42.204 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.037 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.041 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.046 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.046 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.070 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.074 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.079 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.096 * [taylor]: Taking taylor expansion of 0.5 in x 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.406 * [taylor]: Taking taylor expansion of 0.5 in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.407 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.412 * [taylor]: Taking taylor expansion of 0.5 in x 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.456 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.456 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.462 * [taylor]: Taking taylor expansion of 0.5 in x 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.463 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.507 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.507 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.507 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.507 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (* x x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.510 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.510 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (* x x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.585 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.604 * [taylor]: Taking taylor expansion of -1 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.618 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.619 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.619 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (* x x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.622 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.622 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (* x x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.698 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.699 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.699 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.703 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.703 * [taylor]: Taking taylor expansion of -1 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.703 * [taylor]: Taking taylor expansion of -1 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.734 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.734 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.734 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (* x x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.737 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (* x x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.755 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.774 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.774 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.774 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.774 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.774 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.774 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.793 * * * [progress]: simplifying candidates 0.795 * [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 (/ 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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 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))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.803 * * [simplify]: iteration 0 : 539 enodes (cost 998 ) 0.812 * * [simplify]: iteration 1 : 2059 enodes (cost 745 ) 0.847 * * [simplify]: iteration 2 : 5001 enodes (cost 742 ) 0.857 * [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 (/ 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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma 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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.858 * * * [progress]: adding candidates to table 1.122 * * [progress]: iteration 2 / 4 1.122 * * * [progress]: picking best candidate 1.132 * * * * [pick]: Picked # 1.132 * * * [progress]: localizing error 1.146 * * * [progress]: generating rewritten candidates 1.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.161 * * * [progress]: generating series expansions 1.162 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.162 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.163 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.163 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.163 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.163 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.163 * [taylor]: Taking taylor expansion of 0.5 in x 1.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.163 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.163 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (* x x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.171 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.171 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.171 * [taylor]: Taking taylor expansion of 0.5 in x 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.171 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (* x x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.272 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.272 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.272 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.272 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.272 * [taylor]: Taking taylor expansion of 0.5 in x 1.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.272 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.272 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.276 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.276 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.276 * [taylor]: Taking taylor expansion of 0.5 in x 1.276 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.276 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.276 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.276 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.300 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.300 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x)))) 1.0) in x 1.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x))) in x 1.300 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.300 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.300 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 (* (/ -1 x) (/ -1 x)) in x 1.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.304 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.304 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.304 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.304 * [taylor]: Taking taylor expansion of 0.5 in x 1.304 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.304 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.305 * [taylor]: Taking taylor expansion of -1 in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.327 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.327 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.327 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.327 * [taylor]: Taking taylor expansion of 0.5 in x 1.327 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.327 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.328 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (* x x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.331 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.331 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.331 * [taylor]: Taking taylor expansion of 0.5 in x 1.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.332 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.332 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (* x x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.368 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.368 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.368 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.368 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.368 * [taylor]: Taking taylor expansion of 0.5 in x 1.