13.382 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.056 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.057 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.058 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.060 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.061 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.063 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.064 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.064 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.082 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.084 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.084 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.084 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (* x x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.092 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.092 * [taylor]: Taking taylor expansion of 0.5 in x 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.093 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (* x x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.340 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.398 * [taylor]: Taking taylor expansion of 0.5 in x 0.433 * * * [progress]: simplifying candidates 0.434 * [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)))))) (- (+ (* 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))) 0.440 * * [simplify]: iteration 0 : 295 enodes (cost 671 ) 0.446 * * [simplify]: iteration 1 : 1040 enodes (cost 440 ) 0.468 * * [simplify]: iteration 2 : 5001 enodes (cost 438 ) 0.471 * [simplify]: Simplified to: (- (* (* (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))) (- (* (* (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)) (- (* (* (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 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)))))) (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)))) 0.471 * * * [progress]: adding candidates to table 0.551 * * [progress]: iteration 2 / 4 0.551 * * * [progress]: picking best candidate 0.564 * * * * [pick]: Picked # 0.564 * * * [progress]: localizing error 0.575 * * * [progress]: generating rewritten candidates 0.575 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.576 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.583 * * * [progress]: generating series expansions 0.583 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.584 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.584 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.584 * [taylor]: Taking taylor expansion of -0.5 in x 0.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.584 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (* x x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.587 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.587 * [taylor]: Taking taylor expansion of -0.5 in x 0.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.587 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (* x x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 0.677 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 0.677 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.677 * [taylor]: Taking taylor expansion of -0.5 in x 0.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.677 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 0.680 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 0.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.680 * [taylor]: Taking taylor expansion of -0.5 in x 0.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.681 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 0.707 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 0.707 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.707 * [taylor]: Taking taylor expansion of -0.5 in x 0.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.707 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.707 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.707 * [taylor]: Taking taylor expansion of -1 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.707 * [taylor]: Taking taylor expansion of -1 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 0.710 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 0.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.711 * [taylor]: Taking taylor expansion of -0.5 in x 0.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.711 * [taylor]: Taking taylor expansion of -1 in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.711 * [taylor]: Taking taylor expansion of -1 in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.731 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.731 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.731 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of -0.5 in x 0.731 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.731 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.731 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (* x x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.734 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.734 * [taylor]: Taking taylor expansion of 0.5 in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.735 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.735 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (* x x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.762 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.762 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.762 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.762 * [taylor]: Taking taylor expansion of -0.5 in x 0.762 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.762 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.762 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.762 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.762 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (* x x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.765 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.765 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.765 * [taylor]: Taking taylor expansion of 0.5 in x 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.766 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.766 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.766 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (* x x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 1.746 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.746 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of -0.5 in x 1.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.750 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.750 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.750 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.755 * [taylor]: Taking taylor expansion of 0.5 in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.761 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.761 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.761 * [taylor]: Taking taylor expansion of -0.5 in x 1.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.764 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.770 * [taylor]: Taking taylor expansion of 0.5 in x 1.771 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.907 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.907 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.908 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.908 * [taylor]: Taking taylor expansion of -0.5 in x 1.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.908 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.908 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.908 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.911 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.911 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.912 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.912 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.912 * [taylor]: Taking taylor expansion of -1 in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.912 * [taylor]: Taking taylor expansion of -1 in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.917 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.917 * [taylor]: Taking taylor expansion of 0.5 in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.922 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.923 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.923 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.923 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.923 * [taylor]: Taking taylor expansion of -0.5 in x 1.