16.265 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.034 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.038 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.039 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.041 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.042 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.063 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.067 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.069 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (* x x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.082 * [taylor]: Taking taylor expansion of 0.5 in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (* x x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [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 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.327 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.327 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.332 * [taylor]: Taking taylor expansion of 0.5 in x 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.389 * [taylor]: Taking taylor expansion of 0.5 in x 0.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.429 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.430 * [taylor]: Taking taylor expansion of 0.5 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (* x x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* x x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.623 * [taylor]: Taking taylor expansion of 0.5 in x 0.623 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.624 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.629 * [taylor]: Taking taylor expansion of 0.5 in x 0.658 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.658 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.658 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.658 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.664 * [taylor]: Taking taylor expansion of 0.5 in x 0.665 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.671 * [taylor]: Taking taylor expansion of 0.5 in x 0.693 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.693 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.693 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.693 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.693 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (* x x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.696 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.697 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (* x x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.742 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.743 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.746 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.769 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.769 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.769 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.769 * [taylor]: Taking taylor expansion of -1 in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.770 * [taylor]: Taking taylor expansion of -1 in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.773 * [taylor]: Taking taylor expansion of -1 in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.773 * [taylor]: Taking taylor expansion of -1 in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.796 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.797 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (* x x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.799 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.799 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.799 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (* x x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.822 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.839 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.840 * [taylor]: Taking taylor expansion of -1 in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.840 * [taylor]: Taking taylor expansion of -1 in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.858 * * * [progress]: simplifying candidates 0.860 * [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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (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)))) 0.868 * * [simplify]: iteration 0 : 533 enodes (cost 1074 ) 0.876 * * [simplify]: iteration 1 : 2023 enodes (cost 830 ) 0.910 * * [simplify]: iteration 2 : 5002 enodes (cost 827 ) 0.914 * [simplify]: Simplified to: (fma (* (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))) (fma (* (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 (* 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 (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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 (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (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)))) 1.0) (fma (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)))))))) (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)))) (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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (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)))) 0.914 * * * [progress]: adding candidates to table 1.158 * * [progress]: iteration 2 / 4 1.159 * * * [progress]: picking best candidate 1.165 * * * * [pick]: Picked # 1.165 * * * [progress]: localizing error 1.178 * * * [progress]: generating rewritten candidates 1.178 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.178 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.191 * * * [progress]: generating series expansions 1.191 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.192 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.192 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.192 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.192 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.192 * [taylor]: Taking taylor expansion of 0.5 in x 1.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.192 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.192 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (* x x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.196 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.196 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.196 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.196 * [taylor]: Taking taylor expansion of 0.5 in x 1.196 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.196 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.196 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.196 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.196 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (* x x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.294 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.294 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.298 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.298 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.298 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.298 * [taylor]: Taking taylor expansion of 0.5 in x 1.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.320 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.321 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.321 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.321 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.321 * [taylor]: Taking taylor expansion of 0.5 in x 1.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.324 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.325 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.325 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.325 * [taylor]: Taking taylor expansion of 0.5 in x 1.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.346 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.346 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.346 * [taylor]: Taking taylor expansion of 0.5 in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.347 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.347 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (* x x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.356 * [taylor]: Taking taylor expansion of 0.5 in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.357 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.357 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (* x x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.549 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.555 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.555 * [taylor]: Taking taylor expansion of 0.5 in x 1.556 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.556 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.556 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.561 * [taylor]: Taking taylor expansion of 0.5 in x 1.586 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.586 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.586 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.586 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.586 * [taylor]: Taking taylor expansion of -1 in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.586 * [taylor]: Taking taylor expansion of -1 in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.592 * [taylor]: Taking taylor expansion of 0.5 in x 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.598 * [taylor]: Taking taylor expansion of 0.5 in x 1.