15.919 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.039 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.042 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.059 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.077 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.087 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.087 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* x x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [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 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.351 * [taylor]: Taking taylor expansion of 0.5 in x 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.389 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.389 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.401 * [taylor]: Taking taylor expansion of 0.5 in x 0.445 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.445 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (* x x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.448 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.448 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (* x x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.488 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.520 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.520 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.520 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.523 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.547 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.547 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (* x x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.550 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (* x x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.649 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.649 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.649 * [taylor]: Taking taylor expansion of 0.5 in x 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.649 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.649 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.649 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.649 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (* x x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.658 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.659 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (* x x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.842 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.842 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.848 * [taylor]: Taking taylor expansion of 0.5 in x 0.849 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.849 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.849 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.854 * [taylor]: Taking taylor expansion of 0.5 in x 0.876 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.876 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.876 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.876 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.876 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.882 * [taylor]: Taking taylor expansion of 0.5 in x 0.882 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.882 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.882 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.888 * [taylor]: Taking taylor expansion of 0.5 in x 0.916 * * * [progress]: simplifying candidates 0.918 * [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 (+ 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))) (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)))))) (- (+ (* 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))))) (- (+ (* 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))) (- (+ (* (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)))))) 0.926 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.935 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 0.969 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 0.973 * [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 (+ 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))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* 0.25 (/ (* (pow x 2) (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 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)) (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))))))) 0.974 * * * [progress]: adding candidates to table 1.234 * * [progress]: iteration 2 / 4 1.235 * * * [progress]: picking best candidate 1.256 * * * * [pick]: Picked # 1.256 * * * [progress]: localizing error 1.281 * * * [progress]: generating rewritten candidates 1.281 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.287 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.296 * * * [progress]: generating series expansions 1.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.297 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.297 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.297 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.297 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.297 * [taylor]: Taking taylor expansion of 0.5 in x 1.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.297 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.297 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (* x x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.300 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.300 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.300 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.300 * [taylor]: Taking taylor expansion of 0.5 in x 1.300 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.300 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.301 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.301 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (* x x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.393 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.393 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.393 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.393 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.394 * [taylor]: Taking taylor expansion of 0.5 in x 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.397 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.397 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.397 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.397 * [taylor]: Taking taylor expansion of 0.5 in x 1.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.397 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.419 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.419 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.419 * [taylor]: Taking taylor expansion of 0.5 in x 1.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.429 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.429 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.429 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.429 * [taylor]: Taking taylor expansion of 0.5 in x 1.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.429 * [taylor]: Taking taylor expansion of -1 in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.430 * [taylor]: Taking taylor expansion of -1 in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.450 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.450 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.450 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (* x x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (* x x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.492 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.492 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.524 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.524 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.524 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.527 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.528 * [taylor]: Taking taylor expansion of -1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.528 * [taylor]: Taking taylor expansion of -1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.550 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.550 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 (* x x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.553 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (* x x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.597 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.597 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.601 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.601 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.601 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.601 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.622 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.622 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.649 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.649 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.649 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.649 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.649 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.650 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (* x x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.658 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.658 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.658 * [taylor]: Taking taylor expansion of 0.5 in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.659 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (* x x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.045 * [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 2.045 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.045 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.045 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.045 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.045 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.045 * [taylor]: Taking taylor expansion of 1.0 in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.045 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.045 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.045 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.045 * [taylor]: Taking taylor expansion of 1.0 in x 2.045 * [taylor]: Taking taylor expansion of 1.0 in x 2.