19.757 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.056 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.057 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.058 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.059 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.061 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.062 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.064 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.064 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.086 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.097 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.098 * [taylor]: Taking taylor expansion of 0.5 in x 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.099 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.099 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.099 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.099 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.099 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.109 * [taylor]: Taking taylor expansion of 0.5 in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.109 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.109 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.110 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (* x x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.375 * [taylor]: Taking taylor expansion of 0.5 in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.375 * [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 x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.381 * [taylor]: Taking taylor expansion of 0.5 in x 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.425 * [taylor]: Taking taylor expansion of 0.5 in x 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.476 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.476 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.476 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.476 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.476 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (* x x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.479 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.479 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (* x x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.527 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.557 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.557 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.561 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.584 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.585 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.585 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.585 * [taylor]: Taking taylor expansion of 0.5 in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.585 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.586 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (* x x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.595 * [taylor]: Taking taylor expansion of 0.5 in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.596 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.596 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.596 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (* x x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.799 * [taylor]: Taking taylor expansion of 0.5 in x 0.800 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.831 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.831 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.831 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.837 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.838 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.844 * [taylor]: Taking taylor expansion of 0.5 in x 0.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.874 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.874 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.874 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (* x x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.878 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.878 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.878 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of (* x x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.940 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.940 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.940 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.944 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.965 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.965 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.965 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.965 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.969 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.969 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.969 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.969 * [taylor]: Taking taylor expansion of -1 in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.969 * [taylor]: Taking taylor expansion of -1 in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * * * [progress]: simplifying candidates 0.985 * [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 (/ 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 (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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (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))) (- (+ (* 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 (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))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 0.993 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 1.003 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 1.038 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 1.043 * [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 (/ 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 (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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (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 (- 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 (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 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 1.044 * * * [progress]: adding candidates to table 1.509 * * [progress]: iteration 2 / 4 1.509 * * * [progress]: picking best candidate 1.519 * * * * [pick]: Picked # 1.519 * * * [progress]: localizing error 1.532 * * * [progress]: generating rewritten candidates 1.532 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.538 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.545 * * * [progress]: generating series expansions 1.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.546 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.546 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.546 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.546 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.546 * [taylor]: Taking taylor expansion of 0.5 in x 1.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.546 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.547 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.547 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of (* x x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.550 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.550 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.550 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.550 * [taylor]: Taking taylor expansion of 0.5 in x 1.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.551 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.551 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.551 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (* x x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.651 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.651 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.651 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.651 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.651 * [taylor]: Taking taylor expansion of 0.5 in x 1.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.651 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.651 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.655 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.655 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.655 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.655 * [taylor]: Taking taylor expansion of 0.5 in x 1.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.655 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.677 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.677 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.678 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.678 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.678 * [taylor]: Taking taylor expansion of 0.5 in x 1.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.678 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.678 * [taylor]: Taking taylor expansion of -1 in x 1.678 * [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 -1 in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.682 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.682 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.682 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.682 * [taylor]: Taking taylor expansion of 0.5 in x 1.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.682 * [taylor]: Taking taylor expansion of -1 in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.682 * [taylor]: Taking taylor expansion of -1 in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.706 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.706 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.706 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.706 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.706 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.706 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.706 * [taylor]: Taking taylor expansion of 0.5 in x 1.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.706 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.706 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of (* x x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.710 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.710 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.710 * [taylor]: Taking taylor expansion of 0.5 in x 1.710 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.711 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [taylor]: Taking taylor expansion of (* x x) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.743 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.743 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.743 * [taylor]: Taking taylor expansion of 0.5 in x 1.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.743 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.743 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.743 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (* x x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.746 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.746 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.746 * [taylor]: Taking taylor expansion of 0.5 in x 1.747 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.747 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.747 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.747 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.747 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (* x x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 2.582 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.582 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.582 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.583 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.583 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.583 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.583 * [taylor]: Taking taylor expansion of 0.5 in x 2.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.583 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.583 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.587 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.593 * [taylor]: Taking taylor expansion of 0.5 in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.599 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.599 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.599 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.599 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.599 * [taylor]: Taking taylor expansion of 0.5 in x 2.