26.597 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.040 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.042 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.043 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.044 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.046 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.047 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.048 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.048 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 2) 0.068 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.078 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* x x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.087 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.087 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.088 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.088 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 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 0.331 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.391 * [taylor]: Taking taylor expansion of 0.5 in x 0.427 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 2) 0.427 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.427 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (* x x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.431 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (* x x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.501 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.504 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.527 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.527 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.527 * [taylor]: Taking taylor expansion of 0.5 in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.528 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* x x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.543 * [taylor]: Taking taylor expansion of 0.5 in x 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.544 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* x x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.726 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.732 * [taylor]: Taking taylor expansion of 0.5 in x 0.754 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.755 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.760 * [taylor]: Taking taylor expansion of 0.5 in x 0.761 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.761 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.767 * [taylor]: Taking taylor expansion of 0.5 in x 0.795 * * * [progress]: simplifying candidates 0.796 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 0.804 * * [simplify]: iteration 0 : 488 enodes (cost 1022 ) 0.812 * * [simplify]: iteration 1 : 1852 enodes (cost 782 ) 0.843 * * [simplify]: iteration 2 : 5003 enodes (cost 780 ) 0.847 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 0.848 * * * [progress]: adding candidates to table 1.028 * * [progress]: iteration 2 / 4 1.028 * * * [progress]: picking best candidate 1.040 * * * * [pick]: Picked # 1.040 * * * [progress]: localizing error 1.052 * * * [progress]: generating rewritten candidates 1.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.061 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.066 * * * [progress]: generating series expansions 1.066 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.067 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.067 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.067 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.067 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.067 * [taylor]: Taking taylor expansion of 0.5 in x 1.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.067 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.067 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.067 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.067 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (* x x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.071 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.071 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.071 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.071 * [taylor]: Taking taylor expansion of 0.5 in x 1.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.071 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (* x x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.162 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.162 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.162 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.162 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.162 * [taylor]: Taking taylor expansion of 0.5 in x 1.162 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.162 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.162 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.162 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.162 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.162 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.166 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.166 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.166 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.166 * [taylor]: Taking taylor expansion of 0.5 in x 1.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.193 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.193 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.193 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.193 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.193 * [taylor]: Taking taylor expansion of 0.5 in x 1.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.194 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.194 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.194 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.194 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.194 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.197 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.197 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.197 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.197 * [taylor]: Taking taylor expansion of 0.5 in x 1.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.198 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.198 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.198 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.198 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.198 * [taylor]: Taking taylor expansion of -1 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.198 * [taylor]: Taking taylor expansion of -1 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.219 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.219 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.220 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.220 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.220 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.220 * [taylor]: Taking taylor expansion of 0.5 in x 1.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.220 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.220 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (* x x) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.223 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.223 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.223 * [taylor]: Taking taylor expansion of 0.5 in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.224 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (* x x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.252 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.252 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.252 * [taylor]: Taking taylor expansion of 0.5 in x 1.252 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.252 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.252 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.252 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (* x x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.261 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.261 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.261 * [taylor]: Taking taylor expansion of 0.5 in x 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.262 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.262 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.262 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.262 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.262 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (* x x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.074 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.074 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.074 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.074 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.074 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.074 * [taylor]: Taking taylor expansion of 0.5 in x 2.