23.495 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.045 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.046 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.048 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.049 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.051 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.052 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.052 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.075 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.087 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.088 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.089 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.098 * [taylor]: Taking taylor expansion of 0.5 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.098 * [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 0.099 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.099 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.099 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [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 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.337 * [taylor]: Taking taylor expansion of 0.5 in x 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.343 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.389 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.429 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (* x x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.433 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.433 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.433 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (* x x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.494 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.495 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.498 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.515 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.515 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.515 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.529 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.529 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.530 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.530 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (* x x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.544 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.544 * [taylor]: Taking taylor expansion of 0.5 in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.545 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (* x x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.724 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.724 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.724 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.724 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.725 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.725 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.730 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.736 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.758 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.758 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.758 * [taylor]: Taking taylor expansion of -1 in x 0.758 * [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 -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.764 * [taylor]: Taking taylor expansion of 0.5 in x 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.770 * [taylor]: Taking taylor expansion of 0.5 in x 0.797 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.798 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (* x x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.801 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.801 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.801 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (* x x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.840 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.840 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.844 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.844 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.872 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.872 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.873 * [taylor]: Taking taylor expansion of -1 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.876 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.876 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.876 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.899 * * * [progress]: simplifying candidates 0.901 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 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))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 0.909 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.919 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 0.952 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 0.958 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 0.959 * * * [progress]: adding candidates to table 1.198 * * [progress]: iteration 2 / 4 1.198 * * * [progress]: picking best candidate 1.208 * * * * [pick]: Picked # 1.208 * * * [progress]: localizing error 1.220 * * * [progress]: generating rewritten candidates 1.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.237 * * * [progress]: generating series expansions 1.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.238 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.238 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.238 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.238 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.238 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.238 * [taylor]: Taking taylor expansion of 0.5 in x 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.238 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.238 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (* x x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.241 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.241 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.241 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.241 * [taylor]: Taking taylor expansion of 0.5 in x 1.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.241 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.242 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [taylor]: Taking taylor expansion of (* x x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.333 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.333 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.333 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.333 * [taylor]: Taking taylor expansion of 0.5 in x 1.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.337 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.337 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.337 * [taylor]: Taking taylor expansion of 0.5 in x 1.337 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.337 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.364 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.364 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.364 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.364 * [taylor]: Taking taylor expansion of 0.5 in x 1.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.364 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.364 * [taylor]: Taking taylor expansion of -1 in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.365 * [taylor]: Taking taylor expansion of -1 in x 1.365 * [taylor]: Taking taylor expansion of x 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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.368 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.368 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x)))) 1.0) in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 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 (* (/ -1 x) (/ -1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.368 * [taylor]: Taking taylor expansion of -1 in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.369 * [taylor]: Taking taylor expansion of -1 in x 1.369 * [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 1.