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.368 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (* x x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.372 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.372 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.372 * [taylor]: Taking taylor expansion of 0.5 in x 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.372 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.373 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.373 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.373 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.373 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (* x x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.257 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.257 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.258 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.258 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.258 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.258 * [taylor]: Taking taylor expansion of 0.5 in x 2.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.258 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.258 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.262 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.262 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.262 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.262 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.262 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.262 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.268 * [taylor]: Taking taylor expansion of 0.5 in x 2.268 * [taylor]: Taking taylor expansion of 1.0 in x 2.274 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.274 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.274 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.274 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.274 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.274 * [taylor]: Taking taylor expansion of 0.5 in x 2.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.278 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.278 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.278 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.278 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.279 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.279 * [taylor]: Taking taylor expansion of 1.0 in x 2.279 * [taylor]: Taking taylor expansion of 1.0 in x 2.279 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of 1.0 in x 2.291 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.291 * [taylor]: Taking taylor expansion of 0.5 in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.436 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.436 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.436 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.436 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.436 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.436 * [taylor]: Taking taylor expansion of 0.5 in x 2.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.436 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.436 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.436 * [taylor]: Taking taylor expansion of -1 in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.437 * [taylor]: Taking taylor expansion of -1 in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.440 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.440 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.441 * [taylor]: Taking taylor expansion of -1 in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.441 * [taylor]: Taking taylor expansion of -1 in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.446 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.446 * [taylor]: Taking taylor expansion of 0.5 in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.452 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.452 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.453 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.453 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.453 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.453 * [taylor]: Taking taylor expansion of 0.5 in x 2.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.453 * [taylor]: Taking taylor expansion of -1 in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.453 * [taylor]: Taking taylor expansion of -1 in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.457 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.457 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.457 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.457 * [taylor]: Taking taylor expansion of -1 in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.470 * [taylor]: Taking taylor expansion of 0.5 in x 2.471 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.612 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.612 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (* x x) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.616 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.616 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (* x x) in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.664 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.664 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.664 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.664 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.665 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in x 2.670 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.670 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in x 2.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.693 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.693 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.693 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.693 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.693 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.693 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.694 * [taylor]: Taking taylor expansion of -1 in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.694 * [taylor]: Taking taylor expansion of -1 in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.697 * [taylor]: Taking taylor expansion of 1.0 in x 2.697 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.697 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.697 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.697 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.697 * [taylor]: Taking taylor expansion of 1.0 in x 2.697 * [taylor]: Taking taylor expansion of 1.0 in x 2.697 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.697 * [taylor]: Taking taylor expansion of -1 in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.698 * [taylor]: Taking taylor expansion of -1 in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.721 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.721 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.721 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.721 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.722 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.722 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.722 * [taylor]: Taking taylor expansion of 1.0 in x 2.722 * [taylor]: Taking taylor expansion of 1.0 in x 2.722 * [taylor]: Taking taylor expansion of (* x x) in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.733 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.733 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.733 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of (* x x) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.775 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.775 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.775 * [taylor]: Taking taylor expansion of 1.0 in x 2.775 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.775 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.775 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.775 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.775 * [taylor]: Taking taylor expansion of 1.0 in x 2.775 * [taylor]: Taking taylor expansion of 1.0 in x 2.775 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.775 * [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 (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 (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 2.779 * [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 (* (/ 1 x) (/ 1 x)) in x 2.