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.074 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.074 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.075 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.078 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.078 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.078 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.083 * [taylor]: Taking taylor expansion of 0.5 in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.089 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.089 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.089 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.089 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.089 * [taylor]: Taking taylor expansion of 0.5 in x 2.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.089 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.089 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.098 * [taylor]: Taking taylor expansion of 0.5 in x 2.099 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.237 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.237 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.237 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.237 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.237 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.237 * [taylor]: Taking taylor expansion of 0.5 in x 2.237 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.237 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.237 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.237 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.238 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.238 * [taylor]: Taking taylor expansion of -1 in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.238 * [taylor]: Taking taylor expansion of -1 in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.241 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.241 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.245 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.247 * [taylor]: Taking taylor expansion of 0.5 in x 2.247 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.253 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.253 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.253 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.253 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.253 * [taylor]: Taking taylor expansion of 0.5 in x 2.253 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.253 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.253 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.253 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.253 * [taylor]: Taking taylor expansion of -1 in x 2.253 * [taylor]: Taking taylor expansion of x in x 2.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.253 * [taylor]: Taking taylor expansion of -1 in x 2.253 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.256 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.257 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.257 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.257 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.257 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.257 * [taylor]: Taking taylor expansion of -1 in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.257 * [taylor]: Taking taylor expansion of -1 in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.260 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.262 * [taylor]: Taking taylor expansion of 0.5 in x 2.263 * [taylor]: Taking taylor expansion of 1.0 in x 2.402 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.403 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.403 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.403 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.403 * [taylor]: Taking taylor expansion of 0.5 in x 2.403 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.404 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (* x x) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.413 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.413 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.413 * [taylor]: Taking taylor expansion of 0.5 in x 2.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.414 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.414 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.414 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (* x x) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.636 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.636 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.636 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.636 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.636 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.636 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.640 * [taylor]: Taking taylor expansion of 1.0 in x 2.641 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.641 * [taylor]: Taking taylor expansion of 0.5 in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.642 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.642 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.642 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.648 * [taylor]: Taking taylor expansion of 0.5 in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.677 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.677 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.677 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.677 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.677 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.677 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.677 * [taylor]: Taking taylor expansion of -1 in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.678 * [taylor]: Taking taylor expansion of -1 in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.689 * [taylor]: Taking taylor expansion of 0.5 in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.690 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.690 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.690 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.690 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.690 * [taylor]: Taking taylor expansion of -1 in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.691 * [taylor]: Taking taylor expansion of -1 in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.696 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.696 * [taylor]: Taking taylor expansion of 0.5 in x 2.696 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.725 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.725 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.725 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.726 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.726 * [taylor]: Taking taylor expansion of 1.0 in x 2.726 * [taylor]: Taking taylor expansion of 1.0 in x 2.726 * [taylor]: Taking taylor expansion of (* x x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.728 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.729 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.729 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.729 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.729 * [taylor]: Taking taylor expansion of 1.0 in x 2.729 * [taylor]: Taking taylor expansion of 1.0 in x 2.729 * [taylor]: Taking taylor expansion of (* x x) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.774 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.774 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.774 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.774 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.774 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.778 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.778 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.778 * [taylor]: Taking taylor expansion of 1.0 in x 2.778 * [taylor]: Taking taylor expansion of 1.0 in x 2.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.800 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.800 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.800 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.800 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.800 * [taylor]: Taking taylor expansion of -1 in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.800 * [taylor]: Taking taylor expansion of -1 in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.803 * [taylor]: Taking taylor expansion of -1 in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.804 * [taylor]: Taking taylor expansion of -1 in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.826 * * * [progress]: simplifying candidates 2.828 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 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(sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (+ 1.0 (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)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (+ (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3))) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.920 * * * [progress]: adding candidates to table 3.234 * * [progress]: iteration 3 / 4 3.234 * * * [progress]: picking best candidate 3.244 * * * * [pick]: Picked # 3.244 * * * [progress]: localizing error 3.263 * * * [progress]: generating rewritten candidates 3.