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 1.389 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.389 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.389 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (* x x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.392 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.392 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (* x x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 1.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.474 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.474 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.474 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.474 * [taylor]: Taking taylor expansion of -1 in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.474 * [taylor]: Taking taylor expansion of -1 in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of 1.0 in x 1.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.477 * [taylor]: Taking taylor expansion of 1.0 in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.478 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.478 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.478 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.491 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.491 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.491 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (* x x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.494 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.494 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.494 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.494 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (* x x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 1.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.559 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.563 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.563 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.563 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 1.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.576 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.576 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.576 * [taylor]: Taking taylor expansion of -1 in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.577 * [taylor]: Taking taylor expansion of -1 in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.580 * [taylor]: Taking taylor expansion of -1 in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.580 * [taylor]: Taking taylor expansion of -1 in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.594 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.594 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.594 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.594 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.594 * [taylor]: Taking taylor expansion of 0.5 in x 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.595 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.595 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (* x x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.609 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.609 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.609 * [taylor]: Taking taylor expansion of 0.5 in x 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.610 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.610 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (* x x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.822 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.822 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.828 * [taylor]: Taking taylor expansion of 0.5 in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.829 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.829 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.834 * [taylor]: Taking taylor expansion of 0.5 in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.871 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.871 * [taylor]: Taking taylor expansion of -1 in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.872 * [taylor]: Taking taylor expansion of -1 in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.877 * [taylor]: Taking taylor expansion of 0.5 in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.878 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.878 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.878 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.878 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.878 * [taylor]: Taking taylor expansion of -1 in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.878 * [taylor]: Taking taylor expansion of -1 in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.883 * [taylor]: Taking taylor expansion of 0.5 in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * * * [progress]: simplifying candidates 1.915 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (/ 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 (/ 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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 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))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.921 * * [simplify]: iteration 0 : 412 enodes (cost 549 ) 1.929 * * [simplify]: iteration 1 : 1441 enodes (cost 494 ) 1.955 * * [simplify]: iteration 2 : 5001 enodes (cost 493 ) 1.958 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (/ 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 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 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 (/ 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 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 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 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 1.959 * * * [progress]: adding candidates to table 2.189 * * [progress]: iteration 3 / 4 2.189 * * * [progress]: picking best candidate 2.199 * * * * [pick]: Picked # 2.199 * * * [progress]: localizing error 2.215 * * * [progress]: generating rewritten candidates 2.215 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.218 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 2.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.232 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.232 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.232 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.232 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.232 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.232 * [taylor]: Taking taylor expansion of 0.5 in x 2.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.232 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.233 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.233 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (* x x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.236 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.236 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.236 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.236 * [taylor]: Taking taylor expansion of 0.5 in x 2.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.236 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.236 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.236 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of (* x x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.334 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.334 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.334 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.334 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.334 * [taylor]: Taking taylor expansion of 0.5 in x 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.335 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.338 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.338 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.338 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.338 * [taylor]: Taking taylor expansion of 0.5 in x 2.