13.774 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.035 * [simplify]: Sending expressions to egg_math: (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 0.038 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.042 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.045 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.046 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.046 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.071 * [taylor]: Taking taylor expansion of 0.5 in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (* x x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [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 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.310 * [taylor]: Taking taylor expansion of 0.5 in x 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.310 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.315 * [taylor]: Taking taylor expansion of 0.5 in x 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.353 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.358 * [taylor]: Taking taylor expansion of 0.5 in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.359 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.359 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.359 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.397 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.397 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.397 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (* x x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (* x x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.465 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.465 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.490 * * * [progress]: simplifying candidates 0.491 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 0.492 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (fma (sqrt h0) (sqrt h0) (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (fma 1 h0 (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma 1 h0 (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma 1 h0 (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma 1 h0 (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (expm1 (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (log1p (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (/ (exp h0) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (log (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (exp (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (* (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (pow h0 3) (pow (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 3)) (+ (* h0 h0) (+ (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (* h0 h0) (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (+ h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (+ (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (expm1 (/ h0 (hypot h0 h2))) (log1p (/ h0 (hypot h0 h2))) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (- (+ (* h3 (* (/ (* (pow h2 2) (sqrt h1)) (pow (sqrt h0) 3)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))) (+ (* h4 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 6)) (sqrt (/ 1 (pow (+ (* h0 (/ 1 (sqrt h0))) h0) 3))))) h0)) (+ (* (sqrt (+ (* h0 (/ 1 (sqrt h0))) h0)) (sqrt h1)) (* h5 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 5)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))))) (- (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) h0) (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) (* (sqrt h0) (sqrt h1)))) (- (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) h0)) (* (sqrt h0) (sqrt h1))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h7 (/ (pow h2 4) (pow (sqrt h0) 5)))) (* h1 (/ (pow h2 2) (pow (sqrt h0) 3)))) (- (+ (* h7 (/ 1 (pow h2 5))) (* h0 (/ 1 h2))) (* h1 (/ 1 (pow h2 3)))) (- (* h1 (/ 1 (pow h2 3))) (+ (* h0 (/ 1 h2)) (* h7 (/ 1 (pow h2 5))))) 0.498 * * [simplify]: iteration 0 : 422 enodes (cost 844 ) 0.506 * * [simplify]: iteration 1 : 1629 enodes (cost 601 ) 0.537 * * [simplify]: iteration 2 : 5001 enodes (cost 599 ) 0.540 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 0.541 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.741 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.742 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.742 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.742 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.742 * [taylor]: Taking taylor expansion of 0.5 in x 0.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.742 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.742 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (* x x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.745 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.745 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.745 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.745 * [taylor]: Taking taylor expansion of 0.5 in x 0.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.745 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.745 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (* x x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 0.833 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.833 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.833 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.833 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.833 * [taylor]: Taking taylor expansion of 0.5 in x 0.833 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.837 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.837 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.837 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.837 * [taylor]: Taking taylor expansion of 0.5 in x 0.837 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.837 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.837 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.857 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.857 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.857 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.857 * [taylor]: Taking taylor expansion of 0.5 in x 0.857 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.857 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.857 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.857 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.857 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.857 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.860 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.860 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.860 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.860 * [taylor]: Taking taylor expansion of 0.5 in x 0.