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.603 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.603 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.603 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.603 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.603 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.603 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.603 * [taylor]: Taking taylor expansion of x in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.603 * [taylor]: Taking taylor expansion of x in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.613 * [taylor]: Taking taylor expansion of 0.5 in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.754 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.755 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.755 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.755 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.755 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.755 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.755 * [taylor]: Taking taylor expansion of 0.5 in x 2.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.755 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.755 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.755 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.755 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.755 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.755 * [taylor]: Taking taylor expansion of -1 in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.756 * [taylor]: Taking taylor expansion of -1 in x 2.756 * [taylor]: Taking taylor expansion of x 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 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.760 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.760 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.760 * [taylor]: Taking taylor expansion of -1 in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.760 * [taylor]: Taking taylor expansion of -1 in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.763 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.766 * [taylor]: Taking taylor expansion of 0.5 in x 2.766 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.772 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.772 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.772 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.772 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.772 * [taylor]: Taking taylor expansion of 0.5 in x 2.772 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.772 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.772 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.772 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.772 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.772 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.772 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.772 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.772 * [taylor]: Taking taylor expansion of -1 in x 2.772 * [taylor]: Taking taylor expansion of x in x 2.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.773 * [taylor]: Taking taylor expansion of -1 in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.779 * [taylor]: Taking taylor expansion of 1.0 in x 2.779 * [taylor]: Taking taylor expansion of 1.0 in x 2.779 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.780 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.780 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.780 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.780 * [taylor]: Taking taylor expansion of -1 in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.780 * [taylor]: Taking taylor expansion of -1 in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.786 * [taylor]: Taking taylor expansion of 0.5 in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.925 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 2.925 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.925 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.925 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.925 * [taylor]: Taking taylor expansion of 0.5 in x 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.926 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.926 * [taylor]: Taking taylor expansion of 1.0 in x 2.926 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.926 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.926 * [taylor]: Taking taylor expansion of 1.0 in x 2.926 * [taylor]: Taking taylor expansion of 1.0 in x 2.926 * [taylor]: Taking taylor expansion of (* x x) in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.935 * [taylor]: Taking taylor expansion of 1.0 in x 2.935 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.935 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.935 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.935 * [taylor]: Taking taylor expansion of 0.5 in x 2.936 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.936 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.936 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.936 * [taylor]: Taking taylor expansion of 1.0 in x 2.936 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.936 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.936 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.936 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.936 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.936 * [taylor]: Taking taylor expansion of 1.0 in x 2.936 * [taylor]: Taking taylor expansion of 1.0 in x 2.936 * [taylor]: Taking taylor expansion of (* x x) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.939 * [taylor]: Taking taylor expansion of 1.0 in x 2.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 3.159 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.159 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.159 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.159 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.159 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.165 * [taylor]: Taking taylor expansion of 0.5 in x 3.165 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.165 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.165 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.165 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.166 * [taylor]: Taking taylor expansion of x in x 3.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.166 * [taylor]: Taking taylor expansion of x in x 3.169 * [taylor]: Taking taylor expansion of 1.0 in x 3.171 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.171 * [taylor]: Taking taylor expansion of 0.5 in x 3.172 * [taylor]: Taking taylor expansion of 1.0 in x 3.207 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 3.207 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.207 * [taylor]: Taking taylor expansion of 1.0 in x 3.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.207 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.207 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.207 * [taylor]: Taking taylor expansion of 1.0 in x 3.207 * [taylor]: Taking taylor expansion of 1.0 in x 3.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.207 * [taylor]: Taking taylor expansion of -1 in x 3.207 * [taylor]: Taking taylor expansion of x in x 3.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.207 * [taylor]: Taking taylor expansion of -1 in x 3.207 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of 1.0 in x 3.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.213 * [taylor]: Taking taylor expansion of 0.5 in x 3.213 * [taylor]: Taking taylor expansion of 1.0 in x 3.213 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.214 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.214 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.214 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.214 * [taylor]: Taking taylor expansion of -1 in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.214 * [taylor]: Taking taylor expansion of -1 in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.217 * [taylor]: Taking taylor expansion of 1.0 in x 3.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.220 * [taylor]: Taking taylor expansion of 0.5 in x 3.220 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 3.252 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.252 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.253 * [taylor]: Taking taylor expansion of 1.0 in x 3.253 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.253 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.253 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.253 * [taylor]: Taking taylor expansion of 1.0 in x 3.253 * [taylor]: Taking taylor expansion of 1.0 in x 3.253 * [taylor]: Taking taylor expansion of (* x x) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.256 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.256 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [taylor]: Taking taylor expansion of (* x x) in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.303 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.303 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.303 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.306 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.306 * [taylor]: Taking taylor expansion of 1.0 in x 3.307 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.307 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.307 * [taylor]: Taking taylor expansion of 1.0 in x 3.307 * [taylor]: Taking taylor expansion of 1.0 in x 3.307 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.307 * [taylor]: Taking taylor expansion of x in x 3.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.307 * [taylor]: Taking taylor expansion of x in x 3.332 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.332 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.332 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.332 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.332 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.332 * [taylor]: Taking taylor expansion of -1 in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.333 * [taylor]: Taking taylor expansion of -1 in x 3.333 * [taylor]: Taking taylor expansion of x in x 3.336 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.336 * [taylor]: Taking taylor expansion of 1.0 in x 3.336 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.336 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.336 * [taylor]: Taking taylor expansion of 1.0 in x 3.336 * [taylor]: Taking taylor expansion of 1.0 in x 3.336 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.336 * [taylor]: Taking taylor expansion of -1 in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.337 * [taylor]: Taking taylor expansion of -1 in x 3.337 * [taylor]: Taking taylor expansion of x in x 3.361 * * * [progress]: simplifying candidates 3.363 * [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)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (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)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 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)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (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)))))))) (/ (* (* (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))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 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)))))))) (cbrt (/ (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))))))))) (cbrt (/ (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)))))))) (* (* (/ (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))))))) (/ (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)))))))) (/ (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 (/ (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 (/ (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)))))))) (- (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))))))) (/ (* (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 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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)))) 1) (/ (cbrt (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))))))) (/ (* (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)))) 1) (/ (cbrt (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 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (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 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (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))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (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))))))) (/ 1 1) (/ (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))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 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 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (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) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (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 (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)))))) (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)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (+ 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))))))) (* (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)))))))) (- (* 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)))))) (+ 1.0 (sqrt 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0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (+ (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))))) (+ (* 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))))) (+ (* 0.5 (/ 1 (* (sqrt 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (+ (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 7))))) (+ (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))))))))) (- (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.0625 (/ (sqrt 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(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))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 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))))) 3.379 * * [simplify]: iteration 0 : 867 enodes (cost 1615 ) 3.397 * * [simplify]: iteration 1 : 3961 enodes (cost 1498 ) 3.461 * * [simplify]: iteration 2 : 5001 enodes (cost 1488 ) 3.468 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p 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0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 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)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (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)))))) 3.469 * * * [progress]: adding candidates to table 3.851 * * [progress]: iteration 3 / 4 3.851 * * * [progress]: picking best candidate 3.869 * * * * [pick]: Picked # 3.869 * * * [progress]: localizing error 3.884 * * * [progress]: generating rewritten candidates 3.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.892 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.895 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2) 3.899 * * * [progress]: generating series expansions 3.899 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.900 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.900 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.900 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.900 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.900 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.900 * [taylor]: Taking taylor expansion of 0.5 in x 3.900 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.900 * [taylor]: Taking taylor expansion of 1.0 in x 3.900 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.900 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.900 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.900 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.900 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.900 * [taylor]: Taking taylor expansion of 1.0 in x 3.900 * [taylor]: Taking taylor expansion of 1.0 in x 3.900 * [taylor]: Taking taylor expansion of (* x x) in x 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [taylor]: Taking taylor expansion of x in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.904 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.904 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.904 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.904 * [taylor]: Taking taylor expansion of 0.5 in x 3.904 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.904 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.904 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.904 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.904 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.904 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [taylor]: Taking taylor expansion of (* x x) in x 3.904 * [taylor]: Taking taylor expansion of x in x 3.904 * [taylor]: Taking taylor expansion of x in x 3.908 * [taylor]: Taking taylor expansion of 1.0 in x 3.908 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.004 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.004 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.004 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.004 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.004 * [taylor]: Taking taylor expansion of 0.5 in x 4.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.004 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.004 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.004 * [taylor]: Taking taylor expansion of x in x 4.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.005 * [taylor]: Taking taylor expansion of x in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.008 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.008 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.008 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.008 * [taylor]: Taking taylor expansion of 0.5 in x 4.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.008 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.008 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.012 * [taylor]: Taking taylor expansion of 1.0 in x 4.012 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.038 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.038 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.038 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.038 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.038 * [taylor]: Taking taylor expansion of 0.5 in x 4.038 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.038 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.038 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.038 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.038 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.038 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.038 * [taylor]: Taking taylor expansion of -1 in x 4.038 * [taylor]: Taking taylor expansion of x in x 4.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.039 * [taylor]: Taking taylor expansion of -1 in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.042 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.042 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.042 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.042 * [taylor]: Taking taylor expansion of 0.5 in x 4.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.042 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.042 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.042 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.042 * [taylor]: Taking taylor expansion of -1 in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.043 * [taylor]: Taking taylor expansion of -1 in x 4.043 * [taylor]: Taking taylor expansion of x in x 4.046 * [taylor]: Taking taylor expansion of 1.0 in x 4.046 * [taylor]: Taking taylor expansion of 1.0 in x 4.064 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.065 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in (x) around 0 4.065 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 4.065 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.065 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.065 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.065 * [taylor]: Taking taylor expansion of 0.5 in x 4.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.066 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.066 * [taylor]: Taking taylor expansion of 1.0 in x 4.066 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.066 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.066 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.066 * [taylor]: Taking taylor expansion of 1.0 in x 4.066 * [taylor]: Taking taylor expansion of 1.0 in x 4.066 * [taylor]: Taking taylor expansion of (* x x) in x 4.066 * [taylor]: Taking taylor expansion of x in x 4.066 * [taylor]: Taking taylor expansion of x in x 4.069 * [taylor]: Taking taylor expansion of 1.0 in x 4.076 * [taylor]: Taking taylor expansion of 1.0 in x 4.076 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.076 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.076 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.076 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.076 * [taylor]: Taking taylor expansion of 0.5 in x 4.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.076 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.076 * [taylor]: Taking taylor expansion of 1.0 in x 4.076 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.076 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.076 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.076 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.076 * [taylor]: Taking taylor expansion of 1.0 in x 4.076 * [taylor]: Taking taylor expansion of 1.0 in x 4.076 * [taylor]: Taking taylor expansion of (* x x) in x 4.076 * [taylor]: Taking taylor expansion of x in x 4.076 * [taylor]: Taking taylor expansion of x in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.099 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 4.099 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.099 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.099 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.099 * [taylor]: Taking taylor expansion of 0.5 in x 4.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.100 * [taylor]: Taking taylor expansion of 1.0 in x 4.100 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.100 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.100 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.100 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.100 * [taylor]: Taking taylor expansion of 1.0 in x 4.100 * [taylor]: Taking taylor expansion of 1.0 in x 4.100 * [taylor]: Taking taylor expansion of (* x x) in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.103 * [taylor]: Taking taylor expansion of 1.0 in x 4.109 * [taylor]: Taking taylor expansion of 1.0 in x 4.109 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.110 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.110 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.110 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.110 * [taylor]: Taking taylor expansion of 0.5 in x 4.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.110 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.110 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (* x x) in x 4.110 * [taylor]: Taking taylor expansion of x in x 4.110 * [taylor]: Taking taylor expansion of x in x 4.113 * [taylor]: Taking taylor expansion of 1.0 in x 4.113 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in (x) around 0 4.809 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.809 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.809 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.809 * [taylor]: Taking taylor expansion of 1.0 in x 4.810 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.810 * [taylor]: Taking taylor expansion of x in x 4.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.810 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.815 * [taylor]: Taking taylor expansion of 0.5 in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.816 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.816 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.816 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.816 * [taylor]: Taking taylor expansion of 0.5 in x 4.