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.339 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of 1.0 in x 2.342 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.360 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.360 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.360 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.360 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.360 * [taylor]: Taking taylor expansion of 0.5 in x 2.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.360 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.360 * [taylor]: Taking taylor expansion of -1 in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.360 * [taylor]: Taking taylor expansion of -1 in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.364 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.364 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.364 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.364 * [taylor]: Taking taylor expansion of 0.5 in x 2.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.364 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.364 * [taylor]: Taking taylor expansion of -1 in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.364 * [taylor]: Taking taylor expansion of -1 in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.386 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.386 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.386 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.386 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.386 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.386 * [taylor]: Taking taylor expansion of 0.5 in x 2.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.386 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (* x x) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.389 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.389 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.389 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.389 * [taylor]: Taking taylor expansion of 0.5 in x 2.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.390 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.390 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.390 * [taylor]: Taking taylor expansion of (* x x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of 1.0 in x 2.393 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.483 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.483 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.483 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.483 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.483 * [taylor]: Taking taylor expansion of 0.5 in x 2.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.483 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.484 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.484 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.487 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.487 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.487 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.487 * [taylor]: Taking taylor expansion of 0.5 in x 2.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.487 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.515 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.515 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.515 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.515 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.515 * [taylor]: Taking taylor expansion of 0.5 in x 2.515 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.515 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.515 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.516 * [taylor]: Taking taylor expansion of -1 in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.516 * [taylor]: Taking taylor expansion of -1 in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.519 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.519 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.520 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.520 * [taylor]: Taking taylor expansion of 0.5 in x 2.520 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.520 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.520 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.520 * [taylor]: Taking taylor expansion of -1 in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.520 * [taylor]: Taking taylor expansion of -1 in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.523 * [taylor]: Taking taylor expansion of 1.0 in x 2.523 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 2.541 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 2.541 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.541 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.541 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.541 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.541 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of (* x x) in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.544 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.544 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (* x x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 2.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.610 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.610 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 2.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.627 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.627 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.627 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.627 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.627 * [taylor]: Taking taylor expansion of -1 in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.628 * [taylor]: Taking taylor expansion of -1 in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.631 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.631 * [taylor]: Taking taylor expansion of -1 in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.631 * [taylor]: Taking taylor expansion of -1 in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 2.645 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 2.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.645 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.645 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.645 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.645 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.645 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (* x x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.648 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of (* x x) in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.651 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 2.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.713 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.713 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.713 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.717 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.717 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.720 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 2.