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.265 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.279 * * * [progress]: generating series expansions 3.279 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.280 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.280 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.280 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.280 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.280 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.280 * [taylor]: Taking taylor expansion of 0.5 in x 3.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.280 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.280 * [taylor]: Taking taylor expansion of 1.0 in x 3.280 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.280 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.281 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.281 * [taylor]: Taking taylor expansion of 1.0 in x 3.281 * [taylor]: Taking taylor expansion of 1.0 in x 3.281 * [taylor]: Taking taylor expansion of (* x x) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.284 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.284 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.284 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.284 * [taylor]: Taking taylor expansion of 0.5 in x 3.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.284 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.284 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.284 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of (* x x) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.287 * [taylor]: Taking taylor expansion of 1.0 in x 3.287 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.376 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.376 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.376 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.376 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.376 * [taylor]: Taking taylor expansion of 0.5 in x 3.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.376 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.376 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.376 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.376 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of 1.0 in x 3.379 * [taylor]: Taking taylor expansion of 1.0 in x 3.379 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.380 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.380 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.380 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.380 * [taylor]: Taking taylor expansion of 0.5 in x 3.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.380 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.380 * [taylor]: Taking taylor expansion of 1.0 in x 3.380 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.380 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.380 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.380 * [taylor]: Taking taylor expansion of 1.0 in x 3.380 * [taylor]: Taking taylor expansion of 1.0 in x 3.380 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.383 * [taylor]: Taking taylor expansion of 1.0 in x 3.383 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.401 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.401 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.401 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.401 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.401 * [taylor]: Taking taylor expansion of 0.5 in x 3.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.401 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.401 * [taylor]: Taking taylor expansion of -1 in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.402 * [taylor]: Taking taylor expansion of -1 in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.405 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.405 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.405 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.405 * [taylor]: Taking taylor expansion of 0.5 in x 3.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.405 * [taylor]: Taking taylor expansion of -1 in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.406 * [taylor]: Taking taylor expansion of -1 in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.409 * [taylor]: Taking taylor expansion of 1.0 in x 3.409 * [taylor]: Taking taylor expansion of 1.0 in x 3.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.433 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.433 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.434 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.434 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.434 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.434 * [taylor]: Taking taylor expansion of 0.5 in x 3.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.434 * [taylor]: Taking taylor expansion of 1.0 in x 3.434 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.434 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.434 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.434 * [taylor]: Taking taylor expansion of 1.0 in x 3.434 * [taylor]: Taking taylor expansion of 1.0 in x 3.434 * [taylor]: Taking taylor expansion of (* x x) in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.437 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.437 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.437 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.437 * [taylor]: Taking taylor expansion of 0.5 in x 3.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.437 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.437 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [taylor]: Taking taylor expansion of (* x x) in x 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [taylor]: Taking taylor expansion of x in x 3.440 * [taylor]: Taking taylor expansion of 1.0 in x 3.440 * [taylor]: Taking taylor expansion of 1.0 in x 3.532 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.532 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.533 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.533 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.533 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.533 * [taylor]: Taking taylor expansion of 0.5 in x 3.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.533 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.533 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.533 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.536 * [taylor]: Taking taylor expansion of 1.0 in x 3.536 * [taylor]: Taking taylor expansion of 1.0 in x 3.536 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.536 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.536 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.536 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.536 * [taylor]: Taking taylor expansion of 0.5 in x 3.536 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.536 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.536 * [taylor]: Taking taylor expansion of 1.0 in x 3.536 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.536 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.537 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.540 * [taylor]: Taking taylor expansion of 1.0 in x 3.540 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.558 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.558 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.558 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.558 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.558 * [taylor]: Taking taylor expansion of 0.5 in x 3.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.558 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.558 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.558 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.558 * [taylor]: Taking taylor expansion of -1 in x 3.558 * [taylor]: Taking taylor expansion of x in x 3.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.559 * [taylor]: Taking taylor expansion of -1 in x 3.559 * [taylor]: Taking taylor expansion of x in x 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.562 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.562 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.562 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.562 * [taylor]: Taking taylor expansion of 0.5 in x 3.