13.189 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.062 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.063 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.065 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.066 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.067 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.069 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.070 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.070 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.083 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.090 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2 2) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.092 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.092 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.092 * [taylor]: Taking taylor expansion of 0.5 in x 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.093 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (* x x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.102 * [taylor]: Taking taylor expansion of 0.5 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.103 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.103 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.103 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (* x x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.350 * [taylor]: Taking taylor expansion of 0.5 in x 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.356 * [taylor]: Taking taylor expansion of 0.5 in x 0.398 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.410 * [taylor]: Taking taylor expansion of 0.5 in x 0.446 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.446 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.446 * [taylor]: Taking taylor expansion of 0.5 in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.447 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.447 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (* x x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.455 * [taylor]: Taking taylor expansion of 0.5 in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.456 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.456 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (* x x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.647 * [taylor]: Taking taylor expansion of 0.5 in x 0.647 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.676 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.676 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.676 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.676 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.681 * [taylor]: Taking taylor expansion of 0.5 in x 0.682 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.688 * [taylor]: Taking taylor expansion of 0.5 in x 0.716 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2 2) 0.716 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.716 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (* x x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.719 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.719 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [taylor]: Taking taylor expansion of (* x x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.734 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.752 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.752 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.752 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.770 * * * [progress]: simplifying candidates 0.771 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.777 * * [simplify]: iteration 0 : 428 enodes (cost 906 ) 0.784 * * [simplify]: iteration 1 : 1480 enodes (cost 669 ) 0.812 * * [simplify]: iteration 2 : 5001 enodes (cost 655 ) 0.815 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* (/ 1 x) (- (/ 0.125 (pow x 2)) 0.5)) x) 0.816 * * * [progress]: adding candidates to table 0.986 * * [progress]: iteration 2 / 4 0.986 * * * [progress]: picking best candidate 0.996 * * * * [pick]: Picked # 0.996 * * * [progress]: localizing error 1.008 * * * [progress]: generating rewritten candidates 1.008 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.009 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.016 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.022 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2 2) 1.023 * * * [progress]: generating series expansions 1.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.024 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.024 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.024 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.025 * [taylor]: Taking taylor expansion of -0.5 in x 1.025 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.025 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.025 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.025 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.025 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.025 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (* x x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.028 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.028 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of -0.5 in x 1.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.028 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.028 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.028 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.028 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (* x x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.119 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.119 * [taylor]: Taking taylor expansion of -0.5 in x 1.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.119 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.123 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.123 * [taylor]: Taking taylor expansion of -0.5 in x 1.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.150 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.150 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.150 * [taylor]: Taking taylor expansion of -0.5 in x 1.150 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.150 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.150 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.150 * [taylor]: Taking taylor expansion of -1 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.150 * [taylor]: Taking taylor expansion of -1 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.153 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.153 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.153 * [taylor]: Taking taylor expansion of -0.5 in x 1.153 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.174 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.174 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.174 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.174 * [taylor]: Taking taylor expansion of 0.5 in x 1.175 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.175 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (* x x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.183 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.183 * [taylor]: Taking taylor expansion of 0.5 in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.184 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.184 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.184 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.184 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.184 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (* x x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.364 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.370 * [taylor]: Taking taylor expansion of 0.5 in x 1.371 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.371 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.371 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.376 * [taylor]: Taking taylor expansion of 0.5 in x 1.405 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.410 * [taylor]: Taking taylor expansion of 0.5 in x 1.411 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.411 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.411 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.411 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.412 * [taylor]: Taking taylor expansion of -1 in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.417 * [taylor]: Taking taylor expansion of 0.5 in x 1.439 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.439 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.439 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.440 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.440 * [taylor]: Taking taylor expansion of -0.5 in x 1.