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.779 * [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 2.803 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.803 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.803 * [taylor]: Taking taylor expansion of -1 in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.804 * [taylor]: Taking taylor expansion of -1 in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.807 * [taylor]: Taking taylor expansion of 1.0 in x 2.807 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.807 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.807 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.807 * [taylor]: Taking taylor expansion of 1.0 in x 2.807 * [taylor]: Taking taylor expansion of 1.0 in x 2.807 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.808 * [taylor]: Taking taylor expansion of -1 in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.839 * * * [progress]: simplifying candidates 2.841 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (/ 1.0 (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 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0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (* 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))))) 2.852 * * [simplify]: iteration 0 : 764 enodes (cost 1571 ) 2.866 * * [simplify]: iteration 1 : 3539 enodes (cost 1461 ) 2.922 * * [simplify]: iteration 2 : 5001 enodes (cost 1448 ) 2.929 * [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) 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0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (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 (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (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)))))) 2.930 * * * [progress]: adding candidates to table 3.365 * * [progress]: iteration 3 / 4 3.365 * * * [progress]: picking best candidate 3.389 * * * * [pick]: Picked # 3.389 * * * [progress]: localizing error 3.407 * * * [progress]: generating rewritten candidates 3.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.413 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.419 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 3.425 * * * [progress]: generating series expansions 3.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.425 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.425 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [taylor]: Taking taylor expansion of (* x x) in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.429 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.429 * [taylor]: Taking taylor expansion of 1.0 in x 3.429 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.429 * [taylor]: Taking taylor expansion of 1.0 in x 3.429 * [taylor]: Taking taylor expansion of 1.0 in x 3.429 * [taylor]: Taking taylor expansion of (* x x) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.477 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.477 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.477 * [taylor]: Taking taylor expansion of 1.0 in x 3.477 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.477 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.477 * [taylor]: Taking taylor expansion of 1.0 in x 3.477 * [taylor]: Taking taylor expansion of 1.0 in x 3.477 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.481 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.481 * [taylor]: Taking taylor expansion of 1.0 in x 3.481 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.481 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.481 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.481 * [taylor]: Taking taylor expansion of 1.0 in x 3.481 * [taylor]: Taking taylor expansion of 1.0 in x 3.481 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.505 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.505 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.505 * [taylor]: Taking taylor expansion of 1.0 in x 3.505 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.505 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.505 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.505 * [taylor]: Taking taylor expansion of 1.0 in x 3.505 * [taylor]: Taking taylor expansion of 1.0 in x 3.505 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.505 * [taylor]: Taking taylor expansion of -1 in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.505 * [taylor]: Taking taylor expansion of -1 in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.509 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.509 * [taylor]: Taking taylor expansion of 1.0 in x 3.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.509 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.509 * [taylor]: Taking taylor expansion of 1.0 in x 3.509 * [taylor]: Taking taylor expansion of 1.0 in x 3.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.509 * [taylor]: Taking taylor expansion of -1 in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.509 * [taylor]: Taking taylor expansion of -1 in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.534 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.534 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.535 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.535 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.535 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.535 * [taylor]: Taking taylor expansion of 0.5 in x 3.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.535 * [taylor]: Taking taylor expansion of 1.0 in x 3.535 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.535 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.535 * [taylor]: Taking taylor expansion of 1.0 in x 3.535 * [taylor]: Taking taylor expansion of 1.0 in x 3.535 * [taylor]: Taking taylor expansion of (* x x) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.538 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.538 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.538 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.538 * [taylor]: Taking taylor expansion of 0.5 in x 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.538 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (* x x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.644 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.644 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.644 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.644 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.644 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.644 * [taylor]: Taking taylor expansion of 0.5 in x 3.644 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.644 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.644 * [taylor]: Taking taylor expansion of 1.0 in x 3.644 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.644 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.644 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.644 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.644 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.644 * [taylor]: Taking taylor expansion of 1.0 in x 3.644 * [taylor]: Taking taylor expansion of 1.0 in x 3.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.645 * [taylor]: Taking taylor expansion of x in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.648 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.648 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.648 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.648 * [taylor]: Taking taylor expansion of 0.5 in x 3.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.671 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.671 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.671 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.671 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.671 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.671 * [taylor]: Taking taylor expansion of 0.5 in x 3.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.671 * [taylor]: Taking taylor expansion of 1.0 in x 3.671 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.671 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.671 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.671 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.671 * [taylor]: Taking taylor expansion of 1.0 in x 3.671 * [taylor]: Taking taylor expansion of 1.0 in x 3.671 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.671 * [taylor]: Taking taylor expansion of -1 in x 3.671 * [taylor]: Taking taylor expansion of x in x 3.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.672 * [taylor]: Taking taylor expansion of -1 in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.675 * [taylor]: Taking taylor expansion of 1.0 in x 3.675 * [taylor]: Taking taylor expansion of 1.0 in x 3.675 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.675 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.675 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.675 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.675 * [taylor]: Taking taylor expansion of 0.5 in x 3.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.675 * [taylor]: Taking taylor expansion of 1.0 in x 3.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.675 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.676 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.676 * [taylor]: Taking taylor expansion of 1.0 in x 3.676 * [taylor]: Taking taylor expansion of 1.0 in x 3.