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.562 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [taylor]: Taking taylor expansion of 1.0 in x 3.562 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.562 * [taylor]: Taking taylor expansion of -1 in x 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.563 * [taylor]: Taking taylor expansion of -1 in x 3.563 * [taylor]: Taking taylor expansion of x in x 3.565 * [taylor]: Taking taylor expansion of 1.0 in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.583 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.584 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.584 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.584 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.584 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.584 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.584 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.584 * [taylor]: Taking taylor expansion of 0.5 in x 3.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.584 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of (* x x) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.587 * [taylor]: Taking taylor expansion of 1.0 in x 3.587 * [taylor]: Taking taylor expansion of 1.0 in x 3.587 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.587 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.587 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.587 * [taylor]: Taking taylor expansion of 0.5 in x 3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.594 * [taylor]: Taking taylor expansion of 1.0 in x 3.594 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.594 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.594 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.594 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.594 * [taylor]: Taking taylor expansion of 1.0 in x 3.595 * [taylor]: Taking taylor expansion of 1.0 in x 3.595 * [taylor]: Taking taylor expansion of (* x x) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.603 * [taylor]: Taking taylor expansion of 1.0 in x 3.622 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.622 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.623 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.623 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.623 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.623 * [taylor]: Taking taylor expansion of 0.5 in x 3.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.623 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [taylor]: Taking taylor expansion of (* x x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.626 * [taylor]: Taking taylor expansion of 1.0 in x 3.626 * [taylor]: Taking taylor expansion of 1.0 in x 3.626 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.626 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.626 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.626 * [taylor]: Taking taylor expansion of 0.5 in x 3.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.627 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.627 * [taylor]: Taking taylor expansion of 1.0 in x 3.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.627 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.627 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.627 * [taylor]: Taking taylor expansion of 1.0 in x 3.627 * [taylor]: Taking taylor expansion of 1.0 in x 3.627 * [taylor]: Taking taylor expansion of (* x x) in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.630 * [taylor]: Taking taylor expansion of 1.0 in x 3.635 * [taylor]: Taking taylor expansion of 1.0 in x 4.441 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.441 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.441 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.441 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.441 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.441 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.441 * [taylor]: Taking taylor expansion of 0.5 in x 4.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.441 * [taylor]: Taking taylor expansion of 1.0 in x 4.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.441 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.441 * [taylor]: Taking taylor expansion of 1.0 in x 4.441 * [taylor]: Taking taylor expansion of 1.0 in x 4.441 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.442 * [taylor]: Taking taylor expansion of x in x 4.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.442 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.445 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.445 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.445 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.450 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.450 * [taylor]: Taking taylor expansion of 0.5 in x 4.451 * [taylor]: Taking taylor expansion of 1.0 in x 4.456 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.456 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.456 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.456 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.456 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.456 * [taylor]: Taking taylor expansion of 0.5 in x 4.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.456 * [taylor]: Taking taylor expansion of 1.0 in x 4.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.456 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.456 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.456 * [taylor]: Taking taylor expansion of 1.0 in x 4.456 * [taylor]: Taking taylor expansion of 1.0 in x 4.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.456 * [taylor]: Taking taylor expansion of x in x 4.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.457 * [taylor]: Taking taylor expansion of x in x 4.459 * [taylor]: Taking taylor expansion of 1.0 in x 4.459 * [taylor]: Taking taylor expansion of 1.0 in x 4.459 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.459 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.459 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.459 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.459 * [taylor]: Taking taylor expansion of 1.0 in x 4.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.459 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.460 * [taylor]: Taking taylor expansion of 1.0 in x 4.460 * [taylor]: Taking taylor expansion of 1.0 in x 4.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.460 * [taylor]: Taking taylor expansion of x in x 4.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.460 * [taylor]: Taking taylor expansion of x in x 4.463 * [taylor]: Taking taylor expansion of 1.0 in x 4.465 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.465 * [taylor]: Taking taylor expansion of 0.5 in x 4.465 * [taylor]: Taking taylor expansion of 1.0 in x 4.602 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.602 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.602 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.602 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.602 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.602 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.602 * [taylor]: Taking taylor expansion of 0.5 in x 4.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.602 * [taylor]: Taking taylor expansion of 1.0 in x 4.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.602 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.602 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.602 * [taylor]: Taking taylor expansion of 1.0 in x 4.602 * [taylor]: Taking taylor expansion of 1.0 in x 4.602 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.603 * [taylor]: Taking taylor expansion of -1 in x 4.603 * [taylor]: Taking taylor expansion of x in x 4.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.603 * [taylor]: Taking taylor expansion of -1 in x 4.603 * [taylor]: Taking taylor expansion of x in x 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.606 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.606 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.606 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [taylor]: Taking taylor expansion of 1.0 in x 4.606 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.606 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.606 * [taylor]: Taking taylor expansion of -1 in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.607 * [taylor]: Taking taylor expansion of -1 in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.610 * [taylor]: Taking taylor expansion of 1.0 in x 4.612 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.612 * [taylor]: Taking taylor expansion of 0.5 in x 4.612 * [taylor]: Taking taylor expansion of 1.0 in x 4.617 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.617 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.618 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.618 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.618 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.618 * [taylor]: Taking taylor expansion of 0.5 in x 4.