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.623 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (* x x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.626 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.626 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (* x x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.673 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.673 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.677 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.700 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.700 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.700 * [taylor]: Taking taylor expansion of 1.0 in x 1.700 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.700 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.700 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.700 * [taylor]: Taking taylor expansion of 1.0 in x 1.700 * [taylor]: Taking taylor expansion of 1.0 in x 1.700 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.700 * [taylor]: Taking taylor expansion of -1 in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.701 * [taylor]: Taking taylor expansion of -1 in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.704 * [taylor]: Taking taylor expansion of -1 in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.736 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.736 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.736 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (* x x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.740 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (* x x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.781 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.781 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.785 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.785 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.785 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.785 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.816 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.816 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.816 * [taylor]: Taking taylor expansion of -1 in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.816 * [taylor]: Taking taylor expansion of -1 in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.820 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.820 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.820 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.820 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.845 * * * [progress]: simplifying candidates 1.846 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 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)) (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)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 1.852 * * [simplify]: iteration 0 : 416 enodes (cost 641 ) 1.859 * * [simplify]: iteration 1 : 1548 enodes (cost 607 ) 1.887 * * [simplify]: iteration 2 : 5001 enodes (cost 600 ) 1.890 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)) (- (+ (* (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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 1.891 * * * [progress]: adding candidates to table 2.218 * * [progress]: iteration 3 / 4 2.218 * * * [progress]: picking best candidate 2.236 * * * * [pick]: Picked # 2.236 * * * [progress]: localizing error 2.251 * * * [progress]: generating rewritten candidates 2.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.268 * * * [progress]: generating series expansions 2.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.269 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.269 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.269 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.269 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.269 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.269 * [taylor]: Taking taylor expansion of 0.5 in x 2.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.269 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.269 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of (* x x) in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.272 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.273 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.273 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.273 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.273 * [taylor]: Taking taylor expansion of 0.5 in x 2.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.273 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (* x x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.367 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.367 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.367 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.367 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.367 * [taylor]: Taking taylor expansion of 0.5 in x 2.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.371 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.371 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.371 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.371 * [taylor]: Taking taylor expansion of 0.5 in x 2.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.371 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.371 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.399 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.399 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.399 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.399 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.399 * [taylor]: Taking taylor expansion of 0.5 in x 2.399 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.399 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.399 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.399 * [taylor]: Taking taylor expansion of -1 in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.400 * [taylor]: Taking taylor expansion of -1 in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.403 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.403 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.403 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.403 * [taylor]: Taking taylor expansion of 0.5 in x 2.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.403 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.403 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.403 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.403 * [taylor]: Taking taylor expansion of -1 in x 2.403 * [taylor]: Taking taylor expansion of x in x 2.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.404 * [taylor]: Taking taylor expansion of -1 in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.425 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.425 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.425 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.425 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.425 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.425 * [taylor]: Taking taylor expansion of 0.5 in x 2.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.425 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.425 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of (* x x) in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.429 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.429 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.429 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.429 * [taylor]: Taking taylor expansion of 0.5 in x 2.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.429 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of (* x x) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.526 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.526 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.526 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.526 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.526 * [taylor]: Taking taylor expansion of 0.5 in x 2.