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.923 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.923 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.923 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.923 * [taylor]: Taking taylor expansion of -1 in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.923 * [taylor]: Taking taylor expansion of -1 in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.926 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.927 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.927 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.927 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.927 * [taylor]: Taking taylor expansion of -1 in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.927 * [taylor]: Taking taylor expansion of -1 in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.932 * [taylor]: Taking taylor expansion of 0.5 in x 1.933 * [taylor]: Taking taylor expansion of 1.0 in x 2.070 * * * [progress]: simplifying candidates 2.071 * [simplify]: Simplifying using # : (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (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))))) (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)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ (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)))))))) (log1p (/ (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)))))))) (- (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (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)))))))) (exp (/ (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 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)))))) (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))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (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 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 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 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 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 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 (/ (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 (/ (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 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 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 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 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 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x))))))))) (/ (sqrt (fma 1.0 1.0 (* (- 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 1.0 1.0 (* (- 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 (fma 1.0 1.0 (* (- 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 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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 (* (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 1.0 1.0 (* (- 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 (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))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (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 (/ (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 (+ 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 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))))) (* (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 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (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 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 (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 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))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) 1 (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))))))) 2.151 * * * [progress]: adding candidates to table 2.331 * * [progress]: iteration 3 / 4 2.331 * * * [progress]: picking best candidate 2.345 * * * * [pick]: Picked # 2.345 * * * [progress]: localizing error 2.360 * * * [progress]: generating rewritten candidates 2.360 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 2.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.362 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.373 * * * [progress]: generating series expansions 2.373 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 2.374 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 2.374 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.374 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.374 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.374 * [taylor]: Taking taylor expansion of -0.5 in x 2.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.374 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.374 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (* x x) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.377 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.378 * [taylor]: Taking taylor expansion of -0.5 in x 2.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.378 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.378 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (* x x) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.381 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 2.468 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.468 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.468 * [taylor]: Taking taylor expansion of -0.5 in x 2.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.468 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.471 * [taylor]: Taking taylor expansion of 1.0 in x 2.471 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.472 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.472 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.472 * [taylor]: Taking taylor expansion of -0.5 in x 2.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.472 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.472 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.472 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 2.491 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.491 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.491 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.491 * [taylor]: Taking taylor expansion of -0.5 in x 2.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.491 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.491 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.492 * [taylor]: Taking taylor expansion of 1.0 in x 2.492 * [taylor]: Taking taylor expansion of 1.0 in x 2.492 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.492 * [taylor]: Taking taylor expansion of -1 in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.492 * [taylor]: Taking taylor expansion of -1 in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.495 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.495 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.495 * [taylor]: Taking taylor expansion of -0.5 in x 2.495 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.495 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.495 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.495 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.496 * [taylor]: Taking taylor expansion of 1.0 in x 2.496 * [taylor]: Taking taylor expansion of 1.0 in x 2.496 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.496 * [taylor]: Taking taylor expansion of -1 in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.496 * [taylor]: Taking taylor expansion of -1 in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.521 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 2.521 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.521 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.521 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.521 * [taylor]: Taking taylor expansion of -0.5 in x 2.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.521 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (* x x) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.524 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.525 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.525 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.525 * [taylor]: Taking taylor expansion of -0.5 in x 2.525 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.525 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.525 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.525 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.525 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (* x x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.614 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.614 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.614 * [taylor]: Taking taylor expansion of -0.5 in x 2.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.615 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 2.618 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 2.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.618 * [taylor]: Taking taylor expansion of -0.5 in x 2.