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.618 * [taylor]: Taking taylor expansion of 1.0 in x 4.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.618 * [taylor]: Taking taylor expansion of 1.0 in x 4.618 * [taylor]: Taking taylor expansion of 1.0 in x 4.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.618 * [taylor]: Taking taylor expansion of -1 in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.618 * [taylor]: Taking taylor expansion of -1 in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.621 * [taylor]: Taking taylor expansion of 1.0 in x 4.621 * [taylor]: Taking taylor expansion of 1.0 in x 4.621 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.621 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.621 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.621 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.621 * [taylor]: Taking taylor expansion of 1.0 in x 4.621 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.621 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.622 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.622 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.622 * [taylor]: Taking taylor expansion of 1.0 in x 4.622 * [taylor]: Taking taylor expansion of 1.0 in x 4.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.622 * [taylor]: Taking taylor expansion of -1 in x 4.622 * [taylor]: Taking taylor expansion of x in x 4.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.622 * [taylor]: Taking taylor expansion of -1 in x 4.622 * [taylor]: Taking taylor expansion of x in x 4.625 * [taylor]: Taking taylor expansion of 1.0 in x 4.627 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.627 * [taylor]: Taking taylor expansion of 0.5 in x 4.628 * [taylor]: Taking taylor expansion of 1.0 in x 4.770 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.770 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 4.770 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.770 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.770 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.770 * [taylor]: Taking taylor expansion of 0.5 in x 4.771 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.771 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.771 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.771 * [taylor]: Taking taylor expansion of 1.0 in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.771 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.771 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.771 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.771 * [taylor]: Taking taylor expansion of 1.0 in x 4.771 * [taylor]: Taking taylor expansion of 1.0 in x 4.771 * [taylor]: Taking taylor expansion of (* x x) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.774 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.780 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.780 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.780 * [taylor]: Taking taylor expansion of 0.5 in x 4.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.781 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (* x x) in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.790 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * [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 4.998 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.998 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.998 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.998 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.998 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.998 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.998 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.998 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.998 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.998 * [taylor]: Taking taylor expansion of x in x 4.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.999 * [taylor]: Taking taylor expansion of x in x 5.002 * [taylor]: Taking taylor expansion of 1.0 in x 5.004 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.004 * [taylor]: Taking taylor expansion of 0.5 in x 5.004 * [taylor]: Taking taylor expansion of 1.0 in x 5.004 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.004 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.004 * [taylor]: Taking taylor expansion of 1.0 in x 5.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.004 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.005 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.005 * [taylor]: Taking taylor expansion of 1.0 in x 5.005 * [taylor]: Taking taylor expansion of 1.0 in x 5.005 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.005 * [taylor]: Taking taylor expansion of x in x 5.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.005 * [taylor]: Taking taylor expansion of x in x 5.008 * [taylor]: Taking taylor expansion of 1.0 in x 5.018 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.018 * [taylor]: Taking taylor expansion of 0.5 in x 5.019 * [taylor]: Taking taylor expansion of 1.0 in x 5.048 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 5.048 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.048 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.048 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.048 * [taylor]: Taking taylor expansion of 1.0 in x 5.048 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.048 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.048 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.048 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.048 * [taylor]: Taking taylor expansion of 1.0 in x 5.048 * [taylor]: Taking taylor expansion of 1.0 in x 5.048 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.048 * [taylor]: Taking taylor expansion of -1 in x 5.048 * [taylor]: Taking taylor expansion of x in x 5.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.049 * [taylor]: Taking taylor expansion of -1 in x 5.049 * [taylor]: Taking taylor expansion of x in x 5.052 * [taylor]: Taking taylor expansion of 1.0 in x 5.054 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.054 * [taylor]: Taking taylor expansion of 0.5 in x 5.054 * [taylor]: Taking taylor expansion of 1.0 in x 5.054 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.054 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.054 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.055 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.055 * [taylor]: Taking taylor expansion of 1.0 in x 5.055 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.055 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.055 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.055 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.055 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.055 * [taylor]: Taking taylor expansion of 1.0 in x 5.055 * [taylor]: Taking taylor expansion of 1.0 in x 5.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.055 * [taylor]: Taking taylor expansion of -1 in x 5.055 * [taylor]: Taking taylor expansion of x in x 5.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.055 * [taylor]: Taking taylor expansion of -1 in x 5.055 * [taylor]: Taking taylor expansion of x in x 5.058 * [taylor]: Taking taylor expansion of 1.0 in x 5.060 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.060 * [taylor]: Taking taylor expansion of 0.5 in x 5.061 * [taylor]: Taking taylor expansion of 1.0 in x 5.090 * * * [progress]: simplifying candidates 5.092 * [simplify]: Simplifying using # : (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 (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)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (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))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (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)))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (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)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (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)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (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)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (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))))))))) (/ (log (exp 1)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (log (exp 1)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (log (exp 1)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (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 (+ 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 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (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)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (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)))))) 1) (/ (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (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)))))) 1) (/ (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (+ 1.0 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(hypot 1.0 x))))))) (* (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 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))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (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))))))) 5.193 * * * [progress]: adding candidates to table 5.536 * * [progress]: iteration 4 / 4 5.536 * * * [progress]: picking best candidate 5.543 * * * * [pick]: Picked # 5.543 * * * [progress]: localizing error 5.555 * * * [progress]: generating rewritten candidates 5.