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.816 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.817 * [taylor]: Taking taylor expansion of x in x 4.820 * [taylor]: Taking taylor expansion of 1.0 in x 4.820 * [taylor]: Taking taylor expansion of 1.0 in x 4.825 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.825 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.825 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.825 * [taylor]: Taking taylor expansion of 1.0 in x 4.825 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.825 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.825 * [taylor]: Taking taylor expansion of 1.0 in x 4.825 * [taylor]: Taking taylor expansion of 1.0 in x 4.825 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.829 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.831 * [taylor]: Taking taylor expansion of 0.5 in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.832 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.832 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.832 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.832 * [taylor]: Taking taylor expansion of 0.5 in x 4.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.832 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.832 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.836 * [taylor]: Taking taylor expansion of 1.0 in x 4.836 * [taylor]: Taking taylor expansion of 1.0 in x 4.922 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in (x) around 0 4.922 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.922 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.922 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.922 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.922 * [taylor]: Taking taylor expansion of 1.0 in x 4.922 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.922 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.922 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.922 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.922 * [taylor]: Taking taylor expansion of 1.0 in x 4.922 * [taylor]: Taking taylor expansion of 1.0 in x 4.922 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.922 * [taylor]: Taking taylor expansion of -1 in x 4.922 * [taylor]: Taking taylor expansion of x in x 4.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.923 * [taylor]: Taking taylor expansion of -1 in x 4.923 * [taylor]: Taking taylor expansion of x in x 4.926 * [taylor]: Taking taylor expansion of 1.0 in x 4.928 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.928 * [taylor]: Taking taylor expansion of 0.5 in x 4.929 * [taylor]: Taking taylor expansion of 1.0 in x 4.929 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.929 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.929 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.929 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.929 * [taylor]: Taking taylor expansion of 0.5 in x 4.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.929 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.929 * [taylor]: Taking taylor expansion of 1.0 in x 4.929 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.929 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.929 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.929 * [taylor]: Taking taylor expansion of 1.0 in x 4.929 * [taylor]: Taking taylor expansion of 1.0 in x 4.929 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.929 * [taylor]: Taking taylor expansion of -1 in x 4.929 * [taylor]: Taking taylor expansion of x in x 4.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.930 * [taylor]: Taking taylor expansion of -1 in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.933 * [taylor]: Taking taylor expansion of 1.0 in x 4.933 * [taylor]: Taking taylor expansion of 1.0 in x 4.938 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.938 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.938 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.938 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.938 * [taylor]: Taking taylor expansion of 1.0 in x 4.938 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.938 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.939 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.939 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.939 * [taylor]: Taking taylor expansion of 1.0 in x 4.939 * [taylor]: Taking taylor expansion of 1.0 in x 4.939 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.939 * [taylor]: Taking taylor expansion of -1 in x 4.939 * [taylor]: Taking taylor expansion of x in x 4.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.939 * [taylor]: Taking taylor expansion of -1 in x 4.939 * [taylor]: Taking taylor expansion of x in x 4.942 * [taylor]: Taking taylor expansion of 1.0 in x 4.944 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.944 * [taylor]: Taking taylor expansion of 0.5 in x 4.945 * [taylor]: Taking taylor expansion of 1.0 in x 4.945 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.945 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.945 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.945 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.945 * [taylor]: Taking taylor expansion of 0.5 in x 4.945 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.945 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.945 * [taylor]: Taking taylor expansion of 1.0 in x 4.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.945 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.945 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.945 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.945 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.945 * [taylor]: Taking taylor expansion of 1.0 in x 4.945 * [taylor]: Taking taylor expansion of 1.0 in x 4.945 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.945 * [taylor]: Taking taylor expansion of -1 in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.946 * [taylor]: Taking taylor expansion of -1 in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.949 * [taylor]: Taking taylor expansion of 1.0 in x 4.949 * [taylor]: Taking taylor expansion of 1.0 in x 5.035 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.035 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 5.035 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.035 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.035 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.035 * [taylor]: Taking taylor expansion of 0.5 in x 5.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.036 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.036 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.036 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of (* x x) in x 5.037 * [taylor]: Taking taylor expansion of x in x 5.037 * [taylor]: Taking taylor expansion of x in x 5.039 * [taylor]: Taking taylor expansion of 1.0 in x 5.046 * [taylor]: Taking taylor expansion of 1.0 in x 5.046 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.046 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.046 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.046 * [taylor]: Taking taylor expansion of 0.5 in x 5.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.047 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.047 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.047 * [taylor]: Taking taylor expansion of 1.0 in x 5.047 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.047 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.047 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.047 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.047 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.047 * [taylor]: Taking taylor expansion of 1.0 in x 5.047 * [taylor]: Taking taylor expansion of 1.0 in x 5.047 * [taylor]: Taking taylor expansion of (* x x) in x 5.047 * [taylor]: Taking taylor expansion of x in x 5.047 * [taylor]: Taking taylor expansion of x in x 5.050 * [taylor]: Taking taylor expansion of 1.0 in x 5.063 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 5.275 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.275 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.275 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.275 * [taylor]: Taking taylor expansion of x in x 5.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.275 * [taylor]: Taking taylor expansion of x in x 5.278 * [taylor]: Taking taylor expansion of 1.0 in x 5.280 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.280 * [taylor]: Taking taylor expansion of 0.5 in x 5.281 * [taylor]: Taking taylor expansion of 1.0 in x 5.281 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.281 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.281 * [taylor]: Taking taylor expansion of 1.0 in x 5.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.281 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.281 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.281 * [taylor]: Taking taylor expansion of 1.0 in x 5.282 * [taylor]: Taking taylor expansion of 1.0 in x 5.282 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.282 * [taylor]: Taking taylor expansion of x in x 5.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.282 * [taylor]: Taking taylor expansion of x in x 5.285 * [taylor]: Taking taylor expansion of 1.0 in x 5.287 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.287 * [taylor]: Taking taylor expansion of 0.5 in x 5.288 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 5.325 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.325 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.325 * [taylor]: Taking taylor expansion of -1 in x 5.325 * [taylor]: Taking taylor expansion of x in x 5.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.326 * [taylor]: Taking taylor expansion of -1 in x 5.326 * [taylor]: Taking taylor expansion of x in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.331 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.331 * [taylor]: Taking taylor expansion of 0.5 in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.332 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.332 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.332 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.332 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.332 * [taylor]: Taking taylor expansion of -1 in x 5.332 * [taylor]: Taking taylor expansion of x in x 5.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.332 * [taylor]: Taking taylor expansion of -1 in x 5.332 * [taylor]: Taking taylor expansion of x in x 5.336 * [taylor]: Taking taylor expansion of 1.0 in x 5.338 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.338 * [taylor]: Taking taylor expansion of 0.5 in x 5.339 * [taylor]: Taking taylor expansion of 1.0 in x 5.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2) 5.369 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.369 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.369 * [taylor]: Taking taylor expansion of 1.0 in x 5.369 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.370 * [taylor]: Taking taylor expansion of 1.0 in x 5.370 * [taylor]: Taking taylor expansion of 1.0 in x 5.370 * [taylor]: Taking taylor expansion of (* x x) in x 5.370 * [taylor]: Taking taylor expansion of x in x 5.370 * [taylor]: Taking taylor expansion of x in x 5.373 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.373 * [taylor]: Taking taylor expansion of 1.0 in x 5.373 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.373 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.373 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.373 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.373 * [taylor]: Taking taylor expansion of 1.0 in x 5.373 * [taylor]: Taking taylor expansion of 1.0 in x 5.373 * [taylor]: Taking taylor expansion of (* x x) in x 5.373 * [taylor]: Taking taylor expansion of x in x 5.373 * [taylor]: Taking taylor expansion of x in x 5.421 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.421 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.421 * [taylor]: Taking taylor expansion of 1.0 in x 5.421 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.421 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.421 * [taylor]: Taking taylor expansion of 1.0 in x 5.421 * [taylor]: Taking taylor expansion of 1.0 in x 5.421 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.421 * [taylor]: Taking taylor expansion of x in x 5.