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.622 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 2.639 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.639 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.639 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.639 * [taylor]: Taking taylor expansion of -0.5 in x 2.639 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.639 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.639 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.639 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.639 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.639 * [taylor]: Taking taylor expansion of -1 in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.639 * [taylor]: Taking taylor expansion of -1 in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 2.643 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 2.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.643 * [taylor]: Taking taylor expansion of -0.5 in x 2.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.643 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.643 * [taylor]: Taking taylor expansion of -1 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 -1 in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.669 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 2.669 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.669 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.669 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.669 * [taylor]: Taking taylor expansion of -0.5 in x 2.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.669 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of (* x x) in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.672 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.672 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.672 * [taylor]: Taking taylor expansion of 0.5 in x 2.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.673 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.673 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of (* x x) in x 2.673 * [taylor]: Taking taylor expansion of x in x 2.673 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.700 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.700 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 2.700 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.700 * [taylor]: Taking taylor expansion of -0.5 in x 2.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.700 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.700 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.700 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.700 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of (* x x) in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of 1.0 in x 2.703 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.703 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.703 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.703 * [taylor]: Taking taylor expansion of 0.5 in x 2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.704 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.704 * [taylor]: Taking taylor expansion of 1.0 in x 2.704 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.704 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.704 * [taylor]: Taking taylor expansion of 1.0 in x 2.704 * [taylor]: Taking taylor expansion of 1.0 in x 2.704 * [taylor]: Taking taylor expansion of (* x x) in x 2.704 * [taylor]: Taking taylor expansion of x in x 2.704 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 3.515 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 3.516 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.516 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.516 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 3.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.516 * [taylor]: Taking taylor expansion of 1.0 in x 3.516 * [taylor]: Taking taylor expansion of 1.0 in x 3.516 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.516 * [taylor]: Taking taylor expansion of -0.5 in x 3.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.516 * [taylor]: Taking taylor expansion of 1.0 in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.516 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.516 * [taylor]: Taking taylor expansion of 1.0 in x 3.516 * [taylor]: Taking taylor expansion of 1.0 in x 3.516 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.526 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.526 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.526 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.527 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.527 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.527 * [taylor]: Taking taylor expansion of 1.0 in x 3.527 * [taylor]: Taking taylor expansion of 1.0 in x 3.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.527 * [taylor]: Taking taylor expansion of x in x 3.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.527 * [taylor]: Taking taylor expansion of x in x 3.530 * [taylor]: Taking taylor expansion of 1.0 in x 3.532 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.532 * [taylor]: Taking taylor expansion of 0.5 in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.537 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 3.538 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.538 * [taylor]: Taking taylor expansion of -0.5 in x 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.541 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.541 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.541 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.541 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.542 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.547 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.547 * [taylor]: Taking taylor expansion of 0.5 in x 3.548 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [approximate]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 3.680 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.680 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.680 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 3.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.680 * [taylor]: Taking taylor expansion of -0.5 in x 3.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.680 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.681 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.681 * [taylor]: Taking taylor expansion of -1 in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.681 * [taylor]: Taking taylor expansion of -1 in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.691 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.691 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.691 * [taylor]: Taking taylor expansion of -1 in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.692 * [taylor]: Taking taylor expansion of -1 in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.695 * [taylor]: Taking taylor expansion of 1.0 in x 3.696 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.697 * [taylor]: Taking taylor expansion of 0.5 in x 3.697 * [taylor]: Taking taylor expansion of 1.0 in x 3.702 * [taylor]: Taking taylor expansion of (/ (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.702 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 3.702 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 3.702 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.702 * [taylor]: Taking taylor expansion of 1.0 in x 3.702 * [taylor]: Taking taylor expansion of 1.0 in x 3.702 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.702 * [taylor]: Taking taylor expansion of -0.5 in x 3.702 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.702 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.702 * [taylor]: Taking taylor expansion of 1.0 in x 3.702 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.703 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.703 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.703 * [taylor]: Taking taylor expansion of -1 in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.703 * [taylor]: Taking taylor expansion of -1 in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.706 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.706 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.706 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.706 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.706 * [taylor]: Taking taylor expansion of -1 in x 3.706 * [taylor]: Taking taylor expansion of x in x 3.