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.676 * [taylor]: Taking taylor expansion of -1 in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.676 * [taylor]: Taking taylor expansion of -1 in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.698 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.699 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.699 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.699 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.700 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.700 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.700 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.700 * [taylor]: Taking taylor expansion of 0.5 in x 3.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.700 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.700 * [taylor]: Taking taylor expansion of 1.0 in x 3.700 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.700 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.700 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.700 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.700 * [taylor]: Taking taylor expansion of 1.0 in x 3.700 * [taylor]: Taking taylor expansion of 1.0 in x 3.700 * [taylor]: Taking taylor expansion of (* x x) in x 3.700 * [taylor]: Taking taylor expansion of x 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 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.703 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.703 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.703 * [taylor]: Taking taylor expansion of 0.5 in x 3.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.704 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.704 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of (* x x) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.713 * [taylor]: Taking taylor expansion of 1.0 in x 3.739 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.740 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.740 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.740 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.740 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.740 * [taylor]: Taking taylor expansion of 0.5 in x 3.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.740 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.740 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [taylor]: Taking taylor expansion of (* x x) in x 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [taylor]: Taking taylor expansion of x in x 3.743 * [taylor]: Taking taylor expansion of 1.0 in x 3.743 * [taylor]: Taking taylor expansion of 1.0 in x 3.743 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.743 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.743 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.743 * [taylor]: Taking taylor expansion of 0.5 in x 3.744 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.744 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.744 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.744 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.744 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of 1.0 in x 3.744 * [taylor]: Taking taylor expansion of (* x x) in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.747 * [taylor]: Taking taylor expansion of 1.0 in x 3.753 * [taylor]: Taking taylor expansion of 1.0 in x 4.630 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.630 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.630 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.630 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.630 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.630 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.630 * [taylor]: Taking taylor expansion of 0.5 in x 4.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.630 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.630 * [taylor]: Taking taylor expansion of 1.0 in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.630 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.630 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.630 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.630 * [taylor]: Taking taylor expansion of 1.0 in x 4.630 * [taylor]: Taking taylor expansion of 1.0 in x 4.630 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.634 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.634 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.634 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.634 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.638 * [taylor]: Taking taylor expansion of 1.0 in x 4.640 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.640 * [taylor]: Taking taylor expansion of 0.5 in x 4.641 * [taylor]: Taking taylor expansion of 1.0 in x 4.646 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.646 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.646 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.646 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.646 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.646 * [taylor]: Taking taylor expansion of 0.5 in x 4.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.646 * [taylor]: Taking taylor expansion of 1.0 in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.647 * [taylor]: Taking taylor expansion of 1.0 in x 4.647 * [taylor]: Taking taylor expansion of 1.0 in x 4.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.650 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.650 * [taylor]: Taking taylor expansion of x in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.654 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.656 * [taylor]: Taking taylor expansion of 0.5 in x 4.657 * [taylor]: Taking taylor expansion of 1.0 in x 4.810 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.810 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.810 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.811 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.811 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.811 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.811 * [taylor]: Taking taylor expansion of 0.5 in x 4.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.811 * [taylor]: Taking taylor expansion of 1.0 in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.811 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.811 * [taylor]: Taking taylor expansion of 1.0 in x 4.811 * [taylor]: Taking taylor expansion of 1.0 in x 4.811 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.811 * [taylor]: Taking taylor expansion of -1 in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.811 * [taylor]: Taking taylor expansion of -1 in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.815 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.815 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.815 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.815 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.815 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.815 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.815 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.815 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.815 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.815 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.815 * [taylor]: Taking taylor expansion of -1 in x 4.815 * [taylor]: Taking taylor expansion of x in x 4.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.816 * [taylor]: Taking taylor expansion of -1 in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.821 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.821 * [taylor]: Taking taylor expansion of 0.5 in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.827 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.827 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.827 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.827 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.827 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.827 * [taylor]: Taking taylor expansion of 0.5 in x 4.827 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.827 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.827 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.828 * [taylor]: Taking taylor expansion of -1 in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.828 * [taylor]: Taking taylor expansion of -1 in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.831 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.831 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.832 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.832 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.832 * [taylor]: Taking taylor expansion of -1 in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.832 * [taylor]: Taking taylor expansion of -1 in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.835 * [taylor]: Taking taylor expansion of 1.0 in x 4.837 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.838 * [taylor]: Taking taylor expansion of 0.5 