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (* x x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.443 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.443 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.443 * [taylor]: Taking taylor expansion of 0.5 in x 1.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.444 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of (* x x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.478 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.478 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.478 * [taylor]: Taking taylor expansion of -0.5 in x 1.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.478 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.479 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (* x x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.481 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.481 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.481 * [taylor]: Taking taylor expansion of 0.5 in x 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.482 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (* x x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.491 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.491 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.491 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.491 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.491 * [taylor]: Taking taylor expansion of -0.5 in x 2.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.491 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.491 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.491 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.494 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.495 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.495 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.495 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.495 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.495 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.495 * [taylor]: Taking taylor expansion of x in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.495 * [taylor]: Taking taylor expansion of x in x 2.498 * [taylor]: Taking taylor expansion of 1.0 in x 2.500 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.500 * [taylor]: Taking taylor expansion of 0.5 in x 2.501 * [taylor]: Taking taylor expansion of 1.0 in x 2.505 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.506 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.506 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.506 * [taylor]: Taking taylor expansion of -0.5 in x 2.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.506 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.509 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.509 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.510 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.515 * [taylor]: Taking taylor expansion of 0.5 in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.652 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.652 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.653 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.653 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.653 * [taylor]: Taking taylor expansion of -0.5 in x 2.653 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.653 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.653 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.653 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.653 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.653 * [taylor]: Taking taylor expansion of -1 in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.653 * [taylor]: Taking taylor expansion of -1 in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of 1.0 in x 2.656 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.656 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.657 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.657 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.657 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.657 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.657 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.657 * [taylor]: Taking taylor expansion of -1 in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.657 * [taylor]: Taking taylor expansion of -1 in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.660 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.662 * [taylor]: Taking taylor expansion of 0.5 in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.668 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.668 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.668 * [taylor]: Taking taylor expansion of -0.5 in x 2.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.668 * [taylor]: Taking taylor expansion of -1 in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.669 * [taylor]: Taking taylor expansion of -1 in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.672 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.672 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.672 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.672 * [taylor]: Taking taylor expansion of -1 in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.672 * [taylor]: Taking taylor expansion of -1 in x 2.673 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.678 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.678 * [taylor]: Taking taylor expansion of 0.5 in x 2.678 * [taylor]: Taking taylor expansion of 1.0 in x 2.816 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2 2) 2.816 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 2.816 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.816 * [taylor]: Taking taylor expansion of 1.0 in x 2.816 * [taylor]: Taking taylor expansion of 1.0 in x 2.816 * [taylor]: Taking taylor expansion of (* x x) in x 2.816 * [taylor]: Taking taylor expansion of x in x 2.816 * [taylor]: Taking taylor expansion of x in x 2.819 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.819 * [taylor]: Taking taylor expansion of 1.0 in x 2.819 * [taylor]: Taking taylor expansion of 1.0 in x 2.819 * [taylor]: Taking taylor expansion of (* x x) in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.835 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 2.835 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.835 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.835 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.838 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.838 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.859 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 2.859 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.859 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.859 * [taylor]: Taking taylor expansion of -1 in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.860 * [taylor]: Taking taylor expansion of -1 in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.862 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.863 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.863 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.863 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.863 * [taylor]: Taking taylor expansion of -1 in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.863 * [taylor]: Taking taylor expansion of -1 in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.877 * * * [progress]: simplifying candidates 2.879 * [simplify]: Simplifying using # : (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) 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(+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 2.889 * * [simplify]: iteration 0 : 826 enodes (cost 1456 ) 2.904 * * [simplify]: iteration 1 : 3704 enodes (cost 1348 ) 2.963 * * [simplify]: iteration 2 : 5001 enodes (cost 1334 ) 2.969 * [simplify]: Simplified to: (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 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(sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 2.970 * * * [progress]: adding candidates to table 3.272 * * [progress]: iteration 3 / 4 3.272 * * * [progress]: picking best candidate 3.285 * * * * [pick]: Picked # 3.285 * * * [progress]: localizing error 3.298 * * * [progress]: generating rewritten candidates 3.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 3.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.345 * * * [progress]: generating series expansions 3.345 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.346 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 3.346 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.346 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.346 * [taylor]: Taking taylor expansion of -0.5 in x 3.