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.707 * [taylor]: Taking taylor expansion of -1 in x 3.707 * [taylor]: Taking taylor expansion of x in x 3.710 * [taylor]: Taking taylor expansion of 1.0 in x 3.712 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.712 * [taylor]: Taking taylor expansion of 0.5 in x 3.712 * [taylor]: Taking taylor expansion of 1.0 in x 3.844 * * * [progress]: simplifying candidates 3.846 * [simplify]: Simplifying using # : (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (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))))) (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)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp 1) (exp (* (cbrt (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (sqrt (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp 1) (exp (log (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log 1)) (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (/ (exp (log (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)))))))) (log1p (/ (exp (log (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)))))))) (- (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (exp (log (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)))))))) (exp (/ (exp (log (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)))))))) (/ (* (* (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log (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))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (exp (log (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 (/ (exp (log (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 (/ (exp (log (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)))))))) (* (* (/ (exp (log (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))))))) (/ (exp (log (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)))))))) (/ (exp (log (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 (/ (exp (log (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 (/ (exp (log (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)))))))) (- (exp (log (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))))))) (/ (exp (log (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 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))))))))) (/ (exp (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 1) (/ (exp (log (cbrt (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))))))) (/ (exp (log (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 1) (/ (exp (log (cbrt (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))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 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))))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1) (/ (exp (log (sqrt (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))))))) (/ (exp (log (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1) (/ (exp (log (sqrt (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))))))) (/ (exp (log 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))))))))) (/ (exp (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 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1.0) (sqrt 0.5)) 1.0) 2)))))))))) 3.864 * * [simplify]: iteration 0 : 699 enodes (cost 1881 ) 3.876 * * [simplify]: iteration 1 : 3177 enodes (cost 1718 ) 3.928 * * [simplify]: iteration 2 : 5001 enodes (cost 1658 ) 3.936 * [simplify]: Simplified to: (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (exp 2) (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) E (exp (* (cbrt (log 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x)))))))) 1)) (/ (sqrt (fma 1.0 1.0 (* (- 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)) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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)) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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)) (/ 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 1.0 1.0 (* (- 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 (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))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (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 (/ (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 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 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 (exp (log (fma 1.0 1.0 (* (- 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 (exp 2) (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (exp (log (fma 1.0 1.0 (* (- 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 (exp 2) (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (exp (log (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))))))) (pow (exp 2) (log (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (exp (log (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 (fma 1.0 1.0 (* (- 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)) (/ (sqrt (fma 1.0 1.0 (* (- 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)) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (/ (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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)) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (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)) (/ 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 1.0 1.0 (* (- 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 (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))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (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 (/ (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 (+ 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 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))))) (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 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (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 (exp (log (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 (exp (log (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 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 (exp (log (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 (exp (log (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 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))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) 1 (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))))))) 3.937 * * * [progress]: adding candidates to table 4.212 * * [progress]: iteration 4 / 4 4.212 * * * [progress]: picking best candidate 4.223 * * * * [pick]: Picked # 4.223 * * * [progress]: localizing error 4.239 * * * [progress]: generating rewritten candidates 4.239 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.263 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 4.272 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.364 * * * [progress]: generating series expansions 4.364 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.365 * [approximate]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in (x) around 0 4.366 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 4.366 * [taylor]: Taking taylor expansion of 1.0 in x 4.366 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 4.366 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.366 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.366 * [taylor]: Taking taylor expansion of 0.5 in x 4.366 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 4.366 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 4.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.366 * [taylor]: Taking taylor expansion of 1.0 in x 4.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.367 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.367 * [taylor]: Taking taylor expansion of 1.0 in x 4.367 * [taylor]: Taking taylor expansion of 1.0 in x 4.367 * [taylor]: Taking taylor expansion of (* x x) in x 4.367 * [taylor]: Taking taylor expansion of x in x 4.367 * [taylor]: Taking taylor expansion of x in x 4.370 * [taylor]: Taking taylor expansion of 1.0 in x 4.385 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 4.385 * [taylor]: Taking taylor expansion of 1.0 in x 4.385 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 4.385 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.385 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.385 * [taylor]: Taking taylor expansion of 0.5 in x 4.386 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 4.386 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 4.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.386 * [taylor]: Taking taylor expansion of 1.0 in x 4.