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.860 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.860 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.860 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.885 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.886 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (* x x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.888 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.888 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (* x x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.926 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.951 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.954 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.954 * [taylor]: Taking taylor expansion of -1 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.955 * [taylor]: Taking taylor expansion of -1 in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.982 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.982 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.982 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (* x x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.985 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (* x x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of x in x 1.023 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.023 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.023 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.027 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.054 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.054 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.054 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.054 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.057 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.057 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.057 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.057 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.058 * [taylor]: Taking taylor expansion of -1 in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.078 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.079 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.079 * [taylor]: Taking taylor expansion of 0.5 in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.079 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.080 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.080 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.080 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (* x x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.088 * [taylor]: Taking taylor expansion of 0.5 in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.088 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (* x x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.305 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.310 * [taylor]: Taking taylor expansion of 0.5 in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.311 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.311 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.316 * [taylor]: Taking taylor expansion of 0.5 in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.344 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.349 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.350 * [taylor]: Taking taylor expansion of -1 in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.351 * [taylor]: Taking taylor expansion of -1 in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.355 * [taylor]: Taking taylor expansion of 0.5 in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * * * [progress]: simplifying candidates 1.384 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.390 * [simplify]: Sending expressions to egg_math: (expm1 (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (log1p (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))) (log (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (expm1 (/ h1 (hypot h1 h2))) (log1p (/ h1 (hypot h1 h2))) (- (log h1) (log (hypot h1 h2))) (log (/ h1 (hypot h1 h2))) (exp (/ h1 (hypot h1 h2))) (/ (* (* h1 h1) h1) (* (* (hypot h1 h2) (hypot h1 h2)) (hypot h1 h2))) (* (cbrt (/ h1 (hypot h1 h2))) (cbrt (/ h1 (hypot h1 h2)))) (cbrt (/ h1 (hypot h1 h2))) (* (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2))) (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (- h1) (- (hypot h1 h2)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (cbrt h1) (cbrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (hypot h1 h2))) (/ (cbrt h1) (sqrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (hypot h1 h2)) (/ (sqrt h1) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (sqrt h1) (cbrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) 1) (/ (sqrt h1) (hypot h1 h2)) (/ 1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (cbrt (hypot h1 h2))) (/ 1 (sqrt (hypot h1 h2))) (/ h1 (sqrt (hypot h1 h2))) (/ 1 1) (/ h1 (hypot h1 h2)) (/ 1 (hypot h1 h2)) (/ (hypot h1 h2) h1) (/ h1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (sqrt (hypot h1 h2))) (/ h1 1) (/ (hypot h1 h2) (cbrt h1)) (/ (hypot h1 h2) (sqrt h1)) (/ (hypot h1 h2) h1) (expm1 (/ h1 (hypot h1 h2))) (log1p (/ h1 (hypot h1 h2))) (- (log h1) (log (hypot h1 h2))) (log (/ h1 (hypot h1 h2))) (exp (/ h1 (hypot h1 h2))) (/ (* (* h1 h1) h1) (* (* (hypot h1 h2) (hypot h1 h2)) (hypot h1 h2))) (* (cbrt (/ h1 (hypot h1 h2))) (cbrt (/ h1 (hypot h1 h2)))) (cbrt (/ h1 (hypot h1 h2))) (* (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2))) (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (- h1) (- (hypot h1 h2)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (cbrt h1) (cbrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (hypot h1 h2))) (/ (cbrt h1) (sqrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (hypot h1 h2)) (/ (sqrt h1) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (sqrt h1) (cbrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) 1) (/ (sqrt h1) (hypot h1 h2)) (/ 1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (cbrt (hypot h1 h2))) (/ 1 (sqrt (hypot h1 h2))) (/ h1 (sqrt (hypot h1 h2))) (/ 1 1) (/ h1 (hypot h1 h2)) (/ 1 (hypot h1 h2)) (/ (hypot h1 h2) h1) (/ h1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (sqrt (hypot h1 h2))) (/ h1 1) (/ (hypot h1 h2) (cbrt h1)) (/ (hypot h1 h2) (sqrt h1)) (/ (hypot h1 h2) h1) (expm1 (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (log1p (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (* (exp h1) (exp (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (log (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (exp (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (* (cbrt (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (cbrt (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (cbrt (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (* (* (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (sqrt (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (sqrt (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (+ (pow h1 3) (pow (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) 3)) (+ (* h1 h1) (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (- (* h1 h1) (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (- h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (+ h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h5 (/ (pow h2 4) (pow (sqrt h1) 5)))) (* h0 (/ (pow h2 2) (pow (sqrt h1) 3)))) (- (+ (* h5 (/ 1 (pow h2 5))) (* h1 (/ 1 h2))) (* h0 (/ 1 (pow h2 3)))) (- (* h0 (/ 1 (pow h2 3))) (+ (* h1 (/ 1 h2)) (* h5 (/ 1 (pow h2 5))))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h5 (/ (pow h2 4) (pow (sqrt h1) 5)))) (* h0 (/ (pow h2 2) (pow (sqrt h1) 3)))) (- (+ (* h5 (/ 1 (pow h2 5))) (* h1 (/ 1 h2))) (* h0 (/ 1 (pow h2 3)))) (- (* h0 (/ 1 (pow h2 3))) (+ (* h1 (/ 1 h2)) (* h5 (/ 1 (pow h2 5))))) (- (+ (* (sqrt (+ (* h1 (/ 1 (sqrt h1))) h1)) (sqrt h0)) (+ (* h4 (* (/ (* (pow h2 4) (sqrt h0)) (pow (sqrt h1) 5)) (sqrt (/ 1 (+ (* h1 (/ 1 (sqrt h1))) h1))))) h1)) (+ (* h3 (* (/ (* (pow h2 2) (sqrt h0)) (pow (sqrt h1) 3)) (sqrt (/ 1 (+ (* h1 (/ 1 (sqrt h1))) h1))))) (* h6 (* (/ (* (pow h2 