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.051 * [taylor]: Taking taylor expansion of 0.5 in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.051 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.051 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.051 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.051 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.057 * [taylor]: Taking taylor expansion of 0.5 in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [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 2.090 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.090 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.090 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.090 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.090 * [taylor]: Taking taylor expansion of -1 in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.090 * [taylor]: Taking taylor expansion of -1 in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.095 * [taylor]: Taking taylor expansion of 0.5 in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.096 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.096 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.096 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.096 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.096 * [taylor]: Taking taylor expansion of -1 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.097 * [taylor]: Taking taylor expansion of -1 in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.102 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.102 * [taylor]: Taking taylor expansion of 0.5 in x 2.102 * [taylor]: Taking taylor expansion of 1.0 in x 2.130 * * * [progress]: simplifying candidates 2.132 * [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 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)))))) (- (+ (* 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)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (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)))))) 2.138 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 2.145 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 2.173 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 2.176 * [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 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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 (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))))))))) (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)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (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))))))) 2.176 * * * [progress]: adding candidates to table 2.500 * * [progress]: iteration 3 / 4 2.500 * * * [progress]: picking best candidate 2.513 * * * * [pick]: Picked # 2.513 * * * [progress]: localizing error 2.528 * * * [progress]: generating rewritten candidates 2.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.529 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.531 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 2.534 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.539 * * * [progress]: generating series expansions 2.539 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.540 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.540 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.540 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.540 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.540 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.540 * [taylor]: Taking taylor expansion of 0.5 in x 2.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.540 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.540 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (* x x) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.543 * [taylor]: Taking taylor expansion of 1.0 in x 2.543 * [taylor]: Taking taylor expansion of 1.0 in x 2.543 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.543 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.543 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.543 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.543 * [taylor]: Taking taylor expansion of 0.5 in x 2.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.544 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.544 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (* x x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of 1.0 in x 2.547 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.631 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.634 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.634 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.634 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.634 * [taylor]: Taking taylor expansion of 0.5 in x 2.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.634 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.634 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.634 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.637 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.638 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.638 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.638 * [taylor]: Taking taylor expansion of 0.5 in x 2.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.638 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.638 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.638 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.659 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.659 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.659 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.659 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.659 * [taylor]: Taking taylor expansion of 0.5 in x 2.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.659 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.659 * [taylor]: Taking taylor expansion of -1 in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.659 * [taylor]: Taking taylor expansion of -1 in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.663 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.663 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.663 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.663 * [taylor]: Taking taylor expansion of 0.5 in x 2.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.663 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.663 * [taylor]: Taking taylor expansion of -1 in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.663 * [taylor]: Taking taylor expansion of -1 in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.684 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.684 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.684 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.684 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.684 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.684 * [taylor]: Taking taylor expansion of 0.5 in x 2.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.684 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.684 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (* x x) in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.687 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.687 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.687 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.687 * [taylor]: Taking taylor expansion of 0.5 in x 2.687 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.687 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.687 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.687 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.687 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (* x x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.775 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.775 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.776 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.776 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.776 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.776 * [taylor]: Taking taylor expansion of 0.5 in x 2.776 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.776 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.776 * [taylor]: Taking taylor expansion of 1.0 in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.776 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.776 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.776 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.776 * [taylor]: Taking taylor expansion of 1.0 in x 2.776 * [taylor]: Taking taylor expansion of 1.0 in x 2.