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.421 * [taylor]: Taking taylor expansion of x in x 5.425 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.449 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.449 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.449 * [taylor]: Taking taylor expansion of 1.0 in x 5.449 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.449 * [taylor]: Taking taylor expansion of 1.0 in x 5.449 * [taylor]: Taking taylor expansion of 1.0 in x 5.449 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.449 * [taylor]: Taking taylor expansion of -1 in x 5.449 * [taylor]: Taking taylor expansion of x in x 5.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.449 * [taylor]: Taking taylor expansion of -1 in x 5.449 * [taylor]: Taking taylor expansion of x in x 5.452 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.452 * [taylor]: Taking taylor expansion of 1.0 in x 5.452 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.452 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.453 * [taylor]: Taking taylor expansion of -1 in x 5.453 * [taylor]: Taking taylor expansion of x in x 5.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.453 * [taylor]: Taking taylor expansion of -1 in x 5.453 * [taylor]: Taking taylor expansion of x in x 5.478 * * * [progress]: simplifying candidates 5.480 * [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 (/ (+ 1.0 (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)))) (log1p (/ (+ 1.0 (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)))) (- (log (+ 1.0 (sqrt (* 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)))) (log (/ (+ 1.0 (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)))) (exp (/ (+ 1.0 (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)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (fma (- 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)))) (* (cbrt (/ (+ 1.0 (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)))) (cbrt (/ (+ 1.0 (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))))) (cbrt (/ (+ 1.0 (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)))))) (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)))))) (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)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (/ (+ 1.0 (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)))) (sqrt (/ (+ 1.0 (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))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 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 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (* (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) (/ (cbrt (+ 1.0 (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))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (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 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ 1 (* (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))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ 1 (sqrt (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 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ 1 1) (/ (+ 1.0 (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 (* (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))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ 1 (sqrt (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 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ 1 1) (/ (+ 1.0 (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 (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)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma (- 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))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (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)))))) 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (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)) (sqrt (+ 1.0 (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))))))) (/ (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))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (* 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))))))))) (* (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))))))) (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))))))) (* (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)))))))) (- (* 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)))))) (+ 1.0 (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) (- (+ (* 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)))) (- (+ (* 0.0625 (* (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3) (pow (sqrt 1.0) 6))) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (+ (* 0.1875 (* (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) (pow (sqrt 1.0) 5))) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (+ (* 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))) (+ (* 0.0625 (/ (pow x 4) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3)))) (+ (* 1.0 (/ 1 (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))))) (+ (* 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (sqrt 0.5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))))))))) (+ (* 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (+ (* 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))))))) (+ (* 0.25 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (* (pow x 2) (sqrt 0.5)) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))) (- (+ (* 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2))) (+ (* 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x)) (+ (* 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0)))) (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 2.0 (/ 1 x)) 2.0))))))) (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2))) (+ (* 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0)))) (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (* (sqrt 1.0) (sqrt 0.5))) 2.0)))) (+ (* 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x)) (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 2.0 (/ 1 x)))))) (- (+ (* (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))))) 1.0)) (+ (* 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))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 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))))) 5.496 * * [simplify]: iteration 0 : 820 enodes (cost 1494 ) 5.512 * * [simplify]: iteration 1 : 3621 enodes (cost 1388 ) 5.567 * * [simplify]: iteration 2 : 5002 enodes (cost 1385 ) 5.573 * [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 (/ (+ 1.0 (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)))) (log1p (/ (+ 1.0 (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)))) (log (/ (+ 1.0 (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)))) (log (/ (+ 1.0 (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)))) (exp (/ (+ 1.0 (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)))) (pow (/ (+ 1.0 (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))) 3) (* (cbrt (/ (+ 1.0 (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)))) (cbrt (/ (+ 1.0 (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))))) (cbrt (/ (+ 1.0 (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)))) (pow (/ (+ 1.0 (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))) 3) (sqrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 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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))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (+ (* 0.0625 (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3) (pow (sqrt 1.0) 6)))) (* 0.1875 (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) (pow (sqrt 1.0) 5))))) (- (fma 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (fma 0.0625 (/ (pow x 4) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3))) (fma 1.0 (/ 1 (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))) (fma 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (sqrt 0.5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))))))) (fma 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))) (fma 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma 0.25 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (* (pow x 2) (sqrt 0.5)) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) (fma 2.0 (/ 1 x) 2.0)))))) (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (- (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) 2.0))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 2.0 (/ 1 x))))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 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)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (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 (- 0.5) (/ 1 (pow x 3)) (fma 0.375 (/ 1 (pow x 5)) (/ 1.0 x))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 5.574 * * * [progress]: adding candidates to table 5.948 * * [progress]: iteration 4 / 4 5.948 * * * [progress]: picking best candidate 5.965 * * * * [pick]: Picked # 5.965 * * * [progress]: localizing error 5.982 * * * [progress]: generating rewritten candidates 5.982 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.982 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.993 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.013 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 6.034 * * * [progress]: generating series expansions 6.034 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 6.035 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.035 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.035 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.035 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.035 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.035 * [taylor]: Taking taylor expansion of 0.5 in x 6.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.035 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.035 * [taylor]: Taking taylor expansion of 1.0 in x 6.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.035 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.035 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.035 * [taylor]: Taking taylor expansion of 1.0 in x 6.036 * [taylor]: Taking taylor expansion of 1.0 in x 6.036 * [taylor]: Taking taylor expansion of (* x x) in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.039 * [taylor]: Taking taylor expansion of 1.0 in x 6.039 * [taylor]: Taking taylor expansion of 1.0 in x 6.039 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.039 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.039 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.039 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.039 * [taylor]: Taking taylor expansion of 0.5 in x 6.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.039 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.039 * [taylor]: Taking taylor expansion of 1.0 in x 6.039 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.039 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.039 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.039 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.039 * [taylor]: Taking taylor expansion of 1.0 in x 6.039 * [taylor]: Taking taylor expansion of 1.0 in x 6.039 * [taylor]: Taking taylor expansion of (* x x) in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.042 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [taylor]: Taking taylor expansion of 1.0 in x 6.141 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.141 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.141 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.141 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.141 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.141 * [taylor]: Taking taylor expansion of 0.5 in x 6.141 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.141 * [taylor]: Taking taylor expansion of 1.0 in x 6.141 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.141 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.141 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.141 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.141 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.141 * [taylor]: Taking taylor expansion of 1.0 in x 6.141 * [taylor]: Taking taylor expansion of 1.0 in x 6.141 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.141 * [taylor]: Taking taylor expansion of x in x 6.