in x 4.838 * [taylor]: Taking taylor expansion of 1.0 in x 4.988 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 4.988 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.988 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.988 * [taylor]: Taking taylor expansion of 1.0 in x 4.988 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.988 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.988 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.988 * [taylor]: Taking taylor expansion of 1.0 in x 4.988 * [taylor]: Taking taylor expansion of 1.0 in x 4.988 * [taylor]: Taking taylor expansion of (* x x) in x 4.988 * [taylor]: Taking taylor expansion of x in x 4.988 * [taylor]: Taking taylor expansion of x in x 4.991 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.991 * [taylor]: Taking taylor expansion of 1.0 in x 4.991 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.991 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.991 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.991 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.991 * [taylor]: Taking taylor expansion of 1.0 in x 4.991 * [taylor]: Taking taylor expansion of 1.0 in x 4.991 * [taylor]: Taking taylor expansion of (* x x) in x 4.991 * [taylor]: Taking taylor expansion of x in x 4.991 * [taylor]: Taking taylor expansion of x in x 5.042 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.042 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.042 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.042 * [taylor]: Taking taylor expansion of x in x 5.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.043 * [taylor]: Taking taylor expansion of x in x 5.046 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.046 * [taylor]: Taking taylor expansion of 1.0 in x 5.046 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.046 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.046 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.046 * [taylor]: Taking taylor expansion of 1.0 in x 5.046 * [taylor]: Taking taylor expansion of 1.0 in x 5.046 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.046 * [taylor]: Taking taylor expansion of x in x 5.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.047 * [taylor]: Taking taylor expansion of x in x 5.071 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.071 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.071 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.071 * [taylor]: Taking taylor expansion of -1 in x 5.071 * [taylor]: Taking taylor expansion of x in x 5.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.072 * [taylor]: Taking taylor expansion of -1 in x 5.072 * [taylor]: Taking taylor expansion of x in x 5.075 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.075 * [taylor]: Taking taylor expansion of 1.0 in x 5.075 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.075 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.075 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.075 * [taylor]: Taking taylor expansion of 1.0 in x 5.075 * [taylor]: Taking taylor expansion of 1.0 in x 5.075 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.075 * [taylor]: Taking taylor expansion of -1 in x 5.075 * [taylor]: Taking taylor expansion of x in x 5.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.076 * [taylor]: Taking taylor expansion of -1 in x 5.076 * [taylor]: Taking taylor expansion of x in x 5.100 * * * [progress]: simplifying candidates 5.102 * [simplify]: Simplifying using # : (expm1 (log (exp (/ 1.0 (hypot 1.0 x))))) (log1p (log (exp (/ 1.0 (hypot 1.0 x))))) (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log 1) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (exp (/ 1.0 (hypot 1.0 x))))) (exp (log (exp (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (* (* (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (expm1 (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x)))))) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) 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0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) 1)) (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 (- 0.5) (/ (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 0.25 (/ (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 (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (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)))))) 5.201 * * * [progress]: adding candidates to table 5.662 * * [progress]: iteration 4 / 4 5.662 * * * [progress]: picking best candidate 5.674 * * * * [pick]: Picked # 5.674 * * * [progress]: localizing error 5.699 * * * [progress]: generating rewritten candidates 5.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2) 5.704 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.705 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 5.720 * * * [progress]: generating series expansions 5.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2) 5.720 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.720 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.720 * [taylor]: Taking taylor expansion of 1.0 in x 5.720 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.720 * [taylor]: Taking taylor expansion of 1.0 in x 5.720 * [taylor]: Taking taylor expansion of 1.0 in x 5.720 * [taylor]: Taking taylor expansion of (* x x) in x 5.720 * [taylor]: Taking taylor expansion of x in x 5.720 * [taylor]: Taking taylor expansion of x in x 5.728 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.728 * [taylor]: Taking taylor expansion of 1.0 in x 5.728 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.728 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.728 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.728 * [taylor]: Taking taylor expansion of 1.0 in x 5.728 * [taylor]: Taking taylor expansion of 1.0 in x 5.728 * [taylor]: Taking taylor expansion of (* x x) in x 5.728 * [taylor]: Taking taylor expansion of x in x 5.728 * [taylor]: Taking taylor expansion of x in x 5.771 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.771 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.771 * [taylor]: Taking taylor expansion of 1.0 in x 5.771 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.771 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.771 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.771 * [taylor]: Taking taylor expansion of 1.0 in x 5.771 * [taylor]: Taking taylor expansion of 1.0 in x 5.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.771 * [taylor]: Taking taylor expansion of x in x 5.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.771 * [taylor]: Taking taylor expansion of x in x 5.774 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.774 * [taylor]: Taking taylor expansion of 1.0 in x 5.774 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.775 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.775 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.775 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.775 * [taylor]: Taking taylor expansion of 1.0 in x 5.775 * [taylor]: Taking taylor expansion of 1.0 in x 5.775 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.775 * [taylor]: Taking taylor expansion of x in x 5.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.775 * [taylor]: Taking taylor expansion of x in x 5.808 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.808 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.808 * [taylor]: Taking taylor expansion of 1.0 in x 5.808 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.808 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.808 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.808 * [taylor]: Taking taylor expansion of 1.0 in x 5.808 * [taylor]: Taking taylor expansion of 1.0 in x 5.808 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.808 * [taylor]: Taking taylor expansion of -1 in x 5.808 * [taylor]: Taking taylor expansion of x in x 5.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.809 * [taylor]: Taking taylor expansion of -1 in x 5.809 * [taylor]: Taking taylor expansion of x in x 5.812 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.812 * [taylor]: Taking taylor expansion of 1.0 in x 5.812 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.812 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.812 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.812 * [taylor]: Taking taylor expansion of 1.0 in x 5.812 * [taylor]: Taking taylor expansion of 1.0 in x 5.812 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.812 * [taylor]: Taking taylor expansion of -1 in x 5.812 * [taylor]: Taking taylor expansion of x in x 5.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.813 * [taylor]: Taking taylor expansion of -1 in x 5.813 * [taylor]: Taking taylor expansion of x in x 5.