking taylor expansion of PI in f 2.052 * [taylor]: Taking taylor expansion of f in f 2.052 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.053 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.053 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.053 * [taylor]: Taking taylor expansion of 0.25 in f 2.053 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.053 * [taylor]: Taking taylor expansion of PI in f 2.053 * [taylor]: Taking taylor expansion of f in f 2.066 * [approximate]: Taking taylor expansion of (log (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))))) in (f) around 0 2.066 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))))) in f 2.066 * [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 2.066 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.066 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.066 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.066 * [taylor]: Taking taylor expansion of -0.25 in f 2.066 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.066 * [taylor]: Taking taylor expansion of PI in f 2.066 * [taylor]: Taking taylor expansion of f in f 2.066 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.066 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.066 * [taylor]: Taking taylor expansion of 0.25 in f 2.066 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.066 * [taylor]: Taking taylor expansion of PI in f 2.066 * [taylor]: Taking taylor expansion of f in f 2.066 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.066 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.067 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.067 * [taylor]: Taking taylor expansion of -0.25 in f 2.067 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.067 * [taylor]: Taking taylor expansion of PI in f 2.067 * [taylor]: Taking taylor expansion of f in f 2.067 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.067 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.067 * [taylor]: Taking taylor expansion of 0.25 in f 2.067 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.067 * [taylor]: Taking taylor expansion of PI in f 2.067 * [taylor]: Taking taylor expansion of f in f 2.067 * [taylor]: Taking taylor expansion of (log (/ (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))))) in f 2.067 * [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 2.067 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.067 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.067 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.067 * [taylor]: Taking taylor expansion of -0.25 in f 2.067 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.067 * [taylor]: Taking taylor expansion of PI in f 2.067 * [taylor]: Taking taylor expansion of f in f 2.067 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.067 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.068 * [taylor]: Taking taylor expansion of 0.25 in f 2.068 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.068 * [taylor]: Taking taylor expansion of PI in f 2.068 * [taylor]: Taking taylor expansion of f in f 2.068 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (* 0.25 (/ PI f)))) in f 2.068 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.068 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.068 * [taylor]: Taking taylor expansion of -0.25 in f 2.068 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.068 * [taylor]: Taking taylor expansion of PI in f 2.068 * [taylor]: Taking taylor expansion of f in f 2.068 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.068 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.068 * [taylor]: Taking taylor expansion of 0.25 in f 2.068 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.068 * [taylor]: Taking taylor expansion of PI in f 2.068 * [taylor]: Taking taylor expansion of f in f 2.079 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) 2.079 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 2.079 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.079 * [taylor]: Taking taylor expansion of 0.25 in f 2.079 * [taylor]: Taking taylor expansion of (* f PI) in f 2.079 * [taylor]: Taking taylor expansion of f in f 2.079 * [taylor]: Taking taylor expansion of PI in f 2.079 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.079 * [taylor]: Taking taylor expansion of 0.25 in f 2.079 * [taylor]: Taking taylor expansion of (* f PI) in f 2.079 * [taylor]: Taking taylor expansion of f in f 2.079 * [taylor]: Taking taylor expansion of PI in f 2.080 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 2.080 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.080 * [taylor]: Taking taylor expansion of 0.25 in f 2.080 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.080 * [taylor]: Taking taylor expansion of PI in f 2.080 * [taylor]: Taking taylor expansion of f in f 2.080 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.081 * [taylor]: Taking taylor expansion of 0.25 in f 2.081 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.081 * [taylor]: Taking taylor expansion of PI in f 2.081 * [taylor]: Taking taylor expansion of f in f 2.081 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 2.081 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.081 * [taylor]: Taking taylor expansion of -0.25 in f 2.081 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.081 * [taylor]: Taking taylor expansion of PI in f 2.081 * [taylor]: Taking taylor expansion of f in f 2.081 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.082 * [taylor]: Taking taylor expansion of -0.25 in f 2.082 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.082 * [taylor]: Taking taylor expansion of PI in f 2.082 * [taylor]: Taking taylor expansion of f in f 2.082 * * * [progress]: simplifying candidates 2.086 * [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 (* (/ 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))))) (* (* (- (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)))))) (* (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)))) (- (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))))) (/ (+ (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)))) (- (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 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (/ 2 (+ (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ (cosh (* (/ PI 4.0) f)) (- (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ 2 1) (/ (cosh (* (/ 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))))) (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) 2) (/ (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (sinh (* (/ 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))))) (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)))))) (/ (* (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (sqrt (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (/ (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (sqrt (- (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)))))) 1) (/ (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))))) (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (+ (sqrt (exp (* (/ PI 4.0) f))) (sqrt (exp (neg (* (/ PI 4.0) f)))))) (/ (cbrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (- (sqrt (exp (* (/ PI 4.0) f))) (sqrt (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)))))) 1) (/ (cbrt (+ (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))))) 2) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (sinh (* (/ PI 4.0) f))) (/ (sqrt (+ (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))))))) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (cbrt (- (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)))))) (/ (sqrt (+ (exp (* (/ PI 4.0) f)) 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-3)))) (log (+ (pow (pow (exp (/ PI 4.0)) f) 2) (+ (pow (pow (exp (/ PI 4.0)) f) -2) 1))) (neg (log (- (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)))) (log (+ (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)))) (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 (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)))))) (/ (+ (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 (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)))))) (cbrt (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))))))) (cbrt (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)))))) (pow (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))))) 3) (sqrt (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)))))) (sqrt (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)))))) (* (/ PI 4.0) f) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (pow (exp (/ PI 4.0)) f) (pow (* (/ PI 4.0) f) 3) (pow (* (/ PI 4.0) f) 3) (* (cbrt (* (/ PI 4.0) f)) (cbrt (* (/ PI 4.0) f))) (cbrt (* (/ PI 4.0) f)) (pow (* (/ PI 4.0) f) 3) (sqrt (* (/ PI 4.0) f)) (sqrt (* (/ PI 4.0) f)) (* (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 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 4.0) f) (* (/ PI 4.0) f) (/ f 4.0) (* PI f) (+ (* (pow PI 3) (* (pow f 3) 0.005208333333333333)) (+ (* 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 3) (* (pow 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 PI) (* (* f f) 0.020833333333333336)) (- (log 4.0) (+ (log (* PI f)) (+ (* 0.0034722222222222225 (* (/ (pow PI 4) 4.0) (/ (pow f 4) 4.0))) (* (pow PI 4) (* (pow f 4) 8.68055555555556e-05)))))) (log (/ (+ (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)))))) (log (/ (+ (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)) 2.174 * * * [progress]: adding candidates to table 2.789 * * [progress]: iteration 2 / 4 2.789 * * * [progress]: picking best candidate 2.830 * * * * [pick]: Picked # 2.831 * * * [progress]: localizing error 2.845 * * * [progress]: generating rewritten candidates 2.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.850 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.867 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1) 2.880 * * * [progress]: generating series expansions 2.881 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.881 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in (f) around 0 2.881 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.881 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.882 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.882 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.882 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.882 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.882 * [taylor]: Taking taylor expansion of 0.25 in f 2.882 * [taylor]: Taking taylor expansion of (* f PI) in f 2.882 * [taylor]: Taking taylor expansion of f in f 2.882 * [taylor]: Taking taylor expansion of PI in f 2.882 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.882 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.882 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.882 * [taylor]: Taking taylor expansion of 0.25 in f 2.882 * [taylor]: Taking taylor expansion of (* f PI) in f 2.882 * [taylor]: Taking taylor expansion of f in f 2.882 * [taylor]: Taking taylor expansion of PI in f 2.883 * [taylor]: Taking taylor expansion of 2 in f 2.883 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.883 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.883 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.883 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.883 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.883 * [taylor]: Taking taylor expansion of 0.25 in f 2.883 * [taylor]: Taking taylor expansion of (* f PI) in f 2.883 * [taylor]: Taking taylor expansion of f in f 2.883 * [taylor]: Taking taylor expansion of PI in f 2.883 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.883 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.883 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.883 * [taylor]: Taking taylor expansion of 0.25 in f 2.883 * [taylor]: Taking taylor expansion of (* f PI) in f 2.883 * [taylor]: Taking taylor expansion of f in f 2.883 * [taylor]: Taking taylor expansion of PI in f 2.883 * [taylor]: Taking taylor expansion of 2 in f 2.883 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.883 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.884 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.884 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.884 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.884 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.884 * [taylor]: Taking taylor expansion of 0.25 in f 2.884 * [taylor]: Taking taylor expansion of (* f PI) in f 2.884 * [taylor]: Taking taylor expansion of f in f 2.884 * [taylor]: Taking taylor expansion of PI in f 2.884 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.884 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.884 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.884 * [taylor]: Taking taylor expansion of 0.25 in f 2.884 * [taylor]: Taking taylor expansion of (* f PI) in f 2.884 * [taylor]: Taking taylor expansion of f in f 2.884 * [taylor]: Taking taylor expansion of PI in f 2.884 * [taylor]: Taking taylor expansion of 2 in f 2.884 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.884 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.884 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.884 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.884 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.884 * [taylor]: Taking taylor expansion of 0.25 in f 2.884 * [taylor]: Taking taylor expansion of (* f PI) in f 2.884 * [taylor]: Taking taylor expansion of f in f 2.884 * [taylor]: Taking taylor expansion of PI in f 2.884 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.884 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.884 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.884 * [taylor]: Taking taylor expansion of 0.25 in f 2.884 * [taylor]: Taking taylor expansion of (* f PI) in f 2.884 * [taylor]: Taking taylor expansion of f in f 2.884 * [taylor]: Taking taylor expansion of PI in f 2.884 * [taylor]: Taking taylor expansion of 2 in f 2.894 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in (f) around 0 2.894 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.894 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.894 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.894 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.894 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.894 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.894 * [taylor]: Taking taylor expansion of 0.25 in f 2.894 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.894 * [taylor]: Taking taylor expansion of PI in f 2.894 * [taylor]: Taking taylor expansion of f in f 2.894 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.894 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.894 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.894 * [taylor]: Taking taylor expansion of 0.25 in f 2.894 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.894 * [taylor]: Taking taylor expansion of PI in f 2.894 * [taylor]: Taking taylor expansion of f in f 2.894 * [taylor]: Taking taylor expansion of 2 in f 2.895 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.895 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.895 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.895 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.895 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.895 * [taylor]: Taking taylor expansion of 0.25 in f 2.895 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.895 * [taylor]: Taking taylor expansion of PI in f 2.895 * [taylor]: Taking taylor expansion of f in f 2.895 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.895 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.895 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.895 * [taylor]: Taking taylor expansion of 0.25 in f 2.895 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.895 * [taylor]: Taking taylor expansion of PI in f 2.895 * [taylor]: Taking taylor expansion of f in f 2.895 * [taylor]: Taking taylor expansion of 2 in f 2.896 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.896 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.896 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.896 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.896 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.896 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.896 * [taylor]: Taking taylor expansion of 0.25 in f 2.896 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.896 * [taylor]: Taking taylor expansion of PI in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.896 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.896 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.896 * [taylor]: Taking taylor expansion of 0.25 in f 2.896 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.896 * [taylor]: Taking taylor expansion of PI in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [taylor]: Taking taylor expansion of 2 in f 2.896 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.896 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.896 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.896 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.896 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.896 * [taylor]: Taking taylor expansion of 0.25 in f 2.896 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.896 * [taylor]: Taking taylor expansion of PI in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.896 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.897 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.897 * [taylor]: Taking taylor expansion of 0.25 in f 