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.346 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of (* x x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.349 * [taylor]: Taking taylor expansion of 1.0 in x 3.349 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.350 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.350 * [taylor]: Taking taylor expansion of -0.5 in x 3.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.350 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of (* x x) in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.353 * [taylor]: Taking taylor expansion of 1.0 in x 3.440 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 3.440 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.440 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 3.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.441 * [taylor]: Taking taylor expansion of -0.5 in x 3.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.441 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.444 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 3.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.444 * [taylor]: Taking taylor expansion of -0.5 in x 3.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 3.464 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.464 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 3.464 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.464 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.464 * [taylor]: Taking taylor expansion of -0.5 in x 3.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.464 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.464 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.464 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.464 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [taylor]: Taking taylor expansion of 1.0 in x 3.464 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.464 * [taylor]: Taking taylor expansion of -1 in x 3.464 * [taylor]: Taking taylor expansion of x in x 3.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.465 * [taylor]: Taking taylor expansion of -1 in x 3.465 * [taylor]: Taking taylor expansion of x in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.468 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 3.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.468 * [taylor]: Taking taylor expansion of -0.5 in x 3.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.468 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.469 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.469 * [taylor]: Taking taylor expansion of 1.0 in x 3.469 * [taylor]: Taking taylor expansion of 1.0 in x 3.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.469 * [taylor]: Taking taylor expansion of -1 in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.469 * [taylor]: Taking taylor expansion of -1 in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.472 * [taylor]: Taking taylor expansion of 1.0 in x 3.488 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.488 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 3.488 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.488 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.488 * [taylor]: Taking taylor expansion of 0.5 in x 3.489 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.489 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.489 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of (* x x) in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.503 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.503 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.503 * [taylor]: Taking taylor expansion of 0.5 in x 3.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.504 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.504 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.504 * [taylor]: Taking taylor expansion of 1.0 in x 3.504 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.504 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.504 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.504 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.504 * [taylor]: Taking taylor expansion of 1.0 in x 3.504 * [taylor]: Taking taylor expansion of 1.0 in x 3.504 * [taylor]: Taking taylor expansion of (* x x) in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.507 * [taylor]: Taking taylor expansion of 1.0 in x 3.682 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.683 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.686 * [taylor]: Taking taylor expansion of 1.0 in x 3.688 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.688 * [taylor]: Taking taylor expansion of 0.5 in x 3.689 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.689 * [taylor]: Taking taylor expansion of x in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.690 * [taylor]: Taking taylor expansion of x in x 3.692 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.694 * [taylor]: Taking taylor expansion of 0.5 in x 3.717 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.717 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.717 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.717 * [taylor]: Taking taylor expansion of 1.0 in x 3.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.717 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.717 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.717 * [taylor]: Taking taylor expansion of 1.0 in x 3.717 * [taylor]: Taking taylor expansion of 1.0 in x 3.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.717 * [taylor]: Taking taylor expansion of -1 in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.717 * [taylor]: Taking taylor expansion of -1 in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.720 * [taylor]: Taking taylor expansion of 1.0 in x 3.722 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.722 * [taylor]: Taking taylor expansion of 0.5 in x 3.723 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.723 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.723 * [taylor]: Taking taylor expansion of 1.0 in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.723 * [taylor]: Taking taylor expansion of 1.0 in x 3.723 * [taylor]: Taking taylor expansion of 1.0 in x 3.723 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.723 * [taylor]: Taking taylor expansion of -1 in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.724 * [taylor]: Taking taylor expansion of -1 in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.727 * [taylor]: Taking taylor expansion of 1.0 in x 3.729 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.729 * [taylor]: Taking taylor expansion of 0.5 in x 3.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 3.757 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in (x) around 0 3.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.757 * [taylor]: Taking taylor expansion of 1.0 in x 3.757 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.757 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.757 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.757 * [taylor]: Taking taylor expansion of 1.0 in x 3.757 * [taylor]: Taking taylor expansion of 1.0 in x 3.757 * [taylor]: Taking taylor expansion of (* x x) in x 3.757 * [taylor]: Taking taylor expansion of x in x 3.757 * [taylor]: Taking taylor expansion of x in x 3.760 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.766 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.766 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.766 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [taylor]: Taking taylor expansion of (* x x) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.769 * [taylor]: Taking taylor expansion of 1.0 in x 3.888 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in (x) around 0 3.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.888 * [taylor]: Taking taylor expansion of 1.0 in x 3.888 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.889 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.889 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.889 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.889 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.892 * [taylor]: Taking taylor expansion of 1.0 in x 3.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.894 * [taylor]: Taking taylor expansion of 1.0 in x 3.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.894 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.894 * [taylor]: Taking taylor expansion of 1.0 in x 3.894 * [taylor]: Taking taylor expansion of 1.0 in x 3.894 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.894 * [taylor]: Taking taylor expansion of x in x 3.