4) (sqrt h0)) (pow (sqrt h1) 6)) (sqrt (/ 1 (pow (+ (* h1 (/ 1 (sqrt h1))) h1) 3))))))) (- (+ (* h0 (/ (sqrt h0) (* h2 (sqrt h1)))) (+ (* (sqrt h1) (sqrt h0)) h1)) (* h7 (/ (sqrt h0) (* (pow h2 2) (pow (sqrt h1) 3))))) (- (+ (* (sqrt h1) (sqrt h0)) h1) (+ (* h7 (/ (sqrt h0) (* (pow h2 2) (pow (sqrt h1) 3)))) (* h0 (/ (sqrt h0) (* h2 (sqrt h1)))))) 1.396 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.404 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.431 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.434 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) 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(sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 1.435 * * * [progress]: adding candidates to table 1.784 * * [progress]: iteration 3 / 4 1.784 * * * [progress]: picking best candidate 1.795 * * * * [pick]: Picked # 1.795 * * * [progress]: localizing error 1.811 * * * [progress]: generating rewritten candidates 1.811 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.814 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 1.829 * * * [progress]: generating series expansions 1.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.830 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.830 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.830 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.830 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.830 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.830 * [taylor]: Taking taylor expansion of 0.5 in x 1.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.830 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.830 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.831 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of (* x x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.834 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.834 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.834 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.834 * [taylor]: Taking taylor expansion of 0.5 in x 1.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.834 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (* x x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.924 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.924 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.924 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.925 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.925 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.925 * [taylor]: Taking taylor expansion of 0.5 in x 1.925 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.925 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.925 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.925 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.925 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.928 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.928 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.928 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.928 * [taylor]: Taking taylor expansion of 0.5 in x 1.928 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.928 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.928 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.928 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.949 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.949 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.949 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.949 * [taylor]: Taking taylor expansion of 0.5 in x 1.949 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.949 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.949 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.949 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.949 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.949 * [taylor]: Taking taylor expansion of -1 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.949 * [taylor]: Taking taylor expansion of -1 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.952 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.952 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.952 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.952 * [taylor]: Taking taylor expansion of 0.5 in x 1.952 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.952 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.952 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.952 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.952 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.953 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.953 * [taylor]: Taking taylor expansion of -1 in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.953 * [taylor]: Taking taylor expansion of -1 in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.972 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.972 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.972 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.972 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.973 * [taylor]: Taking taylor expansion of 0.5 in x 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.973 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (* x x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.976 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.976 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.976 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.976 * [taylor]: Taking taylor expansion of 0.5 in x 1.976 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.976 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.976 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.976 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.976 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (* x x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.069 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.069 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.069 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.069 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.069 * [taylor]: Taking taylor expansion of 0.5 in x 2.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.069 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.069 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.073 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.073 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.073 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.073 * [taylor]: Taking taylor expansion of 0.5 in x 2.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.073 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.073 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of 1.0 in x 2.076 * [taylor]: Taking taylor expansion of 1.0 in x 2.099 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.100 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.100 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.100 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.100 * [taylor]: Taking taylor expansion of 0.5 in x 2.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.100 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.100 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.100 * [taylor]: Taking taylor expansion of -1 in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.100 * [taylor]: Taking taylor expansion of -1 in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of 1.0 in x 2.103 * [taylor]: Taking taylor expansion of 1.0 in x 2.103 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.103 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.103 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.103 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.103 * [taylor]: Taking taylor expansion of 0.5 in x 2.