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.142 * [taylor]: Taking taylor expansion of x in x 6.152 * [taylor]: Taking taylor expansion of 1.0 in x 6.152 * [taylor]: Taking taylor expansion of 1.0 in x 6.152 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.152 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.152 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.152 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.153 * [taylor]: Taking taylor expansion of 0.5 in x 6.153 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.153 * [taylor]: Taking taylor expansion of 1.0 in x 6.153 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.153 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.153 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.153 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.153 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.153 * [taylor]: Taking taylor expansion of 1.0 in x 6.153 * [taylor]: Taking taylor expansion of 1.0 in x 6.153 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.153 * [taylor]: Taking taylor expansion of x in x 6.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.153 * [taylor]: Taking taylor expansion of x in x 6.157 * [taylor]: Taking taylor expansion of 1.0 in x 6.157 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.177 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.177 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.177 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.177 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.177 * [taylor]: Taking taylor expansion of 0.5 in x 6.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.177 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.177 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.177 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.177 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.177 * [taylor]: Taking taylor expansion of -1 in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.178 * [taylor]: Taking taylor expansion of -1 in x 6.178 * [taylor]: Taking taylor expansion of x in x 6.181 * [taylor]: Taking taylor expansion of 1.0 in x 6.181 * [taylor]: Taking taylor expansion of 1.0 in x 6.181 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.181 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.181 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.181 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.181 * [taylor]: Taking taylor expansion of 0.5 in x 6.181 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.181 * [taylor]: Taking taylor expansion of 1.0 in x 6.181 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.181 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.181 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.181 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.181 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.181 * [taylor]: Taking taylor expansion of 1.0 in x 6.181 * [taylor]: Taking taylor expansion of 1.0 in x 6.181 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.181 * [taylor]: Taking taylor expansion of -1 in x 6.181 * [taylor]: Taking taylor expansion of x in x 6.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.182 * [taylor]: Taking taylor expansion of -1 in x 6.182 * [taylor]: Taking taylor expansion of x in x 6.185 * [taylor]: Taking taylor expansion of 1.0 in x 6.185 * [taylor]: Taking taylor expansion of 1.0 in x 6.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 6.205 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 6.205 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 6.205 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.205 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.205 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.205 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.205 * [taylor]: Taking taylor expansion of 0.5 in x 6.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.205 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of (* x x) in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.208 * [taylor]: Taking taylor expansion of 1.0 in x 6.208 * [taylor]: Taking taylor expansion of 1.0 in x 6.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.209 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.209 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.209 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.209 * [taylor]: Taking taylor expansion of 0.5 in x 6.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.209 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.209 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.209 * [taylor]: Taking taylor expansion of 1.0 in x 6.209 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.209 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.210 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.210 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.210 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.210 * [taylor]: Taking taylor expansion of 1.0 in x 6.210 * [taylor]: Taking taylor expansion of 1.0 in x 6.210 * [taylor]: Taking taylor expansion of (* x x) in x 6.210 * [taylor]: Taking taylor expansion of x in x 6.210 * [taylor]: Taking taylor expansion of x in x 6.213 * [taylor]: Taking taylor expansion of 1.0 in x 6.219 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 6.246 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.246 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.246 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.246 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.247 * [taylor]: Taking taylor expansion of 0.5 in x 6.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.247 * [taylor]: Taking taylor expansion of 1.0 in x 6.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.247 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.247 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.247 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.247 * [taylor]: Taking taylor expansion of 1.0 in x 6.247 * [taylor]: Taking taylor expansion of 1.0 in x 6.247 * [taylor]: Taking taylor expansion of (* x x) in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.250 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.250 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.250 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.250 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.250 * [taylor]: Taking taylor expansion of 0.5 in x 6.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.251 * [taylor]: Taking taylor expansion of 1.0 in x 6.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.251 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.251 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.251 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.251 * [taylor]: Taking taylor expansion of 1.0 in x 6.251 * [taylor]: Taking taylor expansion of 1.0 in x 6.251 * [taylor]: Taking taylor expansion of (* x x) in x 6.251 * [taylor]: Taking taylor expansion of x in x 6.251 * [taylor]: Taking taylor expansion of x in x 6.254 * [taylor]: Taking taylor expansion of 1.0 in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 7.383 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 7.383 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.383 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.383 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.383 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.383 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.383 * [taylor]: Taking taylor expansion of 0.5 in x 7.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.383 * [taylor]: Taking taylor expansion of 1.0 in x 7.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.383 * [taylor]: Taking taylor expansion of 1.0 in x 7.383 * [taylor]: Taking taylor expansion of 1.0 in x 7.384 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.384 * [taylor]: Taking taylor expansion of x in x 7.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.384 * [taylor]: Taking taylor expansion of x in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.387 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.387 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.388 * [taylor]: Taking taylor expansion of x in x 7.391 * [taylor]: Taking taylor expansion of 1.0 in x 7.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.393 * [taylor]: Taking taylor expansion of 0.5 in x 7.394 * [taylor]: Taking taylor expansion of 1.0 in x 7.431 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.431 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.431 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.431 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.431 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.431 * [taylor]: Taking taylor expansion of 0.5 in x 7.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.431 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.431 * [taylor]: Taking taylor expansion of 1.0 in x 7.431 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.431 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.431 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.431 * [taylor]: Taking taylor expansion of 1.0 in x 7.431 * [taylor]: Taking taylor expansion of 1.0 in x 7.431 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.431 * [taylor]: Taking taylor expansion of x in x 7.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.432 * [taylor]: Taking taylor expansion of x in x 7.435 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.435 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.435 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.435 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.435 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.435 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.435 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.435 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.435 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.435 * [taylor]: Taking taylor expansion of x in x 7.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.436 * [taylor]: Taking taylor expansion of x in x 7.439 * [taylor]: Taking taylor expansion of 1.0 in x 7.441 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.441 * [taylor]: Taking taylor expansion of 0.5 in x 7.442 * [taylor]: Taking taylor expansion of 1.0 in x 7.711 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 7.711 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.711 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.712 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.712 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.712 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.712 * [taylor]: Taking taylor expansion of 0.5 in x 7.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.712 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.712 * [taylor]: Taking taylor expansion of 1.0 in x 7.712 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.712 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.712 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.712 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.712 * [taylor]: Taking taylor expansion of 1.0 in x 7.712 * [taylor]: Taking taylor expansion of 1.0 in x 7.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.712 * [taylor]: Taking taylor expansion of -1 in x 7.712 * [taylor]: Taking taylor expansion of x in x 7.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.712 * [taylor]: Taking taylor expansion of -1 in x 7.712 * [taylor]: Taking taylor expansion of x in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.716 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.716 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.716 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.716 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.716 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.716 * [taylor]: Taking taylor expansion of -1 in x 7.716 * [taylor]: Taking taylor expansion of x in x 7.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.717 * [taylor]: Taking taylor expansion of -1 in x 7.717 * [taylor]: Taking taylor expansion of x in x 7.720 * [taylor]: Taking taylor expansion of 1.0 in x 7.722 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.722 * [taylor]: Taking taylor expansion of 0.5 in x 7.723 * [taylor]: Taking taylor expansion of 1.0 in x 7.759 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.759 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.760 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.760 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.760 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.760 * [taylor]: Taking taylor expansion of 0.5 in x 7.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.760 * [taylor]: Taking taylor expansion of -1 in x 7.760 * [taylor]: Taking taylor expansion of x in x 7.