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.776 * [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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.779 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.779 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.779 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.779 * [taylor]: Taking taylor expansion of 0.5 in x 2.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.779 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.779 * [taylor]: Taking taylor expansion of 1.0 in x 2.779 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.779 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.779 * [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 x in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.783 * [taylor]: Taking taylor expansion of 1.0 in x 2.783 * [taylor]: Taking taylor expansion of 1.0 in x 2.804 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.804 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.804 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.804 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.804 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.804 * [taylor]: Taking taylor expansion of 0.5 in x 2.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.804 * [taylor]: Taking taylor expansion of 1.0 in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.804 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.805 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.805 * [taylor]: Taking taylor expansion of 1.0 in x 2.805 * [taylor]: Taking taylor expansion of 1.0 in x 2.805 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.805 * [taylor]: Taking taylor expansion of -1 in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.805 * [taylor]: Taking taylor expansion of -1 in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.808 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.808 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.808 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.808 * [taylor]: Taking taylor expansion of 0.5 in x 2.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.808 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.809 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.809 * [taylor]: Taking taylor expansion of -1 in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.809 * [taylor]: Taking taylor expansion of -1 in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.830 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.830 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.830 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.830 * [taylor]: Taking taylor expansion of 1.0 in x 2.830 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.830 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.830 * [taylor]: Taking taylor expansion of 1.0 in x 2.830 * [taylor]: Taking taylor expansion of 1.0 in x 2.830 * [taylor]: Taking taylor expansion of (* x x) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.833 * [taylor]: Taking taylor expansion of 1.0 in x 2.833 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.833 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.833 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.833 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.833 * [taylor]: Taking taylor expansion of 1.0 in x 2.833 * [taylor]: Taking taylor expansion of 1.0 in x 2.833 * [taylor]: Taking taylor expansion of (* x x) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.875 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.875 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.878 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.878 * [taylor]: Taking taylor expansion of 1.0 in x 2.878 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.878 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.879 * [taylor]: Taking taylor expansion of 1.0 in x 2.879 * [taylor]: Taking taylor expansion of 1.0 in x 2.879 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.901 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.901 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.901 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.901 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.901 * [taylor]: Taking taylor expansion of -1 in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.901 * [taylor]: Taking taylor expansion of -1 in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.904 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.904 * [taylor]: Taking taylor expansion of 1.0 in x 2.904 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.905 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.905 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.905 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.905 * [taylor]: Taking taylor expansion of 1.0 in x 2.905 * [taylor]: Taking taylor expansion of 1.0 in x 2.905 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.905 * [taylor]: Taking taylor expansion of -1 in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.905 * [taylor]: Taking taylor expansion of -1 in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.927 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.927 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.927 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.927 * [taylor]: Taking taylor expansion of 1.0 in x 2.927 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.927 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.927 * [taylor]: Taking taylor expansion of 1.0 in x 2.927 * [taylor]: Taking taylor expansion of 1.0 in x 2.927 * [taylor]: Taking taylor expansion of (* x x) in x 2.927 * [taylor]: Taking taylor expansion of x in x 2.927 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of (* x x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.972 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.972 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.972 * [taylor]: Taking taylor expansion of 1.0 in x 2.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.972 * [taylor]: Taking taylor expansion of 1.0 in x 2.972 * [taylor]: Taking taylor expansion of 1.0 in x 2.972 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.975 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.975 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.975 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.976 * [taylor]: Taking taylor expansion of x in x 2.998 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.998 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.998 * [taylor]: Taking taylor expansion of 1.0 in x 2.998 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.998 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.998 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.998 * [taylor]: Taking taylor expansion of 1.0 in x 2.998 * [taylor]: Taking taylor expansion of 1.0 in x 2.998 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.998 * [taylor]: Taking taylor expansion of -1 in x 2.998 * [taylor]: Taking taylor expansion of x in x 2.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.998 * [taylor]: Taking taylor expansion of -1 in x 2.998 * [taylor]: Taking taylor expansion of x in x 3.001 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.001 * [taylor]: Taking taylor expansion of 1.0 in x 3.001 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.002 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.002 * [taylor]: Taking taylor expansion of 1.0 in x 3.002 * [taylor]: Taking taylor expansion of 1.0 in x 3.002 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.002 * [taylor]: Taking taylor expansion of -1 in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.002 * [taylor]: Taking taylor expansion of -1 in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.027 * * * [progress]: simplifying candidates 3.028 * [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 (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (log (* (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)))))) (exp (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log 1)) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)))) (- (+ (* 0.25 (/ (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)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 3.033 * * [simplify]: iteration 0 : 273 enodes (cost 648 ) 3.038 * * [simplify]: iteration 1 : 913 enodes (cost 592 ) 3.055 * * [simplify]: iteration 2 : 4559 enodes (cost 571 ) 3.175 * * [simplify]: iteration 3 : 5001 enodes (cost 565 ) 3.179 * [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))) (pow (exp 2) (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) E (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow (exp 2) (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (exp 2) (log (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 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) (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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) 3.179 * * * [progress]: adding candidates to table 3.523 * * [progress]: iteration 4 / 4 3.523 * * * [progress]: picking best candidate 3.543 * * * * [pick]: Picked # 3.543 * * * [progress]: localizing error 3.564 * * * [progress]: generating rewritten candidates 3.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.568 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 3.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2) 3.576 * * * [progress]: generating series expansions 3.576 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.577 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.577 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.578 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.578 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.578 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.578 * [taylor]: Taking taylor expansion of 0.5 in x 3.