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.894 * [taylor]: Taking taylor expansion of x in x 3.903 * [taylor]: Taking taylor expansion of 1.0 in x 3.914 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in (x) around 0 3.914 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.914 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.914 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.914 * [taylor]: Taking taylor expansion of 1.0 in x 3.914 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.914 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.914 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.914 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.914 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.914 * [taylor]: Taking taylor expansion of 1.0 in x 3.914 * [taylor]: Taking taylor expansion of 1.0 in x 3.914 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.914 * [taylor]: Taking taylor expansion of -1 in x 3.914 * [taylor]: Taking taylor expansion of x in x 3.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.914 * [taylor]: Taking taylor expansion of -1 in x 3.914 * [taylor]: Taking taylor expansion of x in x 3.917 * [taylor]: Taking taylor expansion of 1.0 in x 3.919 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.919 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.919 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.919 * [taylor]: Taking taylor expansion of 1.0 in x 3.919 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.919 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.920 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.920 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.920 * [taylor]: Taking taylor expansion of 1.0 in x 3.920 * [taylor]: Taking taylor expansion of 1.0 in x 3.920 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.920 * [taylor]: Taking taylor expansion of -1 in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.920 * [taylor]: Taking taylor expansion of -1 in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.923 * [taylor]: Taking taylor expansion of 1.0 in x 3.933 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.934 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.934 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.934 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.934 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3.934 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.934 * [taylor]: Taking taylor expansion of -0.5 in x 3.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.934 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.934 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.934 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of (* x x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.937 * [taylor]: Taking taylor expansion of 1.0 in x 3.937 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.937 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.937 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.937 * [taylor]: Taking taylor expansion of 0.5 in x 3.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.938 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.938 * [taylor]: Taking taylor expansion of 1.0 in x 3.938 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.938 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.938 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.938 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.938 * [taylor]: Taking taylor expansion of 1.0 in x 3.938 * [taylor]: Taking taylor expansion of 1.0 in x 3.938 * [taylor]: Taking taylor expansion of (* x x) in x 3.938 * [taylor]: Taking taylor expansion of x in x 3.938 * [taylor]: Taking taylor expansion of x in x 3.941 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.966 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.966 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3.966 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.966 * [taylor]: Taking taylor expansion of -0.5 in x 3.966 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.966 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.966 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.966 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.966 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.966 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of (* x x) in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.969 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.969 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.969 * [taylor]: Taking taylor expansion of 0.5 in x 3.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.970 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.970 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.970 * [taylor]: Taking taylor expansion of 1.0 in x 3.970 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.970 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.970 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.970 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.970 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.970 * [taylor]: Taking taylor expansion of 1.0 in x 3.970 * [taylor]: Taking taylor expansion of 1.0 in x 3.970 * [taylor]: Taking taylor expansion of (* x x) in x 3.970 * [taylor]: Taking taylor expansion of x in x 3.970 * [taylor]: Taking taylor expansion of x in x 3.973 * [taylor]: Taking taylor expansion of 1.0 in x 3.979 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.794 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.794 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.794 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 4.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.794 * [taylor]: Taking taylor expansion of -0.5 in x 4.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.794 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.794 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.795 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.798 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.798 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.801 * [taylor]: Taking taylor expansion of 1.0 in x 4.803 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.803 * [taylor]: Taking taylor expansion of 0.5 in x 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.809 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.809 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 4.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.809 * [taylor]: Taking taylor expansion of -0.5 in x 4.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.809 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.809 * [taylor]: Taking taylor expansion of x in x 4.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.810 * [taylor]: Taking taylor expansion of x in x 4.812 * [taylor]: Taking taylor expansion of 1.0 in x 4.812 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.812 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.812 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.813 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.813 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.813 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.813 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.813 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.813 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.818 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.818 * [taylor]: Taking taylor expansion of 0.5 in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.957 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.957 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.957 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 4.957 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.957 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.957 * [taylor]: Taking taylor expansion of -0.5 in x 4.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.957 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.957 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.957 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.957 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [taylor]: Taking taylor expansion of 1.0 in x 4.957 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.957 * [taylor]: Taking taylor expansion of -1 in x 4.957 * [taylor]: Taking taylor expansion of x in x 4.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.958 * [taylor]: Taking taylor expansion of -1 in x 4.958 * [taylor]: Taking taylor expansion of x in x 4.961 * [taylor]: Taking taylor expansion of 1.0 in x 4.961 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.961 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.961 * [taylor]: Taking taylor expansion of 1.0 in x 4.961 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.961 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.961 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.961 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.961 * [taylor]: Taking taylor expansion of 1.0 in x 4.961 * [taylor]: Taking taylor expansion of 1.0 in x 4.961 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.961 * [taylor]: Taking taylor expansion of -1 in x 4.961 * [taylor]: Taking taylor expansion of x in x 4.