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.838 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 5.838 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.838 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.838 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.838 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.838 * [taylor]: Taking taylor expansion of 0.5 in x 5.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.838 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.838 * [taylor]: Taking taylor expansion of 1.0 in x 5.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.838 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.838 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.838 * [taylor]: Taking taylor expansion of 1.0 in x 5.838 * [taylor]: Taking taylor expansion of 1.0 in x 5.838 * [taylor]: Taking taylor expansion of (* x x) in x 5.838 * [taylor]: Taking taylor expansion of x in x 5.838 * [taylor]: Taking taylor expansion of x in x 5.841 * [taylor]: Taking taylor expansion of 1.0 in x 5.841 * [taylor]: Taking taylor expansion of 1.0 in x 5.841 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.841 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.842 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.842 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.842 * [taylor]: Taking taylor expansion of 0.5 in x 5.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.842 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.842 * [taylor]: Taking taylor expansion of 1.0 in x 5.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.842 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.842 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.842 * [taylor]: Taking taylor expansion of 1.0 in x 5.842 * [taylor]: Taking taylor expansion of 1.0 in x 5.842 * [taylor]: Taking taylor expansion of (* x x) in x 5.842 * [taylor]: Taking taylor expansion of x in x 5.842 * [taylor]: Taking taylor expansion of x in x 5.845 * [taylor]: Taking taylor expansion of 1.0 in x 5.845 * [taylor]: Taking taylor expansion of 1.0 in x 5.942 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 5.942 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.942 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.942 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.942 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.942 * [taylor]: Taking taylor expansion of 0.5 in x 5.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.942 * [taylor]: Taking taylor expansion of 1.0 in x 5.943 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.943 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.943 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.943 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.943 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.943 * [taylor]: Taking taylor expansion of 1.0 in x 5.943 * [taylor]: Taking taylor expansion of 1.0 in x 5.943 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.943 * [taylor]: Taking taylor expansion of x in x 5.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.943 * [taylor]: Taking taylor expansion of x in x 5.946 * [taylor]: Taking taylor expansion of 1.0 in x 5.946 * [taylor]: Taking taylor expansion of 1.0 in x 5.946 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.947 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.947 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.947 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.947 * [taylor]: Taking taylor expansion of 0.5 in x 5.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.947 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.947 * [taylor]: Taking taylor expansion of 1.0 in x 5.947 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.947 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.947 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.947 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.947 * [taylor]: Taking taylor expansion of 1.0 in x 5.947 * [taylor]: Taking taylor expansion of 1.0 in x 5.947 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.947 * [taylor]: Taking taylor expansion of x in x 5.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.947 * [taylor]: Taking taylor expansion of x in x 5.950 * [taylor]: Taking taylor expansion of 1.0 in x 5.950 * [taylor]: Taking taylor expansion of 1.0 in x 5.978 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 5.978 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.978 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.978 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.978 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.978 * [taylor]: Taking taylor expansion of 0.5 in x 5.978 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.979 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.979 * [taylor]: Taking taylor expansion of 1.0 in x 5.979 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.979 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.979 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.979 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.979 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.979 * [taylor]: Taking taylor expansion of 1.0 in x 5.979 * [taylor]: Taking taylor expansion of 1.0 in x 5.979 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.979 * [taylor]: Taking taylor expansion of -1 in x 5.979 * [taylor]: Taking taylor expansion of x in x 5.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.979 * [taylor]: Taking taylor expansion of -1 in x 5.979 * [taylor]: Taking taylor expansion of x in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.983 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.983 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.983 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.983 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.983 * [taylor]: Taking taylor expansion of 0.5 in x 5.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.983 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.983 * [taylor]: Taking taylor expansion of 1.0 in x 5.983 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.983 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.983 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.983 * [taylor]: Taking taylor expansion of 1.0 in x 5.983 * [taylor]: Taking taylor expansion of 1.0 in x 5.983 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.983 * [taylor]: Taking taylor expansion of -1 in x 5.983 * [taylor]: Taking taylor expansion of x in x 5.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.983 * [taylor]: Taking taylor expansion of -1 in x 5.983 * [taylor]: Taking taylor expansion of x in x 5.987 * [taylor]: Taking taylor expansion of 1.0 in x 5.987 * [taylor]: Taking taylor expansion of 1.0 in x 6.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.007 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in (x) around 0 6.007 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 6.007 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.007 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.007 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.007 * [taylor]: Taking taylor expansion of 0.5 in x 6.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.008 * [taylor]: Taking taylor expansion of 1.0 in x 6.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.008 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.008 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.008 * [taylor]: Taking taylor expansion of 1.0 in x 6.008 * [taylor]: Taking taylor expansion of 1.0 in x 6.008 * [taylor]: Taking taylor expansion of (* x x) in x 6.008 * [taylor]: Taking taylor expansion of x in x 6.008 * [taylor]: Taking taylor expansion of x in x 6.011 * [taylor]: Taking taylor expansion of 1.0 in x 6.017 * [taylor]: Taking taylor expansion of 1.0 in x 6.017 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.017 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.017 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.017 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.017 * [taylor]: Taking taylor expansion of 0.5 in x 6.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.017 * [taylor]: Taking taylor expansion of 1.0 in x 6.