2.897 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.897 * [taylor]: Taking taylor expansion of PI in f 2.897 * [taylor]: Taking taylor expansion of f in f 2.897 * [taylor]: Taking taylor expansion of 2 in f 2.903 * [approximate]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in (f) around 0 2.903 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.903 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.903 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.903 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.903 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.903 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.903 * [taylor]: Taking taylor expansion of -0.25 in f 2.903 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.903 * [taylor]: Taking taylor expansion of PI in f 2.903 * [taylor]: Taking taylor expansion of f in f 2.903 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.904 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.904 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.904 * [taylor]: Taking taylor expansion of -0.25 in f 2.904 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.904 * [taylor]: Taking taylor expansion of PI in f 2.904 * [taylor]: Taking taylor expansion of f in f 2.904 * [taylor]: Taking taylor expansion of 2 in f 2.904 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.904 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.904 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.904 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.904 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.904 * [taylor]: Taking taylor expansion of -0.25 in f 2.904 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.904 * [taylor]: Taking taylor expansion of PI in f 2.904 * [taylor]: Taking taylor expansion of f in f 2.904 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.904 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.904 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.904 * [taylor]: Taking taylor expansion of -0.25 in f 2.904 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.904 * [taylor]: Taking taylor expansion of PI in f 2.904 * [taylor]: Taking taylor expansion of f in f 2.904 * [taylor]: Taking taylor expansion of 2 in f 2.905 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.905 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.905 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.905 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.905 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.905 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.905 * [taylor]: Taking taylor expansion of -0.25 in f 2.905 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.905 * [taylor]: Taking taylor expansion of PI in f 2.905 * [taylor]: Taking taylor expansion of f in f 2.905 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.905 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.905 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.905 * [taylor]: Taking taylor expansion of -0.25 in f 2.905 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.905 * [taylor]: Taking taylor expansion of PI in f 2.905 * [taylor]: Taking taylor expansion of f in f 2.905 * [taylor]: Taking taylor expansion of 2 in f 2.905 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.905 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.905 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.905 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.905 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.905 * [taylor]: Taking taylor expansion of -0.25 in f 2.906 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.906 * [taylor]: Taking taylor expansion of PI in f 2.906 * [taylor]: Taking taylor expansion of f in f 2.906 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.906 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.906 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.906 * [taylor]: Taking taylor expansion of -0.25 in f 2.906 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.906 * [taylor]: Taking taylor expansion of PI in f 2.906 * [taylor]: Taking taylor expansion of f in f 2.906 * [taylor]: Taking taylor expansion of 2 in f 2.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.911 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in (f) around 0 2.911 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in f 2.911 * [taylor]: Taking taylor expansion of 4.0 in f 2.912 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI) in f 2.912 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.912 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.912 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.912 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.912 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.912 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.912 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.912 * [taylor]: Taking taylor expansion of 0.25 in f 2.912 * [taylor]: Taking taylor expansion of (* f PI) in f 2.912 * [taylor]: Taking taylor expansion of f in f 2.912 * [taylor]: Taking taylor expansion of PI in f 2.912 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.912 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.912 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.912 * [taylor]: Taking taylor expansion of 0.25 in f 2.912 * [taylor]: Taking taylor expansion of (* f PI) in f 2.912 * [taylor]: Taking taylor expansion of f in f 2.912 * [taylor]: Taking taylor expansion of PI in f 2.912 * [taylor]: Taking taylor expansion of 2 in f 2.912 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.912 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.912 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.912 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.912 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.912 * [taylor]: Taking taylor expansion of 0.25 in f 2.912 * [taylor]: Taking taylor expansion of (* f PI) in f 2.912 * [taylor]: Taking taylor expansion of f in f 2.912 * [taylor]: Taking taylor expansion of PI in f 2.912 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.912 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.912 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.912 * [taylor]: Taking taylor expansion of 0.25 in f 2.912 * [taylor]: Taking taylor expansion of (* f PI) in f 2.912 * [taylor]: Taking taylor expansion of f in f 2.912 * [taylor]: Taking taylor expansion of PI in f 2.913 * [taylor]: Taking taylor expansion of 2 in f 2.913 * [taylor]: Taking taylor expansion of PI in f 2.913 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI)) in f 2.913 * [taylor]: Taking taylor expansion of 4.0 in f 2.913 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) PI) in f 2.913 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.913 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.913 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.913 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.913 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.913 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.913 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.913 * [taylor]: Taking taylor expansion of 0.25 in f 2.913 * [taylor]: Taking taylor expansion of (* f PI) in f 2.913 * [taylor]: Taking taylor expansion of f in f 2.913 * [taylor]: Taking taylor expansion of PI in f 2.913 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.913 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.913 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.913 * [taylor]: Taking taylor expansion of 0.25 in f 2.914 * [taylor]: Taking taylor expansion of (* f PI) in f 2.914 * [taylor]: Taking taylor expansion of f in f 2.914 * [taylor]: Taking taylor expansion of PI in f 2.914 * [taylor]: Taking taylor expansion of 2 in f 2.914 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.914 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.914 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.914 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.914 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.914 * [taylor]: Taking taylor expansion of 0.25 in f 2.914 * [taylor]: Taking taylor expansion of (* f PI) in f 2.914 * [taylor]: Taking taylor expansion of f in f 2.914 * [taylor]: Taking taylor expansion of PI in f 2.914 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.914 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.914 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.914 * [taylor]: Taking taylor expansion of 0.25 in f 2.914 * [taylor]: Taking taylor expansion of (* f PI) in f 2.914 * [taylor]: Taking taylor expansion of f in f 2.914 * [taylor]: Taking taylor expansion of PI in f 2.914 * [taylor]: Taking taylor expansion of 2 in f 2.914 * [taylor]: Taking taylor expansion of PI in f 2.931 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in (f) around 0 2.932 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in f 2.932 * [taylor]: Taking taylor expansion of 4.0 in f 2.932 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI) in f 2.932 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.932 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.932 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.932 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.932 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.932 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.932 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.932 * [taylor]: Taking taylor expansion of 0.25 in f 2.932 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.932 * [taylor]: Taking taylor expansion of PI in f 2.932 * [taylor]: Taking taylor expansion of f in f 2.932 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.932 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.932 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.932 * [taylor]: Taking taylor expansion of 0.25 in f 2.932 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.932 * [taylor]: Taking taylor expansion of PI in f 2.932 * [taylor]: Taking taylor expansion of f in f 2.932 * [taylor]: Taking taylor expansion of 2 in f 2.932 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.932 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.932 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.932 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.932 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.932 * [taylor]: Taking taylor expansion of 0.25 in f 2.933 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.933 * [taylor]: Taking taylor expansion of PI in f 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.933 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.933 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.933 * [taylor]: Taking taylor expansion of 0.25 in f 2.933 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.933 * [taylor]: Taking taylor expansion of PI in f 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [taylor]: Taking taylor expansion of 2 in f 2.933 * [taylor]: Taking taylor expansion of PI in f 2.934 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI)) in f 2.934 * [taylor]: Taking taylor expansion of 4.0 in f 2.934 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) PI) in f 2.934 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.934 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.934 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.934 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.934 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.934 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.934 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.934 * [taylor]: Taking taylor expansion of 0.25 in f 2.934 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.934 * [taylor]: Taking taylor expansion of PI in f 2.934 * [taylor]: Taking taylor expansion of f in f 2.934 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.934 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.934 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.934 * [taylor]: Taking taylor expansion of 0.25 in f 2.934 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.934 * [taylor]: Taking taylor expansion of PI in f 2.934 * [taylor]: Taking taylor expansion of f in f 2.934 * [taylor]: Taking taylor expansion of 2 in f 2.934 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.934 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.934 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.935 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.935 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.935 * [taylor]: Taking taylor expansion of 0.25 in f 2.935 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.935 * [taylor]: Taking taylor expansion of PI in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.935 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.935 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.935 * [taylor]: Taking taylor expansion of 0.25 in f 2.935 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.935 * [taylor]: Taking taylor expansion of PI in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [taylor]: Taking taylor expansion of 2 in f 2.935 * [taylor]: Taking taylor expansion of PI in f 2.953 * [approximate]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in (f) around 0 2.953 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in f 2.953 * [taylor]: Taking taylor expansion of 4.0 in f 2.953 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI) in f 2.953 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 2.953 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.953 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.953 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.953 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.953 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.953 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.953 * [taylor]: Taking taylor expansion of -0.25 in f 2.953 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.954 * [taylor]: Taking taylor expansion of PI in f 2.954 * [taylor]: Taking taylor expansion of f in f 2.954 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.954 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.954 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.954 * [taylor]: Taking taylor expansion of -0.25 in f 2.954 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.954 * [taylor]: Taking taylor expansion of PI in f 2.954 * [taylor]: Taking taylor expansion of f in f 2.954 * [taylor]: Taking taylor expansion of 2 in f 2.954 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.954 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.954 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.954 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.954 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.954 * [taylor]: Taking taylor expansion of -0.25 in f 2.954 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.954 * [taylor]: Taking taylor expansion of PI in f 2.954 * [taylor]: Taking taylor expansion of f in f 2.954 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.954 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.954 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.954 * [taylor]: Taking taylor expansion of -0.25 in f 2.954 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.954 * [taylor]: Taking taylor expansion of PI in f 2.954 * [taylor]: Taking taylor expansion of f in f 2.954 * [taylor]: Taking taylor expansion of 2 in f 2.955 * [taylor]: Taking taylor expansion of PI in f 2.955 * [taylor]: Taking taylor expansion of (* 4.0 (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI)) in f 2.955 * [taylor]: Taking taylor expansion of 4.0 in f 2.955 * [taylor]: Taking taylor expansion of (/ (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) PI) in f 2.955 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 2.955 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 2.955 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 2.955 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.955 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.955 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.955 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.955 * [taylor]: Taking taylor expansion of -0.25 in f 2.955 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.955 * [taylor]: Taking taylor expansion of PI in f 2.955 * [taylor]: Taking taylor expansion of f in f 2.955 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.956 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.956 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.956 * [taylor]: Taking taylor expansion of -0.25 in f 2.956 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.956 * [taylor]: Taking taylor expansion of PI in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [taylor]: Taking taylor expansion of 2 in f 2.956 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 2.956 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 2.956 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 2.956 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 2.956 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.956 * [taylor]: Taking taylor expansion of -0.25 in f 2.956 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.956 * [taylor]: Taking taylor expansion of PI in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 2.956 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 2.956 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 2.956 * [taylor]: Taking taylor expansion of -0.25 in f 2.956 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.956 * [taylor]: Taking taylor expansion of PI in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [taylor]: Taking taylor expansion of 2 in f 2.957 * [taylor]: Taking taylor expansion of PI in f 2.972 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.972 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in (f) around 0 2.972 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.972 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.972 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.972 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.972 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.972 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.972 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.972 * [taylor]: Taking taylor expansion of 0.25 in f 2.972 * [taylor]: Taking taylor expansion of (* f PI) in f 2.972 * [taylor]: Taking taylor expansion of f in f 2.972 * [taylor]: Taking taylor expansion of PI in f 2.973 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.973 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.973 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.973 * [taylor]: Taking taylor expansion of 0.25 in f 2.973 * [taylor]: Taking taylor expansion of (* f PI) in f 2.973 * [taylor]: Taking taylor expansion of f in f 2.973 * [taylor]: Taking taylor expansion of PI in f 2.973 * [taylor]: Taking taylor expansion of 2 in f 2.973 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.973 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.973 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.973 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.973 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.973 * [taylor]: Taking taylor expansion of 0.25 in f 2.973 * [taylor]: Taking taylor expansion of (* f PI) in f 2.973 * [taylor]: Taking taylor expansion of f in f 2.973 * [taylor]: Taking taylor expansion of PI in f 2.973 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.973 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.973 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.973 * [taylor]: Taking taylor expansion of 0.25 in f 2.973 * [taylor]: Taking taylor expansion of (* f PI) in f 2.973 * [taylor]: Taking taylor expansion of f in f 2.973 * [taylor]: Taking taylor expansion of PI in f 2.973 * [taylor]: Taking taylor expansion of 2 in f 2.974 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 2.974 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 2.974 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 2.974 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.974 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.974 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.974 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.974 * [taylor]: Taking taylor expansion of 0.25 in f 2.974 * [taylor]: Taking taylor expansion of (* f PI) in f 2.974 * [taylor]: Taking taylor expansion of f in f 2.974 * [taylor]: Taking taylor expansion of PI in f 2.974 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.974 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.974 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.974 * [taylor]: Taking taylor expansion of 0.25 in f 2.974 * [taylor]: Taking taylor expansion of (* f PI) in f 2.974 * [taylor]: Taking taylor expansion of f in f 2.974 * [taylor]: Taking taylor expansion of PI in f 2.974 * [taylor]: Taking taylor expansion of 2 in f 2.974 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 2.974 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 2.974 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 2.974 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 2.974 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.974 * [taylor]: Taking taylor expansion of 0.25 in f 2.974 * [taylor]: Taking taylor expansion of (* f PI) in f 2.974 * [taylor]: Taking taylor expansion of f in f 2.974 * [taylor]: Taking taylor expansion of PI in f 2.974 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 2.974 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 2.974 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 2.975 * [taylor]: Taking taylor expansion of 0.25 in f 2.975 * [taylor]: Taking taylor expansion of (* f PI) in f 2.975 * [taylor]: Taking taylor expansion of f in f 2.975 * [taylor]: Taking taylor expansion of PI in f 2.975 * [taylor]: Taking taylor expansion of 2 in f 2.986 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in (f) around 0 2.986 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.986 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.986 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.986 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.987 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.987 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.987 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.987 * [taylor]: Taking taylor expansion of 0.25 in f 2.987 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.987 * [taylor]: Taking taylor expansion of PI in f 2.987 * [taylor]: Taking taylor expansion of f in f 2.987 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.987 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.987 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.987 * [taylor]: Taking taylor expansion of 0.25 in f 2.987 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.987 * [taylor]: Taking taylor expansion of PI in f 2.987 * [taylor]: Taking taylor expansion of f in f 2.987 * [taylor]: Taking taylor expansion of 2 in f 2.987 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.987 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.987 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.987 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.987 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.987 * [taylor]: Taking taylor expansion of 0.25 in f 2.987 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.987 * [taylor]: Taking taylor expansion of PI in f 2.987 * [taylor]: Taking taylor expansion of f in f 2.987 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.987 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.987 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.987 * [taylor]: Taking taylor expansion of 0.25 in f 2.987 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.987 * [taylor]: Taking taylor expansion of PI in f 2.987 * [taylor]: Taking taylor expansion of f in f 2.988 * [taylor]: Taking taylor expansion of 2 in f 2.988 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 2.988 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 2.988 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 2.988 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.988 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.988 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.988 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.988 * [taylor]: Taking taylor expansion of 0.25 in f 2.988 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.988 * [taylor]: Taking taylor expansion of PI in f 2.988 * [taylor]: Taking taylor expansion of f in f 2.988 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.988 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.989 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.989 * [taylor]: Taking taylor expansion of 0.25 in f 2.989 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.989 * [taylor]: Taking taylor expansion of PI in f 2.989 * [taylor]: Taking taylor expansion of f in f 2.989 * [taylor]: Taking taylor expansion of 2 in f 2.989 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 2.989 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 2.989 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 2.989 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 2.989 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.989 * [taylor]: Taking taylor expansion of 0.25 in f 2.989 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.989 * [taylor]: Taking taylor expansion of PI in f 2.989 * [taylor]: Taking taylor expansion of f in f 2.989 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 2.989 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 2.989 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 2.989 * [taylor]: Taking taylor expansion of 0.25 in f 2.989 * [taylor]: Taking taylor expansion of (/ PI f) in f 2.989 * [taylor]: Taking taylor expansion of PI in f 2.989 * [taylor]: Taking taylor expansion of f in f 2.989 * [taylor]: Taking taylor expansion of 2 in f 3.006 * [approximate]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in (f) around 0 3.006 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 3.006 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.006 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.006 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.006 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.006 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.006 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.006 * [taylor]: Taking taylor expansion of -0.25 in f 3.006 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.006 * [taylor]: Taking taylor expansion of PI in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.006 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.006 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.006 * [taylor]: Taking taylor expansion of -0.25 in f 3.006 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.006 * [taylor]: Taking taylor expansion of PI in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [taylor]: Taking taylor expansion of 2 in f 3.007 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.007 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.007 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.007 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.007 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.007 * [taylor]: Taking taylor expansion of -0.25 in f 3.007 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.007 * [taylor]: Taking taylor expansion of PI in f 3.007 * [taylor]: Taking taylor expansion of f in f 3.007 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.007 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.007 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.007 * [taylor]: Taking taylor expansion of -0.25 in f 3.007 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.007 * [taylor]: Taking taylor expansion of PI in f 3.007 * [taylor]: Taking taylor expansion of f in f 3.007 * [taylor]: Taking taylor expansion of 2 in f 3.007 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 3.007 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.008 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.008 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.008 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.008 * [taylor]: Taking taylor expansion of -0.25 in f 3.008 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.008 * [taylor]: Taking taylor expansion of PI in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.008 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.008 * [taylor]: Taking taylor expansion of -0.25 in f 3.008 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.008 * [taylor]: Taking taylor expansion of PI in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [taylor]: Taking taylor expansion of 2 in f 3.008 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.008 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.008 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.008 * [taylor]: Taking taylor expansion of -0.25 in f 3.008 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.008 * [taylor]: Taking taylor expansion of PI in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.008 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.008 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.008 * [taylor]: Taking taylor expansion of -0.25 in f 3.008 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.009 * [taylor]: Taking taylor expansion of PI in f 3.009 * [taylor]: Taking taylor expansion of f in f 3.009 * [taylor]: Taking taylor expansion of 2 in f 3.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1) 3.022 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 3.022 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.022 * [taylor]: Taking taylor expansion of 0.25 in f 3.022 * [taylor]: Taking taylor expansion of (* f PI) in f 3.022 * [taylor]: Taking taylor expansion of f in f 3.022 * [taylor]: Taking taylor expansion of PI in f 3.022 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.022 * [taylor]: Taking taylor expansion of 0.25 in f 3.022 * [taylor]: Taking taylor expansion of (* f PI) in f 3.022 * [taylor]: Taking taylor expansion of f in f 3.022 * [taylor]: Taking taylor expansion of PI in f 3.023 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 3.023 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.023 * [taylor]: Taking taylor expansion of 0.25 in f 3.023 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.023 * [taylor]: Taking taylor expansion of PI in f 3.023 * [taylor]: Taking taylor expansion of f in f 3.023 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.023 * [taylor]: Taking taylor expansion of 0.25 in f 3.023 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.023 * [taylor]: Taking taylor expansion of PI in f 3.023 * [taylor]: Taking taylor expansion of f in f 3.024 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 3.024 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.024 * [taylor]: Taking taylor expansion of -0.25 in f 3.024 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.024 * [taylor]: Taking taylor expansion of PI in f 3.024 * [taylor]: Taking taylor expansion of f in f 3.024 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.024 * [taylor]: Taking taylor expansion of -0.25 in f 3.024 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.024 * [taylor]: Taking taylor expansion of PI in f 3.024 * [taylor]: Taking taylor expansion of f in f 3.025 * * * [progress]: simplifying candidates 3.028 * [simplify]: Simplifying using # : (- (log (cosh (* (/ PI 4.0) f))) (log (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (exp (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (/ (* (* (cosh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (cosh (* (/ PI 4.0) f))) (* (* (sinh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (* (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (* (* (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (neg (cosh (* (/ PI 4.0) f))) (neg (sinh (* (/ PI 4.0) f))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) 1) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) 1) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (cbrt (sinh (* (/ PI 4.0) f)))) (/ 1 (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) (/ 1 1) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ 1 (sinh (* (/ PI 4.0) f))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) 1) (/ (sinh (* (/ PI 4.0) f)) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (sqrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (- (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 4.0) f)) (sinh (* (/ PI 4.0) f))))) (+ (- (log 1.0) (- (log PI) (log 4.0))) (log (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (+ (- (log 1.0) (log (/ PI 4.0))) (log (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (+ (log (/ 1.0 (/ PI 4.0))) (log (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (log (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (exp (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (/ (* (* 1.0 1.0) 1.0) (/ (* (* PI PI) PI) (* (* 4.0 4.0) 4.0))) (* (* (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (/ PI 4.0) (/ PI 4.0)) (/ PI 4.0))) (* (* (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (* (* (/ 1.0 (/ PI 4.0)) (/ 1.0 (/ PI 4.0))) (/ 1.0 (/ PI 4.0))) (* (* (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))))) (cbrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (* (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (sqrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (sqrt (* (/ 1.0 (/ PI 4.0)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (sqrt (/ 1.0 (/ PI 4.0))) (sqrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (* (sqrt (/ 1.0 (/ PI 4.0))) (sqrt (log (/ (cosh (* (/ 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4.0) f) 3) (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) (* 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 4.0) f) (* (/ PI 4.0) f) (/ f 4.0) (* PI f) (+ (/ 4.0 (* PI f)) (- (* PI (* f 0.08333333333333334)) (* (pow PI 3) (* (pow f 3) 0.0003472222222222224)))) (/ (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI 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)))) (+ (* 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 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) PI)) (* 4.0 (/ (log (/ (+ (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)) (+ (log (/ 4.0 PI)) (- (* (* PI PI) (* (* f f) 0.020833333333333336)) (+ (log f) (+ (* 0.0034722222222222225 (* (/ (pow f 4) 4.0) (/ (pow PI 4) 4.0))) (* (pow f 4) (* (pow PI 4) 8.68055555555556e-05)))))) (log (/ (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) (log (/ (+ (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)) 3.074 * * * [progress]: adding candidates to table 3.566 * * [progress]: iteration 3 / 4 3.566 * * * [progress]: picking best candidate 3.624 * * * * [pick]: Picked # 3.624 * * * [progress]: localizing error 3.642 * * * [progress]: generating rewritten candidates 3.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 3.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2 1) 3.