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.730 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.730 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.730 * [taylor]: Taking taylor expansion of -1 in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.731 * [taylor]: Taking taylor expansion of -1 in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.734 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.734 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.734 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of 1.0 in x 2.754 * * * [progress]: simplifying candidates 2.755 * [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 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (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)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 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))) 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))) 2.760 * * [simplify]: iteration 0 : 263 enodes (cost 531 ) 2.765 * * [simplify]: iteration 1 : 822 enodes (cost 468 ) 2.780 * * [simplify]: iteration 2 : 3994 enodes (cost 468 ) 2.858 * * [simplify]: iteration 3 : 5001 enodes (cost 460 ) 2.861 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (/ 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 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 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 (/ 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 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (fma (/ 1 x) (- (/ 0.25 (pow x 2)) 0.5) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (fma (/ 1 x) (- (/ 0.25 (pow x 2)) 0.5) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 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))))) (fma (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) 1.0) (fma (/ 1 x) (- (/ 0.5 (pow x 2)) 1.0) 1.0) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (fma (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) 1.0) (fma (/ 1 x) (- (/ 0.5 (pow x 2)) 1.0) 1.0) 2.861 * * * [progress]: adding candidates to table 3.097 * * [progress]: iteration 4 / 4 3.097 * * * [progress]: picking best candidate 3.105 * * * * [pick]: Picked # 3.105 * * * [progress]: localizing error 3.118 * * * [progress]: generating rewritten candidates 3.118 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.126 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.175 * * * [progress]: generating series expansions 3.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.177 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in (x) around 0 3.177 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 3.177 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.178 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 3.178 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.178 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.178 * [taylor]: Taking taylor expansion of 0.5 in x 3.179 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 3.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 3.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.179 * [taylor]: Taking taylor expansion of 1/4 in x 3.179 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.180 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.180 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.180 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of (* x x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.192 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 3.192 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.192 * [taylor]: Taking taylor expansion of 1.0 in x 3.193 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 3.193 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.193 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.193 * [taylor]: Taking taylor expansion of 0.5 in x 3.195 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 3.195 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 3.195 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.195 * [taylor]: Taking taylor expansion of 1/4 in x 3.195 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.195 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.195 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [taylor]: Taking taylor expansion of (* x x) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.198 * [taylor]: Taking taylor expansion of 1.0 in x 3.645 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in (x) around 0 3.645 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 3.645 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.645 * [taylor]: Taking taylor expansion of 1.0 in x 3.646 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 3.646 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 3.646 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 3.646 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.646 * [taylor]: Taking taylor expansion of 1/4 in x 3.646 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.646 * [taylor]: Taking taylor expansion of 1.0 in x 3.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.646 * [taylor]: Taking taylor expansion of 1.0 in x 3.646 * [taylor]: Taking taylor expansion of 1.0 in x 3.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.646 * [taylor]: Taking taylor expansion of x in x 3.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.647 * [taylor]: Taking taylor expansion of x in x 3.650 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.652 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.652 * [taylor]: Taking taylor expansion of 0.5 in x 3.653 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 3.653 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.653 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 3.654 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 3.654 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 3.654 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.654 * [taylor]: Taking taylor expansion of 1/4 in x 3.654 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.654 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.654 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.654 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.654 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.654 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of 1.0 in x 3.659 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.660 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.660 * [taylor]: Taking taylor expansion of 0.5 in x 3.727 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in (x) around 0 3.727 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 3.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.727 * [taylor]: Taking taylor expansion of 1.0 in x 3.728 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 3.728 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 3.728 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 3.728 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.728 * [taylor]: Taking taylor expansion of 1/4 in x 3.728 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.728 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.728 * [taylor]: Taking taylor expansion of 1.0 in x 3.728 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.728 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.728 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.728 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.728 * [taylor]: Taking taylor expansion of 1.0 in x 3.728 * [taylor]: Taking taylor expansion of 1.0 in x 3.728 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.728 * [taylor]: Taking taylor expansion of -1 in x 3.728 * [taylor]: Taking taylor expansion of x in x 3.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.728 * [taylor]: Taking taylor expansion of -1 in x 3.728 * [taylor]: Taking taylor expansion of x in x 3.731 * [taylor]: Taking taylor expansion of 1.0 in x 3.733 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.733 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.733 * [taylor]: Taking taylor expansion of 0.5 in x 3.735 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 3.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.735 * [taylor]: Taking taylor expansion of 1.0 in x 3.736 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 3.736 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 3.736 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 3.736 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.736 * [taylor]: Taking taylor expansion of 1/4 in x 3.736 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.736 * [taylor]: Taking taylor expansion of 1.0 in x 3.736 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.736 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.736 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.736 * [taylor]: Taking taylor expansion of 1.0 in x 3.736 * [taylor]: Taking taylor expansion of 1.0 in x 3.736 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.736 * [taylor]: Taking taylor expansion of -1 in x 3.736 * [taylor]: Taking taylor expansion of x in x 3.