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.526 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.530 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.530 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.530 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.530 * [taylor]: Taking taylor expansion of 0.5 in x 2.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.530 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.530 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.530 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.552 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.552 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.552 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.552 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.552 * [taylor]: Taking taylor expansion of 0.5 in x 2.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.552 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.552 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.552 * [taylor]: Taking taylor expansion of -1 in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.553 * [taylor]: Taking taylor expansion of -1 in x 2.553 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.556 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.556 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.556 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.556 * [taylor]: Taking taylor expansion of 0.5 in x 2.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.556 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.556 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.556 * [taylor]: Taking taylor expansion of -1 in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.557 * [taylor]: Taking taylor expansion of -1 in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.566 * [taylor]: Taking taylor expansion of 1.0 in x 2.566 * [taylor]: Taking taylor expansion of 1.0 in x 2.584 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.585 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.585 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.586 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.586 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.586 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.586 * [taylor]: Taking taylor expansion of 0.5 in x 2.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.586 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.586 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (* x x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.589 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.589 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.589 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.589 * [taylor]: Taking taylor expansion of 0.5 in x 2.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.589 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.589 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (* x x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.592 * [taylor]: Taking taylor expansion of 1.0 in x 2.592 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.684 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.685 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.685 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.685 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.685 * [taylor]: Taking taylor expansion of 0.5 in x 2.685 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.685 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.685 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.688 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.688 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.688 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.688 * [taylor]: Taking taylor expansion of 0.5 in x 2.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.688 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.711 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.711 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.711 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.711 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.711 * [taylor]: Taking taylor expansion of 0.5 in x 2.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.711 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.711 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.711 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.711 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.711 * [taylor]: Taking taylor expansion of -1 in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.712 * [taylor]: Taking taylor expansion of -1 in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.715 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.715 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.715 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.715 * [taylor]: Taking taylor expansion of 0.5 in x 2.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.715 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.715 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.715 * [taylor]: Taking taylor expansion of -1 in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.716 * [taylor]: Taking taylor expansion of -1 in x 2.716 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.742 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 2.742 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.742 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.742 * [taylor]: Taking taylor expansion of 0.5 in x 2.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.743 * [taylor]: Taking taylor expansion of 1.0 in x 2.743 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.743 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.743 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.743 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.743 * [taylor]: Taking taylor expansion of 1.0 in x 2.743 * [taylor]: Taking taylor expansion of 1.0 in x 2.743 * [taylor]: Taking taylor expansion of (* x x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.758 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.758 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.758 * [taylor]: Taking taylor expansion of 0.5 in x 2.759 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.759 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.759 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.759 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (* x x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.764 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.131 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.131 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.131 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.131 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.135 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.137 * [taylor]: Taking taylor expansion of 0.5 in x 3.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.138 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.138 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.138 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.138 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.138 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.141 * [taylor]: Taking taylor expansion of 1.0 in x 3.143 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.143 * [taylor]: Taking taylor expansion of 0.5 in x 3.166 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.166 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.167 * [taylor]: Taking taylor expansion of -1 in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.171 * [taylor]: Taking taylor expansion of -1 in x 3.171 * [taylor]: Taking taylor expansion of x in x 3.174 * [taylor]: Taking taylor expansion of 1.0 in x 3.176 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.176 * [taylor]: Taking taylor expansion of 0.5 in x 3.177 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.177 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.177 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.177 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.177 * [taylor]: Taking taylor expansion of -1 in x 3.177 * [taylor]: Taking taylor expansion of x in x 3.