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) 3.666 * * * [progress]: generating series expansions 3.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 3.666 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in (f) around 0 3.666 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 3.666 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.666 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.666 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.666 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.666 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.666 * [taylor]: Taking taylor expansion of 0.25 in f 3.666 * [taylor]: Taking taylor expansion of (* f PI) in f 3.666 * [taylor]: Taking taylor expansion of f in f 3.666 * [taylor]: Taking taylor expansion of PI in f 3.666 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.666 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.666 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.666 * [taylor]: Taking taylor expansion of 0.25 in f 3.666 * [taylor]: Taking taylor expansion of (* f PI) in f 3.666 * [taylor]: Taking taylor expansion of f in f 3.666 * [taylor]: Taking taylor expansion of PI in f 3.666 * [taylor]: Taking taylor expansion of 2 in f 3.666 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.667 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.667 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.667 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.667 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.667 * [taylor]: Taking taylor expansion of 0.25 in f 3.667 * [taylor]: Taking taylor expansion of (* f PI) in f 3.667 * [taylor]: Taking taylor expansion of f in f 3.667 * [taylor]: Taking taylor expansion of PI in f 3.667 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.667 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.667 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.667 * [taylor]: Taking taylor expansion of 0.25 in f 3.667 * [taylor]: Taking taylor expansion of (* f PI) in f 3.667 * [taylor]: Taking taylor expansion of f in f 3.667 * [taylor]: Taking taylor expansion of PI in f 3.667 * [taylor]: Taking taylor expansion of 2 in f 3.667 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 3.667 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.667 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.667 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.667 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.667 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.667 * [taylor]: Taking taylor expansion of 0.25 in f 3.667 * [taylor]: Taking taylor expansion of (* f PI) in f 3.667 * [taylor]: Taking taylor expansion of f in f 3.667 * [taylor]: Taking taylor expansion of PI in f 3.668 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.668 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.668 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.668 * [taylor]: Taking taylor expansion of 0.25 in f 3.668 * [taylor]: Taking taylor expansion of (* f PI) in f 3.668 * [taylor]: Taking taylor expansion of f in f 3.668 * [taylor]: Taking taylor expansion of PI in f 3.668 * [taylor]: Taking taylor expansion of 2 in f 3.668 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.668 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.668 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.668 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.668 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.668 * [taylor]: Taking taylor expansion of 0.25 in f 3.668 * [taylor]: Taking taylor expansion of (* f PI) in f 3.668 * [taylor]: Taking taylor expansion of f in f 3.668 * [taylor]: Taking taylor expansion of PI in f 3.668 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.668 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.668 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.668 * [taylor]: Taking taylor expansion of 0.25 in f 3.668 * [taylor]: Taking taylor expansion of (* f PI) in f 3.668 * [taylor]: Taking taylor expansion of f in f 3.668 * [taylor]: Taking taylor expansion of PI in f 3.668 * [taylor]: Taking taylor expansion of 2 in f 3.678 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in (f) around 0 3.678 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 3.678 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.678 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.678 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.678 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.678 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.678 * [taylor]: Taking taylor expansion of 0.25 in f 3.678 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.678 * [taylor]: Taking taylor expansion of PI in f 3.678 * [taylor]: Taking taylor expansion of f in f 3.678 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.678 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.678 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.678 * [taylor]: Taking taylor expansion of 0.25 in f 3.678 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.678 * [taylor]: Taking taylor expansion of PI in f 3.678 * [taylor]: Taking taylor expansion of f in f 3.678 * [taylor]: Taking taylor expansion of 2 in f 3.678 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.679 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.679 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.679 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.679 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.679 * [taylor]: Taking taylor expansion of 0.25 in f 3.679 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.679 * [taylor]: Taking taylor expansion of PI in f 3.679 * [taylor]: Taking taylor expansion of f in f 3.679 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.679 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.679 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.679 * [taylor]: Taking taylor expansion of 0.25 in f 3.679 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.679 * [taylor]: Taking taylor expansion of PI in f 3.679 * [taylor]: Taking taylor expansion of f in f 3.679 * [taylor]: Taking taylor expansion of 2 in f 3.679 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 3.679 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.679 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.680 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.680 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.680 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.680 * [taylor]: Taking taylor expansion of 0.25 in f 3.680 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.680 * [taylor]: Taking taylor expansion of PI in f 3.680 * [taylor]: Taking taylor expansion of f in f 3.680 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.680 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.680 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.680 * [taylor]: Taking taylor expansion of 0.25 in f 3.680 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.680 * [taylor]: Taking taylor expansion of PI in f 3.680 * [taylor]: Taking taylor expansion of f in f 3.680 * [taylor]: Taking taylor expansion of 2 in f 3.680 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.680 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.680 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.680 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.680 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.680 * [taylor]: Taking taylor expansion of 0.25 in f 3.680 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.680 * [taylor]: Taking taylor expansion of PI in f 3.680 * [taylor]: Taking taylor expansion of f in f 3.680 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.680 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.680 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.680 * [taylor]: Taking taylor expansion of 0.25 in f 3.680 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.680 * [taylor]: Taking taylor expansion of PI in f 3.680 * [taylor]: Taking taylor expansion of f in f 3.681 * [taylor]: Taking taylor expansion of 2 in f 3.687 * [approximate]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in (f) around 0 3.687 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.687 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.687 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.687 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.687 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.687 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.687 * [taylor]: Taking taylor expansion of -0.25 in f 3.687 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.687 * [taylor]: Taking taylor expansion of PI in f 3.687 * [taylor]: Taking taylor expansion of f in f 3.687 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.687 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.687 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.687 * [taylor]: Taking taylor expansion of -0.25 in f 3.687 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.687 * [taylor]: Taking taylor expansion of PI in f 3.687 * [taylor]: Taking taylor expansion of f in f 3.688 * [taylor]: Taking taylor expansion of 2 in f 3.688 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.688 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.688 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.688 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.688 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.688 * [taylor]: Taking taylor expansion of -0.25 in f 3.688 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.688 * [taylor]: Taking taylor expansion of PI in f 3.688 * [taylor]: Taking taylor expansion of f in f 3.688 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.688 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.688 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.688 * [taylor]: Taking taylor expansion of -0.25 in f 3.688 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.688 * [taylor]: Taking taylor expansion of PI in f 3.688 * [taylor]: Taking taylor expansion of f in f 3.688 * [taylor]: Taking taylor expansion of 2 in f 3.689 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.689 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.689 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.689 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.689 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.689 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.689 * [taylor]: Taking taylor expansion of -0.25 in f 3.689 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.689 * [taylor]: Taking taylor expansion of PI in f 3.689 * [taylor]: Taking taylor expansion of f in f 3.689 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.689 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.689 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.689 * [taylor]: Taking taylor expansion of -0.25 in f 3.689 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.689 * [taylor]: Taking taylor expansion of PI in f 3.689 * [taylor]: Taking taylor expansion of f in f 3.689 * [taylor]: Taking taylor expansion of 2 in f 3.689 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.689 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.689 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.689 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.689 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.689 * [taylor]: Taking taylor expansion of -0.25 in f 3.689 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.689 * [taylor]: Taking taylor expansion of PI in f 3.689 * [taylor]: Taking taylor expansion of f in f 3.689 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.689 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.690 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.690 * [taylor]: Taking taylor expansion of -0.25 in f 3.690 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.690 * [taylor]: Taking taylor expansion of PI in f 3.690 * [taylor]: Taking taylor expansion of f in f 3.690 * [taylor]: Taking taylor expansion of 2 in f 3.695 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.695 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in (f) around 0 3.695 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 3.695 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 3.695 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.695 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.695 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.695 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.695 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.695 * [taylor]: Taking taylor expansion of 0.25 in f 3.696 * [taylor]: Taking taylor expansion of (* f PI) in f 3.696 * [taylor]: Taking taylor expansion of f in f 3.696 * [taylor]: Taking taylor expansion of PI in f 3.696 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.696 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.696 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.696 * [taylor]: Taking taylor expansion of 0.25 in f 3.696 * [taylor]: Taking taylor expansion of (* f PI) in f 3.696 * [taylor]: Taking taylor expansion of f in f 3.696 * [taylor]: Taking taylor expansion of PI in f 3.696 * [taylor]: Taking taylor expansion of 2 in f 3.696 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.696 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.696 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.696 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.696 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.696 * [taylor]: Taking taylor expansion of 0.25 in f 3.696 * [taylor]: Taking taylor expansion of (* f PI) in f 3.696 * [taylor]: Taking taylor expansion of f in f 3.696 * [taylor]: Taking taylor expansion of PI in f 3.696 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.696 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.696 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.696 * [taylor]: Taking taylor expansion of 0.25 in f 3.696 * [taylor]: Taking taylor expansion of (* f PI) in f 3.696 * [taylor]: Taking taylor expansion of f in f 3.696 * [taylor]: Taking taylor expansion of PI in f 3.696 * [taylor]: Taking taylor expansion of 2 in f 3.699 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 3.699 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 3.699 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 3.699 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.699 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.699 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.699 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.699 * [taylor]: Taking taylor expansion of 0.25 in f 3.699 * [taylor]: Taking taylor expansion of (* f PI) in f 3.699 * [taylor]: Taking taylor expansion of f in f 3.699 * [taylor]: Taking taylor expansion of PI in f 3.699 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.699 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.699 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.699 * [taylor]: Taking taylor expansion of 0.25 in f 3.699 * [taylor]: Taking taylor expansion of (* f PI) in f 3.699 * [taylor]: Taking taylor expansion of f in f 3.699 * [taylor]: Taking taylor expansion of PI in f 3.699 * [taylor]: Taking taylor expansion of 2 in f 3.700 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 3.700 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 3.700 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 3.700 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 3.700 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.700 * [taylor]: Taking taylor expansion of 0.25 in f 3.700 * [taylor]: Taking taylor expansion of (* f PI) in f 3.700 * [taylor]: Taking taylor expansion of f in f 3.700 * [taylor]: Taking taylor expansion of PI in f 3.700 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 3.700 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 3.700 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.700 * [taylor]: Taking taylor expansion of 0.25 in f 3.700 * [taylor]: Taking taylor expansion of (* f PI) in f 3.700 * [taylor]: Taking taylor expansion of f in f 3.700 * [taylor]: Taking taylor expansion of PI in f 3.700 * [taylor]: Taking taylor expansion of 2 in f 3.711 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in (f) around 0 3.711 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 3.711 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 3.711 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.711 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.712 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.712 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.712 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.712 * [taylor]: Taking taylor expansion of 0.25 in f 3.712 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.712 * [taylor]: Taking taylor expansion of PI in f 3.712 * [taylor]: Taking taylor expansion of f in f 3.712 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.712 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.712 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.712 * [taylor]: Taking taylor expansion of 0.25 in f 3.712 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.712 * [taylor]: Taking taylor expansion of PI in f 3.712 * [taylor]: Taking taylor expansion of f in f 3.712 * [taylor]: Taking taylor expansion of 2 in f 3.712 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.712 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.712 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.712 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.712 