18.063 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.013 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.014 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.015 * * [simplify]: iteration 2 : 12 enodes (cost 8 ) 0.017 * * [simplify]: iteration 3 : 14 enodes (cost 8 ) 0.019 * * [simplify]: iteration 4 : 15 enodes (cost 8 ) 0.021 * * [simplify]: iteration 5 : 20 enodes (cost 8 ) 0.029 * * [simplify]: iteration 6 : 29 enodes (cost 8 ) 0.037 * * [simplify]: iteration 7 : 49 enodes (cost 8 ) 0.056 * * [simplify]: iteration 8 : 103 enodes (cost 8 ) 0.239 * * [simplify]: iteration 9 : 615 enodes (cost 8 ) 2.749 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 2.749 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 2.750 * * [progress]: iteration 1 / 4 2.750 * * * [progress]: picking best candidate 2.751 * * * * [pick]: Picked # 2.751 * * * [progress]: localizing error 2.757 * * * [progress]: generating rewritten candidates 2.757 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.769 * * * [progress]: generating series expansions 2.769 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.769 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 2.769 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 2.769 * [taylor]: Taking taylor expansion of 2.0 in x 2.769 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.769 * [taylor]: Taking taylor expansion of (exp x) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.770 * [taylor]: Taking taylor expansion of (- x) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 2.771 * [taylor]: Taking taylor expansion of 2.0 in x 2.771 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.771 * [taylor]: Taking taylor expansion of (exp x) in x 2.771 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.771 * [taylor]: Taking taylor expansion of (- x) in x 2.771 * [taylor]: Taking taylor expansion of x in x 2.800 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.800 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.800 * [taylor]: Taking taylor expansion of 2.0 in x 2.800 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.800 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.800 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.801 * [taylor]: Taking taylor expansion of 2.0 in x 2.801 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.801 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.801 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.807 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.807 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.807 * [taylor]: Taking taylor expansion of 2.0 in x 2.807 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.807 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.808 * [taylor]: Taking taylor expansion of 2.0 in x 2.808 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.808 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.808 * [taylor]: Taking taylor expansion of -1 in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.813 * * * [progress]: simplifying candidates 2.814 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 2.816 * * [simplify]: iteration 0 : 80 enodes (cost 510 ) 2.832 * * [simplify]: iteration 1 : 168 enodes (cost 489 ) 2.871 * * [simplify]: iteration 2 : 451 enodes (cost 455 ) 3.176 * * [simplify]: iteration 3 : 1865 enodes (cost 454 ) 3.935 * * [simplify]: iteration done : 5001 enodes (cost 454 ) 3.935 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (/ 2.0 (- (exp (+ x x)) (exp (* x -2)))) (- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 3.935 * * * [progress]: adding candidates to table 4.009 * * [progress]: iteration 2 / 4 4.009 * * * [progress]: picking best candidate 4.011 * * * * [pick]: Picked # 4.011 * * * [progress]: localizing error 4.019 * * * [progress]: generating rewritten candidates 4.019 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.056 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.071 * * * [progress]: generating series expansions 4.071 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.071 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 4.071 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 4.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.071 * [taylor]: Taking taylor expansion of 2.0 in x 4.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 4.072 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 4.072 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.072 * [taylor]: Taking taylor expansion of (exp x) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.072 * [taylor]: Taking taylor expansion of (- x) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.076 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 4.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.076 * [taylor]: Taking taylor expansion of 2.0 in x 4.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 4.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 4.077 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.077 * [taylor]: Taking taylor expansion of (exp x) in x 4.077 * [taylor]: Taking taylor expansion of x in x 4.077 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.077 * [taylor]: Taking taylor expansion of (- x) in x 4.077 * [taylor]: Taking taylor expansion of x in x 4.133 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 4.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 4.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.133 * [taylor]: Taking taylor expansion of 2.0 in x 4.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.134 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.134 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.134 * [taylor]: Taking taylor expansion of x in x 4.134 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.134 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.134 * [taylor]: Taking taylor expansion of x in x 4.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 4.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.136 * [taylor]: Taking taylor expansion of 2.0 in x 4.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 4.137 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.137 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.137 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.137 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.137 * [taylor]: Taking taylor expansion of x in x 4.156 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 4.156 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 4.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.156 * [taylor]: Taking taylor expansion of 2.0 in x 4.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 4.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.157 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.157 * [taylor]: Taking taylor expansion of -1 in x 4.157 * [taylor]: Taking taylor expansion of x in x 4.158 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 4.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.158 * [taylor]: Taking taylor expansion of 2.0 in x 4.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 4.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.159 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.159 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.159 * [taylor]: Taking taylor expansion of -1 in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.177 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 4.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 4.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.177 * [taylor]: Taking taylor expansion of 2.0 in x 4.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 4.178 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 4.178 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.178 * [taylor]: Taking taylor expansion of (exp x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.178 * [taylor]: Taking taylor expansion of (- x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.182 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 4.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.182 * [taylor]: Taking taylor expansion of 2.0 in x 4.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 4.182 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 4.182 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.182 * [taylor]: Taking taylor expansion of (exp x) in x 4.182 * [taylor]: Taking taylor expansion of x in x 4.182 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.182 * [taylor]: Taking taylor expansion of (- x) in x 4.182 * [taylor]: Taking taylor expansion of x in x 4.241 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 4.241 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 4.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.241 * [taylor]: Taking taylor expansion of 2.0 in x 4.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 4.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.243 * [taylor]: Taking taylor expansion of 2.0 in x 4.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 4.