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.104 * [taylor]: Taking taylor expansion of 1.0 in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.104 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.104 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.104 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.104 * [taylor]: Taking taylor expansion of 1.0 in x 2.104 * [taylor]: Taking taylor expansion of 1.0 in x 2.104 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.104 * [taylor]: Taking taylor expansion of -1 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.104 * [taylor]: Taking taylor expansion of -1 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.123 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.123 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.123 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.123 * [taylor]: Taking taylor expansion of 1.0 in x 2.123 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.123 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.123 * [taylor]: Taking taylor expansion of 1.0 in x 2.123 * [taylor]: Taking taylor expansion of 1.0 in x 2.123 * [taylor]: Taking taylor expansion of (* x x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.126 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.126 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.126 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of (* x x) in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.164 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.164 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.164 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.164 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.164 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.167 * [taylor]: Taking taylor expansion of x in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.196 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.196 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.196 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.196 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.196 * [taylor]: Taking taylor expansion of -1 in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.196 * [taylor]: Taking taylor expansion of -1 in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.200 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.221 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.221 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.221 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.221 * [taylor]: Taking taylor expansion of 1.0 in x 2.221 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.222 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.222 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.222 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of (* x x) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.224 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of (* x x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.269 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.269 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.269 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.270 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.294 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.294 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.294 * [taylor]: Taking taylor expansion of 1.0 in x 2.294 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.295 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.295 * [taylor]: Taking taylor expansion of -1 in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.295 * [taylor]: Taking taylor expansion of -1 in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.298 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.299 * [taylor]: Taking taylor expansion of -1 in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.299 * [taylor]: Taking taylor expansion of -1 in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.320 * * * [progress]: simplifying candidates 2.321 * [simplify]: Simplifying using # : (expm1 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.322 * [simplify]: Sending expressions to egg_math: (expm1 (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log1p (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (exp (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))))) (log (exp (* h1 h1))) (log (* (cbrt (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (log (cbrt (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (sqrt (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (sqrt (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log 1) (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (log (exp (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (log (exp (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (exp 1)) (log (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (exp (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (cbrt (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (cbrt (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (* (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (sqrt (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (sqrt (log (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (expm1 (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (log1p (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))) (log (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (expm1 (/ h1 (hypot h1 h2))) (log1p (/ h1 (hypot h1 h2))) (- (log h1) (log (hypot h1 h2))) (log (/ h1 (hypot h1 h2))) (exp (/ h1 (hypot h1 h2))) (/ (* (* h1 h1) h1) (* (* (hypot h1 h2) (hypot h1 h2)) (hypot h1 h2))) (* (cbrt (/ h1 (hypot h1 h2))) (cbrt (/ h1 (hypot h1 h2)))) (cbrt (/ h1 (hypot h1 h2))) (* (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2))) (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (- h1) (- (hypot h1 h2)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (cbrt h1) (cbrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (hypot h1 h2))) (/ (cbrt h1) (sqrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (hypot h1 h2)) (/ (sqrt h1) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (sqrt h1) (cbrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) 1) (/ (sqrt h1) (hypot h1 h2)) (/ 1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (cbrt (hypot h1 h2))) (/ 1 (sqrt (hypot h1 h2))) (/ h1 (sqrt (hypot h1 h2))) (/ 1 1) (/ h1 (hypot h1 h2)) (/ 1 (hypot h1 h2)) (/ (hypot h1 h2) h1) (/ h1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (sqrt (hypot h1 h2))) (/ h1 1) (/ (hypot h1 h2) (cbrt h1)) (/ (hypot h1 h2) (sqrt h1)) (/ (hypot h1 h2) h1) (expm1 (/ h1 (hypot h1 h2))) (log1p (/ h1 (hypot h1 h2))) (- (log h1) (log (hypot h1 h2))) (log (/ h1 (hypot h1 h2))) (exp (/ h1 (hypot h1 h2))) (/ (* (* h1 h1) h1) (* (* (hypot h1 h2) (hypot h1 h2)) (hypot h1 h2))) (* (cbrt (/ h1 (hypot h1 h2))) (cbrt (/ h1 (hypot h1 h2)))) (cbrt (/ h1 (hypot h1 h2))) (* (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2))) (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (sqrt (/ h1 (hypot h1 h2))) (- h1) (- (hypot h1 h2)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (cbrt