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.712 * [taylor]: Taking taylor expansion of 0.25 in f 3.712 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.712 * [taylor]: Taking taylor expansion of PI in f 3.712 * [taylor]: Taking taylor expansion of f in f 3.712 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.712 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.712 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.712 * [taylor]: Taking taylor expansion of 0.25 in f 3.712 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.712 * [taylor]: Taking taylor expansion of PI in f 3.712 * [taylor]: Taking taylor expansion of f in f 3.713 * [taylor]: Taking taylor expansion of 2 in f 3.713 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 3.713 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 3.713 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 3.713 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.713 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.713 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.713 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.713 * [taylor]: Taking taylor expansion of 0.25 in f 3.713 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.713 * [taylor]: Taking taylor expansion of PI in f 3.713 * [taylor]: Taking taylor expansion of f in f 3.713 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.714 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.714 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.714 * [taylor]: Taking taylor expansion of 0.25 in f 3.714 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.714 * [taylor]: Taking taylor expansion of PI in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [taylor]: Taking taylor expansion of 2 in f 3.714 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 3.714 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 3.714 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 3.714 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 3.714 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.714 * [taylor]: Taking taylor expansion of 0.25 in f 3.714 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.714 * [taylor]: Taking taylor expansion of PI in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 3.714 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 3.714 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.714 * [taylor]: Taking taylor expansion of 0.25 in f 3.714 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.714 * [taylor]: Taking taylor expansion of PI in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.715 * [taylor]: Taking taylor expansion of 2 in f 3.729 * [approximate]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in (f) around 0 3.729 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 3.729 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.729 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.730 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.730 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.730 * [taylor]: Taking taylor expansion of -0.25 in f 3.730 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.730 * [taylor]: Taking taylor expansion of PI in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.730 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.730 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.730 * [taylor]: Taking taylor expansion of -0.25 in f 3.730 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.730 * [taylor]: Taking taylor expansion of PI in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.730 * [taylor]: Taking taylor expansion of 2 in f 3.730 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.730 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.730 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.730 * [taylor]: Taking taylor expansion of -0.25 in f 3.730 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.730 * [taylor]: Taking taylor expansion of PI in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.730 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.730 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.730 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.730 * [taylor]: Taking taylor expansion of -0.25 in f 3.730 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.730 * [taylor]: Taking taylor expansion of PI in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.731 * [taylor]: Taking taylor expansion of 2 in f 3.731 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 3.731 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 3.731 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 3.731 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.731 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.731 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.731 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.731 * [taylor]: Taking taylor expansion of -0.25 in f 3.731 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.731 * [taylor]: Taking taylor expansion of PI in f 3.731 * [taylor]: Taking taylor expansion of f in f 3.731 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.731 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.731 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.731 * [taylor]: Taking taylor expansion of -0.25 in f 3.731 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.731 * [taylor]: Taking taylor expansion of PI in f 3.731 * [taylor]: Taking taylor expansion of f in f 3.732 * [taylor]: Taking taylor expansion of 2 in f 3.732 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 3.732 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 3.732 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 3.732 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 3.732 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.732 * [taylor]: Taking taylor expansion of -0.25 in f 3.732 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.732 * [taylor]: Taking taylor expansion of PI in f 3.732 * [taylor]: Taking taylor expansion of f in f 3.732 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 3.732 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 3.732 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.732 * [taylor]: Taking taylor expansion of -0.25 in f 3.732 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.732 * [taylor]: Taking taylor expansion of PI in f 3.732 * [taylor]: Taking taylor expansion of f in f 3.732 * [taylor]: Taking taylor expansion of 2 in f 3.745 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2 1) 3.745 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 3.745 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.745 * [taylor]: Taking taylor expansion of 0.25 in f 3.745 * [taylor]: Taking taylor expansion of (* f PI) in f 3.745 * [taylor]: Taking taylor expansion of f in f 3.745 * [taylor]: Taking taylor expansion of PI in f 3.745 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.745 * [taylor]: Taking taylor expansion of 0.25 in f 3.746 * [taylor]: Taking taylor expansion of (* f PI) in f 3.746 * [taylor]: Taking taylor expansion of f in f 3.746 * [taylor]: Taking taylor expansion of PI in f 3.746 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 3.746 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.746 * [taylor]: Taking taylor expansion of 0.25 in f 3.746 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.746 * [taylor]: Taking taylor expansion of PI in f 3.746 * [taylor]: Taking taylor expansion of f in f 3.747 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.747 * [taylor]: Taking taylor expansion of 0.25 in f 3.747 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.747 * [taylor]: Taking taylor expansion of PI in f 3.747 * [taylor]: Taking taylor expansion of f in f 3.747 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 3.747 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.747 * [taylor]: Taking taylor expansion of -0.25 in f 3.747 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.747 * [taylor]: Taking taylor expansion of PI in f 3.747 * [taylor]: Taking taylor expansion of f in f 3.748 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.748 * [taylor]: Taking taylor expansion of -0.25 in f 3.748 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.748 * [taylor]: Taking taylor expansion of PI in f 3.748 * [taylor]: Taking taylor expansion of f in f 3.748 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) 3.748 * [approximate]: Taking taylor expansion of (* 0.25 (* f PI)) in (f) around 0 3.748 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.748 * [taylor]: Taking taylor expansion of 0.25 in f 3.748 * [taylor]: Taking taylor expansion of (* f PI) in f 3.749 * [taylor]: Taking taylor expansion of f in f 3.749 * [taylor]: Taking taylor expansion of PI in f 3.749 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 3.749 * [taylor]: Taking taylor expansion of 0.25 in f 3.749 * [taylor]: Taking taylor expansion of (* f PI) in f 3.749 * [taylor]: Taking taylor expansion of f in f 3.749 * [taylor]: Taking taylor expansion of PI in f 3.749 * [approximate]: Taking taylor expansion of (* 0.25 (/ PI f)) in (f) around 0 3.749 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.749 * [taylor]: Taking taylor expansion of 0.25 in f 3.749 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.749 * [taylor]: Taking taylor expansion of PI in f 3.749 * [taylor]: Taking taylor expansion of f in f 3.750 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 3.750 * [taylor]: Taking taylor expansion of 0.25 in f 3.750 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.750 * [taylor]: Taking taylor expansion of PI in f 3.750 * [taylor]: Taking taylor expansion of f in f 3.750 * [approximate]: Taking taylor expansion of (* -0.25 (/ PI f)) in (f) around 0 3.750 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.750 * [taylor]: Taking taylor expansion of -0.25 in f 3.750 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.750 * [taylor]: Taking taylor expansion of PI in f 3.750 * [taylor]: Taking taylor expansion of f in f 3.751 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 3.751 * [taylor]: Taking taylor expansion of -0.25 in f 3.751 * [taylor]: Taking taylor expansion of (/ PI f) in f 3.751 * [taylor]: Taking taylor expansion of PI in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * * * [progress]: simplifying candidates 3.753 * [simplify]: Simplifying using # : (- (log (cosh (* (/ PI 4.0) f))) (log (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (exp (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (/ (* (* (cosh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (cosh (* (/ PI 4.0) f))) (* (* (sinh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (* (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (* (* (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (neg (cosh (* (/ PI 4.0) f))) (neg (sinh (* (/ PI 4.0) f))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) 1) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) 1) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (cbrt (sinh (* (/ PI 4.0) f)))) (/ 1 (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) (/ 1 1) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ 1 (sinh (* (/ PI 4.0) f))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) 1) (/ (sinh (* (/ PI 4.0) f)) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (sqrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f))))) (* (sinh (* (/ PI 4.0) f)) 2) (log (* (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (log (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (log (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) 1)) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) 1)) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (log (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (cosh (* (/ PI 4.0) f)) (cbrt (sinh (* (/ PI 4.0) f))))) (log (/ 1 (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ 1 1)) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log 1) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (cosh (* (/ PI 4.0) f))) (log (/ 1 (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (- (exp (* (/ PI 4.0) f)) (exp (neg (* (/ PI 4.0) f)))))) (log 2) (log (cosh (* (/ PI 4.0) f))) (log (sinh (* (/ PI 4.0) f))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (exp (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (* (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (* (* (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (sqrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (sqrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) 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) (* (/ 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) (- (+ (* 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))))) (- (+ (* 0.020833333333333336 (* (pow f 2) (pow PI 2))) (log (/ 4.0 PI))) (+ (log f) (+ (* 0.0034722222222222225 (/ (* (pow PI 4) (pow f 4)) (pow 4.0 2))) (* 8.68055555555556e-05 (* (pow PI 4) (pow f 4)))))) (log (/ (+ (exp (neg (* 0.25 (* PI f)))) (exp (* 0.25 (* PI f)))) (- (exp (* 0.25 (* PI f))) (exp (neg (* 0.25 (* PI f))))))) (log (/ (+ (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)) 3.802 * * [simplify]: iteration 0 : 5020 enodes (cost 1699 ) 3.808 * [simplify]: Simplified to: (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (exp (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (pow (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) 3) (* (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (pow (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) 3) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (neg (cosh (* (/ PI 4.0) f))) (neg (sinh (* (/ PI 4.0) f))) (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (* (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (sqrt (cosh (* (/ PI 4.0) f))) (/ (sqrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f))) (/ 1 (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (cbrt (sinh (* (/ PI 4.0) f)))) (/ 1 (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) 1 (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (/ 1 (sinh (* (/ PI 4.0) f))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (* (cbrt (sinh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f)))) (cosh (* (/ PI 4.0) f)) (/ (sinh (* (/ PI 4.0) f)) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (sqrt (cosh (* (/ PI 4.0) f)))) (/ (sinh (* (/ PI 4.0) f)) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f)))) (* (sinh (* (/ PI 4.0) f)) 2) (* 2 (log (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (log (cbrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (log (sqrt (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (* 2 (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (- (* 2 (log (cbrt (cosh (* (/ PI 4.0) f))))) (log (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (* 2 (log (cbrt (cosh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (- (log (sqrt (cosh (* (/ PI 4.0) f)))) (* 2 (log (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (cbrt (sinh (* (/ PI 4.0) f))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (sqrt (cosh (* (/ PI 4.0) f)))) (log (/ (sqrt (cosh (* (/ PI 4.0) f))) (sinh (* (/ PI 4.0) f)))) (neg (* 2 (log (cbrt (sinh (* (/ PI 4.0) f)))))) (log (/ (cosh (* (/ PI 4.0) f)) (cbrt (sinh (* (/ PI 4.0) f))))) (neg (log (sqrt (sinh (* (/ PI 4.0) f))))) (log (/ (cosh (* (/ PI 4.0) f)) (sqrt (sinh (* (/ PI 4.0) f))))) (log 1) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log 1) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (cosh (* (/ PI 4.0) f))) (neg (log (sinh (* (/ PI 4.0) f)))) (log (/ (cosh (* (/ PI 4.0) f)) (- (pow (exp (/ PI 4.0)) f) (pow (exp (/ PI 4.0)) (neg f))))) (log 2) (log (cosh (* (/ PI 4.0) f))) (log (sinh (* (/ PI 4.0) f))) (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) (log (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))) (* (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))))) (cbrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (pow (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f)))) 3) (sqrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (sqrt (log (/ (cosh (* (/ PI 4.0) f)) (sinh (* (/ PI 4.0) f))))) (* (/ PI 4.0) f) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (pow (exp (/ PI 4.0)) f) (pow (* (/ PI 4.0) f) 3) (pow (* (/ PI 4.0) f) 3) (* (cbrt (* (/ PI 4.0) f)) (cbrt (* (/ PI 4.0) f))) (cbrt (* (/ PI 4.0) f)) (pow (* (/ PI 4.0) f) 3) (sqrt (* (/ PI 4.0) f)) (sqrt (* (/ PI 4.0) f)) (* (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 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 4.0) f) (* (/ PI 4.0) f) (/ f 4.0) (* PI f) (* (/ PI 4.0) f) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (log (* (/ PI 4.0) f)) (pow (exp (/ PI 4.0)) f) (pow (* (/ PI 4.0) f) 3) (pow (* (/ PI 4.0) f) 3) (* (cbrt (* (/ PI 4.0) f)) (cbrt (* (/ PI 4.0) f))) (cbrt (* (/ PI 4.0) f)) (pow (* (/ PI 4.0) f) 3) (sqrt (* (/ PI 4.0) f)) (sqrt (* (/ PI 4.0) f)) (* (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 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 4.0) f) (* (/ PI 4.0) f) (/ f 4.0) (* PI f) (+ (/ 4.0 (* PI f)) (- (* PI (* f 0.08333333333333334)) (* (pow PI 3) (* (pow f 3) 0.0003472222222222224)))) (/ (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI 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 (* PI (* f (* f 0.020833333333333336)))) (- (log 4.0) (+ (log (* PI f)) (+ (* 0.0034722222222222225 (* (/ (pow PI 4) 4.0) (/ (pow f 4) 4.0))) (* (pow PI 4) (* 8.68055555555556e-05 (pow f 4))))))) (log (/ (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) (log (/ (+ (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)) 3.808 * * * [progress]: adding candidates to table 4.150 * * [progress]: iteration 4 / 4 4.150 * * * [progress]: picking best candidate 4.212 * * * * [pick]: Picked # 4.212 * * * [progress]: localizing error 4.238 * * * [progress]: generating rewritten candidates 4.238 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 4.