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.737 * [taylor]: Taking taylor expansion of -1 in x 3.737 * [taylor]: Taking taylor expansion of x in x 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.742 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.742 * [taylor]: Taking taylor expansion of 0.5 in x 3.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.809 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in (x) around 0 3.809 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 3.809 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.809 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.809 * [taylor]: Taking taylor expansion of 0.5 in x 3.811 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 3.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 3.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.811 * [taylor]: Taking taylor expansion of 1/4 in x 3.811 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.811 * [taylor]: Taking taylor expansion of 1.0 in x 3.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.811 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.811 * [taylor]: Taking taylor expansion of 1.0 in x 3.811 * [taylor]: Taking taylor expansion of 1.0 in x 3.811 * [taylor]: Taking taylor expansion of (* x x) in x 3.811 * [taylor]: Taking taylor expansion of x in x 3.811 * [taylor]: Taking taylor expansion of x in x 3.814 * [taylor]: Taking taylor expansion of 1.0 in x 3.823 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 3.823 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 3.823 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.823 * [taylor]: Taking taylor expansion of 0.5 in x 3.825 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 3.825 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 3.825 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.825 * [taylor]: Taking taylor expansion of 1/4 in x 3.825 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.825 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of (* x x) in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.179 * [approximate]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in (x) around 0 4.179 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.179 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 4.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 4.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.179 * [taylor]: Taking taylor expansion of 1/4 in x 4.179 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.179 * [taylor]: Taking taylor expansion of 1.0 in x 4.179 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.179 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.179 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.179 * [taylor]: Taking taylor expansion of 1.0 in x 4.179 * [taylor]: Taking taylor expansion of 1.0 in x 4.179 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.183 * [taylor]: Taking taylor expansion of 1.0 in x 4.185 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.185 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.185 * [taylor]: Taking taylor expansion of 0.5 in x 4.187 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.187 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 4.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 4.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.187 * [taylor]: Taking taylor expansion of 1/4 in x 4.187 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.187 * [taylor]: Taking taylor expansion of 1.0 in x 4.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.187 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.187 * [taylor]: Taking taylor expansion of 1.0 in x 4.187 * [taylor]: Taking taylor expansion of 1.0 in x 4.187 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.187 * [taylor]: Taking taylor expansion of x in x 4.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.187 * [taylor]: Taking taylor expansion of x in x 4.190 * [taylor]: Taking taylor expansion of 1.0 in x 4.192 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.192 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.192 * [taylor]: Taking taylor expansion of 0.5 in x 4.241 * [approximate]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in (x) around 0 4.241 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.242 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 4.242 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 4.242 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.242 * [taylor]: Taking taylor expansion of 1/4 in x 4.242 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.242 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.242 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.242 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.242 * [taylor]: Taking taylor expansion of -1 in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.242 * [taylor]: Taking taylor expansion of -1 in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.245 * [taylor]: Taking taylor expansion of 1.0 in x 4.247 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.247 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.248 * [taylor]: Taking taylor expansion of 0.5 in x 4.249 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.249 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 4.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 4.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.249 * [taylor]: Taking taylor expansion of 1/4 in x 4.249 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.249 * [taylor]: Taking taylor expansion of 1.0 in x 4.249 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.249 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.249 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.249 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.249 * [taylor]: Taking taylor expansion of 1.0 in x 4.250 * [taylor]: Taking taylor expansion of 1.0 in x 4.250 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.250 * [taylor]: Taking taylor expansion of -1 in x 4.250 * [taylor]: Taking taylor expansion of x in x 4.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.250 * [taylor]: Taking taylor expansion of -1 in x 4.250 * [taylor]: Taking taylor expansion of x in x 4.253 * [taylor]: Taking taylor expansion of 1.0 in x 4.255 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.255 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.255 * [taylor]: Taking taylor expansion of 0.5 in x 4.298 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.298 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in (x) around 0 4.299 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.299 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.299 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.299 * [taylor]: Taking taylor expansion of 0.5 in x 4.300 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.300 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.300 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.300 * [taylor]: Taking taylor expansion of 1/4 in x 4.300 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.301 * [taylor]: Taking taylor expansion of 1.0 in x 4.301 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.301 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.301 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.301 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.301 * [taylor]: Taking taylor expansion of 1.0 in x 4.301 * [taylor]: Taking taylor expansion of 1.0 in x 4.301 * [taylor]: Taking taylor expansion of (* x x) in x 4.301 * [taylor]: Taking taylor expansion of x in x 4.301 * [taylor]: Taking taylor expansion of x in x 4.304 * [taylor]: Taking taylor expansion of 1.0 in x 4.313 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.313 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.313 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.313 * [taylor]: Taking taylor expansion of 0.5 in x 4.314 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.314 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.314 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.314 * [taylor]: Taking taylor expansion of 1/4 in x 4.314 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.314 * [taylor]: Taking taylor expansion of 1.0 in x 4.