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.578 * [taylor]: Taking taylor expansion of 1.0 in x 3.578 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.578 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.578 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.578 * [taylor]: Taking taylor expansion of 1.0 in x 3.578 * [taylor]: Taking taylor expansion of 1.0 in x 3.578 * [taylor]: Taking taylor expansion of (* x x) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.581 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.581 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.581 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.581 * [taylor]: Taking taylor expansion of 0.5 in x 3.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.581 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of (* x x) in x 3.581 * [taylor]: Taking taylor expansion of x in x 3.581 * [taylor]: Taking taylor expansion of x in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.673 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.673 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.673 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.673 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.673 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.673 * [taylor]: Taking taylor expansion of 0.5 in x 3.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.673 * [taylor]: Taking taylor expansion of 1.0 in x 3.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.674 * [taylor]: Taking taylor expansion of 1.0 in x 3.674 * [taylor]: Taking taylor expansion of 1.0 in x 3.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.674 * [taylor]: Taking taylor expansion of x in x 3.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.674 * [taylor]: Taking taylor expansion of x in x 3.677 * [taylor]: Taking taylor expansion of 1.0 in x 3.677 * [taylor]: Taking taylor expansion of 1.0 in x 3.677 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.677 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.677 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.677 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.677 * [taylor]: Taking taylor expansion of 0.5 in x 3.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.677 * [taylor]: Taking taylor expansion of 1.0 in x 3.677 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.678 * [taylor]: Taking taylor expansion of 1.0 in x 3.678 * [taylor]: Taking taylor expansion of 1.0 in x 3.678 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.699 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.699 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.699 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.699 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.699 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.699 * [taylor]: Taking taylor expansion of 0.5 in x 3.699 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.699 * [taylor]: Taking taylor expansion of 1.0 in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.699 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.699 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.699 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.699 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.699 * [taylor]: Taking taylor expansion of 1.0 in x 3.699 * [taylor]: Taking taylor expansion of 1.0 in x 3.699 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.699 * [taylor]: Taking taylor expansion of -1 in x 3.699 * [taylor]: Taking taylor expansion of x in x 3.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.700 * [taylor]: Taking taylor expansion of -1 in x 3.700 * [taylor]: Taking taylor expansion of x in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.703 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.703 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.703 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.703 * [taylor]: Taking taylor expansion of 0.5 in x 3.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.703 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.703 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.703 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.703 * [taylor]: Taking taylor expansion of -1 in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.703 * [taylor]: Taking taylor expansion of -1 in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.729 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.729 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in (x) around 0 3.729 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.729 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.730 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.730 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.730 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.730 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.730 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.730 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.730 * [taylor]: Taking taylor expansion of 0.5 in x 3.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.730 * [taylor]: Taking taylor expansion of 1.0 in x 3.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.730 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.730 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.730 * [taylor]: Taking taylor expansion of 1.0 in x 3.730 * [taylor]: Taking taylor expansion of 1.0 in x 3.730 * [taylor]: Taking taylor expansion of (* x x) in x 3.730 * [taylor]: Taking taylor expansion of x in x 3.730 * [taylor]: Taking taylor expansion of x in x 3.733 * [taylor]: Taking taylor expansion of 1.0 in x 3.733 * [taylor]: Taking taylor expansion of 1.0 in x 3.742 * [taylor]: Taking taylor expansion of (log E) in x 3.742 * [taylor]: Taking taylor expansion of E in x 3.747 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.747 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.747 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.747 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.747 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.748 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.748 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.748 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.748 * [taylor]: Taking taylor expansion of 0.5 in x 3.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.748 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.748 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of (* x x) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.751 * [taylor]: Taking taylor expansion of 1.0 in x 3.751 * [taylor]: Taking taylor expansion of 1.0 in x 3.759 * [taylor]: Taking taylor expansion of (log E) in x 3.760 * [taylor]: Taking taylor expansion of E in x 4.034 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in (x) around 0 4.034 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 4.034 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 4.034 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 4.034 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.034 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.035 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.035 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.035 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.035 * [taylor]: Taking taylor expansion of 0.5 in x 4.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.035 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.035 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.035 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.040 * [taylor]: Taking taylor expansion of (log E) in x 4.040 * [taylor]: Taking taylor expansion of E in x 4.041 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 4.041 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 4.041 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 4.041 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.041 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.041 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.041 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.041 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.041 * [taylor]: Taking taylor expansion of 0.5 in x 4.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.041 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.041 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.041 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.041 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.045 * [taylor]: Taking taylor expansion of 1.0 in x 4.045 * [taylor]: Taking taylor expansion of 1.0 in x 4.046 * [taylor]: Taking taylor expansion of (log E) in x 4.046 * [taylor]: Taking taylor expansion of E in x 4.085 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in (x) around 0 4.085 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 4.085 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 4.085 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 4.085 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.085 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.086 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.086 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.086 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.086 * [taylor]: Taking taylor expansion of 0.5 in x 4.