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 4.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 4.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.296 * * * [progress]: generating series expansions 4.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 4.296 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in (f) around 0 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) 4.296 * [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 4.297 * [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 4.298 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.298 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.298 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.298 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.298 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.298 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.298 * [taylor]: Taking taylor expansion of 0.25 in f 4.298 * [taylor]: Taking taylor expansion of (* f PI) in f 4.298 * [taylor]: Taking taylor expansion of f in f 4.298 * [taylor]: Taking taylor expansion of PI in f 4.298 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.298 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.298 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.298 * [taylor]: Taking taylor expansion of 0.25 in f 4.298 * [taylor]: Taking taylor expansion of (* f PI) in f 4.298 * [taylor]: Taking taylor expansion of f in f 4.298 * [taylor]: Taking taylor expansion of PI in f 4.298 * [taylor]: Taking taylor expansion of 2 in f 4.298 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.298 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.298 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.298 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.298 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.298 * [taylor]: Taking taylor expansion of 0.25 in f 4.298 * [taylor]: Taking taylor expansion of (* f PI) in f 4.298 * [taylor]: Taking taylor expansion of f in f 4.298 * [taylor]: Taking taylor expansion of PI in f 4.298 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.298 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.298 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.298 * [taylor]: Taking taylor expansion of 0.25 in f 4.298 * [taylor]: Taking taylor expansion of (* f PI) in f 4.299 * [taylor]: Taking taylor expansion of f in f 4.299 * [taylor]: Taking taylor expansion of PI in f 4.299 * [taylor]: Taking taylor expansion of 2 in f 4.308 * [approximate]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in (f) around 0 4.309 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.309 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.309 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.309 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.309 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.309 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.309 * [taylor]: Taking taylor expansion of 0.25 in f 4.309 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.309 * [taylor]: Taking taylor expansion of PI in f 4.309 * [taylor]: Taking taylor expansion of f in f 4.309 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.309 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.309 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.309 * [taylor]: Taking taylor expansion of 0.25 in f 4.309 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.309 * [taylor]: Taking taylor expansion of PI in f 4.309 * [taylor]: Taking taylor expansion of f in f 4.309 * [taylor]: Taking taylor expansion of 2 in f 4.309 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.309 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.309 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.309 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.309 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.309 * [taylor]: Taking taylor expansion of 0.25 in f 4.309 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.309 * [taylor]: Taking taylor expansion of PI in f 4.309 * [taylor]: Taking taylor expansion of f in f 4.309 * [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 4.310 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.310 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.310 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.310 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.310 * [taylor]: Taking taylor expansion of (exp (* 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 (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 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of (sinh (* 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 4.318 * [approximate]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in (f) around 0 4.318 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.318 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.318 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.318 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.318 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.318 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.318 * [taylor]: Taking taylor expansion of -0.25 in f 4.318 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.318 * [taylor]: Taking taylor expansion of PI in f 4.318 * [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 4.319 * [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 4.320 * [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 4.320 * [taylor]: Taking taylor expansion of 2 in f 4.320 * [taylor]: Taking taylor expansion of (sinh (* -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 4.321 * [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) 4.327 * [approximate]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in (f) around 0 4.327 * [taylor]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in f 4.327 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (* f PI))) 1/3) in f 4.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (* f PI)))))) in f 4.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (* f PI))))) in f 4.327 * [taylor]: Taking taylor expansion of 1/3 in f 4.327 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (* f PI)))) in f 4.327 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.327 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.327 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.327 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f 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 4.327 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.327 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f 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 4.327 * [taylor]: Taking taylor expansion of 2 in f 4.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (* f PI))))) in f 4.327 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 4.327 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.328 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.328 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.328 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.328 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.328 * [taylor]: Taking taylor expansion of 0.25 in f 4.328 * [taylor]: Taking taylor expansion of (* f PI) in f 4.328 * [taylor]: Taking taylor expansion of f in f 4.328 * [taylor]: Taking taylor expansion of PI in f 4.328 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.328 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.328 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.328 * [taylor]: Taking taylor expansion of 0.25 in f 4.328 * [taylor]: Taking taylor expansion of (* f PI) in f 4.328 * [taylor]: Taking taylor expansion of f in f 4.328 * [taylor]: Taking taylor expansion of PI in f 4.328 * [taylor]: Taking taylor expansion of 2 in f 4.329 * [taylor]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in f 4.329 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (* f PI))) 1/3) in f 4.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (* f PI)))))) in f 4.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (* f PI))))) in f 4.329 * [taylor]: Taking taylor expansion of 1/3 in f 4.329 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (* f PI)))) in f 4.329 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.329 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.329 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.329 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.329 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.329 * [taylor]: Taking taylor expansion of 0.25 in f 4.329 * [taylor]: Taking taylor expansion of (* f PI) in f 4.329 * [taylor]: Taking taylor expansion of f in f 4.329 * [taylor]: Taking taylor expansion of PI in f 4.329 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.329 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.329 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.329 * [taylor]: Taking taylor expansion of 0.25 in f 4.329 * [taylor]: Taking taylor expansion of (* f PI) in f 4.329 * [taylor]: Taking taylor expansion of f in f 4.329 * [taylor]: Taking taylor expansion of PI in f 4.329 * [taylor]: Taking taylor expansion of 2 in f 4.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (* f PI))))) in f 4.329 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 4.329 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.329 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.329 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.329 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.329 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.329 * [taylor]: Taking taylor expansion of 0.25 in f 4.329 * [taylor]: Taking taylor expansion of (* f PI) in f 4.329 * [taylor]: Taking taylor expansion of f in f 4.329 * [taylor]: Taking taylor expansion of PI in f 4.330 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.330 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f 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 4.330 * [taylor]: Taking taylor expansion of 2 in f 4.338 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in (f) around 0 4.338 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in f 4.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) in f 4.338 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 4.338 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.338 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.338 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.338 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.338 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.338 * [taylor]: Taking taylor expansion of 0.25 in f 4.338 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.338 * [taylor]: Taking taylor expansion of PI in f 4.338 * [taylor]: Taking taylor expansion of f in f 4.338 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.338 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.338 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.338 * [taylor]: Taking taylor expansion of 0.25 in f 4.338 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.338 * [taylor]: Taking taylor expansion of PI in f 4.338 * [taylor]: Taking taylor expansion of f in f 4.338 * [taylor]: Taking taylor expansion of 2 in f 4.339 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (/ PI f))) 1/3) in f 4.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (/ PI f)))))) in f 4.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (/ PI f))))) in f 4.339 * [taylor]: Taking taylor expansion of 1/3 in f 4.339 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (/ PI f)))) in f 4.339 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.339 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.339 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.339 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.339 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.339 * [taylor]: Taking taylor expansion of 0.25 in f 4.339 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.339 * [taylor]: Taking taylor expansion of PI in f 4.339 * [taylor]: Taking taylor expansion of f in f 4.339 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.339 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.339 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.339 * [taylor]: Taking taylor expansion of 0.25 in f 4.340 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.340 * [taylor]: Taking taylor expansion of PI in f 4.340 * [taylor]: Taking taylor expansion of f in f 4.340 * [taylor]: Taking taylor expansion of 2 in f 4.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in f 4.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) in f 4.340 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 4.340 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.340 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.340 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.340 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.340 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.340 * [taylor]: Taking taylor expansion of 0.25 in f 4.340 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.340 * [taylor]: Taking taylor expansion of PI in f 4.340 * [taylor]: Taking taylor expansion of f in f 4.340 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.340 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.341 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.341 * [taylor]: Taking taylor expansion of 0.25 in f 4.341 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.341 * [taylor]: Taking taylor expansion of PI in f 4.341 * [taylor]: Taking taylor expansion of f in f 4.341 * [taylor]: Taking taylor expansion of 2 in f 4.342 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (/ PI f))) 1/3) in f 4.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (/ PI f)))))) in f 4.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (/ PI f))))) in f 4.342 * [taylor]: Taking taylor expansion of 1/3 in f 4.342 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (/ PI f)))) in f 4.342 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.342 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.342 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.342 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.342 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.342 * [taylor]: Taking taylor expansion of 0.25 in f 4.342 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.342 * [taylor]: Taking taylor expansion of PI in f 4.342 * [taylor]: Taking taylor expansion of f in f 4.342 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.342 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.342 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.342 * [taylor]: Taking taylor expansion of 0.25 in f 4.342 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.342 * [taylor]: Taking taylor expansion of PI in f 4.342 * [taylor]: Taking taylor expansion of f in f 4.342 * [taylor]: Taking taylor expansion of 2 in f 4.360 * [approximate]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in (f) around 0 4.360 * [taylor]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 4.360 * [taylor]: Taking taylor expansion of (pow (cosh (* -0.25 (/ PI f))) 1/3) in f 4.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* -0.25 (/ PI f)))))) in f 4.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* -0.25 (/ PI f))))) in f 4.360 * [taylor]: Taking taylor expansion of 1/3 in f 4.360 * [taylor]: Taking taylor expansion of (log (cosh (* -0.25 (/ PI f)))) in f 4.360 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.360 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.360 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.360 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.360 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.360 * [taylor]: Taking taylor expansion of -0.25 in f 4.360 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.360 * [taylor]: Taking taylor expansion of PI in f 4.360 * [taylor]: Taking taylor expansion of f in f 4.360 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.360 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.360 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.360 * [taylor]: Taking taylor expansion of -0.25 in f 4.360 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.360 * [taylor]: Taking taylor expansion of PI in f 4.360 * [taylor]: Taking taylor expansion of f in f 4.361 * [taylor]: Taking taylor expansion of 2 in f 4.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* -0.25 (/ PI f))))) in f 4.361 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 4.361 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.361 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.361 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.361 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.361 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.361 * [taylor]: Taking taylor expansion of -0.25 in f 4.361 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.361 * [taylor]: Taking taylor expansion of PI in f 4.361 * [taylor]: Taking taylor expansion of f in f 4.361 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.361 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.361 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.361 * [taylor]: Taking taylor expansion of -0.25 in f 4.361 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.361 * [taylor]: Taking taylor expansion of PI in f 4.361 * [taylor]: Taking taylor expansion of f in f 4.361 * [taylor]: Taking taylor expansion of 2 in f 4.362 * [taylor]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 4.362 * [taylor]: Taking taylor expansion of (pow (cosh (* -0.25 (/ PI f))) 1/3) in f 4.