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 5.563 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.574 * * * [progress]: generating series expansions 5.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.574 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 5.574 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.574 * [taylor]: Taking taylor expansion of 1.0 in x 5.574 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.574 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.574 * [taylor]: Taking taylor expansion of 0.5 in x 5.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.575 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.576 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.576 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.576 * [taylor]: Taking taylor expansion of 1.0 in x 5.576 * [taylor]: Taking taylor expansion of 1.0 in x 5.576 * [taylor]: Taking taylor expansion of (* x x) in x 5.576 * [taylor]: Taking taylor expansion of x in x 5.576 * [taylor]: Taking taylor expansion of x in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.585 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.585 * [taylor]: Taking taylor expansion of 1.0 in x 5.585 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.585 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.585 * [taylor]: Taking taylor expansion of 0.5 in x 5.586 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.586 * [taylor]: Taking taylor expansion of 1.0 in x 5.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.586 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.586 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.586 * [taylor]: Taking taylor expansion of 1.0 in x 5.586 * [taylor]: Taking taylor expansion of 1.0 in x 5.586 * [taylor]: Taking taylor expansion of (* x x) in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.589 * [taylor]: Taking taylor expansion of 1.0 in x 5.832 * [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 5.832 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 5.834 * [taylor]: Taking taylor expansion of 1.0 in x 5.834 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.834 * [taylor]: Taking taylor expansion of 1.0 in x 5.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.834 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.834 * [taylor]: Taking taylor expansion of 1.0 in x 5.834 * [taylor]: Taking taylor expansion of 1.0 in x 5.834 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.834 * [taylor]: Taking taylor expansion of x in x 5.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.834 * [taylor]: Taking taylor expansion of x in x 5.837 * [taylor]: Taking taylor expansion of 1.0 in x 5.839 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.839 * [taylor]: Taking taylor expansion of 0.5 in x 5.840 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 5.840 * [taylor]: Taking taylor expansion of 1.0 in x 5.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.840 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.840 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.840 * [taylor]: Taking taylor expansion of 1.0 in x 5.840 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.840 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.840 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.840 * [taylor]: Taking taylor expansion of 1.0 in x 5.840 * [taylor]: Taking taylor expansion of 1.0 in x 5.840 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.840 * [taylor]: Taking taylor expansion of x in x 5.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.841 * [taylor]: Taking taylor expansion of x in x 5.844 * [taylor]: Taking taylor expansion of 1.0 in x 5.846 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.846 * [taylor]: Taking taylor expansion of 0.5 in x 5.889 * [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 5.889 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 5.889 * [taylor]: Taking taylor expansion of 1.0 in x 5.889 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.889 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.889 * [taylor]: Taking taylor expansion of 1.0 in x 5.889 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.889 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.889 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.889 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.889 * [taylor]: Taking taylor expansion of 1.0 in x 5.889 * [taylor]: Taking taylor expansion of 1.0 in x 5.889 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.889 * [taylor]: Taking taylor expansion of -1 in x 5.889 * [taylor]: Taking taylor expansion of x in x 5.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.890 * [taylor]: Taking taylor expansion of -1 in x 5.890 * [taylor]: Taking taylor expansion of x in x 5.893 * [taylor]: Taking taylor expansion of 1.0 in x 5.895 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.895 * [taylor]: Taking taylor expansion of 0.5 in x 5.895 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 5.895 * [taylor]: Taking taylor expansion of 1.0 in x 5.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.895 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.895 * [taylor]: Taking taylor expansion of 1.0 in x 5.895 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.895 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.896 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.896 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.896 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.896 * [taylor]: Taking taylor expansion of 1.0 in x 5.896 * [taylor]: Taking taylor expansion of 1.0 in x 5.896 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.896 * [taylor]: Taking taylor expansion of -1 in x 5.896 * [taylor]: Taking taylor expansion of x in x 5.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.896 * [taylor]: Taking taylor expansion of -1 in x 5.896 * [taylor]: Taking taylor expansion of x in x 5.899 * [taylor]: Taking taylor expansion of 1.0 in x 5.901 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.901 * [taylor]: Taking taylor expansion of 0.5 in x 5.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.937 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 5.937 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.937 * [taylor]: Taking taylor expansion of 1.0 in x 5.937 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.937 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.937 * [taylor]: Taking taylor expansion of 0.5 in x 5.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.938 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.938 * [taylor]: Taking taylor expansion of 1.0 in x 5.938 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.938 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.938 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.938 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.938 * [taylor]: Taking taylor expansion of 1.0 in x 5.938 * [taylor]: Taking taylor expansion of 1.0 in x 5.938 * [taylor]: Taking taylor expansion of (* x x) in x 5.938 * [taylor]: Taking taylor expansion of x in x 5.938 * [taylor]: Taking taylor expansion of x in x 5.948 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.954 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.954 * [taylor]: Taking taylor expansion of 0.5 in x 5.955 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.955 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.955 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (* x x) in x 5.955 * [taylor]: Taking taylor expansion of x in x 5.955 * [taylor]: Taking taylor expansion of x in x 5.958 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [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 6.207 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.208 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.208 * [taylor]: Taking taylor expansion of 1.0 in x 6.208 * [taylor]: Taking taylor expansion of 1.0 in x 6.208 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.208 * [taylor]: Taking taylor expansion of x in x 6.