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.315 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.315 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.315 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of (* x x) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.323 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [approximate]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in (x) around 0 4.674 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.674 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 4.674 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 4.674 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.674 * [taylor]: Taking taylor expansion of 1/4 in x 4.674 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.674 * [taylor]: Taking taylor expansion of x in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.680 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.680 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.680 * [taylor]: Taking taylor expansion of 0.5 in x 4.681 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.681 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 4.681 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 4.681 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 4.681 * [taylor]: Taking taylor expansion of 1/4 in x 4.681 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.681 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.681 * [taylor]: Taking taylor expansion of 1.0 in x 4.681 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.681 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.682 * [taylor]: Taking taylor expansion of 1.0 in x 4.682 * [taylor]: Taking taylor expansion of 1.0 in x 4.682 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.682 * [taylor]: Taking taylor expansion of x in x 4.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.682 * [taylor]: Taking taylor expansion of x in x 4.685 * [taylor]: Taking taylor expansion of 1.0 in x 4.687 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.687 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.687 * [taylor]: Taking taylor expansion of 0.5 in x 4.737 * [approximate]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in (x) around 0 4.737 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.737 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 4.737 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 4.737 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.737 * [taylor]: Taking taylor expansion of 1/4 in x 4.737 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.737 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.737 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.737 * [taylor]: Taking taylor expansion of -1 in x 4.737 * [taylor]: Taking taylor expansion of x in x 4.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.738 * [taylor]: Taking taylor expansion of -1 in x 4.738 * [taylor]: Taking taylor expansion of x in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.743 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.743 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.743 * [taylor]: Taking taylor expansion of 0.5 in x 4.744 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 4.744 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 4.744 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 4.744 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 4.744 * [taylor]: Taking taylor expansion of 1/4 in x 4.745 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.745 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.745 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.745 * [taylor]: Taking taylor expansion of -1 in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.745 * [taylor]: Taking taylor expansion of -1 in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.748 * [taylor]: Taking taylor expansion of 1.0 in x 4.750 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.750 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.750 * [taylor]: Taking taylor expansion of 0.5 in x 4.800 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.801 * [approximate]: Taking taylor expansion of (* (+ (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)))) in (x) around 0 4.801 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)))) in x 4.801 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 4.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.801 * [taylor]: Taking taylor expansion of 1.0 in x 4.802 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.802 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.802 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.802 * [taylor]: Taking taylor expansion of 0.5 in x 4.804 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.804 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.804 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.804 * [taylor]: Taking taylor expansion of 1/4 in x 4.804 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.804 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.804 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.804 * [taylor]: Taking taylor expansion of (* x x) in x 4.804 * [taylor]: Taking taylor expansion of x in x 4.804 * [taylor]: Taking taylor expansion of x in x 4.807 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 4.816 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.817 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.817 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.817 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.817 * [taylor]: Taking taylor expansion of 0.5 in x 4.819 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.819 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.819 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.819 * [taylor]: Taking taylor expansion of 1/4 in x 4.819 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.819 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.819 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.819 * [taylor]: Taking taylor expansion of (* x x) in x 4.819 * [taylor]: Taking taylor expansion of x in x 4.819 * [taylor]: Taking taylor expansion of x in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)))) in x 4.831 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 4.831 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.831 * [taylor]: Taking taylor expansion of 1.0 in x 4.832 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.832 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.832 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.832 * [taylor]: Taking taylor expansion of 0.5 in x 4.834 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.834 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.834 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.834 * [taylor]: Taking taylor expansion of 1/4 in x 4.834 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.834 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of (* x x) in x 4.834 * [taylor]: Taking taylor expansion of x in x 4.834 * [taylor]: Taking taylor expansion of x in x 4.837 * [taylor]: Taking taylor expansion of 1.0 in x 4.846 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4))) in x 4.846 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.846 * [taylor]: Taking taylor expansion of 1.0 in x 4.847 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 0.5)) (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4)) in x 4.847 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 4.847 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.847 * [taylor]: Taking taylor expansion of 0.5 in x 4.848 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1/4) in x 4.848 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.848 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.848 * [taylor]: Taking taylor expansion of 1/4 in x 4.848 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.848 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.849 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.849 * [taylor]: Taking taylor expansion of 1.0 in x 4.849 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.849 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.849 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.849 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.849 * [taylor]: Taking taylor expansion of 1.0 in x 4.849 * [taylor]: Taking taylor expansion of 1.0 in x 4.849 * [taylor]: Taking taylor expansion of (* x x) in x 4.849 * [taylor]: Taking taylor expansion of x in x 4.849 * [taylor]: Taking taylor expansion of x in x 4.852 * [taylor]: Taking taylor expansion of 1.0 in x 5.791 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) (+ (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in (x) around 0 5.791 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) (+ (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in x 5.791 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 5.