h1) (cbrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (hypot h1 h2))) (/ (cbrt h1) (sqrt (hypot h1 h2))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (hypot h1 h2)) (/ (sqrt h1) (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ (sqrt h1) (cbrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) (sqrt (hypot h1 h2))) (/ (sqrt h1) 1) (/ (sqrt h1) (hypot h1 h2)) (/ 1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (cbrt (hypot h1 h2))) (/ 1 (sqrt (hypot h1 h2))) (/ h1 (sqrt (hypot h1 h2))) (/ 1 1) (/ h1 (hypot h1 h2)) (/ 1 (hypot h1 h2)) (/ (hypot h1 h2) h1) (/ h1 (* (cbrt (hypot h1 h2)) (cbrt (hypot h1 h2)))) (/ h1 (sqrt (hypot h1 h2))) (/ h1 1) (/ (hypot h1 h2) (cbrt h1)) (/ (hypot h1 h2) (sqrt h1)) (/ (hypot h1 h2) h1) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h5 (/ (pow h2 4) (pow (sqrt h1) 5)))) (* h0 (/ (pow h2 2) (pow (sqrt h1) 3)))) (- (+ (* h5 (/ 1 (pow h2 5))) (* h1 (/ 1 h2))) (* h0 (/ 1 (pow h2 3)))) (- (* h0 (/ 1 (pow h2 3))) (+ (* h1 (/ 1 h2)) (* h5 (/ 1 (pow h2 5))))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h5 (/ (pow h2 4) (pow (sqrt h1) 5)))) (* h0 (/ (pow h2 2) (pow (sqrt h1) 3)))) (- (+ (* h5 (/ 1 (pow h2 5))) (* h1 (/ 1 h2))) (* h0 (/ 1 (pow h2 3)))) (- (* h0 (/ 1 (pow h2 3))) (+ (* h1 (/ 1 h2)) (* h5 (/ 1 (pow h2 5))))) 2.327 * * [simplify]: iteration 0 : 279 enodes (cost 665 ) 2.332 * * [simplify]: iteration 1 : 931 enodes (cost 600 ) 2.351 * * [simplify]: iteration 2 : 4763 enodes (cost 594 ) 2.475 * * [simplify]: iteration 3 : 5001 enodes (cost 592 ) 2.478 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.479 * * * [progress]: adding candidates to table 2.847 * * [progress]: iteration 4 / 4 2.847 * * * [progress]: picking best candidate 2.855 * * * * [pick]: Picked # 2.855 * * * [progress]: localizing error 2.872 * * * [progress]: generating rewritten candidates 2.872 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.872 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.873 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.886 * * * [progress]: generating series expansions 2.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.887 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.887 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.887 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.887 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.887 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.887 * [taylor]: Taking taylor expansion of 0.5 in x 2.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.887 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.887 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.888 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.888 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.888 * [taylor]: Taking taylor expansion of 1.0 in x 2.888 * [taylor]: Taking taylor expansion of 1.0 in x 2.888 * [taylor]: Taking taylor expansion of (* x x) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.891 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.891 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.891 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.891 * [taylor]: Taking taylor expansion of 0.5 in x 2.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.891 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.891 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.891 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (* x x) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of 1.0 in x 2.894 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.982 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.982 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.982 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.982 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.982 * [taylor]: Taking taylor expansion of 0.5 in x 2.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.982 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.982 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.982 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.982 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of 1.0 in x 2.985 * [taylor]: Taking taylor expansion of 1.0 in x 2.985 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.986 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.986 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.986 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.986 * [taylor]: Taking taylor expansion of 0.5 in x 2.986 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.986 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.986 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.986 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.986 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.989 * [taylor]: Taking taylor expansion of 1.0 in x 2.989 * [taylor]: Taking taylor expansion of 1.0 in x 3.012 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.012 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.012 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.012 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.012 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.012 * [taylor]: Taking taylor expansion of 0.5 in x 3.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.012 * [taylor]: Taking taylor expansion of 1.0 in x 3.012 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.012 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.012 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.013 * [taylor]: Taking taylor expansion of 1.0 in x 3.013 * [taylor]: Taking taylor expansion of 1.0 in x 3.013 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.013 * [taylor]: Taking taylor expansion of -1 in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.013 * [taylor]: Taking taylor expansion of -1 in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of 1.0 in x 3.016 * [taylor]: Taking taylor expansion of 1.0 in x 3.016 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.016 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.016 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.016 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.016 * [taylor]: Taking taylor expansion of 0.5 in x 3.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.016 * [taylor]: Taking taylor expansion of 1.0 in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.016 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.016 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.016 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.016 * [taylor]: Taking taylor expansion of 1.0 in x 3.016 * [taylor]: Taking taylor expansion of 1.0 in x 3.016 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.016 * [taylor]: Taking taylor expansion of -1 in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.017 * [taylor]: Taking taylor expansion of -1 in x 3.017 * [taylor]: Taking taylor expansion of x in x 3.019 * [taylor]: Taking taylor expansion of 1.0 in x 3.019 * [taylor]: Taking taylor expansion of 1.0 in x 3.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.036 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.036 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.036 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.036 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.036 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.036 * [taylor]: Taking taylor expansion of 0.5 in x 3.