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.208 * [taylor]: Taking taylor expansion of x in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.213 * [taylor]: Taking taylor expansion of 0.5 in x 6.214 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.214 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.214 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [taylor]: Taking taylor expansion of 1.0 in x 6.214 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.219 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.219 * [taylor]: Taking taylor expansion of 0.5 in x 6.255 * [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 6.255 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.255 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.255 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.255 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.255 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.255 * [taylor]: Taking taylor expansion of -1 in x 6.255 * [taylor]: Taking taylor expansion of x in x 6.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.256 * [taylor]: Taking taylor expansion of -1 in x 6.256 * [taylor]: Taking taylor expansion of x in x 6.259 * [taylor]: Taking taylor expansion of 1.0 in x 6.261 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.261 * [taylor]: Taking taylor expansion of 0.5 in x 6.261 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 6.261 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.261 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 6.262 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.262 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.262 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.262 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.262 * [taylor]: Taking taylor expansion of 1.0 in x 6.262 * [taylor]: Taking taylor expansion of 1.0 in x 6.262 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.262 * [taylor]: Taking taylor expansion of -1 in x 6.262 * [taylor]: Taking taylor expansion of x in x 6.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.262 * [taylor]: Taking taylor expansion of -1 in x 6.262 * [taylor]: Taking taylor expansion of x in x 6.265 * [taylor]: Taking taylor expansion of 1.0 in x 6.267 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.267 * [taylor]: Taking taylor expansion of 0.5 in x 6.310 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.310 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 6.310 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.310 * [taylor]: Taking taylor expansion of 1.0 in x 6.310 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.310 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.311 * [taylor]: Taking taylor expansion of 0.5 in x 6.311 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.311 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.311 * [taylor]: Taking taylor expansion of 1.0 in x 6.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.311 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.311 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.311 * [taylor]: Taking taylor expansion of 1.0 in x 6.311 * [taylor]: Taking taylor expansion of 1.0 in x 6.311 * [taylor]: Taking taylor expansion of (* x x) in x 6.312 * [taylor]: Taking taylor expansion of x in x 6.312 * [taylor]: Taking taylor expansion of x in x 6.314 * [taylor]: Taking taylor expansion of 1.0 in x 6.320 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.320 * [taylor]: Taking taylor expansion of 1.0 in x 6.320 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.320 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.320 * [taylor]: Taking taylor expansion of 0.5 in x 6.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.321 * [taylor]: Taking taylor expansion of 1.0 in x 6.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.321 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.321 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.321 * [taylor]: Taking taylor expansion of 1.0 in x 6.321 * [taylor]: Taking taylor expansion of 1.0 in x 6.321 * [taylor]: Taking taylor expansion of (* x x) in x 6.321 * [taylor]: Taking taylor expansion of x in x 6.321 * [taylor]: Taking taylor expansion of x in x 6.324 * [taylor]: Taking taylor expansion of 1.0 in x 6.571 * [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 6.571 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.571 * [taylor]: Taking taylor expansion of 1.0 in x 6.571 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.571 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.571 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.571 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.571 * [taylor]: Taking taylor expansion of 1.0 in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.571 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.571 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.571 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.571 * [taylor]: Taking taylor expansion of 1.0 in x 6.571 * [taylor]: Taking taylor expansion of 1.0 in x 6.572 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.575 * [taylor]: Taking taylor expansion of 1.0 in x 6.577 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.577 * [taylor]: Taking taylor expansion of 0.5 in x 6.578 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.578 * [taylor]: Taking taylor expansion of 1.0 in x 6.578 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.578 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.578 * [taylor]: Taking taylor expansion of 1.0 in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.578 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.578 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.578 * [taylor]: Taking taylor expansion of 1.0 in x 6.578 * [taylor]: Taking taylor expansion of 1.0 in x 6.578 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.581 * [taylor]: Taking taylor expansion of 1.0 in x 6.583 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.583 * [taylor]: Taking taylor expansion of 0.5 in x 6.628 * [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 6.628 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.628 * [taylor]: Taking taylor expansion of 1.0 in x 6.628 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.628 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.628 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.628 * [taylor]: Taking taylor expansion of 1.0 in x 6.628 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.628 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.628 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.628 * [taylor]: Taking taylor expansion of 1.0 in x 6.628 * [taylor]: Taking taylor expansion of 1.0 in x 6.628 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.628 * [taylor]: Taking taylor expansion of -1 in x 6.628 * [taylor]: Taking taylor expansion of x in x 6.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.629 * [taylor]: Taking taylor expansion of -1 in x 6.629 * [taylor]: Taking taylor expansion of x in x 6.632 * [taylor]: Taking taylor expansion of 1.0 in x 6.634 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.634 * [taylor]: Taking taylor expansion of 0.5 in x 6.635 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.635 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.635 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.635 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.635 * [taylor]: Taking taylor expansion of -1 in x 6.635 * [taylor]: Taking taylor expansion of x in x 6.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.635 * [taylor]: Taking taylor expansion of -1 in x 6.635 * [taylor]: Taking taylor expansion of x in x 6.638 * [taylor]: Taking taylor expansion of 1.0 in x 6.640 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.640 * [taylor]: Taking taylor expansion of 0.5 in x 6.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.677 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) 1/3) in (x) around 0 6.677 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) 1/3) in x 6.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 6.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 6.677 * [taylor]: Taking taylor expansion of 1/3 in x 6.677 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.677 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.677 * [taylor]: Taking taylor expansion of 1.0 in x 6.677 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.677 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.677 * [taylor]: Taking taylor expansion of 0.5 in x 6.