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.086 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.086 * [taylor]: Taking taylor expansion of 1.0 in x 4.086 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.086 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.086 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.086 * [taylor]: Taking taylor expansion of 1.0 in x 4.086 * [taylor]: Taking taylor expansion of 1.0 in x 4.086 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.086 * [taylor]: Taking taylor expansion of -1 in x 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.086 * [taylor]: Taking taylor expansion of -1 in x 4.086 * [taylor]: Taking taylor expansion of x in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.091 * [taylor]: Taking taylor expansion of (log E) in x 4.091 * [taylor]: Taking taylor expansion of E in x 4.092 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 4.092 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 4.092 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 4.092 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.092 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.093 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.093 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.093 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.093 * [taylor]: Taking taylor expansion of 0.5 in x 4.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.093 * [taylor]: Taking taylor expansion of 1.0 in x 4.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.093 * [taylor]: Taking taylor expansion of 1.0 in x 4.093 * [taylor]: Taking taylor expansion of 1.0 in x 4.093 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.093 * [taylor]: Taking taylor expansion of -1 in x 4.093 * [taylor]: Taking taylor expansion of x in x 4.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.093 * [taylor]: Taking taylor expansion of -1 in x 4.093 * [taylor]: Taking taylor expansion of x in x 4.096 * [taylor]: Taking taylor expansion of 1.0 in x 4.096 * [taylor]: Taking taylor expansion of 1.0 in x 4.098 * [taylor]: Taking taylor expansion of (log E) in x 4.098 * [taylor]: Taking taylor expansion of E in x 4.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 4.142 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.142 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.143 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.143 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of (* x x) in x 4.143 * [taylor]: Taking taylor expansion of x in x 4.143 * [taylor]: Taking taylor expansion of x in x 4.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.146 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.146 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.146 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.146 * [taylor]: Taking taylor expansion of (* x x) in x 4.146 * [taylor]: Taking taylor expansion of x in x 4.146 * [taylor]: Taking taylor expansion of x in x 4.189 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.189 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.189 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.193 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.193 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.215 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.215 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.215 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.215 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.215 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.215 * [taylor]: Taking taylor expansion of -1 in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.216 * [taylor]: Taking taylor expansion of -1 in x 4.216 * [taylor]: Taking taylor expansion of x in x 4.219 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.219 * [taylor]: Taking taylor expansion of 1.0 in x 4.219 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.219 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.219 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.219 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.219 * [taylor]: Taking taylor expansion of 1.0 in x 4.219 * [taylor]: Taking taylor expansion of 1.0 in x 4.219 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.219 * [taylor]: Taking taylor expansion of -1 in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.219 * [taylor]: Taking taylor expansion of -1 in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.241 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2) 4.241 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.241 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.241 * [taylor]: Taking taylor expansion of 1.0 in x 4.241 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.242 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [taylor]: Taking taylor expansion of (* x x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.245 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.245 * [taylor]: Taking taylor expansion of 1.0 in x 4.245 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.245 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.245 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.245 * [taylor]: Taking taylor expansion of 1.0 in x 4.245 * [taylor]: Taking taylor expansion of 1.0 in x 4.245 * [taylor]: Taking taylor expansion of (* x x) in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.289 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.289 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.289 * [taylor]: Taking taylor expansion of 1.0 in x 4.289 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.289 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.289 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.289 * [taylor]: Taking taylor expansion of 1.0 in x 4.289 * [taylor]: Taking taylor expansion of 1.0 in x 4.289 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.292 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.292 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.293 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.315 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.315 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.315 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.315 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.315 * [taylor]: Taking taylor expansion of -1 in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.315 * [taylor]: Taking taylor expansion of -1 in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.318 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.319 * [taylor]: Taking taylor expansion of 1.0 in x 4.319 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.319 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.319 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.319 * [taylor]: Taking taylor expansion of 1.0 in x 4.319 * [taylor]: Taking taylor expansion of 1.0 in x 4.319 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.319 * [taylor]: Taking taylor expansion of -1 in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.319 * [taylor]: Taking taylor expansion of -1 in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.347 * * * [progress]: simplifying candidates 4.349 * [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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (log E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (log E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E 1) (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E 1) (pow E (log (* (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 E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log 1)) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 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 2)))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2)))))) (- (+ 0.5 (+ (* 0.25 (/ 1 (pow x 2))) (* 0.5 (/ 1 x)))) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 4.355 * * [simplify]: iteration 0 : 359 enodes (cost 776 ) 4.361 * * [simplify]: iteration 1 : 1368 enodes (cost 725 ) 4.384 * * [simplify]: iteration 2 : 5002 enodes (cost 716 ) 4.388 * [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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) E (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow E (log (* (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 E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (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 (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (/ 0.5 x)) (+ (+ 0.5 (/ 0.5 x)) (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 4.389 * * * [progress]: adding candidates to table 4.771 * [progress]: [Phase 3 of 3] Extracting. 4.771 * * [regime]: Finding splitpoints for: (# # # # # #) 4.774 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 4.774 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 4.810 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 4.836 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 4.878 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 4.901 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 4.939 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 4.960 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 4.998 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 5.035 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 5.075 * * * * [regimes]: Trying to branch on x from (# # # # # #) 5.121 * * * [regime]: Found split indices: #