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.386 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.386 * [taylor]: Taking taylor expansion of 1.0 in x 4.386 * [taylor]: Taking taylor expansion of 1.0 in x 4.386 * [taylor]: Taking taylor expansion of (* x x) in x 4.386 * [taylor]: Taking taylor expansion of x in x 4.386 * [taylor]: Taking taylor expansion of x in x 4.389 * [taylor]: Taking taylor expansion of 1.0 in x 5.360 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 5.360 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 5.360 * [taylor]: Taking taylor expansion of 1.0 in x 5.360 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 5.360 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 5.360 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 5.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.360 * [taylor]: Taking taylor expansion of 1.0 in x 5.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.360 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.360 * [taylor]: Taking taylor expansion of 1.0 in x 5.360 * [taylor]: Taking taylor expansion of 1.0 in x 5.360 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.360 * [taylor]: Taking taylor expansion of x in x 5.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.361 * [taylor]: Taking taylor expansion of x in x 5.364 * [taylor]: Taking taylor expansion of 1.0 in x 5.368 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 5.368 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.368 * [taylor]: Taking taylor expansion of 0.5 in x 5.368 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 5.368 * [taylor]: Taking taylor expansion of 1.0 in x 5.368 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 5.368 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 5.369 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 5.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.369 * [taylor]: Taking taylor expansion of 1.0 in x 5.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.369 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.369 * [taylor]: Taking taylor expansion of 1.0 in x 5.369 * [taylor]: Taking taylor expansion of 1.0 in x 5.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.369 * [taylor]: Taking taylor expansion of x in x 5.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.369 * [taylor]: Taking taylor expansion of x in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 5.376 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.376 * [taylor]: Taking taylor expansion of 0.5 in x 5.453 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 5.453 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 5.453 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 5.453 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 5.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.453 * [taylor]: Taking taylor expansion of -1 in x 5.453 * [taylor]: Taking taylor expansion of x in x 5.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.454 * [taylor]: Taking taylor expansion of -1 in x 5.454 * [taylor]: Taking taylor expansion of x in x 5.457 * [taylor]: Taking taylor expansion of 1.0 in x 5.461 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 5.461 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.461 * [taylor]: Taking taylor expansion of 0.5 in x 5.461 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 5.461 * [taylor]: Taking taylor expansion of 1.0 in x 5.461 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 5.461 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 5.461 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 5.461 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.461 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.461 * [taylor]: Taking taylor expansion of 1.0 in x 5.461 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.461 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.462 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.462 * [taylor]: Taking taylor expansion of 1.0 in x 5.462 * [taylor]: Taking taylor expansion of 1.0 in x 5.462 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.462 * [taylor]: Taking taylor expansion of -1 in x 5.462 * [taylor]: Taking taylor expansion of x in x 5.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.462 * [taylor]: Taking taylor expansion of -1 in x 5.462 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.469 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 5.469 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.469 * [taylor]: Taking taylor expansion of 0.5 in x 5.545 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 5.545 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 5.545 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 5.545 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.545 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.545 * [taylor]: Taking taylor expansion of 0.5 in x 5.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.546 * [taylor]: Taking taylor expansion of 1.0 in x 5.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.546 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.546 * [taylor]: Taking taylor expansion of 1.0 in x 5.546 * [taylor]: Taking taylor expansion of 1.0 in x 5.546 * [taylor]: Taking taylor expansion of (* x x) in x 5.546 * [taylor]: Taking taylor expansion of x in x 5.546 * [taylor]: Taking taylor expansion of x in x 5.549 * [taylor]: Taking taylor expansion of 1.0 in x 5.557 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 5.557 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.557 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.557 * [taylor]: Taking taylor expansion of 0.5 in x 5.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.558 * [taylor]: Taking taylor expansion of 1.0 in x 5.558 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.558 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.558 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.558 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.558 * [taylor]: Taking taylor expansion of 1.0 in x 5.558 * [taylor]: Taking taylor expansion of 1.0 in x 5.558 * [taylor]: Taking taylor expansion of (* x x) in x 5.558 * [taylor]: Taking taylor expansion of x in x 5.558 * [taylor]: Taking taylor expansion of x in x 5.561 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 6.043 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 6.043 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.043 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.043 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.043 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.043 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.043 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.043 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.043 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.043 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.044 * [taylor]: Taking taylor expansion of x in x 6.047 * [taylor]: Taking taylor expansion of 1.0 in x 6.048 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.049 * [taylor]: Taking taylor expansion of 0.5 in x 6.050 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 6.050 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.050 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.050 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.050 * [taylor]: Taking taylor expansion of 1.0 in x 6.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.050 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.051 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.051 * [taylor]: Taking taylor expansion of 1.0 in x 6.051 * [taylor]: Taking taylor expansion of 1.0 in x 6.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.051 * [taylor]: Taking taylor expansion of x in x 6.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.051 * [taylor]: Taking taylor expansion of x in x 6.054 * [taylor]: Taking taylor expansion of 1.0 in x 6.056 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.056 * [taylor]: Taking taylor expansion of 0.5 in x 6.134 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 6.134 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 6.134 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.134 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.134 * [taylor]: Taking taylor expansion of 1.0 in x 6.134 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.134 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.135 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.135 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.135 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.135 * [taylor]: Taking taylor expansion of 1.0 in x 6.135 * [taylor]: Taking taylor expansion of 1.0 in x 6.135 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.135 * [taylor]: Taking taylor expansion of -1 in x 6.135 * [taylor]: Taking taylor expansion of x in x 6.