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.036 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.036 * [taylor]: Taking taylor expansion of 1.0 in x 3.036 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.036 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.036 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.036 * [taylor]: Taking taylor expansion of 1.0 in x 3.036 * [taylor]: Taking taylor expansion of 1.0 in x 3.036 * [taylor]: Taking taylor expansion of (* x x) in x 3.036 * [taylor]: Taking taylor expansion of x in x 3.036 * [taylor]: Taking taylor expansion of x in x 3.039 * [taylor]: Taking taylor expansion of 1.0 in x 3.039 * [taylor]: Taking taylor expansion of 1.0 in x 3.039 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.039 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.039 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.039 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.039 * [taylor]: Taking taylor expansion of 0.5 in x 3.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.039 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.039 * [taylor]: Taking taylor expansion of 1.0 in x 3.039 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.039 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.039 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.039 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.039 * [taylor]: Taking taylor expansion of 1.0 in x 3.039 * [taylor]: Taking taylor expansion of 1.0 in x 3.039 * [taylor]: Taking taylor expansion of (* x x) in x 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [taylor]: Taking taylor expansion of x in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.128 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.128 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.128 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.128 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.128 * [taylor]: Taking taylor expansion of 0.5 in x 3.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.128 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.128 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.128 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.128 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.128 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.128 * [taylor]: Taking taylor expansion of x in x 3.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.128 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.131 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.131 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.131 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.131 * [taylor]: Taking taylor expansion of 0.5 in x 3.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.131 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.131 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.131 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.150 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.150 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.150 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.150 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.150 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.150 * [taylor]: Taking taylor expansion of 0.5 in x 3.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.151 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.151 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.151 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.151 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.151 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.151 * [taylor]: Taking taylor expansion of -1 in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.151 * [taylor]: Taking taylor expansion of -1 in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.154 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.154 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.154 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.154 * [taylor]: Taking taylor expansion of 0.5 in x 3.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.154 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.154 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.154 * [taylor]: Taking taylor expansion of -1 in x 3.154 * [taylor]: Taking taylor expansion of x in x 3.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.155 * [taylor]: Taking taylor expansion of -1 in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.179 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.179 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.180 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.180 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.180 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.180 * [taylor]: Taking taylor expansion of 0.5 in x 3.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.180 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.180 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.180 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [taylor]: Taking taylor expansion of (* x x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.182 * [taylor]: Taking taylor expansion of 1.0 in x 3.182 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.183 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.183 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.183 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.183 * [taylor]: Taking taylor expansion of 0.5 in x 3.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.183 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.183 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.183 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (* x x) in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.185 * [taylor]: Taking taylor expansion of 1.0 in x 3.185 * [taylor]: Taking taylor expansion of 1.0 in x 3.270 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.270 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.271 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.271 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.271 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.271 * [taylor]: Taking taylor expansion of 0.5 in x 3.271 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.271 * [taylor]: Taking taylor expansion of 1.0 in x 3.271 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.271 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.271 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.271 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.271 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.271 * [taylor]: Taking taylor expansion of 1.0 in x 3.271 * [taylor]: Taking taylor expansion of 1.0 in x 3.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.271 * [taylor]: Taking taylor expansion of x in x 3.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.271 * [taylor]: Taking taylor expansion of x in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.274 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.274 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.274 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.274 * [taylor]: Taking taylor expansion of 0.5 in x 3.