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* -0.25 (/ PI f)))))) in f 4.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* -0.25 (/ PI f))))) in f 4.362 * [taylor]: Taking taylor expansion of 1/3 in f 4.362 * [taylor]: Taking taylor expansion of (log (cosh (* -0.25 (/ PI f)))) in f 4.362 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.362 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.362 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.362 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.362 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.362 * [taylor]: Taking taylor expansion of -0.25 in f 4.362 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.362 * [taylor]: Taking taylor expansion of PI in f 4.362 * [taylor]: Taking taylor expansion of f in f 4.363 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.363 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.363 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.363 * [taylor]: Taking taylor expansion of -0.25 in f 4.363 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.363 * [taylor]: Taking taylor expansion of PI in f 4.363 * [taylor]: Taking taylor expansion of f in f 4.363 * [taylor]: Taking taylor expansion of 2 in f 4.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* -0.25 (/ PI f))))) in f 4.363 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 4.363 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.363 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.363 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.363 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.363 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.363 * [taylor]: Taking taylor expansion of -0.25 in f 4.363 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.363 * [taylor]: Taking taylor expansion of PI in f 4.363 * [taylor]: Taking taylor expansion of f in f 4.363 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.364 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.364 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.364 * [taylor]: Taking taylor expansion of -0.25 in f 4.364 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.364 * [taylor]: Taking taylor expansion of PI in f 4.364 * [taylor]: Taking taylor expansion of f in f 4.364 * [taylor]: Taking taylor expansion of 2 in f 4.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 4.382 * [approximate]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in (f) around 0 4.382 * [taylor]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in f 4.382 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (* f PI))) 1/3) in f 4.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (* f PI)))))) in f 4.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (* f PI))))) in f 4.382 * [taylor]: Taking taylor expansion of 1/3 in f 4.382 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (* f PI)))) in f 4.382 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.382 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.382 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.382 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.382 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.382 * [taylor]: Taking taylor expansion of 0.25 in f 4.382 * [taylor]: Taking taylor expansion of (* f PI) in f 4.382 * [taylor]: Taking taylor expansion of f in f 4.382 * [taylor]: Taking taylor expansion of PI in f 4.382 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.382 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.382 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.382 * [taylor]: Taking taylor expansion of 0.25 in f 4.382 * [taylor]: Taking taylor expansion of (* f PI) in f 4.382 * [taylor]: Taking taylor expansion of f in f 4.382 * [taylor]: Taking taylor expansion of PI in f 4.382 * [taylor]: Taking taylor expansion of 2 in f 4.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (* f PI))))) in f 4.382 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 4.383 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.383 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.383 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.383 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.383 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.383 * [taylor]: Taking taylor expansion of 0.25 in f 4.383 * [taylor]: Taking taylor expansion of (* f PI) in f 4.383 * [taylor]: Taking taylor expansion of f in f 4.383 * [taylor]: Taking taylor expansion of PI in f 4.383 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.383 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.383 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.383 * [taylor]: Taking taylor expansion of 0.25 in f 4.383 * [taylor]: Taking taylor expansion of (* f PI) in f 4.383 * [taylor]: Taking taylor expansion of f in f 4.383 * [taylor]: Taking taylor expansion of PI in f 4.383 * [taylor]: Taking taylor expansion of 2 in f 4.383 * [taylor]: Taking taylor expansion of (* (pow (cosh (* 0.25 (* f PI))) 1/3) (sqrt (/ 1 (sinh (* 0.25 (* f PI)))))) in f 4.383 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (* f PI))) 1/3) in f 4.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (* f PI)))))) in f 4.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (* f PI))))) in f 4.383 * [taylor]: Taking taylor expansion of 1/3 in f 4.383 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (* f PI)))) in f 4.383 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.383 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.384 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.384 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.384 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.384 * [taylor]: Taking taylor expansion of 0.25 in f 4.384 * [taylor]: Taking taylor expansion of (* f PI) in f 4.384 * [taylor]: Taking taylor expansion of f in f 4.384 * [taylor]: Taking taylor expansion of PI in f 4.384 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.384 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.384 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.384 * [taylor]: Taking taylor expansion of 0.25 in f 4.384 * [taylor]: Taking taylor expansion of (* f PI) in f 4.384 * [taylor]: Taking taylor expansion of f in f 4.384 * [taylor]: Taking taylor expansion of PI in f 4.384 * [taylor]: Taking taylor expansion of 2 in f 4.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (* f PI))))) in f 4.384 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (* f PI)))) in f 4.384 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.384 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.384 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.384 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.384 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.384 * [taylor]: Taking taylor expansion of 0.25 in f 4.384 * [taylor]: Taking taylor expansion of (* f PI) in f 4.384 * [taylor]: Taking taylor expansion of f in f 4.384 * [taylor]: Taking taylor expansion of PI in f 4.384 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.384 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.384 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.384 * [taylor]: Taking taylor expansion of 0.25 in f 4.384 * [taylor]: Taking taylor expansion of (* f PI) in f 4.384 * [taylor]: Taking taylor expansion of f in f 4.384 * [taylor]: Taking taylor expansion of PI in f 4.384 * [taylor]: Taking taylor expansion of 2 in f 4.391 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in (f) around 0 4.392 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in f 4.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) in f 4.392 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 4.392 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.392 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.392 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.392 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.392 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.392 * [taylor]: Taking taylor expansion of 0.25 in f 4.392 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.392 * [taylor]: Taking taylor expansion of PI in f 4.392 * [taylor]: Taking taylor expansion of f in f 4.392 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.392 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.392 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.392 * [taylor]: Taking taylor expansion of 0.25 in f 4.392 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.392 * [taylor]: Taking taylor expansion of PI in f 4.392 * [taylor]: Taking taylor expansion of f in f 4.392 * [taylor]: Taking taylor expansion of 2 in f 4.393 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (/ PI f))) 1/3) in f 4.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (/ PI f)))))) in f 4.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (/ PI f))))) in f 4.393 * [taylor]: Taking taylor expansion of 1/3 in f 4.393 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (/ PI f)))) in f 4.393 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.393 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.393 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.393 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.393 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.393 * [taylor]: Taking taylor expansion of 0.25 in f 4.393 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.393 * [taylor]: Taking taylor expansion of PI in f 4.393 * [taylor]: Taking taylor expansion of f in f 4.393 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.393 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.393 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.393 * [taylor]: Taking taylor expansion of 0.25 in f 4.393 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.393 * [taylor]: Taking taylor expansion of PI in f 4.393 * [taylor]: Taking taylor expansion of f in f 4.394 * [taylor]: Taking taylor expansion of 2 in f 4.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) (pow (cosh (* 0.25 (/ PI f))) 1/3)) in f 4.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* 0.25 (/ PI f))))) in f 4.394 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* 0.25 (/ PI f)))) in f 4.394 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.394 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.394 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.394 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.394 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.394 * [taylor]: Taking taylor expansion of 0.25 in f 4.394 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.394 * [taylor]: Taking taylor expansion of PI in f 4.394 * [taylor]: Taking taylor expansion of f in f 4.394 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.394 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.394 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.394 * [taylor]: Taking taylor expansion of 0.25 in f 4.394 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.395 * [taylor]: Taking taylor expansion of PI in f 4.395 * [taylor]: Taking taylor expansion of f in f 4.395 * [taylor]: Taking taylor expansion of 2 in f 4.396 * [taylor]: Taking taylor expansion of (pow (cosh (* 0.25 (/ PI f))) 1/3) in f 4.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* 0.25 (/ PI f)))))) in f 4.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* 0.25 (/ PI f))))) in f 4.396 * [taylor]: Taking taylor expansion of 1/3 in f 4.396 * [taylor]: Taking taylor expansion of (log (cosh (* 0.25 (/ PI f)))) in f 4.396 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.396 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.396 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.396 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.396 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.396 * [taylor]: Taking taylor expansion of 0.25 in f 4.396 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.396 * [taylor]: Taking taylor expansion of PI in f 4.396 * [taylor]: Taking taylor expansion of f in f 4.396 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.396 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.396 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.396 * [taylor]: Taking taylor expansion of 0.25 in f 4.396 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.396 * [taylor]: Taking taylor expansion of PI in f 4.396 * [taylor]: Taking taylor expansion of f in f 4.396 * [taylor]: Taking taylor expansion of 2 in f 4.414 * [approximate]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in (f) around 0 4.414 * [taylor]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 4.414 * [taylor]: Taking taylor expansion of (pow (cosh (* -0.25 (/ PI f))) 1/3) in f 4.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* -0.25 (/ PI f)))))) in f 4.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* -0.25 (/ PI f))))) in f 4.414 * [taylor]: Taking taylor expansion of 1/3 in f 4.414 * [taylor]: Taking taylor expansion of (log (cosh (* -0.25 (/ PI f)))) in f 4.414 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.414 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.414 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.414 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.414 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.414 * [taylor]: Taking taylor expansion of -0.25 in f 4.414 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.414 * [taylor]: Taking taylor expansion of PI in f 4.414 * [taylor]: Taking taylor expansion of f in f 4.414 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.414 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.414 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.414 * [taylor]: Taking taylor expansion of -0.25 in f 4.414 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.414 * [taylor]: Taking taylor expansion of PI in f 4.414 * [taylor]: Taking taylor expansion of f in f 4.414 * [taylor]: Taking taylor expansion of 2 in f 4.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* -0.25 (/ PI f))))) in f 4.415 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 4.415 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.415 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.415 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.415 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.415 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.415 * [taylor]: Taking taylor expansion of -0.25 in f 4.415 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.415 * [taylor]: Taking taylor expansion of PI in f 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.415 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.415 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.415 * [taylor]: Taking taylor expansion of -0.25 in f 4.415 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.415 * [taylor]: Taking taylor expansion of PI in f 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [taylor]: Taking taylor expansion of 2 in f 4.416 * [taylor]: Taking taylor expansion of (* (pow (cosh (* -0.25 (/ PI f))) 1/3) (sqrt (/ 1 (sinh (* -0.25 (/ PI f)))))) in f 4.416 * [taylor]: Taking taylor expansion of (pow (cosh (* -0.25 (/ PI f))) 1/3) in f 4.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cosh (* -0.25 (/ PI f)))))) in f 4.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (cosh (* -0.25 (/ PI f))))) in f 4.416 * [taylor]: Taking taylor expansion of 1/3 in f 4.416 * [taylor]: Taking taylor expansion of (log (cosh (* -0.25 (/ PI f)))) in f 4.416 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.416 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.416 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.416 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.416 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.416 * [taylor]: Taking taylor expansion of -0.25 in f 4.416 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.416 * [taylor]: Taking taylor expansion of PI in f 4.416 * [taylor]: Taking taylor expansion of f in f 4.416 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.417 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.417 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.417 * [taylor]: Taking taylor expansion of -0.25 in f 4.417 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.417 * [taylor]: Taking taylor expansion of PI in f 4.417 * [taylor]: Taking taylor expansion of f in f 4.417 * [taylor]: Taking taylor expansion of 2 in f 4.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sinh (* -0.25 (/ PI f))))) in f 4.417 * [taylor]: Taking taylor expansion of (/ 1 (sinh (* -0.25 (/ PI f)))) in f 4.417 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.417 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.417 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.417 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.417 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.417 * [taylor]: Taking taylor expansion of -0.25 in f 4.417 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.417 * [taylor]: Taking taylor expansion of PI in f 4.417 * [taylor]: Taking taylor expansion of f in f 4.417 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.417 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.417 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.417 * [taylor]: Taking taylor expansion of -0.25 in f 4.417 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.417 * [taylor]: Taking taylor expansion of PI in f 4.418 * [taylor]: Taking taylor expansion of f in f 4.418 * [taylor]: Taking taylor expansion of 2 in f 4.