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.761 * [taylor]: Taking taylor expansion of -1 in x 7.761 * [taylor]: Taking taylor expansion of x in x 7.764 * [taylor]: Taking taylor expansion of 1.0 in x 7.764 * [taylor]: Taking taylor expansion of 1.0 in x 7.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.764 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.764 * [taylor]: Taking taylor expansion of 1.0 in x 7.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.765 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.765 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.765 * [taylor]: Taking taylor expansion of 1.0 in x 7.765 * [taylor]: Taking taylor expansion of 1.0 in x 7.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.765 * [taylor]: Taking taylor expansion of -1 in x 7.765 * [taylor]: Taking taylor expansion of x in x 7.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.765 * [taylor]: Taking taylor expansion of -1 in x 7.765 * [taylor]: Taking taylor expansion of x in x 7.768 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.770 * [taylor]: Taking taylor expansion of 0.5 in x 7.771 * [taylor]: Taking taylor expansion of 1.0 in x 8.044 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.044 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in (x) around 0 8.045 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 8.045 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.045 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.045 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.045 * [taylor]: Taking taylor expansion of 0.5 in x 8.045 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.045 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.045 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.045 * [taylor]: Taking taylor expansion of 1.0 in x 8.045 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.045 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.046 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.046 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.046 * [taylor]: Taking taylor expansion of 1.0 in x 8.046 * [taylor]: Taking taylor expansion of 1.0 in x 8.046 * [taylor]: Taking taylor expansion of (* x x) in x 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [taylor]: Taking taylor expansion of x in x 8.049 * [taylor]: Taking taylor expansion of 1.0 in x 8.055 * [taylor]: Taking taylor expansion of 1.0 in x 8.055 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.056 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.056 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.056 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.056 * [taylor]: Taking taylor expansion of 0.5 in x 8.056 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.056 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.056 * [taylor]: Taking taylor expansion of 1.0 in x 8.056 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.056 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.056 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.056 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.056 * [taylor]: Taking taylor expansion of 1.0 in x 8.056 * [taylor]: Taking taylor expansion of 1.0 in x 8.056 * [taylor]: Taking taylor expansion of (* x x) in x 8.056 * [taylor]: Taking taylor expansion of x in x 8.056 * [taylor]: Taking taylor expansion of x in x 8.059 * [taylor]: Taking taylor expansion of 1.0 in x 8.059 * [taylor]: Taking taylor expansion of 1.0 in x 8.079 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 8.079 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.079 * [taylor]: Taking taylor expansion of 0.5 in x 8.080 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.080 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.080 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.080 * [taylor]: Taking taylor expansion of 1.0 in x 8.080 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.080 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.080 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.080 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.080 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.080 * [taylor]: Taking taylor expansion of 1.0 in x 8.081 * [taylor]: Taking taylor expansion of 1.0 in x 8.081 * [taylor]: Taking taylor expansion of (* x x) in x 8.081 * [taylor]: Taking taylor expansion of x in x 8.081 * [taylor]: Taking taylor expansion of x in x 8.084 * [taylor]: Taking taylor expansion of 1.0 in x 8.090 * [taylor]: Taking taylor expansion of 1.0 in x 8.090 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.090 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.090 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.090 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.090 * [taylor]: Taking taylor expansion of 0.5 in x 8.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.090 * [taylor]: Taking taylor expansion of 1.0 in x 8.090 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.090 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.090 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.090 * [taylor]: Taking taylor expansion of 1.0 in x 8.090 * [taylor]: Taking taylor expansion of 1.0 in x 8.090 * [taylor]: Taking taylor expansion of (* x x) in x 8.090 * [taylor]: Taking taylor expansion of x in x 8.090 * [taylor]: Taking taylor expansion of x in x 8.093 * [taylor]: Taking taylor expansion of 1.0 in x 8.093 * [taylor]: Taking taylor expansion of 1.0 in x 8.814 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in (x) around 0 8.814 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 8.814 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.814 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.814 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.814 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.814 * [taylor]: Taking taylor expansion of 1.0 in x 8.815 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.815 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.815 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.815 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.815 * [taylor]: Taking taylor expansion of 1.0 in x 8.815 * [taylor]: Taking taylor expansion of 1.0 in x 8.815 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.815 * [taylor]: Taking taylor expansion of x in x 8.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.815 * [taylor]: Taking taylor expansion of x in x 8.818 * [taylor]: Taking taylor expansion of 1.0 in x 8.820 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.820 * [taylor]: Taking taylor expansion of 0.5 in x 8.821 * [taylor]: Taking taylor expansion of 1.0 in x 8.821 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.821 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.821 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.821 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.821 * [taylor]: Taking taylor expansion of 0.5 in x 8.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.821 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.821 * [taylor]: Taking taylor expansion of 1.0 in x 8.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.821 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.822 * [taylor]: Taking taylor expansion of 1.0 in x 8.822 * [taylor]: Taking taylor expansion of 1.0 in x 8.822 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.822 * [taylor]: Taking taylor expansion of x in x 8.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.822 * [taylor]: Taking taylor expansion of x in x 8.825 * [taylor]: Taking taylor expansion of 1.0 in x 8.825 * [taylor]: Taking taylor expansion of 1.0 in x 8.831 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 8.831 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.831 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.831 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.831 * [taylor]: Taking taylor expansion of 1.0 in x 8.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.831 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.831 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.831 * [taylor]: Taking taylor expansion of 1.0 in x 8.831 * [taylor]: Taking taylor expansion of 1.0 in x 8.831 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.831 * [taylor]: Taking taylor expansion of x in x 8.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.832 * [taylor]: Taking taylor expansion of x in x 8.835 * [taylor]: Taking taylor expansion of 1.0 in x 8.837 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.837 * [taylor]: Taking taylor expansion of 0.5 in x 8.837 * [taylor]: Taking taylor expansion of 1.0 in x 8.838 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.838 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.838 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.838 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.838 * [taylor]: Taking taylor expansion of 0.5 in x 8.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.838 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.838 * [taylor]: Taking taylor expansion of 1.0 in x 8.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.838 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.838 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.838 * [taylor]: Taking taylor expansion of 1.0 in x 8.838 * [taylor]: Taking taylor expansion of 1.0 in x 8.838 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.838 * [taylor]: Taking taylor expansion of x in x 8.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.838 * [taylor]: Taking taylor expansion of x in x 8.841 * [taylor]: Taking taylor expansion of 1.0 in x 8.841 * [taylor]: Taking taylor expansion of 1.0 in x 8.927 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in (x) around 0 8.927 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 8.927 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.927 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.927 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.927 * [taylor]: Taking taylor expansion of 1.0 in x 8.927 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.927 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.927 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.928 * [taylor]: Taking taylor expansion of 1.0 in x 8.928 * [taylor]: Taking taylor expansion of 1.0 in x 8.928 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.928 * [taylor]: Taking taylor expansion of -1 in x 8.928 * [taylor]: Taking taylor expansion of x in x 8.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.928 * [taylor]: Taking taylor expansion of -1 in x 8.928 * [taylor]: Taking taylor expansion of x in x 8.931 * [taylor]: Taking taylor expansion of 1.0 in x 8.933 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.933 * [taylor]: Taking taylor expansion of 0.5 in x 8.934 * [taylor]: Taking taylor expansion of 1.0 in x 8.934 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.934 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.934 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.934 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.934 * [taylor]: Taking taylor expansion of 0.5 in x 8.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.934 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.934 * [taylor]: Taking taylor expansion of 1.0 in x 8.934 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.934 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.934 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.934 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.934 * [taylor]: Taking taylor expansion of 1.0 in x 8.934 * [taylor]: Taking taylor expansion of 1.0 in x 8.934 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.934 * [taylor]: Taking taylor expansion of -1 in x 8.934 * [taylor]: Taking taylor expansion of x in x 8.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.935 * [taylor]: Taking taylor expansion of -1 in x 8.935 * [taylor]: Taking taylor expansion of x in x 8.938 * [taylor]: Taking taylor expansion of 1.0 in x 8.938 * [taylor]: Taking taylor expansion of 1.0 in x 8.943 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 8.943 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.943 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.943 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.944 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.944 * [taylor]: Taking taylor expansion of 1.0 in x 8.944 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.944 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.944 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.944 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.944 * [taylor]: Taking taylor expansion of 1.0 in x 8.944 * [taylor]: Taking taylor expansion of 1.0 in x 8.944 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.944 * [taylor]: Taking taylor expansion of -1 in x 8.944 * [taylor]: Taking taylor expansion of x in x 8.