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.962 * [taylor]: Taking taylor expansion of -1 in x 4.962 * [taylor]: Taking taylor expansion of x in x 4.965 * [taylor]: Taking taylor expansion of 1.0 in x 4.967 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.967 * [taylor]: Taking taylor expansion of 0.5 in x 4.967 * [taylor]: Taking taylor expansion of 1.0 in x 4.972 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.973 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.973 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 4.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.973 * [taylor]: Taking taylor expansion of 1.0 in x 4.973 * [taylor]: Taking taylor expansion of 1.0 in x 4.973 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.973 * [taylor]: Taking taylor expansion of -0.5 in x 4.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.973 * [taylor]: Taking taylor expansion of 1.0 in x 4.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.973 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.973 * [taylor]: Taking taylor expansion of 1.0 in x 4.973 * [taylor]: Taking taylor expansion of 1.0 in x 4.973 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.973 * [taylor]: Taking taylor expansion of -1 in x 4.973 * [taylor]: Taking taylor expansion of x in x 4.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.973 * [taylor]: Taking taylor expansion of -1 in x 4.973 * [taylor]: Taking taylor expansion of x in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.977 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.977 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.977 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.977 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.977 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.977 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.977 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.977 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.977 * [taylor]: Taking taylor expansion of -1 in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.977 * [taylor]: Taking taylor expansion of -1 in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.980 * [taylor]: Taking taylor expansion of 1.0 in x 4.982 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.982 * [taylor]: Taking taylor expansion of 0.5 in x 4.983 * [taylor]: Taking taylor expansion of 1.0 in x 5.123 * * * [progress]: simplifying candidates 5.125 * [simplify]: Simplifying using # : (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (log (sqrt 0.5)) (log (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (* (cbrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt 0.5) (sqrt (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt 0.5) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) (sqrt 1)) (* (sqrt 0.5) (sqrt 1)) (* (sqrt 0.5) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt 0.5) 1) (* (cbrt (sqrt 0.5)) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (cbrt 0.5)) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt 0.5)) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt 0.5)) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt 0.5) (sqrt (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (* (sqrt 0.5) (sqrt (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (log1p (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (log (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (exp (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 1) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 1) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma 1.0 1.0 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iteration 0 : 902 enodes (cost 1737 ) 5.155 * * [simplify]: iteration 1 : 4472 enodes (cost 1607 ) 5.227 * * [simplify]: iteration 2 : 5001 enodes (cost 1605 ) 5.234 * [simplify]: Simplified to: (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 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(/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) 1.0)) (/ 1 (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) 1.0) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) 1.0) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) 1.0) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (pow 1.0 3) (pow (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) 1 (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (fma 0.03125 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ 1 (* x (sqrt 1.0))) (- (sqrt 1.0) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt 1.0) 3)))))) (- (sqrt 1.0) (+ (* 0.5 (/ 1 (* x (sqrt 1.0)))) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) 0.5)) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) 0.5)) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (+ (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3))) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5)))) (/ (* 0.25 (sqrt 0.5)) (* (* (pow x 2) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)))) (fma (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (fma (/ (/ 0.5 (pow x 2)) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) 0.125 (fma 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) 5.235 * * * [progress]: adding candidates to table 5.628 * * [progress]: iteration 4 / 4 5.628 * * * [progress]: picking best candidate 5.640 * * * * [pick]: Picked # 5.640 * * * [progress]: localizing error 5.655 * * * [progress]: generating rewritten candidates 5.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.656 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 5.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.663 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.679 * * * [progress]: generating series expansions 5.679 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.680 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 5.680 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.680 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 5.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.680 * [taylor]: Taking taylor expansion of -0.5 in x 5.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.680 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [taylor]: Taking taylor expansion of (* x x) in x 5.680 * [taylor]: Taking taylor expansion of x in x 5.680 * [taylor]: Taking taylor expansion of x in x 5.683 * [taylor]: Taking taylor expansion of 1.0 in x 5.683 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.684 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 5.684 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.684 * [taylor]: Taking taylor expansion of 1.0 in x 5.684 * [taylor]: Taking taylor expansion of 1.0 in x 5.684 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.684 * [taylor]: Taking taylor expansion of -0.5 in x 5.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.684 * [taylor]: Taking taylor expansion of 1.0 in x 5.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.684 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.684 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.684 * [taylor]: Taking taylor expansion of 1.0 in x 5.684 * [taylor]: Taking taylor expansion of 1.0 in x 5.684 * [taylor]: Taking taylor expansion of (* x x) in x 5.684 * [taylor]: Taking taylor expansion of x in x 5.684 * [taylor]: Taking taylor expansion of x in x 5.687 * [taylor]: Taking taylor expansion of 1.0 in x 5.776 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 5.776 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.776 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 5.776 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.776 * [taylor]: Taking taylor expansion of 1.0 in x 5.776 * [taylor]: Taking taylor expansion of 1.0 in x 5.776 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.777 * [taylor]: Taking taylor expansion of -0.5 in x 5.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.777 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.777 * [taylor]: Taking taylor expansion of 1.0 in x 5.777 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.777 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.777 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.777 * [taylor]: Taking taylor expansion of 1.0 in x 5.777 * [taylor]: Taking taylor expansion of 1.0 in x 5.777 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.777 * [taylor]: Taking taylor expansion of x in x 5.