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.791 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 5.792 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 5.792 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 5.792 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.792 * [taylor]: Taking taylor expansion of 1/4 in x 5.792 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.792 * [taylor]: Taking taylor expansion of x in x 5.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.793 * [taylor]: Taking taylor expansion of x in x 5.796 * [taylor]: Taking taylor expansion of 1.0 in x 5.798 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 5.798 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.798 * [taylor]: Taking taylor expansion of 0.5 in x 5.799 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 5.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.800 * [taylor]: Taking taylor expansion of 1.0 in x 5.800 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 5.800 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 5.800 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 5.800 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.800 * [taylor]: Taking taylor expansion of 1/4 in x 5.800 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.800 * [taylor]: Taking taylor expansion of 1.0 in x 5.800 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.800 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.801 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.801 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.801 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.801 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.801 * [taylor]: Taking taylor expansion of x in x 5.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.801 * [taylor]: Taking taylor expansion of x in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 5.806 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 5.806 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.806 * [taylor]: Taking taylor expansion of 0.5 in x 5.807 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) (+ (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in x 5.808 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 5.808 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.808 * [taylor]: Taking taylor expansion of 1.0 in x 5.808 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 5.808 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 5.808 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 5.808 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.808 * [taylor]: Taking taylor expansion of 1/4 in x 5.808 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.808 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ 1 x))) in x 5.808 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.809 * [taylor]: Taking taylor expansion of 1.0 in x 5.809 * [taylor]: Taking taylor expansion of 1.0 in x 5.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.809 * [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 x in x 5.812 * [taylor]: Taking taylor expansion of 1.0 in x 5.814 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 5.814 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.814 * [taylor]: Taking taylor expansion of 0.5 in x 5.816 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 5.816 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.816 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 5.817 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1/4) in x 5.817 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 5.817 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 5.817 * [taylor]: Taking taylor expansion of 1/4 in x 5.817 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.820 * [taylor]: Taking taylor expansion of 1.0 in x 5.822 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 5.822 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.822 * [taylor]: Taking taylor expansion of 0.5 in x 6.157 * [approximate]: Taking taylor expansion of (* (+ (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) (sqrt 1.0)) (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in (x) around 0 6.157 * [taylor]: Taking taylor expansion of (* (+ (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) (sqrt 1.0)) (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in x 6.157 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) (sqrt 1.0)) in x 6.157 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 6.157 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 6.157 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.157 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.157 * [taylor]: Taking taylor expansion of 1/4 in x 6.157 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.158 * [taylor]: Taking taylor expansion of 1.0 in x 6.158 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.158 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.158 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.158 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.158 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.158 * [taylor]: Taking taylor expansion of 1.0 in x 6.158 * [taylor]: Taking taylor expansion of 1.0 in x 6.158 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.158 * [taylor]: Taking taylor expansion of -1 in x 6.158 * [taylor]: Taking taylor expansion of x in x 6.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.158 * [taylor]: Taking taylor expansion of -1 in x 6.158 * [taylor]: Taking taylor expansion of x in x 6.161 * [taylor]: Taking taylor expansion of 1.0 in x 6.163 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 6.163 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.163 * [taylor]: Taking taylor expansion of 0.5 in x 6.165 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.165 * [taylor]: Taking taylor expansion of 1.0 in x 6.166 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 6.166 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.166 * [taylor]: Taking taylor expansion of 1.0 in x 6.166 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 6.166 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 6.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.166 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.166 * [taylor]: Taking taylor expansion of 1/4 in x 6.166 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.167 * [taylor]: Taking taylor expansion of 1.0 in x 6.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.167 * [taylor]: Taking taylor expansion of 1.0 in x 6.167 * [taylor]: Taking taylor expansion of 1.0 in x 6.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.167 * [taylor]: Taking taylor expansion of -1 in x 6.167 * [taylor]: Taking taylor expansion of x in x 6.