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.944 * [taylor]: Taking taylor expansion of -1 in x 8.944 * [taylor]: Taking taylor expansion of x in x 8.948 * [taylor]: Taking taylor expansion of 1.0 in x 8.950 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.950 * [taylor]: Taking taylor expansion of 0.5 in x 8.951 * [taylor]: Taking taylor expansion of 1.0 in x 8.951 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.951 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.951 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.951 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.951 * [taylor]: Taking taylor expansion of 0.5 in x 8.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.951 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.951 * [taylor]: Taking taylor expansion of 1.0 in x 8.951 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.951 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.951 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.951 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.951 * [taylor]: Taking taylor expansion of 1.0 in x 8.951 * [taylor]: Taking taylor expansion of 1.0 in x 8.951 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.951 * [taylor]: Taking taylor expansion of -1 in x 8.951 * [taylor]: Taking taylor expansion of x in x 8.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.952 * [taylor]: Taking taylor expansion of -1 in x 8.952 * [taylor]: Taking taylor expansion of x in x 8.955 * [taylor]: Taking taylor expansion of 1.0 in x 8.955 * [taylor]: Taking taylor expansion of 1.0 in x 9.053 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 9.054 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 9.054 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 9.054 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 9.054 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.054 * [taylor]: Taking taylor expansion of 0.5 in x 9.054 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.054 * [taylor]: Taking taylor expansion of 1.0 in x 9.054 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.054 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.055 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.055 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.055 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.055 * [taylor]: Taking taylor expansion of 1.0 in x 9.055 * [taylor]: Taking taylor expansion of 1.0 in x 9.055 * [taylor]: Taking taylor expansion of (* x x) in x 9.055 * [taylor]: Taking taylor expansion of x in x 9.055 * [taylor]: Taking taylor expansion of x in x 9.058 * [taylor]: Taking taylor expansion of 1.0 in x 9.064 * [taylor]: Taking taylor expansion of 1.0 in x 9.064 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 9.064 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 9.064 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.064 * [taylor]: Taking taylor expansion of 0.5 in x 9.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.073 * [taylor]: Taking taylor expansion of 1.0 in x 9.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.073 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.073 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.073 * [taylor]: Taking taylor expansion of 1.0 in x 9.073 * [taylor]: Taking taylor expansion of 1.0 in x 9.073 * [taylor]: Taking taylor expansion of (* x x) in x 9.073 * [taylor]: Taking taylor expansion of x in x 9.073 * [taylor]: Taking taylor expansion of x in x 9.076 * [taylor]: Taking taylor expansion of 1.0 in x 9.082 * [taylor]: Taking taylor expansion of 1.0 in x 9.300 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 9.300 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.300 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.300 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.300 * [taylor]: Taking taylor expansion of 1.0 in x 9.300 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.300 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.300 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.300 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.300 * [taylor]: Taking taylor expansion of 1.0 in x 9.300 * [taylor]: Taking taylor expansion of 1.0 in x 9.301 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.301 * [taylor]: Taking taylor expansion of x in x 9.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.301 * [taylor]: Taking taylor expansion of x in x 9.304 * [taylor]: Taking taylor expansion of 1.0 in x 9.306 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.306 * [taylor]: Taking taylor expansion of 0.5 in x 9.307 * [taylor]: Taking taylor expansion of 1.0 in x 9.307 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.307 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.307 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.307 * [taylor]: Taking taylor expansion of 1.0 in x 9.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.307 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.307 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.307 * [taylor]: Taking taylor expansion of 1.0 in x 9.307 * [taylor]: Taking taylor expansion of 1.0 in x 9.307 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.307 * [taylor]: Taking taylor expansion of x in x 9.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.308 * [taylor]: Taking taylor expansion of x in x 9.311 * [taylor]: Taking taylor expansion of 1.0 in x 9.313 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.313 * [taylor]: Taking taylor expansion of 0.5 in x 9.314 * [taylor]: Taking taylor expansion of 1.0 in x 9.354 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 9.354 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.354 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.354 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.354 * [taylor]: Taking taylor expansion of 1.0 in x 9.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.354 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.354 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.354 * [taylor]: Taking taylor expansion of 1.0 in x 9.354 * [taylor]: Taking taylor expansion of 1.0 in x 9.354 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.354 * [taylor]: Taking taylor expansion of -1 in x 9.354 * [taylor]: Taking taylor expansion of x in x 9.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.354 * [taylor]: Taking taylor expansion of -1 in x 9.354 * [taylor]: Taking taylor expansion of x in x 9.358 * [taylor]: Taking taylor expansion of 1.0 in x 9.360 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.360 * [taylor]: Taking taylor expansion of 0.5 in x 9.361 * [taylor]: Taking taylor expansion of 1.0 in x 9.361 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.361 * [taylor]: Taking taylor expansion of 1.0 in x 9.361 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.361 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.361 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.361 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.361 * [taylor]: Taking taylor expansion of 1.0 in x 9.361 * [taylor]: Taking taylor expansion of 1.0 in x 9.361 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.361 * [taylor]: Taking taylor expansion of -1 in x 9.361 * [taylor]: Taking taylor expansion of x in x 9.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.362 * [taylor]: Taking taylor expansion of -1 in x 9.362 * [taylor]: Taking taylor expansion of x in x 9.365 * [taylor]: Taking taylor expansion of 1.0 in x 9.367 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.367 * [taylor]: Taking taylor expansion of 0.5 in x 9.368 * [taylor]: Taking taylor expansion of 1.0 in x 9.400 * * * [progress]: simplifying candidates 9.410 * [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)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 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))) (log (sqrt (+ 1.0 (sqrt (* 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)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (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)) (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 (+ 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))))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (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)) (sqrt (+ 1.0 (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)) (sqrt (+ 1.0 (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)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (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))) (- (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (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 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (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 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (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 1)) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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 1)) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (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)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt 1)) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 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1.0)))))))) (fma 0.1875 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (fma 0.046875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 7)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (sqrt 1.0)))))))) (fma (* 0.03125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (- (fma 0.046875 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.125 (* (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))))) (fma 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.125 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))) (+ (+ (fma (* 0.5 (/ 1 x)) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.03125 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))) (fma (* 0.046875 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5))) (* 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (* (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (+ (* 0.125 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (+ (* 0.0625 (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3) (pow (sqrt 1.0) 6)))) (* 0.1875 (/ (* (sqrt 0.5) (pow x 4)) (* (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) (pow (sqrt 1.0) 5)))))) (- (fma 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (fma 0.0625 (/ (pow x 4) (* (pow (sqrt 1.0) 6) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 3))) (fma 1.0 (/ 1 (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))) (fma 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (sqrt 0.5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))))))) (fma 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))) (fma 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma 0.25 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (* (pow x 2) (sqrt 0.5)) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) (fma 2.0 (/ 1 x) 2.0)))))) (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (- (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) 2.0))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 2.0 (/ 1 x))))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 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)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 9.537 * * * [progress]: adding candidates to table 10.457 * [progress]: [Phase 3 of 3] Extracting. 10.457 * * [regime]: Finding splitpoints for: (# # # # #) 10.459 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 10.460 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 10.497 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 10.515 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 10.572 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 10.608 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 10.650 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 10.667 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.709 * * * [regime]: Found split indices: #