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.777 * [taylor]: Taking taylor expansion of x in x 5.780 * [taylor]: Taking taylor expansion of 1.0 in x 5.780 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.780 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 5.780 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.780 * [taylor]: Taking taylor expansion of 1.0 in x 5.780 * [taylor]: Taking taylor expansion of 1.0 in x 5.780 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.780 * [taylor]: Taking taylor expansion of -0.5 in x 5.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.780 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.781 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.781 * [taylor]: Taking taylor expansion of x in x 5.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.781 * [taylor]: Taking taylor expansion of x in x 5.784 * [taylor]: Taking taylor expansion of 1.0 in x 5.800 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 5.800 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 5.800 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 5.800 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.800 * [taylor]: Taking taylor expansion of 1.0 in x 5.800 * [taylor]: Taking taylor expansion of 1.0 in x 5.800 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.800 * [taylor]: Taking taylor expansion of -0.5 in x 5.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.801 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.801 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.801 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.801 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.801 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.801 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.801 * [taylor]: Taking taylor expansion of -1 in x 5.801 * [taylor]: Taking taylor expansion of x in x 5.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.801 * [taylor]: Taking taylor expansion of -1 in x 5.801 * [taylor]: Taking taylor expansion of x in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 5.804 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 5.804 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 5.804 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 5.804 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.804 * [taylor]: Taking taylor expansion of -0.5 in x 5.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 5.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.804 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.805 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.805 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.805 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.805 * [taylor]: Taking taylor expansion of 1.0 in x 5.805 * [taylor]: Taking taylor expansion of 1.0 in x 5.805 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.805 * [taylor]: Taking taylor expansion of -1 in x 5.805 * [taylor]: Taking taylor expansion of x in x 5.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.805 * [taylor]: Taking taylor expansion of -1 in x 5.805 * [taylor]: Taking taylor expansion of x in x 5.808 * [taylor]: Taking taylor expansion of 1.0 in x 5.824 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.824 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 5.825 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.825 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 5.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.825 * [taylor]: Taking taylor expansion of 1.0 in x 5.825 * [taylor]: Taking taylor expansion of 1.0 in x 5.825 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.825 * [taylor]: Taking taylor expansion of -0.5 in x 5.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.825 * [taylor]: Taking taylor expansion of 1.0 in x 5.825 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.825 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.825 * [taylor]: Taking taylor expansion of 1.0 in x 5.825 * [taylor]: Taking taylor expansion of 1.0 in x 5.825 * [taylor]: Taking taylor expansion of (* x x) in x 5.825 * [taylor]: Taking taylor expansion of x in x 5.825 * [taylor]: Taking taylor expansion of x in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.828 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 5.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.828 * [taylor]: Taking taylor expansion of -0.5 in x 5.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.828 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.828 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [taylor]: Taking taylor expansion of (* x x) in x 5.828 * [taylor]: Taking taylor expansion of x in x 5.828 * [taylor]: Taking taylor expansion of x in x 5.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 5.926 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.926 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 5.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.926 * [taylor]: Taking taylor expansion of -0.5 in x 5.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.926 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.926 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.927 * [taylor]: Taking taylor expansion of x in x 5.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.927 * [taylor]: Taking taylor expansion of x in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.930 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 5.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.930 * [taylor]: Taking taylor expansion of -0.5 in x 5.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.930 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.930 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of 1.0 in x 5.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.930 * [taylor]: Taking taylor expansion of x in x 5.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.931 * [taylor]: Taking taylor expansion of x in x 5.934 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 5.951 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 5.951 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 5.951 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.951 * [taylor]: Taking taylor expansion of -0.5 in x 5.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.951 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.951 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.951 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.951 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.951 * [taylor]: Taking taylor expansion of -1 in x 5.951 * [taylor]: Taking taylor expansion of x in x 5.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.952 * [taylor]: Taking taylor expansion of -1 in x 5.952 * [taylor]: Taking taylor expansion of x in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 5.955 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 5.955 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.955 * [taylor]: Taking taylor expansion of -0.5 in x 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.955 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.955 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.955 * [taylor]: Taking taylor expansion of -1 in x 5.955 * [taylor]: Taking taylor expansion of x in x 5.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.956 * [taylor]: Taking taylor expansion of -1 in x 5.956 * [taylor]: Taking taylor expansion of x in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.975 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 5.975 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.975 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.975 * [taylor]: Taking taylor expansion of 0.5 in x 5.