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.167 * [taylor]: Taking taylor expansion of -1 in x 6.167 * [taylor]: Taking taylor expansion of x in x 6.170 * [taylor]: Taking taylor expansion of 1.0 in x 6.172 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 6.172 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.172 * [taylor]: Taking taylor expansion of 0.5 in x 6.174 * [taylor]: Taking taylor expansion of (* (+ (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) (sqrt 1.0)) (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))))) in x 6.174 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) (sqrt 1.0)) in x 6.174 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 6.174 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 6.174 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.174 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.174 * [taylor]: Taking taylor expansion of 1/4 in x 6.174 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.174 * [taylor]: Taking taylor expansion of 1.0 in x 6.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.174 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.174 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.174 * [taylor]: Taking taylor expansion of 1.0 in x 6.174 * [taylor]: Taking taylor expansion of 1.0 in x 6.174 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.174 * [taylor]: Taking taylor expansion of -1 in x 6.174 * [taylor]: Taking taylor expansion of x in x 6.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.175 * [taylor]: Taking taylor expansion of -1 in x 6.175 * [taylor]: Taking taylor expansion of x in x 6.182 * [taylor]: Taking taylor expansion of 1.0 in x 6.184 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 6.184 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.184 * [taylor]: Taking taylor expansion of 0.5 in x 6.185 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.185 * [taylor]: Taking taylor expansion of 1.0 in x 6.186 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5)))) in x 6.186 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.186 * [taylor]: Taking taylor expansion of 1.0 in x 6.187 * [taylor]: Taking taylor expansion of (* (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) (sqrt (sqrt 0.5))) in x 6.187 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1/4) in x 6.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.187 * [taylor]: Taking taylor expansion of 1/4 in x 6.187 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.187 * [taylor]: Taking taylor expansion of 1.0 in x 6.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.187 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.187 * [taylor]: Taking taylor expansion of 1.0 in x 6.187 * [taylor]: Taking taylor expansion of 1.0 in x 6.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.187 * [taylor]: Taking taylor expansion of -1 in x 6.187 * [taylor]: Taking taylor expansion of x in x 6.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.188 * [taylor]: Taking taylor expansion of -1 in x 6.188 * [taylor]: Taking taylor expansion of x in x 6.191 * [taylor]: Taking taylor expansion of 1.0 in x 6.193 * [taylor]: Taking taylor expansion of (sqrt (sqrt 0.5)) in x 6.193 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.193 * [taylor]: Taking taylor expansion of 0.5 in x 6.342 * * * [progress]: simplifying candidates 6.349 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (fma (- (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* (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 (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* (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 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt 0.5))))) (fma (- (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt 0.5)) (* (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt 0.5)))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 1)))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt 1) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 1))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (fma (- (cbrt 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(/ 1.0 (hypot 1.0 x))))))) (+ (sqrt (sqrt 1.0)) (sqrt (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))))))) (+ (sqrt (sqrt 1.0)) (sqrt (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))))))) (+ (sqrt (sqrt 1.0)) (sqrt (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))))))) (+ (sqrt (sqrt 1.0)) (sqrt (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))))))) (sqrt 1)) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ (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)))))))) (* (sqrt (+ (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)))))) (- 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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow (sqrt 1.0) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (* (+ 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))))))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (+ (pow (sqrt 1.0) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (- (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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (+ (sqrt 1.0) (- (fma 0.125 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5)))) (* 0.0234375 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 7)) 1/4) (sqrt (sqrt 0.5)))))) (fma (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 1/4) (sqrt (sqrt 0.5)) (* 0.09375 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5)))))))) (+ (* 0.09375 (* (/ 1 (pow x 2)) (* (pow 1.0 1/4) (sqrt (sqrt 0.5))))) (- (sqrt 1.0) (* (+ (* 0.25 (/ 1 x)) 1) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))))) (+ (* (* (pow 1.0 1/4) (sqrt (sqrt 0.5))) (+ (* 0.25 (/ 1 x)) (* 0.09375 (/ 1 (pow x 2))))) (- (sqrt 1.0) (* (pow 1.0 1/4) (sqrt (sqrt 0.5))))) (fma (* 0.09375 (/ (pow x 4) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5))) (- (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 1/4) (sqrt (sqrt 0.5))) (fma 0.125 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5)))) (* 0.0234375 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 7)) 1/4) (sqrt (sqrt 0.5)))))))) (+ (- (* 0.09375 (* (/ 1 (pow x 2)) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))))) (* (+ (* 0.25 (/ 1 x)) 1) (* (pow 1.0 1/4) (sqrt (sqrt 0.5))))) (fma (pow 1.0 1/4) (sqrt (sqrt 0.5)) (- (fma 0.25 (* (/ 1 x) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))) (* 0.09375 (* (/ 1 (pow x 2)) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))))))) (fma (* 0.09375 (/ (pow x 4) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5))) (- (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 1/4) (sqrt (sqrt 0.5))) (fma 0.125 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) 1/4) (sqrt (sqrt 0.5)))) (* 0.0234375 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 7)) 1/4) (sqrt (sqrt 0.5)))))))) (+ (- (* 0.09375 (* (/ 1 (pow x 2)) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))))) (* (+ (* 0.25 (/ 1 x)) 1) (* (pow 1.0 1/4) (sqrt (sqrt 0.5))))) (fma (pow 1.0 1/4) (sqrt (sqrt 0.5)) (- (fma 0.25 (* (/ 1 x) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))) (* 0.09375 (* (/ 1 (pow x 2)) (* (pow 1.0 1/4) (sqrt (sqrt 0.5)))))))) (- (- (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))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) 1.0)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (fma 0.125 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (- 1.0 (fma 0.5 (/ (* (sqrt 1.0) (sqrt 0.5)) x) (* (sqrt 1.0) (sqrt 0.5))))) (+ (fma 0.125 (/ (* (sqrt 1.0) (sqrt 0.5)) (pow x 2)) (* 0.5 (/ (* (sqrt 1.0) (sqrt 0.5)) x))) (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))) 6.490 * * * [progress]: adding candidates to table 6.972 * [progress]: [Phase 3 of 3] Extracting. 6.973 * * [regime]: Finding splitpoints for: (# # #) 6.974 * * * [regime-changes]: Trying 6 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) x) 6.974 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 7.001 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 7.015 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 7.043 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 7.058 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 7.079 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 7.095 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # #) 7.116 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # #) 7.143 * * * * [regimes]: Trying to branch on x from (# # #) 7.170 * * * [regime]: Found split indices: #