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.178 * [taylor]: Taking taylor expansion of -1 in x 3.178 * [taylor]: Taking taylor expansion of x in x 3.181 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.183 * [taylor]: Taking taylor expansion of 0.5 in x 3.206 * * * [progress]: simplifying candidates 3.208 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1 1) (+ (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 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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)) (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)))))) 3.215 * * [simplify]: iteration 0 : 383 enodes (cost 977 ) 3.223 * * [simplify]: iteration 1 : 1627 enodes (cost 857 ) 3.254 * * [simplify]: iteration 2 : 5002 enodes (cost 826 ) 3.258 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 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0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 4) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 2 1 (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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)))))) (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 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))))))) 3.258 * * * [progress]: adding candidates to table 3.555 * * [progress]: iteration 4 / 4 3.555 * * * [progress]: picking best candidate 3.576 * * * * [pick]: Picked # 3.576 * * * [progress]: localizing error 3.596 * * * [progress]: generating rewritten candidates 3.596 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 3.596 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.618 * * * [progress]: generating series expansions 3.618 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.619 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.619 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.619 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.619 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.619 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.619 * [taylor]: Taking taylor expansion of 0.5 in x 3.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.619 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.619 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.619 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [taylor]: Taking taylor expansion of (* x x) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.622 * [taylor]: Taking taylor expansion of 1.0 in x 3.622 * [taylor]: Taking taylor expansion of 1.0 in x 3.622 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.622 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.622 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.623 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.623 * [taylor]: Taking taylor expansion of 0.5 in x 3.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.623 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of (* x x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.626 * [taylor]: Taking taylor expansion of 1.0 in x 3.626 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.714 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.714 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.714 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.714 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.714 * [taylor]: Taking taylor expansion of 0.5 in x 3.714 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.714 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.714 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.714 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.714 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.714 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.714 * [taylor]: Taking taylor expansion of x in x 3.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.714 * [taylor]: Taking taylor expansion of x in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.718 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.718 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.718 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.718 * [taylor]: Taking taylor expansion of 0.5 in x 3.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.718 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.718 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.718 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.718 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.718 * [taylor]: Taking taylor expansion of x in x 3.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.718 * [taylor]: Taking taylor expansion of x in x 3.721 * [taylor]: Taking taylor expansion of 1.0 in x 3.721 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.740 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.740 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.740 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.740 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.740 * [taylor]: Taking taylor expansion of 0.5 in x 3.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.740 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.740 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.740 * [taylor]: Taking taylor expansion of -1 in x 3.740 * [taylor]: Taking taylor expansion of x in x 3.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.741 * [taylor]: Taking taylor expansion of -1 in x 3.741 * [taylor]: Taking taylor expansion of x in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.744 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.744 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.744 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.744 * [taylor]: Taking taylor expansion of 0.5 in x 3.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.744 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.744 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.744 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.744 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.744 * [taylor]: Taking taylor expansion of -1 in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.745 * [taylor]: Taking taylor expansion of -1 in x 3.745 * [taylor]: Taking taylor expansion of x in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.768 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 3.769 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.769 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.769 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.769 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.769 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.769 * [taylor]: Taking taylor expansion of 0.5 in x 3.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.769 * [taylor]: Taking taylor expansion of 1.0 in x 3.769 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.769 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.769 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.769 * [taylor]: Taking taylor expansion of 1.0 in x 3.769 * [taylor]: Taking taylor expansion of 1.0 in x 3.769 * [taylor]: Taking taylor expansion of (* x x) in x 3.769 * [taylor]: Taking taylor expansion of x in x 3.769 * [taylor]: Taking taylor expansion of x in x 3.772 * [taylor]: Taking taylor expansion of 1.0 in x 3.772 * [taylor]: Taking taylor expansion of 1.0 in x 3.772 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.772 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.772 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.773 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.773 * [taylor]: Taking taylor expansion of 0.5 in x 3.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.773 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.773 * [taylor]: Taking taylor expansion of 1.0 in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.773 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.773 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.773 * [taylor]: Taking taylor expansion of 1.0 in x 3.773 * [taylor]: Taking taylor expansion of 1.0 in x 3.773 * [taylor]: Taking taylor expansion of (* x x) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.776 * [taylor]: Taking taylor expansion of 1.0 in x 3.776 * [taylor]: Taking taylor expansion of 1.0 in x 3.864 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.864 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.865 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.865 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.865 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.865 * [taylor]: Taking taylor expansion of 0.5 in x 3.865 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.865 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.865 * [taylor]: Taking taylor expansion of 1.0 in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.865 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.865 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.865 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.865 * [taylor]: Taking taylor expansion of 1.0 in x 3.865 * [taylor]: Taking taylor expansion of 1.0 in x 3.865 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.865 * [taylor]: Taking taylor expansion of x in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.869 * [taylor]: Taking taylor expansion of 1.0 in x 3.869 * [taylor]: Taking taylor expansion of 1.0 in x 3.869 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.869 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.869 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.869 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.869 * [taylor]: Taking taylor expansion of 0.5 in x 3.