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 4.434 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in (f) around 0 4.434 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 4.434 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.434 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.434 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.434 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.434 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.434 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.434 * [taylor]: Taking taylor expansion of 0.25 in f 4.434 * [taylor]: Taking taylor expansion of (* f PI) in f 4.434 * [taylor]: Taking taylor expansion of f in f 4.434 * [taylor]: Taking taylor expansion of PI in f 4.434 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.434 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.434 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.434 * [taylor]: Taking taylor expansion of 0.25 in f 4.434 * [taylor]: Taking taylor expansion of (* f PI) in f 4.434 * [taylor]: Taking taylor expansion of f in f 4.434 * [taylor]: Taking taylor expansion of PI in f 4.434 * [taylor]: Taking taylor expansion of 2 in f 4.435 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.435 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.435 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.435 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.435 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.435 * [taylor]: Taking taylor expansion of 0.25 in f 4.435 * [taylor]: Taking taylor expansion of (* f PI) in f 4.435 * [taylor]: Taking taylor expansion of f in f 4.435 * [taylor]: Taking taylor expansion of PI in f 4.435 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.435 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.435 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.435 * [taylor]: Taking taylor expansion of 0.25 in f 4.435 * [taylor]: Taking taylor expansion of (* f PI) in f 4.435 * [taylor]: Taking taylor expansion of f in f 4.435 * [taylor]: Taking taylor expansion of PI in f 4.435 * [taylor]: Taking taylor expansion of 2 in f 4.435 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI))))) in f 4.435 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (* f PI))) (sinh (* 0.25 (* f PI)))) in f 4.435 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (* f PI))) in f 4.435 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.436 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.436 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.436 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.436 * [taylor]: Taking taylor expansion of 0.25 in f 4.436 * [taylor]: Taking taylor expansion of (* f PI) in f 4.436 * [taylor]: Taking taylor expansion of f in f 4.436 * [taylor]: Taking taylor expansion of PI in f 4.436 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.436 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.436 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.436 * [taylor]: Taking taylor expansion of 0.25 in f 4.436 * [taylor]: Taking taylor expansion of (* f PI) in f 4.436 * [taylor]: Taking taylor expansion of f in f 4.436 * [taylor]: Taking taylor expansion of PI in f 4.436 * [taylor]: Taking taylor expansion of 2 in f 4.436 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (* f PI))) in f 4.436 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) 2) 4.436 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (* f PI))) (exp (neg (* 0.25 (* f PI))))) in f 4.436 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* f PI))) in f 4.436 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.436 * [taylor]: Taking taylor expansion of 0.25 in f 4.436 * [taylor]: Taking taylor expansion of (* f PI) in f 4.436 * [taylor]: Taking taylor expansion of f in f 4.436 * [taylor]: Taking taylor expansion of PI in f 4.436 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (* f PI)))) in f 4.436 * [taylor]: Taking taylor expansion of (neg (* 0.25 (* f PI))) in f 4.436 * [taylor]: Taking taylor expansion of (* 0.25 (* f PI)) in f 4.436 * [taylor]: Taking taylor expansion of 0.25 in f 4.436 * [taylor]: Taking taylor expansion of (* f PI) in f 4.436 * [taylor]: Taking taylor expansion of f in f 4.436 * [taylor]: Taking taylor expansion of PI in f 4.436 * [taylor]: Taking taylor expansion of 2 in f 4.449 * [approximate]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in (f) around 0 4.449 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 4.449 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.449 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.449 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.449 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.449 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.449 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.449 * [taylor]: Taking taylor expansion of 0.25 in f 4.449 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.449 * [taylor]: Taking taylor expansion of PI in f 4.449 * [taylor]: Taking taylor expansion of f in f 4.449 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.449 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.449 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.449 * [taylor]: Taking taylor expansion of 0.25 in f 4.449 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.449 * [taylor]: Taking taylor expansion of PI in f 4.449 * [taylor]: Taking taylor expansion of f in f 4.449 * [taylor]: Taking taylor expansion of 2 in f 4.450 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.450 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.450 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.450 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.450 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.450 * [taylor]: Taking taylor expansion of 0.25 in f 4.450 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.450 * [taylor]: Taking taylor expansion of PI in f 4.450 * [taylor]: Taking taylor expansion of f in f 4.450 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.450 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.450 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.450 * [taylor]: Taking taylor expansion of 0.25 in f 4.450 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.450 * [taylor]: Taking taylor expansion of PI in f 4.450 * [taylor]: Taking taylor expansion of f in f 4.450 * [taylor]: Taking taylor expansion of 2 in f 4.451 * [taylor]: Taking taylor expansion of (log (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f))))) in f 4.451 * [taylor]: Taking taylor expansion of (/ (cosh (* 0.25 (/ PI f))) (sinh (* 0.25 (/ PI f)))) in f 4.451 * [taylor]: Taking taylor expansion of (cosh (* 0.25 (/ PI f))) in f 4.451 * [taylor]: Rewrote expression to (/ (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.451 * [taylor]: Taking taylor expansion of (+ (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.451 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.451 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.451 * [taylor]: Taking taylor expansion of 0.25 in f 4.451 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.451 * [taylor]: Taking taylor expansion of PI in f 4.451 * [taylor]: Taking taylor expansion of f in f 4.451 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.451 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.451 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.451 * [taylor]: Taking taylor expansion of 0.25 in f 4.451 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.451 * [taylor]: Taking taylor expansion of PI in f 4.451 * [taylor]: Taking taylor expansion of f in f 4.451 * [taylor]: Taking taylor expansion of 2 in f 4.452 * [taylor]: Taking taylor expansion of (sinh (* 0.25 (/ PI f))) in f 4.452 * [taylor]: Rewrote expression to (/ (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) 2) 4.452 * [taylor]: Taking taylor expansion of (- (exp (* 0.25 (/ PI f))) (exp (neg (* 0.25 (/ PI f))))) in f 4.452 * [taylor]: Taking taylor expansion of (exp (* 0.25 (/ PI f))) in f 4.452 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.452 * [taylor]: Taking taylor expansion of 0.25 in f 4.452 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.452 * [taylor]: Taking taylor expansion of PI in f 4.452 * [taylor]: Taking taylor expansion of f in f 4.452 * [taylor]: Taking taylor expansion of (exp (neg (* 0.25 (/ PI f)))) in f 4.452 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ PI f))) in f 4.452 * [taylor]: Taking taylor expansion of (* 0.25 (/ PI f)) in f 4.452 * [taylor]: Taking taylor expansion of 0.25 in f 4.452 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.452 * [taylor]: Taking taylor expansion of PI in f 4.452 * [taylor]: Taking taylor expansion of f in f 4.452 * [taylor]: Taking taylor expansion of 2 in f 4.469 * [approximate]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in (f) around 0 4.469 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 4.469 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.469 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.469 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.470 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.470 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.470 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.470 * [taylor]: Taking taylor expansion of -0.25 in f 4.470 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.470 * [taylor]: Taking taylor expansion of PI in f 4.470 * [taylor]: Taking taylor expansion of f in f 4.470 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.470 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.470 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.470 * [taylor]: Taking taylor expansion of -0.25 in f 4.470 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.470 * [taylor]: Taking taylor expansion of PI in f 4.470 * [taylor]: Taking taylor expansion of f in f 4.470 * [taylor]: Taking taylor expansion of 2 in f 4.470 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.470 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.470 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.470 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.470 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.470 * [taylor]: Taking taylor expansion of -0.25 in f 4.470 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.470 * [taylor]: Taking taylor expansion of PI in f 4.470 * [taylor]: Taking taylor expansion of f in f 4.470 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.470 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.470 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.470 * [taylor]: Taking taylor expansion of -0.25 in f 4.470 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.470 * [taylor]: Taking taylor expansion of PI in f 4.470 * [taylor]: Taking taylor expansion of f in f 4.471 * [taylor]: Taking taylor expansion of 2 in f 4.471 * [taylor]: Taking taylor expansion of (log (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f))))) in f 4.471 * [taylor]: Taking taylor expansion of (/ (cosh (* -0.25 (/ PI f))) (sinh (* -0.25 (/ PI f)))) in f 4.471 * [taylor]: Taking taylor expansion of (cosh (* -0.25 (/ PI f))) in f 4.471 * [taylor]: Rewrote expression to (/ (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.471 * [taylor]: Taking taylor expansion of (+ (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.471 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.471 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.471 * [taylor]: Taking taylor expansion of -0.25 in f 4.471 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.471 * [taylor]: Taking taylor expansion of PI in f 4.471 * [taylor]: Taking taylor expansion of f in f 4.471 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.471 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.471 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.471 * [taylor]: Taking taylor expansion of -0.25 in f 4.471 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.471 * [taylor]: Taking taylor expansion of PI in f 4.471 * [taylor]: Taking taylor expansion of f in f 4.472 * [taylor]: Taking taylor expansion of 2 in f 4.472 * [taylor]: Taking taylor expansion of (sinh (* -0.25 (/ PI f))) in f 4.472 * [taylor]: Rewrote expression to (/ (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) 2) 4.472 * [taylor]: Taking taylor expansion of (- (exp (* -0.25 (/ PI f))) (exp (neg (* -0.25 (/ PI f))))) in f 4.472 * [taylor]: Taking taylor expansion of (exp (* -0.25 (/ PI f))) in f 4.472 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.472 * [taylor]: Taking taylor expansion of -0.25 in f 4.472 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.472 * [taylor]: Taking taylor expansion of PI in f 4.472 * [taylor]: Taking taylor expansion of f in f 4.472 * [taylor]: Taking taylor expansion of (exp (neg (* -0.25 (/ PI f)))) in f 4.472 * [taylor]: Taking taylor expansion of (neg (* -0.25 (/ PI f))) in f 4.472 * [taylor]: Taking taylor expansion of (* -0.25 (/ PI f)) in f 4.472 * [taylor]: Taking taylor expansion of -0.25 in f 4.472 * [taylor]: Taking taylor expansion of (/ PI f) in f 4.472 * [taylor]: Taking taylor expansion of PI in f 4.472 * [taylor]: Taking taylor expansion of f in f 4.472 * [taylor]: Taking taylor expansion of 2 in f 4.485 * * * [progress]: simplifying candidates 4.489 * [simplify]: Simplifying using # : (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (+ (+ (- (log (cbrt (cosh (* (/ PI 4.0) f)))) (log (sqrt (sinh (* (/ PI 4.0) f))))) (log (cbrt (cosh (* (/ PI 4.0) f))))) (- (log (cbrt (cosh (* (/ PI 4.0) f)))) (log (sqrt (sinh (* (/ PI 4.0) f)))))) (+ (+ (- (log (cbrt (cosh (* (/ PI 4.0) f)))) (log (sqrt (sinh (* (/ PI 4.0) f))))) (log (cbrt (cosh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (+ (+ (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (cbrt (cosh (* (/ PI 4.0) f))))) (- (log (cbrt (cosh (* (/ PI 4.0) f)))) (log (sqrt (sinh (* (/ PI 4.0) f)))))) (+ (+ (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (log (cbrt (cosh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (+ (log (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f))))) (- (log (cbrt (cosh (* (/ PI 4.0) f)))) (log (sqrt (sinh (* (/ PI 4.0) f)))))) (+ (log (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f))))) (log (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (log (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (exp (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (* (/ (cosh (* (/ PI 4.0) f)) (* (* (sqrt (sinh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f))))) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (* (* (sqrt (sinh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (* (/ (cosh (* (/ PI 4.0) f)) (* (* (sqrt (sinh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f))))) (cosh (* (/ PI 4.0) f))) (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (* (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (cosh (* (/ PI 4.0) f))) (/ (cosh (* (/ PI 4.0) f)) (* (* (sqrt (sinh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (* (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (cosh (* (/ PI 4.0) f))) (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f))))) (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))))) (* (* (* (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f)))) (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* (/ PI 4.0) f))))) (* (/ (cbrt (cosh (* (/ PI 4.0) f))) (sqrt (sinh (* (/ PI 4.0) f)))) (cbrt (cosh (* 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(* (* f f) (* (* PI NAN) 0.05208333333333333)) (+ (/ NAN PI) (* (/ f PI) (/ (pow NAN 3) PI))))) (* (cbrt (* (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) 1/2)) (* (sqrt (/ 1 (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) (sqrt 2))) (* (sqrt 2) (* (sqrt (/ 1 (- (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))))) (cbrt (* (+ (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))) 1/2)))) (+ (* 2 (* (/ (* f f) (pow PI 3)) (pow NAN 5))) (+ (* (* f f) (* (* PI NAN) 0.05208333333333333)) (+ (/ NAN PI) (* (/ f PI) (/ (pow NAN 3) PI))))) (* (cbrt (* (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) 1/2)) (* (sqrt (/ 1 (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) (sqrt 2))) (* (sqrt 2) (* (sqrt (/ 1 (- (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))))) (cbrt (* (+ (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))) 1/2)))) (+ (* (* f f) (* (* PI PI) 0.020833333333333336)) (- (log (/ 4.0 PI)) (+ (log f) (+ (* 0.0034722222222222225 (* (/ (pow PI 4) 4.0) (/ (pow f 4) 4.0))) (* (pow PI 4) (* (pow f 4) 8.68055555555556e-05)))))) (log (/ (+ (pow (exp 0.25) (* PI (neg f))) (pow (exp 0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp 0.25) (* PI (neg f)))))) (log (/ (+ (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))) (- (pow (exp 0.25) (* PI f)) (pow (exp -0.25) (* PI f))))) 4.576 * * * [progress]: adding candidates to table 5.672 * [progress]: [Phase 3 of 3] Extracting. 5.672 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 5.679 * * * [regime-changes]: Trying 2 branch expressions: ((* (/ PI 4.0) f) f) 5.679 * * * * [regimes]: Trying to branch on (* (/ PI 4.0) f) from (# # # # # # # # # # # # #) 5.771 * * * * [regimes]: Trying to branch on f from (# # # # # # # # # # # # #) 5.858 * * * [regime]: Found split indices: #