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.274 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.274 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.274 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.277 * [taylor]: Taking taylor expansion of 1.0 in x 3.277 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.293 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.293 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.293 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.293 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.293 * [taylor]: Taking taylor expansion of 0.5 in x 3.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.293 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.293 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.294 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.294 * [taylor]: Taking taylor expansion of 1.0 in x 3.294 * [taylor]: Taking taylor expansion of 1.0 in x 3.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.294 * [taylor]: Taking taylor expansion of -1 in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.294 * [taylor]: Taking taylor expansion of -1 in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.297 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.297 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.297 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.297 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.297 * [taylor]: Taking taylor expansion of 0.5 in x 3.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.297 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.297 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.297 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.297 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.297 * [taylor]: Taking taylor expansion of -1 in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.297 * [taylor]: Taking taylor expansion of -1 in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.300 * [taylor]: Taking taylor expansion of 1.0 in x 3.300 * [taylor]: Taking taylor expansion of 1.0 in x 3.316 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.317 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in (x) around 0 3.317 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 3.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 3.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 3.317 * [taylor]: Taking taylor expansion of 1/3 in x 3.317 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 3.317 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 3.317 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.317 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.317 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.317 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.317 * [taylor]: Taking taylor expansion of 0.5 in x 3.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.317 * [taylor]: Taking taylor expansion of 1.0 in x 3.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.317 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.318 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [taylor]: Taking taylor expansion of (* x x) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.345 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 3.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 3.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 3.345 * [taylor]: Taking taylor expansion of 1/3 in x 3.345 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 3.345 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 3.345 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.345 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.346 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.346 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.346 * [taylor]: Taking taylor expansion of 0.5 in x 3.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.346 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of (* x x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.348 * [taylor]: Taking taylor expansion of 1.0 in x 3.348 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 3.949 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 3.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 3.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 3.949 * [taylor]: Taking taylor expansion of 1/3 in x 3.949 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 3.949 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 3.949 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.949 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.949 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.949 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.949 * [taylor]: Taking taylor expansion of 0.5 in x 3.949 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.949 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.949 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.949 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.949 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.949 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.949 * [taylor]: Taking taylor expansion of x in x 3.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.950 * [taylor]: Taking taylor expansion of x in x 3.952 * [taylor]: Taking taylor expansion of 1.0 in x 3.952 * [taylor]: Taking taylor expansion of 1.0 in x 3.955 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 3.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 3.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 3.955 * [taylor]: Taking taylor expansion of 1/3 in x 3.955 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 3.955 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 3.955 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.955 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.955 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.955 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.955 * [taylor]: Taking taylor expansion of 0.5 in x 3.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.955 * [taylor]: Taking taylor expansion of 1.0 in x 3.955 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.955 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.956 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.956 * [taylor]: Taking taylor expansion of 1.0 in x 3.956 * [taylor]: Taking taylor expansion of 1.0 in x 3.956 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.956 * [taylor]: Taking taylor expansion of x in x 3.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.956 * [taylor]: Taking taylor expansion of x in x 3.959 * [taylor]: Taking taylor expansion of 1.0 in x 3.959 * [taylor]: Taking taylor expansion of 1.0 in x 4.015 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 4.015 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 4.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 4.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 4.016 * [taylor]: Taking taylor expansion of 1/3 in x 4.016 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 4.016 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 4.016 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.016 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.016 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.016 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.016 * [taylor]: Taking taylor expansion of 0.5 in x 4.