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.869 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.869 * [taylor]: Taking taylor expansion of 1.0 in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.869 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.869 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.869 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.869 * [taylor]: Taking taylor expansion of 1.0 in x 3.869 * [taylor]: Taking taylor expansion of 1.0 in x 3.869 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.869 * [taylor]: Taking taylor expansion of x in x 3.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.870 * [taylor]: Taking taylor expansion of x in x 3.873 * [taylor]: Taking taylor expansion of 1.0 in x 3.873 * [taylor]: Taking taylor expansion of 1.0 in x 3.891 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.891 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.891 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.891 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.891 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.891 * [taylor]: Taking taylor expansion of 0.5 in x 3.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.891 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.891 * [taylor]: Taking taylor expansion of 1.0 in x 3.891 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.891 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.891 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.891 * [taylor]: Taking taylor expansion of 1.0 in x 3.891 * [taylor]: Taking taylor expansion of 1.0 in x 3.891 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.891 * [taylor]: Taking taylor expansion of -1 in x 3.891 * [taylor]: Taking taylor expansion of x in x 3.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.892 * [taylor]: Taking taylor expansion of -1 in x 3.892 * [taylor]: Taking taylor expansion of x in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.895 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.895 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.895 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.895 * [taylor]: Taking taylor expansion of 0.5 in x 3.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.895 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.895 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.895 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.895 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.895 * [taylor]: Taking taylor expansion of -1 in x 3.895 * [taylor]: Taking taylor expansion of x in x 3.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.896 * [taylor]: Taking taylor expansion of -1 in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.899 * [taylor]: Taking taylor expansion of 1.0 in x 3.899 * [taylor]: Taking taylor expansion of 1.0 in x 3.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.917 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.917 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.917 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.917 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.917 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.917 * [taylor]: Taking taylor expansion of 0.5 in x 3.917 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.917 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.917 * [taylor]: Taking taylor expansion of 1.0 in x 3.917 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.917 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.918 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.918 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.918 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.918 * [taylor]: Taking taylor expansion of 1.0 in x 3.918 * [taylor]: Taking taylor expansion of 1.0 in x 3.918 * [taylor]: Taking taylor expansion of (* x x) in x 3.918 * [taylor]: Taking taylor expansion of x in x 3.918 * [taylor]: Taking taylor expansion of x in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.921 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.921 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.921 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.921 * [taylor]: Taking taylor expansion of 0.5 in x 3.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.921 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.921 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.921 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [taylor]: Taking taylor expansion of (* x x) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.927 * [taylor]: Taking taylor expansion of 1.0 in x 3.927 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.017 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.017 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.017 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.017 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.017 * [taylor]: Taking taylor expansion of 0.5 in x 4.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.017 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.017 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.017 * [taylor]: Taking taylor expansion of x in x 4.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.018 * [taylor]: Taking taylor expansion of x in x 4.021 * [taylor]: Taking taylor expansion of 1.0 in x 4.021 * [taylor]: Taking taylor expansion of 1.0 in x 4.021 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.021 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.021 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.021 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.021 * [taylor]: Taking taylor expansion of 0.5 in x 4.021 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.021 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.021 * [taylor]: Taking taylor expansion of 1.0 in x 4.021 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.021 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.021 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.021 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.021 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.021 * [taylor]: Taking taylor expansion of 1.0 in x 4.021 * [taylor]: Taking taylor expansion of 1.0 in x 4.021 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.022 * [taylor]: Taking taylor expansion of x in x 4.025 * [taylor]: Taking taylor expansion of 1.0 in x 4.025 * [taylor]: Taking taylor expansion of 1.0 in x 4.043 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.043 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.044 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.044 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.044 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.044 * [taylor]: Taking taylor expansion of 0.5 in x 4.044 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.044 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.044 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.044 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.044 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.044 * [taylor]: Taking taylor expansion of -1 in x 4.044 * [taylor]: Taking taylor expansion of x in x 4.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.044 * [taylor]: Taking taylor expansion of -1 in x 4.044 * [taylor]: Taking taylor expansion of x in x 4.047 * [taylor]: Taking taylor expansion of 1.0 in x 4.047 * [taylor]: Taking taylor expansion of 1.0 in x 4.047 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.048 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.048 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.048 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.048 * [taylor]: Taking taylor expansion of 0.5 in x 4.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.048 * [taylor]: Taking taylor expansion of 1.0 in x 4.048 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.048 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.048 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.048 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.048 * [taylor]: Taking taylor expansion of 1.0 in x 4.048 * [taylor]: Taking taylor expansion of 1.0 in x 4.048 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.048 * [taylor]: Taking taylor expansion of -1 in x 4.048 * [taylor]: Taking taylor expansion of x in x 4.