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.135 * [taylor]: Taking taylor expansion of -1 in x 6.135 * [taylor]: Taking taylor expansion of x in x 6.138 * [taylor]: Taking taylor expansion of 1.0 in x 6.140 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.140 * [taylor]: Taking taylor expansion of 0.5 in x 6.142 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 6.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.142 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.142 * [taylor]: Taking taylor expansion of 1.0 in x 6.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.142 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.142 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.142 * [taylor]: Taking taylor expansion of 1.0 in x 6.142 * [taylor]: Taking taylor expansion of 1.0 in x 6.142 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.142 * [taylor]: Taking taylor expansion of -1 in x 6.142 * [taylor]: Taking taylor expansion of x in x 6.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.142 * [taylor]: Taking taylor expansion of -1 in x 6.142 * [taylor]: Taking taylor expansion of x in x 6.145 * [taylor]: Taking taylor expansion of 1.0 in x 6.147 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.147 * [taylor]: Taking taylor expansion of 0.5 in x 6.222 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (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))))))) in (x) around 0 6.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (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))))))) in x 6.223 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 6.223 * [taylor]: Taking taylor expansion of 1.0 in x 6.223 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 6.223 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 6.223 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.223 * [taylor]: Taking taylor expansion of 0.5 in x 6.224 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 6.224 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 6.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.224 * [taylor]: Taking taylor expansion of 1.0 in x 6.224 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.224 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.224 * [taylor]: Taking taylor expansion of 1.0 in x 6.224 * [taylor]: Taking taylor expansion of 1.0 in x 6.224 * [taylor]: Taking taylor expansion of (* x x) in x 6.224 * [taylor]: Taking taylor expansion of x in x 6.224 * [taylor]: Taking taylor expansion of x in x 6.227 * [taylor]: Taking taylor expansion of 1.0 in x 6.249 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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)))))) in x 6.250 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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)))))) 6.250 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of (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))))) in x 6.250 * [taylor]: Rewrote expression to (+ (* 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))))) 6.250 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.250 * [taylor]: Taking taylor expansion of 0.5 in x 6.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.250 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.250 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.250 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of (* x x) in x 6.250 * [taylor]: Taking taylor expansion of x in x 6.250 * [taylor]: Taking taylor expansion of x in x 6.253 * [taylor]: Taking taylor expansion of 1.0 in x 6.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.253 * [taylor]: Taking taylor expansion of 1.0 in x 6.253 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.254 * [taylor]: Taking taylor expansion of 0.5 in x 6.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.254 * [taylor]: Taking taylor expansion of 1.0 in x 6.254 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.254 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.254 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.254 * [taylor]: Taking taylor expansion of 1.0 in x 6.254 * [taylor]: Taking taylor expansion of 1.0 in x 6.254 * [taylor]: Taking taylor expansion of (* x x) in x 6.254 * [taylor]: Taking taylor expansion of x in x 6.254 * [taylor]: Taking taylor expansion of x in x 6.257 * [taylor]: Taking taylor expansion of 1.0 in x 6.316 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (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))))))) in x 6.316 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 6.316 * [taylor]: Taking taylor expansion of 1.0 in x 6.316 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 6.316 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 6.316 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.316 * [taylor]: Taking taylor expansion of 0.5 in x 6.317 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 6.317 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 6.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.317 * [taylor]: Taking taylor expansion of 1.0 in x 6.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.317 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.317 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.317 * [taylor]: Taking taylor expansion of 1.0 in x 6.317 * [taylor]: Taking taylor expansion of 1.0 in x 6.317 * [taylor]: Taking taylor expansion of (* x x) in x 6.317 * [taylor]: Taking taylor expansion of x in x 6.317 * [taylor]: Taking taylor expansion of x in x 6.327 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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)))))) in x 6.342 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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)))))) 6.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [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))))) in x 6.342 * [taylor]: Rewrote expression to (+ (* 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))))) 6.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.342 * [taylor]: Taking taylor expansion of 0.5 in x 6.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.342 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [taylor]: Taking taylor expansion of 1.0 in x 6.342 * [taylor]: Taking taylor expansion of (* x x) in x 6.342 * [taylor]: Taking taylor expansion of x in x 6.342 * [taylor]: Taking taylor expansion of x in x 6.346 * [taylor]: Taking taylor expansion of 1.0 in x 6.346 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.346 * [taylor]: Taking taylor expansion of 1.0 in x 6.346 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.346 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.346 * [taylor]: Taking taylor expansion of 0.5 in x 6.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.346 * [taylor]: Taking taylor expansion of 1.0 in x 6.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.346 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.347 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.347 * [taylor]: Taking taylor expansion of 1.0 in x 6.347 * [taylor]: Taking taylor expansion of 1.0 in x 6.347 * [taylor]: Taking taylor expansion of (* x x) in x 6.347 * [taylor]: Taking taylor expansion of x in x 6.347 * [taylor]: Taking taylor expansion of x in x 6.349 * [taylor]: Taking taylor expansion of 1.0 in x 10.954 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in (x) around 0 10.954 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in x 10.954 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 10.954 * [taylor]: Taking taylor expansion of 1.0 in x 10.954 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 10.954 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 10.954 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 10.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.954 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.954 * [taylor]: Taking taylor expansion of 1.0 in x 10.954 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.954 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.954 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.954 * [taylor]: Taking taylor expansion of 1.0 in x 10.954 * [taylor]: Taking taylor expansion of 1.0 in x 10.954 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.954 * [taylor]: Taking taylor expansion of x in x 10.