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.244 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.244 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.244 * [taylor]: Taking taylor expansion of x in x 4.244 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.244 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.263 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 4.263 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 4.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.263 * [taylor]: Taking taylor expansion of 2.0 in x 4.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 4.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.264 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.264 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.264 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.264 * [taylor]: Taking taylor expansion of -1 in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 4.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 4.265 * [taylor]: Taking taylor expansion of 2.0 in x 4.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.266 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.266 * [taylor]: Taking taylor expansion of -1 in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.291 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.291 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 4.291 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 4.291 * [taylor]: Taking taylor expansion of 2.0 in x 4.291 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.291 * [taylor]: Taking taylor expansion of (exp x) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.291 * [taylor]: Taking taylor expansion of (- x) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.292 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 4.292 * [taylor]: Taking taylor expansion of 2.0 in x 4.292 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.292 * [taylor]: Taking taylor expansion of (exp x) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.292 * [taylor]: Taking taylor expansion of (- x) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.315 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 4.315 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.315 * [taylor]: Taking taylor expansion of 2.0 in x 4.315 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.315 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.315 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.316 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.316 * [taylor]: Taking taylor expansion of 2.0 in x 4.316 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.316 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.316 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.316 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.322 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 4.322 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.322 * [taylor]: Taking taylor expansion of 2.0 in x 4.322 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.322 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.322 * [taylor]: Taking taylor expansion of x in x 4.323 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.323 * [taylor]: Taking taylor expansion of -1 in x 4.323 * [taylor]: Taking taylor expansion of x in x 4.323 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.323 * [taylor]: Taking taylor expansion of 2.0 in x 4.323 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.323 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.323 * [taylor]: Taking taylor expansion of x in x 4.323 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.323 * [taylor]: Taking taylor expansion of -1 in x 4.324 * [taylor]: Taking taylor expansion of x in x 4.329 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.329 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 4.329 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 4.329 * [taylor]: Taking taylor expansion of 2.0 in x 4.329 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.329 * [taylor]: Taking taylor expansion of (exp x) in x 4.329 * [taylor]: Taking taylor expansion of x in x 4.329 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.329 * [taylor]: Taking taylor expansion of (- x) in x 4.329 * [taylor]: Taking taylor expansion of x in x 4.330 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 4.330 * [taylor]: Taking taylor expansion of 2.0 in x 4.330 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 4.330 * [taylor]: Taking taylor expansion of (exp x) in x 4.330 * [taylor]: Taking taylor expansion of x in x 4.330 * [taylor]: Taking taylor expansion of (exp (- x)) in x 4.330 * [taylor]: Taking taylor expansion of (- x) in x 4.330 * [taylor]: Taking taylor expansion of x in x 4.353 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 4.353 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.353 * [taylor]: Taking taylor expansion of 2.0 in x 4.353 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.353 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.353 * [taylor]: Taking taylor expansion of x in x 4.353 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.353 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.353 * [taylor]: Taking taylor expansion of x in x 4.354 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 4.354 * [taylor]: Taking taylor expansion of 2.0 in x 4.354 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 4.354 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.354 * [taylor]: Taking taylor expansion of x in x 4.354 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 4.354 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.354 * [taylor]: Taking taylor expansion of x in x 4.360 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 4.360 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.360 * [taylor]: Taking taylor expansion of 2.0 in x 4.360 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.360 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.361 * [taylor]: Taking taylor expansion of x in x 4.361 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.361 * [taylor]: Taking taylor expansion of -1 in x 4.361 * [taylor]: Taking taylor expansion of x in x 4.361 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 4.361 * [taylor]: Taking taylor expansion of 2.0 in x 4.361 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 4.361 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 4.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.361 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 4.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.362 * [taylor]: Taking taylor expansion of -1 in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.367 * * * [progress]: simplifying candidates 4.374 * [simplify]: Simplifying using # : (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) 1)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) 1)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 1 1)) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 1 1)) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 1) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x)))) (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))) (/ 1 2) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) 1)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) 1)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 1 1)) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 1 1)) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 1) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x)))) (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))) (/ 1 2) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 4.380 * * [simplify]: iteration 0 : 140 enodes (cost 2178 ) 4.404 * * [simplify]: iteration 1 : 277 enodes (cost 2040 ) 4.461 * * [simplify]: iteration 2 : 736 enodes (cost 1912 ) 4.969 * * [simplify]: iteration 3 : 3948 enodes (cost 1890 ) 6.332 * * [simplify]: iteration done : 5000 enodes (cost 1890 ) 6.333 * [simplify]: Simplified to: (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3) (fabs (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (fabs (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) 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(cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (exp (* x -3)) (pow (exp x) 3))) (/ 2.0 (- (exp (+ x x)) (exp (* x -2)))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) 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1/128 1/2))) (/ -1/8 (/ (sqrt 1/2) (* (sqrt 2.0) (pow x 2)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (fma (sqrt 1/2) (sqrt 2.0) (+ (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) (- 5/96 (/ 1/128 1/2))) (/ -1/8 (/ (sqrt 1/2) (* (sqrt 2.0) (pow x 2)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) (- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 6.334 * * * [progress]: adding candidates to table 6.707 * [progress]: [Phase 3 of 3] Extracting. 6.709 * [simplify]: Simplifying using # : (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 6.710 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 6.710 * * [simplify]: iteration 1 : 10 enodes (cost 19 ) 6.710 * * [simplify]: iteration done : 10 enodes (cost 19 ) 6.710 * [simplify]: Simplified to: (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 7.076 * [regime-testing]: End program error score: 0.010732544693988193