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.048 * [taylor]: Taking taylor expansion of -1 in x 4.048 * [taylor]: Taking taylor expansion of x in x 4.051 * [taylor]: Taking taylor expansion of 1.0 in x 4.051 * [taylor]: Taking taylor expansion of 1.0 in x 4.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.071 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 4.071 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.071 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.071 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.071 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.071 * [taylor]: Taking taylor expansion of 0.5 in x 4.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.071 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [taylor]: Taking taylor expansion of (* x x) in x 4.071 * [taylor]: Taking taylor expansion of x in x 4.071 * [taylor]: Taking taylor expansion of x in x 4.074 * [taylor]: Taking taylor expansion of 1.0 in x 4.074 * [taylor]: Taking taylor expansion of 1.0 in x 4.074 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.074 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.074 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.074 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.074 * [taylor]: Taking taylor expansion of 0.5 in x 4.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.074 * [taylor]: Taking taylor expansion of 1.0 in x 4.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.074 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.074 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.075 * [taylor]: Taking taylor expansion of (* x x) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.077 * [taylor]: Taking taylor expansion of 1.0 in x 4.077 * [taylor]: Taking taylor expansion of 1.0 in x 4.166 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.166 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.167 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.167 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.167 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.167 * [taylor]: Taking taylor expansion of 0.5 in x 4.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.167 * [taylor]: Taking taylor expansion of x in x 4.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.167 * [taylor]: Taking taylor expansion of x in x 4.173 * [taylor]: Taking taylor expansion of 1.0 in x 4.173 * [taylor]: Taking taylor expansion of 1.0 in x 4.173 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.174 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.174 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.174 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.174 * [taylor]: Taking taylor expansion of 0.5 in x 4.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.174 * [taylor]: Taking taylor expansion of 1.0 in x 4.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.174 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.174 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.174 * [taylor]: Taking taylor expansion of 1.0 in x 4.174 * [taylor]: Taking taylor expansion of 1.0 in x 4.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.177 * [taylor]: Taking taylor expansion of 1.0 in x 4.197 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.197 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.197 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.197 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.197 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.197 * [taylor]: Taking taylor expansion of 0.5 in x 4.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.197 * [taylor]: Taking taylor expansion of 1.0 in x 4.197 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.197 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.197 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.197 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.197 * [taylor]: Taking taylor expansion of 1.0 in x 4.197 * [taylor]: Taking taylor expansion of 1.0 in x 4.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.197 * [taylor]: Taking taylor expansion of -1 in x 4.197 * [taylor]: Taking taylor expansion of x in x 4.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.197 * [taylor]: Taking taylor expansion of -1 in x 4.197 * [taylor]: Taking taylor expansion of x in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.201 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.201 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.201 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.201 * [taylor]: Taking taylor expansion of 0.5 in x 4.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.201 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.201 * [taylor]: Taking taylor expansion of -1 in x 4.201 * [taylor]: Taking taylor expansion of x in x 4.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.201 * [taylor]: Taking taylor expansion of -1 in x 4.201 * [taylor]: Taking taylor expansion of x in x 4.204 * [taylor]: Taking taylor expansion of 1.0 in x 4.205 * [taylor]: Taking taylor expansion of 1.0 in x 4.222 * * * [progress]: simplifying candidates 4.224 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (log1p (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (log (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (exp (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt (pow (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3)) (cbrt (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (cbrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt (pow (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3)) (cbrt (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt 1) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 3 2))) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 3 2))) (* (cbrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (cbrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (* (* (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (expm1 (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ (log (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (* (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 3))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 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1.0)) 3))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) 4.233 * * [simplify]: iteration 0 : 259 enodes (cost 1454 ) 4.237 * * [simplify]: iteration 1 : 916 enodes (cost 1211 ) 4.257 * * [simplify]: iteration 2 : 4917 enodes (cost 1169 ) 4.381 * * [simplify]: iteration 3 : 5001 enodes (cost 1169 ) 4.387 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 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1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 4) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 4) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (pow (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 4) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3/2))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3/2))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3/2))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3/2))) (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (sqrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (cbrt (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3/2))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (pow (sqrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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 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)) 4.388 * * * [progress]: adding candidates to table 4.749 * [progress]: [Phase 3 of 3] Extracting. 4.749 * * [regime]: Finding splitpoints for: (# # # # #) 4.751 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 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)))))) x) 4.752 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 4.789 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 4.808 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 4.847 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 4.869 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 4.902 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 4.922 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # #) 4.955 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # #) 4.993 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # #) 5.031 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.074 * * * [regime]: Found split indices: #