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.975 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.976 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.976 * [taylor]: Taking taylor expansion of 1.0 in x 5.976 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.976 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.976 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.976 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.976 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.976 * [taylor]: Taking taylor expansion of 1.0 in x 5.976 * [taylor]: Taking taylor expansion of 1.0 in x 5.976 * [taylor]: Taking taylor expansion of (* x x) in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.979 * [taylor]: Taking taylor expansion of 1.0 in x 5.984 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.984 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.984 * [taylor]: Taking taylor expansion of 0.5 in x 5.985 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.985 * [taylor]: Taking taylor expansion of 1.0 in x 5.985 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.985 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.985 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.985 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.985 * [taylor]: Taking taylor expansion of 1.0 in x 5.985 * [taylor]: Taking taylor expansion of 1.0 in x 5.985 * [taylor]: Taking taylor expansion of (* x x) in x 5.985 * [taylor]: Taking taylor expansion of x in x 5.985 * [taylor]: Taking taylor expansion of x in x 5.988 * [taylor]: Taking taylor expansion of 1.0 in x 6.172 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 6.172 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.172 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.172 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.172 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.172 * [taylor]: Taking taylor expansion of 1.0 in x 6.172 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.172 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.172 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.172 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.173 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.173 * [taylor]: Taking taylor expansion of 1.0 in x 6.173 * [taylor]: Taking taylor expansion of 1.0 in x 6.173 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.173 * [taylor]: Taking taylor expansion of x in x 6.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.173 * [taylor]: Taking taylor expansion of x in x 6.176 * [taylor]: Taking taylor expansion of 1.0 in x 6.178 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.178 * [taylor]: Taking taylor expansion of 0.5 in x 6.179 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.179 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.179 * [taylor]: Taking taylor expansion of 1.0 in x 6.179 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.179 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.179 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.179 * [taylor]: Taking taylor expansion of 1.0 in x 6.179 * [taylor]: Taking taylor expansion of 1.0 in x 6.179 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.179 * [taylor]: Taking taylor expansion of x in x 6.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.179 * [taylor]: Taking taylor expansion of x in x 6.183 * [taylor]: Taking taylor expansion of 1.0 in x 6.184 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.184 * [taylor]: Taking taylor expansion of 0.5 in x 6.207 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 6.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.207 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.207 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.207 * [taylor]: Taking taylor expansion of -1 in x 6.207 * [taylor]: Taking taylor expansion of x in x 6.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.207 * [taylor]: Taking taylor expansion of -1 in x 6.207 * [taylor]: Taking taylor expansion of x in x 6.210 * [taylor]: Taking taylor expansion of 1.0 in x 6.212 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.212 * [taylor]: Taking taylor expansion of 0.5 in x 6.213 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.213 * [taylor]: Taking taylor expansion of 1.0 in x 6.213 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.213 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.213 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.213 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.213 * [taylor]: Taking taylor expansion of 1.0 in x 6.213 * [taylor]: Taking taylor expansion of 1.0 in x 6.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.213 * [taylor]: Taking taylor expansion of -1 in x 6.213 * [taylor]: Taking taylor expansion of x in x 6.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.214 * [taylor]: Taking taylor expansion of -1 in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.219 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.219 * [taylor]: Taking taylor expansion of 0.5 in x 6.241 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.242 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 6.242 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.242 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.242 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 6.242 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.242 * [taylor]: Taking taylor expansion of 1.0 in x 6.242 * [taylor]: Taking taylor expansion of 1.0 in x 6.242 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.242 * [taylor]: Taking taylor expansion of -0.5 in x 6.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.242 * [taylor]: Taking taylor expansion of 1.0 in x 6.242 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.242 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.242 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.242 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.242 * [taylor]: Taking taylor expansion of 1.0 in x 6.242 * [taylor]: Taking taylor expansion of 1.0 in x 6.242 * [taylor]: Taking taylor expansion of (* x x) in x 6.242 * [taylor]: Taking taylor expansion of x in x 6.242 * [taylor]: Taking taylor expansion of x in x 6.245 * [taylor]: Taking taylor expansion of 1.0 in x 6.245 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.245 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.245 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.245 * [taylor]: Taking taylor expansion of 0.5 in x 6.246 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.246 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.246 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.246 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.246 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.246 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [taylor]: Taking taylor expansion of (* x x) in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.280 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.280 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 6.280 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.280 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.280 * [taylor]: Taking taylor expansion of -0.5 in x 6.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.280 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.280 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.280 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.280 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.280 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.280 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of (* x x) in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.283 * [taylor]: Taking taylor expansion of 1.0 in x 6.283 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.283 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.283 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.283 * [taylor]: Taking taylor expansion of 0.5 in x 6.284 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.284 * [taylor]: Taking taylor expansion of 1.0 in x 6.284 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.284 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.284 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.284 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.284 * [taylor]: Taking taylor expansion of 1.0 in x 6.284 * [taylor]: Taking taylor expansion of 1.0 in x 6.284 * [taylor]: Taking taylor expansion of (* x x) in x 6.284 * [taylor]: Taking taylor expansion of x in x 6.284 * [taylor]: Taking taylor expansion of x in x 6.287 * [taylor]: Taking taylor expansion of 1.0 in x 6.293 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 7.113 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.113 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 7.113 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 7.113 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.113 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.113 * [taylor]: Taking taylor expansion of -0.5 in x 7.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.113 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.113 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.113 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.113 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.113 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [taylor]: Taking taylor expansion of 1.0 in x 7.113 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.113 * [taylor]: Taking taylor expansion of x in x 7.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.114 * [taylor]: Taking taylor expansion of x in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.117 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.117 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.120 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.122 * [taylor]: Taking taylor expansion of 0.5 in x 7.123 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.128 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 7.128 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 7.128 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.128 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.128 * [taylor]: Taking taylor expansion of -0.5 in x 7.