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.017 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.018 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.018 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.018 * [taylor]: Taking taylor expansion of 1.0 in x 6.018 * [taylor]: Taking taylor expansion of 1.0 in x 6.018 * [taylor]: Taking taylor expansion of (* x x) in x 6.018 * [taylor]: Taking taylor expansion of x in x 6.018 * [taylor]: Taking taylor expansion of x in x 6.021 * [taylor]: Taking taylor expansion of 1.0 in x 6.021 * [taylor]: Taking taylor expansion of 1.0 in x 6.041 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 6.041 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.041 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.041 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.041 * [taylor]: Taking taylor expansion of 0.5 in x 6.042 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.042 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.042 * [taylor]: Taking taylor expansion of 1.0 in x 6.042 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.042 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.042 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.042 * [taylor]: Taking taylor expansion of 1.0 in x 6.042 * [taylor]: Taking taylor expansion of 1.0 in x 6.042 * [taylor]: Taking taylor expansion of (* x x) in x 6.042 * [taylor]: Taking taylor expansion of x in x 6.042 * [taylor]: Taking taylor expansion of x in x 6.046 * [taylor]: Taking taylor expansion of 1.0 in x 6.052 * [taylor]: Taking taylor expansion of 1.0 in x 6.052 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.052 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.052 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.052 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.052 * [taylor]: Taking taylor expansion of 0.5 in x 6.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.052 * [taylor]: Taking taylor expansion of 1.0 in x 6.052 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.052 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.053 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.053 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.053 * [taylor]: Taking taylor expansion of 1.0 in x 6.053 * [taylor]: Taking taylor expansion of 1.0 in x 6.053 * [taylor]: Taking taylor expansion of (* x x) in x 6.053 * [taylor]: Taking taylor expansion of x in x 6.053 * [taylor]: Taking taylor expansion of x in x 6.063 * [taylor]: Taking taylor expansion of 1.0 in x 6.063 * [taylor]: Taking taylor expansion of 1.0 in x 6.772 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in (x) around 0 6.772 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 6.772 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.772 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.772 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.772 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.772 * [taylor]: Taking taylor expansion of 1.0 in x 6.772 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.772 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.772 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.772 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.772 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.772 * [taylor]: Taking taylor expansion of 1.0 in x 6.772 * [taylor]: Taking taylor expansion of 1.0 in x 6.772 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.772 * [taylor]: Taking taylor expansion of x in x 6.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.773 * [taylor]: Taking taylor expansion of x in x 6.776 * [taylor]: Taking taylor expansion of 1.0 in x 6.778 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.778 * [taylor]: Taking taylor expansion of 0.5 in x 6.779 * [taylor]: Taking taylor expansion of 1.0 in x 6.779 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.779 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.779 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.779 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.779 * [taylor]: Taking taylor expansion of 0.5 in x 6.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.779 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.779 * [taylor]: Taking taylor expansion of 1.0 in x 6.779 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.779 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.779 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.779 * [taylor]: Taking taylor expansion of 1.0 in x 6.779 * [taylor]: Taking taylor expansion of 1.0 in x 6.779 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.779 * [taylor]: Taking taylor expansion of x in x 6.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.779 * [taylor]: Taking taylor expansion of x in x 6.783 * [taylor]: Taking taylor expansion of 1.0 in x 6.783 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 6.788 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.789 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.789 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.789 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.789 * [taylor]: Taking taylor expansion of 1.0 in x 6.789 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.789 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.789 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.789 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.789 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.789 * [taylor]: Taking taylor expansion of 1.0 in x 6.789 * [taylor]: Taking taylor expansion of 1.0 in x 6.789 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.789 * [taylor]: Taking taylor expansion of x in x 6.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.789 * [taylor]: Taking taylor expansion of x in x 6.792 * [taylor]: Taking taylor expansion of 1.0 in x 6.794 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.794 * [taylor]: Taking taylor expansion of 0.5 in x 6.795 * [taylor]: Taking taylor expansion of 1.0 in x 6.795 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.795 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.795 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.795 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.795 * [taylor]: Taking taylor expansion of 0.5 in x 6.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.795 * [taylor]: Taking taylor expansion of 1.0 in x 6.795 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.796 * [taylor]: Taking taylor expansion of 1.0 in x 6.796 * [taylor]: Taking taylor expansion of 1.0 in x 6.796 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.799 * [taylor]: Taking taylor expansion of 1.0 in x 6.799 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in (x) around 0 6.886 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 6.886 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.886 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.887 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.887 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.887 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.887 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.887 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.887 * [taylor]: Taking taylor expansion of -1 in x 6.887 * [taylor]: Taking taylor expansion of x in x 6.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.887 * [taylor]: Taking taylor expansion of -1 in x 6.887 * [taylor]: Taking taylor expansion of x in x 6.890 * [taylor]: Taking taylor expansion of 1.0 in x 6.893 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.893 * [taylor]: Taking taylor expansion of 0.5 in x 6.893 * [taylor]: Taking taylor expansion of 1.0 in x 6.893 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.893 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.893 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.893 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.894 * [taylor]: Taking taylor expansion of 0.5 in x 6.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.894 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.894 * [taylor]: Taking taylor expansion of 1.0 in x 6.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.894 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.894 * [taylor]: Taking taylor expansion of 1.0 in x 6.894 * [taylor]: Taking taylor expansion of 1.0 in x 6.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.894 * [taylor]: Taking taylor expansion of -1 in x 6.894 * [taylor]: Taking taylor expansion of x in x 6.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.894 * [taylor]: Taking taylor expansion of -1 in x 6.894 * [taylor]: Taking taylor expansion of x in x 6.897 * [taylor]: Taking taylor expansion of 1.0 in x 6.897 * [taylor]: Taking taylor expansion of 1.0 in x 6.903 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 6.903 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.903 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.903 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.903 * [taylor]: Taking taylor expansion of 1.0 in x 6.903 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.903 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.903 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.903 * [taylor]: Taking taylor expansion of 1.0 in x 6.903 * [taylor]: Taking taylor expansion of 1.0 in x 6.903 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.903 * [taylor]: Taking taylor expansion of -1 in x 6.903 * [taylor]: Taking taylor expansion of x in x 6.