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.955 * [taylor]: Taking taylor expansion of x in x 10.958 * [taylor]: Taking taylor expansion of 1.0 in x 10.962 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 10.962 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.962 * [taylor]: Taking taylor expansion of 0.5 in x 10.962 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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))))) in x 10.963 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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))))) 10.963 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.963 * [taylor]: Taking taylor expansion of 1.0 in x 10.963 * [taylor]: Taking taylor expansion of 1.0 in x 10.963 * [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)))) in x 10.963 * [taylor]: Rewrote expression to (+ (* 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)))) 10.963 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.963 * [taylor]: Taking taylor expansion of 0.5 in x 10.963 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.963 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.963 * [taylor]: Taking taylor expansion of 1.0 in x 10.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.963 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.963 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.963 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.963 * [taylor]: Taking taylor expansion of 1.0 in x 10.963 * [taylor]: Taking taylor expansion of 1.0 in x 10.963 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.963 * [taylor]: Taking taylor expansion of x in x 10.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.963 * [taylor]: Taking taylor expansion of x in x 10.966 * [taylor]: Taking taylor expansion of 1.0 in x 10.966 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 10.966 * [taylor]: Taking taylor expansion of 1.0 in x 10.966 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 10.966 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.967 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.967 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.967 * [taylor]: Taking taylor expansion of 1.0 in x 10.967 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.967 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.967 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.967 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.967 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.967 * [taylor]: Taking taylor expansion of 1.0 in x 10.967 * [taylor]: Taking taylor expansion of 1.0 in x 10.967 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.967 * [taylor]: Taking taylor expansion of x in x 10.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.967 * [taylor]: Taking taylor expansion of x in x 10.970 * [taylor]: Taking taylor expansion of 1.0 in x 10.980 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.980 * [taylor]: Taking taylor expansion of 0.5 in x 10.999 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in x 10.999 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 11.000 * [taylor]: Taking taylor expansion of 1.0 in x 11.000 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 11.000 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 11.000 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 11.000 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 11.000 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 11.000 * [taylor]: Taking taylor expansion of 1.0 in x 11.000 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 11.000 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.000 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.000 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.000 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.000 * [taylor]: Taking taylor expansion of 1.0 in x 11.000 * [taylor]: Taking taylor expansion of 1.0 in x 11.000 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.000 * [taylor]: Taking taylor expansion of x in x 11.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.000 * [taylor]: Taking taylor expansion of x in x 11.003 * [taylor]: Taking taylor expansion of 1.0 in x 11.007 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 11.007 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.007 * [taylor]: Taking taylor expansion of 0.5 in x 11.008 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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))))) in x 11.008 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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))))) 11.008 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [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)))) in x 11.008 * [taylor]: Rewrote expression to (+ (* 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)))) 11.008 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 11.008 * [taylor]: Taking taylor expansion of 0.5 in x 11.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 11.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 11.008 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.008 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [taylor]: Taking taylor expansion of 1.0 in x 11.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.008 * [taylor]: Taking taylor expansion of x in x 11.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.009 * [taylor]: Taking taylor expansion of x in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 11.012 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 11.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 11.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 11.012 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.012 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [taylor]: Taking taylor expansion of 1.0 in x 11.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.012 * [taylor]: Taking taylor expansion of x in x 11.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.012 * [taylor]: Taking taylor expansion of x in x 11.015 * [taylor]: Taking taylor expansion of 1.0 in x 11.017 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.018 * [taylor]: Taking taylor expansion of 0.5 in x 11.549 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in (x) around 0 11.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in x 11.549 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 11.549 * [taylor]: Taking taylor expansion of 1.0 in x 11.549 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 11.549 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 11.549 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 11.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.549 * [taylor]: Taking taylor expansion of 1.0 in x 11.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.550 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.550 * [taylor]: Taking taylor expansion of 1.0 in x 11.550 * [taylor]: Taking taylor expansion of 1.0 in x 11.550 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.550 * [taylor]: Taking taylor expansion of -1 in x 11.550 * [taylor]: Taking taylor expansion of x in x 11.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.550 * [taylor]: Taking taylor expansion of -1 in x 11.550 * [taylor]: Taking taylor expansion of x in x 11.553 * [taylor]: Taking taylor expansion of 1.0 in x 11.557 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 11.557 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.557 * [taylor]: Taking taylor expansion of 0.5 in x 11.558 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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))))) in x 11.558 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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))))) 11.558 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.558 * [taylor]: Taking taylor expansion of 1.0 in x 11.558 * [taylor]: Taking taylor expansion of 1.0 in x 11.558 * [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)))) in x 11.558 * [taylor]: Rewrote expression to (+ (* 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)))) 11.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.558 * [taylor]: Taking taylor expansion of 0.5 in x 11.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.559 * [taylor]: Taking taylor expansion of 1.0 in x 11.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.559 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.559 * [taylor]: Taking taylor expansion of 1.0 in x 11.559 * [taylor]: Taking taylor expansion of 1.0 in x 11.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.559 * [taylor]: Taking taylor expansion of -1 in x 11.559 * [taylor]: Taking taylor expansion of x in x 11.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.559 * [taylor]: Taking taylor expansion of -1 in x 11.559 * [taylor]: Taking taylor expansion of x in x 11.562 * [taylor]: Taking taylor expansion of 1.0 in x 11.562 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 11.562 * [taylor]: Taking taylor expansion of 1.0 in x 11.562 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 11.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.562 * [taylor]: Taking taylor expansion of 1.0 in x 11.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.562 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.562 * [taylor]: Taking taylor expansion of 1.0 in x 11.563 * [taylor]: Taking taylor expansion of 1.0 in x 11.