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.678 * [taylor]: Taking taylor expansion of 1.0 in x 6.678 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.678 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.678 * [taylor]: Taking taylor expansion of 1.0 in x 6.678 * [taylor]: Taking taylor expansion of 1.0 in x 6.678 * [taylor]: Taking taylor expansion of (* x x) in x 6.678 * [taylor]: Taking taylor expansion of x in x 6.678 * [taylor]: Taking taylor expansion of x in x 6.681 * [taylor]: Taking taylor expansion of 1.0 in x 6.720 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) 1/3) in x 6.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 6.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 6.720 * [taylor]: Taking taylor expansion of 1/3 in x 6.720 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.721 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.721 * [taylor]: Taking taylor expansion of 1.0 in x 6.721 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.721 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.721 * [taylor]: Taking taylor expansion of 0.5 in x 6.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.721 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.721 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.721 * [taylor]: Taking taylor expansion of 1.0 in x 6.721 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.721 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.722 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.722 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.722 * [taylor]: Taking taylor expansion of 1.0 in x 6.722 * [taylor]: Taking taylor expansion of 1.0 in x 6.722 * [taylor]: Taking taylor expansion of (* x x) in x 6.722 * [taylor]: Taking taylor expansion of x in x 6.722 * [taylor]: Taking taylor expansion of x in x 6.724 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) 1/3) in (x) around 0 7.488 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) 1/3) in x 7.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 7.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 7.488 * [taylor]: Taking taylor expansion of 1/3 in x 7.488 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 7.488 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.488 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.488 * [taylor]: Taking taylor expansion of x in x 7.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.497 * [taylor]: Taking taylor expansion of x in x 7.500 * [taylor]: Taking taylor expansion of 1.0 in x 7.502 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.502 * [taylor]: Taking taylor expansion of 0.5 in x 7.513 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) 1/3) in x 7.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 7.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 7.514 * [taylor]: Taking taylor expansion of 1/3 in x 7.514 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 7.514 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.514 * [taylor]: Taking taylor expansion of 1.0 in x 7.514 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.514 * [taylor]: Taking taylor expansion of 1.0 in x 7.514 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.514 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.514 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.514 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.514 * [taylor]: Taking taylor expansion of 1.0 in x 7.514 * [taylor]: Taking taylor expansion of 1.0 in x 7.514 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.514 * [taylor]: Taking taylor expansion of x in x 7.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.514 * [taylor]: Taking taylor expansion of x in x 7.517 * [taylor]: Taking taylor expansion of 1.0 in x 7.519 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.519 * [taylor]: Taking taylor expansion of 0.5 in x 7.723 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) 1/3) in (x) around 0 7.723 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) 1/3) in x 7.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 7.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 7.723 * [taylor]: Taking taylor expansion of 1/3 in x 7.723 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 7.723 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.723 * [taylor]: Taking taylor expansion of 1.0 in x 7.723 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.723 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.723 * [taylor]: Taking taylor expansion of 1.0 in x 7.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.723 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.723 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.723 * [taylor]: Taking taylor expansion of 1.0 in x 7.723 * [taylor]: Taking taylor expansion of 1.0 in x 7.723 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.723 * [taylor]: Taking taylor expansion of -1 in x 7.723 * [taylor]: Taking taylor expansion of x in x 7.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.724 * [taylor]: Taking taylor expansion of -1 in x 7.724 * [taylor]: Taking taylor expansion of x in x 7.727 * [taylor]: Taking taylor expansion of 1.0 in x 7.729 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.729 * [taylor]: Taking taylor expansion of 0.5 in x 7.748 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) 1/3) in x 7.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 7.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 7.748 * [taylor]: Taking taylor expansion of 1/3 in x 7.748 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 7.748 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.748 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.748 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.748 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.749 * [taylor]: Taking taylor expansion of -1 in x 7.749 * [taylor]: Taking taylor expansion of x in x 7.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.749 * [taylor]: Taking taylor expansion of -1 in x 7.749 * [taylor]: Taking taylor expansion of x in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.754 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.754 * [taylor]: Taking taylor expansion of 0.5 in x 7.960 * * * [progress]: simplifying candidates 7.962 * [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 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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 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)))))) (+ (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 (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (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)))))))) 1 (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))) (sqrt (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (* 0.08333333333333333 (pow (/ 1 (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 2)) 1/3)) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (fma 0.010416666666666666 (* (pow (/ 1 (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 2)) 1/3) (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 1/3)) (fma 0.006944444444444444 (* (pow (/ 1 (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 5)) 1/3) (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.0625 (* (pow (/ 1 (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 2)) 1/3) (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))) (+ (+ (* (- 0.027777777777777776) (* (/ 0.5 1.0) (/ (pow (/ 1 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 5)) 1/3) (pow x 2)))) (- (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 2)) 1/3))))) (fma (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (pow (/ 1 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 2)) 1/3) (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1/3))) (fma (- 0.027777777777777776) (* (/ 0.5 1.0) (/ (pow (/ 1 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 5)) 1/3) (pow x 2))) (fma (pow (/ 1 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 2)) 1/3) (+ (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1/3))) 8.028 * * * [progress]: adding candidates to table 8.560 * [progress]: [Phase 3 of 3] Extracting. 8.560 * * [regime]: Finding splitpoints for: (# # # #) 8.561 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 8.561 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 8.588 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 8.605 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 8.634 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 8.651 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 8.676 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 8.691 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 8.714 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 8.742 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 8.768 * * * * [regimes]: Trying to branch on x from (# # # #) 8.800 * * * [regime]: Found split indices: #