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.904 * [taylor]: Taking taylor expansion of -1 in x 6.904 * [taylor]: Taking taylor expansion of x in x 6.907 * [taylor]: Taking taylor expansion of 1.0 in x 6.909 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.909 * [taylor]: Taking taylor expansion of 0.5 in x 6.910 * [taylor]: Taking taylor expansion of 1.0 in x 6.910 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.910 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.910 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.910 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.910 * [taylor]: Taking taylor expansion of 0.5 in x 6.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.910 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.910 * [taylor]: Taking taylor expansion of 1.0 in x 6.910 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.910 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.910 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.910 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.910 * [taylor]: Taking taylor expansion of 1.0 in x 6.910 * [taylor]: Taking taylor expansion of 1.0 in x 6.910 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.910 * [taylor]: Taking taylor expansion of -1 in x 6.910 * [taylor]: Taking taylor expansion of x in x 6.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.911 * [taylor]: Taking taylor expansion of -1 in x 6.911 * [taylor]: Taking taylor expansion of x in x 6.914 * [taylor]: Taking taylor expansion of 1.0 in x 6.914 * [taylor]: Taking taylor expansion of 1.0 in x 7.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 7.002 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 7.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.002 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.002 * [taylor]: Taking taylor expansion of 1.0 in x 7.002 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.002 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.002 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.002 * [taylor]: Taking taylor expansion of 1.0 in x 7.002 * [taylor]: Taking taylor expansion of 1.0 in x 7.002 * [taylor]: Taking taylor expansion of (* x x) in x 7.002 * [taylor]: Taking taylor expansion of x in x 7.002 * [taylor]: Taking taylor expansion of x in x 7.006 * [taylor]: Taking taylor expansion of 1.0 in x 7.006 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.006 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.006 * [taylor]: Taking taylor expansion of 1.0 in x 7.006 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.006 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.006 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.006 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.006 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.006 * [taylor]: Taking taylor expansion of 1.0 in x 7.006 * [taylor]: Taking taylor expansion of 1.0 in x 7.006 * [taylor]: Taking taylor expansion of (* x x) in x 7.006 * [taylor]: Taking taylor expansion of x in x 7.006 * [taylor]: Taking taylor expansion of x in x 7.009 * [taylor]: Taking taylor expansion of 1.0 in x 7.079 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 7.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.079 * [taylor]: Taking taylor expansion of 1.0 in x 7.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.079 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.079 * [taylor]: Taking taylor expansion of 1.0 in x 7.079 * [taylor]: Taking taylor expansion of 1.0 in x 7.079 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.079 * [taylor]: Taking taylor expansion of x in x 7.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.079 * [taylor]: Taking taylor expansion of x in x 7.083 * [taylor]: Taking taylor expansion of 1.0 in x 7.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.083 * [taylor]: Taking taylor expansion of 1.0 in x 7.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.083 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.083 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.083 * [taylor]: Taking taylor expansion of 1.0 in x 7.083 * [taylor]: Taking taylor expansion of 1.0 in x 7.083 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.083 * [taylor]: Taking taylor expansion of x in x 7.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.084 * [taylor]: Taking taylor expansion of x in x 7.087 * [taylor]: Taking taylor expansion of 1.0 in x 7.098 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 7.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.098 * [taylor]: Taking taylor expansion of 1.0 in x 7.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.098 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.098 * [taylor]: Taking taylor expansion of 1.0 in x 7.098 * [taylor]: Taking taylor expansion of 1.0 in x 7.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.098 * [taylor]: Taking taylor expansion of -1 in x 7.098 * [taylor]: Taking taylor expansion of x in x 7.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.098 * [taylor]: Taking taylor expansion of -1 in x 7.098 * [taylor]: Taking taylor expansion of x in x 7.102 * [taylor]: Taking taylor expansion of 1.0 in x 7.102 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.102 * [taylor]: Taking taylor expansion of 1.0 in x 7.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.102 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.102 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.102 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.102 * [taylor]: Taking taylor expansion of 1.0 in x 7.102 * [taylor]: Taking taylor expansion of 1.0 in x 7.102 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.102 * [taylor]: Taking taylor expansion of -1 in x 7.102 * [taylor]: Taking taylor expansion of x in x 7.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.102 * [taylor]: Taking taylor expansion of -1 in x 7.102 * [taylor]: Taking taylor expansion of x in x 7.106 * [taylor]: Taking taylor expansion of 1.0 in x 7.126 * * * [progress]: simplifying candidates 7.127 * [simplify]: Simplifying using # : (expm1 (log (exp (/ 1.0 (hypot 1.0 x))))) (log1p (log (exp (/ 1.0 (hypot 1.0 x))))) (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log 1) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (exp (/ 1.0 (hypot 1.0 x))))) (exp (log (exp (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (* (* (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (expm1 (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x)))))) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (expm1 (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (log1p (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (- (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (log (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (exp (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (* (cbrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))))) (cbrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (* (* (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (sqrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (sqrt (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))))) (/ (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1) (/ (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 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1.0))))) (fma 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (sqrt 0.5) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))))))))) (fma 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2))) (fma 0.03125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (- 0.5 (* 0.5 (/ 1 (sqrt 1.0))))))) (fma 0.25 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (/ (* (pow x 2) (sqrt 0.5)) (* (pow (sqrt 1.0) 3) (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) (fma 2.0 (/ 1 x) 2.0)))))) (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (- (fma 1.0 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (* (sqrt 1.0) (sqrt 0.5)) 2.0))) (fma 1.0 (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma 2.0 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 2.0 (/ 1 x))))))) (fma 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)) 7.211 * * * [progress]: adding candidates to table 7.806 * [progress]: [Phase 3 of 3] Extracting. 7.806 * * [regime]: Finding splitpoints for: (# # #) 7.808 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 7.808 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 7.833 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 7.854 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 7.880 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 7.899 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 7.923 * * * * [regimes]: Trying to branch on x from (# # #) 7.954 * * * [regime]: Found split indices: #