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.563 * [taylor]: Taking taylor expansion of -1 in x 11.563 * [taylor]: Taking taylor expansion of x in x 11.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.563 * [taylor]: Taking taylor expansion of -1 in x 11.563 * [taylor]: Taking taylor expansion of x in x 11.566 * [taylor]: Taking taylor expansion of 1.0 in x 11.568 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.568 * [taylor]: Taking taylor expansion of 0.5 in x 11.587 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (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)))))) in x 11.587 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 11.588 * [taylor]: Taking taylor expansion of 1.0 in x 11.588 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 11.588 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 11.588 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 11.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.588 * [taylor]: Taking taylor expansion of 1.0 in x 11.588 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.588 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.588 * [taylor]: Taking taylor expansion of 1.0 in x 11.588 * [taylor]: Taking taylor expansion of 1.0 in x 11.588 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.588 * [taylor]: Taking taylor expansion of -1 in x 11.588 * [taylor]: Taking taylor expansion of x in x 11.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.588 * [taylor]: Taking taylor expansion of -1 in x 11.588 * [taylor]: Taking taylor expansion of x in x 11.591 * [taylor]: Taking taylor expansion of 1.0 in x 11.595 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 11.595 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.595 * [taylor]: Taking taylor expansion of 0.5 in x 11.596 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (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))))) in x 11.596 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (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))))) 11.596 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.596 * [taylor]: Taking taylor expansion of 1.0 in x 11.596 * [taylor]: Taking taylor expansion of 1.0 in x 11.596 * [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)))) in x 11.596 * [taylor]: Rewrote expression to (+ (* 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)))) 11.596 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.596 * [taylor]: Taking taylor expansion of 0.5 in x 11.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.597 * [taylor]: Taking taylor expansion of 1.0 in x 11.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.597 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.597 * [taylor]: Taking taylor expansion of 1.0 in x 11.597 * [taylor]: Taking taylor expansion of 1.0 in x 11.597 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.597 * [taylor]: Taking taylor expansion of -1 in x 11.597 * [taylor]: Taking taylor expansion of x in x 11.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.597 * [taylor]: Taking taylor expansion of -1 in x 11.597 * [taylor]: Taking taylor expansion of x in x 11.600 * [taylor]: Taking taylor expansion of 1.0 in x 11.600 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 11.601 * [taylor]: Taking taylor expansion of 1.0 in x 11.601 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 11.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 11.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 11.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 11.601 * [taylor]: Taking taylor expansion of 1.0 in x 11.601 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 11.601 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.601 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.601 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.601 * [taylor]: Taking taylor expansion of 1.0 in x 11.601 * [taylor]: Taking taylor expansion of 1.0 in x 11.601 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.601 * [taylor]: Taking taylor expansion of -1 in x 11.601 * [taylor]: Taking taylor expansion of x in x 11.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.601 * [taylor]: Taking taylor expansion of -1 in x 11.601 * [taylor]: Taking taylor expansion of x in x 11.604 * [taylor]: Taking taylor expansion of 1.0 in x 11.606 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.606 * [taylor]: Taking taylor expansion of 0.5 in x 12.142 * * * [progress]: simplifying candidates 12.154 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (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))))))))) (fma (- (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 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))))) (fma (- (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (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)))))))) (fma (- (* (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 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (- (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1 (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 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(sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x))) (+ (* 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2))))) (+ (* 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2)))) (+ (* 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2))))) (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5))))))))) 12.220 * * [simplify]: iteration 0 : 2324 enodes (cost 11810 ) 12.254 * * [simplify]: iteration 1 : 5001 enodes (cost 10688 ) 12.303 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 (* 1.0 1.0) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow 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(pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.0625 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (fma 0.0625 (/ (pow x 4) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2) (* (pow (sqrt 1.0) 8) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 1.5 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 4) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.1875 (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))) (fma 0.375 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.1875 (* (/ (* (pow (sqrt 0.5) 3) (pow x 4)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (fma 0.125 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (* 0.375 (* (/ (* (pow (sqrt 0.5) 3) (pow x 4)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 7))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))))))))))))))))))))))) (fma 0.5625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 5) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.125 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (pow (sqrt 0.5) 3) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))) (fma 0.125 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma 0.0625 (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (fma 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.9375 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 7) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 1.5 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.25 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 3))) (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 3) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 4) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (* 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))))))))))))))))))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (- (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (* 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2))))))))))))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (+ (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (- (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (fma 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2)))) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)))))))))) 12.309 * * * [progress]: adding candidates to table 13.061 * [progress]: [Phase 3 of 3] Extracting. 13.061 * * [regime]: Finding splitpoints for: (# # # #) 13.066 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 13.066 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 13.093 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 13.115 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 13.144 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 13.167 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 13.194 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 13.212 * * * * [regimes]: Trying to branch on x from (# # # #) 13.247 * * * [regime]: Found split indices: #