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.128 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.128 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.129 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.129 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.129 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.129 * [taylor]: Taking taylor expansion of 1.0 in x 7.129 * [taylor]: Taking taylor expansion of 1.0 in x 7.129 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.129 * [taylor]: Taking taylor expansion of x in x 7.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.129 * [taylor]: Taking taylor expansion of x in x 7.139 * [taylor]: Taking taylor expansion of 1.0 in x 7.139 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.139 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.139 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.139 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.139 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.139 * [taylor]: Taking taylor expansion of 1.0 in x 7.139 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.139 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.139 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.139 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.139 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.139 * [taylor]: Taking taylor expansion of 1.0 in x 7.139 * [taylor]: Taking taylor expansion of 1.0 in x 7.139 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.139 * [taylor]: Taking taylor expansion of x in x 7.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.140 * [taylor]: Taking taylor expansion of x in x 7.142 * [taylor]: Taking taylor expansion of 1.0 in x 7.144 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.144 * [taylor]: Taking taylor expansion of 0.5 in x 7.145 * [taylor]: Taking taylor expansion of 1.0 in x 7.279 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 7.279 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.279 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 7.280 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 7.280 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.280 * [taylor]: Taking taylor expansion of 1.0 in x 7.280 * [taylor]: Taking taylor expansion of 1.0 in x 7.280 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.280 * [taylor]: Taking taylor expansion of -0.5 in x 7.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.280 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.280 * [taylor]: Taking taylor expansion of 1.0 in x 7.280 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.280 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.280 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.280 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.280 * [taylor]: Taking taylor expansion of 1.0 in x 7.280 * [taylor]: Taking taylor expansion of 1.0 in x 7.280 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.280 * [taylor]: Taking taylor expansion of -1 in x 7.280 * [taylor]: Taking taylor expansion of x in x 7.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.280 * [taylor]: Taking taylor expansion of -1 in x 7.280 * [taylor]: Taking taylor expansion of x in x 7.283 * [taylor]: Taking taylor expansion of 1.0 in x 7.283 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.283 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.283 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.283 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.283 * [taylor]: Taking taylor expansion of 1.0 in x 7.283 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.283 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.284 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.284 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.284 * [taylor]: Taking taylor expansion of 1.0 in x 7.284 * [taylor]: Taking taylor expansion of 1.0 in x 7.284 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.284 * [taylor]: Taking taylor expansion of -1 in x 7.284 * [taylor]: Taking taylor expansion of x in x 7.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.284 * [taylor]: Taking taylor expansion of -1 in x 7.284 * [taylor]: Taking taylor expansion of x in x 7.287 * [taylor]: Taking taylor expansion of 1.0 in x 7.289 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.289 * [taylor]: Taking taylor expansion of 0.5 in x 7.290 * [taylor]: Taking taylor expansion of 1.0 in x 7.294 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.294 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 7.295 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 7.295 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.295 * [taylor]: Taking taylor expansion of 1.0 in x 7.295 * [taylor]: Taking taylor expansion of 1.0 in x 7.295 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.295 * [taylor]: Taking taylor expansion of -0.5 in x 7.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.295 * [taylor]: Taking taylor expansion of 1.0 in x 7.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.295 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.295 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.295 * [taylor]: Taking taylor expansion of 1.0 in x 7.295 * [taylor]: Taking taylor expansion of 1.0 in x 7.295 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.295 * [taylor]: Taking taylor expansion of -1 in x 7.295 * [taylor]: Taking taylor expansion of x in x 7.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.295 * [taylor]: Taking taylor expansion of -1 in x 7.295 * [taylor]: Taking taylor expansion of x in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.305 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.305 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.305 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.305 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.305 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.306 * [taylor]: Taking taylor expansion of -1 in x 7.306 * [taylor]: Taking taylor expansion of x in x 7.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.306 * [taylor]: Taking taylor expansion of -1 in x 7.306 * [taylor]: Taking taylor expansion of x in x 7.309 * [taylor]: Taking taylor expansion of 1.0 in x 7.314 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.314 * [taylor]: Taking taylor expansion of 0.5 in x 7.315 * [taylor]: Taking taylor expansion of 1.0 in x 7.450 * * * [progress]: simplifying candidates 7.453 * [simplify]: Simplifying using # : (expm1 (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (exp (* 1.0 1.0))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (* (cbrt (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (cbrt (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (sqrt (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (sqrt (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log 1) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (exp (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (exp (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (exp 1)) (log (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (log (exp (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (log (exp (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (log (exp (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1) (/ (log (exp (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp 1)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1) (/ (log (exp 1)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1) (/ (log (exp 1)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 1) (/ (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 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1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1)) 1 (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) 7.555 * * * [progress]: adding candidates to table 7.937 * [progress]: [Phase 3 of 3] Extracting. 7.937 * * [regime]: Finding splitpoints for: (# # # #) 7.939 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 7.939 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 7.971 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 7.989 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 8.023 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 8.041 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 8.071 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 8.088 * * * * [regimes]: Trying to branch on x from (# # # #) 8.124 * * * [regime]: Found split indices: #