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.016 * [taylor]: Taking taylor expansion of 1.0 in x 4.016 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.016 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.016 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.016 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.016 * [taylor]: Taking taylor expansion of 1.0 in x 4.016 * [taylor]: Taking taylor expansion of 1.0 in x 4.016 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.016 * [taylor]: Taking taylor expansion of -1 in x 4.016 * [taylor]: Taking taylor expansion of x in x 4.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.016 * [taylor]: Taking taylor expansion of -1 in x 4.016 * [taylor]: Taking taylor expansion of x in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.022 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 4.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 4.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 4.022 * [taylor]: Taking taylor expansion of 1/3 in x 4.022 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 4.022 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 4.022 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.022 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.022 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.022 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.022 * [taylor]: Taking taylor expansion of 0.5 in x 4.022 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.022 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.022 * [taylor]: Taking taylor expansion of 1.0 in x 4.022 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.022 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.022 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.022 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.023 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.023 * [taylor]: Taking taylor expansion of -1 in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.023 * [taylor]: Taking taylor expansion of -1 in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.026 * [taylor]: Taking taylor expansion of 1.0 in x 4.026 * [taylor]: Taking taylor expansion of 1.0 in x 4.081 * * * [progress]: simplifying candidates 4.082 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1/3 1/3) (+ 1 1) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1 1) (+ (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 1 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 1/3) (* 2 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.08333333333333333 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (+ (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3) (+ (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 8)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.0625 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 4)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))))))) (- (+ (pow 0.25 1/3) (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3)))) (+ (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2)))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (- (+ (pow 0.25 1/3) (+ (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2))))) 4.083 * [simplify]: Sending expressions to egg_math: (expm1 (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (log1p (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))) (log (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (expm1 (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (log1p (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))) (log (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (expm1 (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (log1p (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (- h0) (+ h1 (/ h1 (hypot h1 h2)))) (log (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (exp (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (expm1 (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log1p (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (+ 1/3 1/3) (+ 1 1) (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (+ 1 1) (+ (log (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (log (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (log (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (exp (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)) (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (* (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (sqrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (sqrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* 1 1) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* 2 1/3) (* 2 1) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt 1)) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) 1) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (sqrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (sqrt (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (* (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1))) (cbrt (fma (- h0) (+ h1 (/ h1 (hypot h1 h2))) (* h1 h1)))) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h1) 3))) h0) (+ (* h0 (/ 1 (sqrt h1))) (* h4 (/ (pow h2 4) (pow (sqrt h1) 5))))) (- (+ h0 (* h3 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ h0 (* h0 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* h5 (* (/ (pow h2 4) (pow (sqrt h1) 6)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 4)) 1/3))) (+ (pow (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 2) 1/3) (+ (* h5 (* (/ (pow h2 2) (pow (sqrt h1) 3)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 4)) 1/3))) (* h6 (* (/ (pow h2 4) (pow (sqrt h1) 7)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 10)) 1/3)))))) (+ (* h7 (* (/ (pow h2 4) (pow (sqrt h1) 6)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 10)) 1/3))) (+ (* h7 (* (/ (pow h2 4) (pow (sqrt h1) 8)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 10)) 1/3))) (+ (* h8 (* (/ (pow h2 4) (pow (sqrt h1) 5)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 4)) 1/3))) (* h5 (* (/ (pow h2 2) (pow (sqrt h1) 4)) (pow (/ 1 (pow (- h0 (* h0 (/ 1 (sqrt h1)))) 4)) 1/3))))))) (- (+ (pow h3 1/3) (* h9 (* (/ 1 (pow h2 2)) (pow h3 1/3)))) (+ (* h10 (* (pow (/ 1 (pow h3 5)) 1/3) (/ 1 (pow h2 2)))) (* h11 (* (pow h3 1/3) (/ 1 h2))))) (- (+ (pow h3 1/3) (+ (* h9 (* (/ 1 (pow h2 2)) (pow h3 1/3))) (* h11 (* (pow h3 1/3) (/ 1 h2))))) (* h10 (* (pow (/ 1 (pow h3 5)) 1/3) (/ 1 (pow h2 2))))) 4.090 * * [simplify]: iteration 0 : 383 enodes (cost 1202 ) 4.098 * * [simplify]: iteration 1 : 1549 enodes (cost 1077 ) 4.128 * * [simplify]: iteration 2 : 5002 enodes (cost 970 ) 4.133 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 2/3 2 (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) 2 (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (exp 1) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4)) (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2/3 2 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (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 0.25 (/ (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 (* 0.08333333333333333 (/ (pow x 4) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3) (+ (fma 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))) (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)) (fma 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 6)) (* 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 8)))))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (fma 0.0625 (/ (pow x 4) (pow (sqrt 1.0) 5)) (* (* (/ x 1.0) (/ x 1.0)) 0.08333333333333333)))) (- (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3)))) (- (/ (* 0.6666666666666666 (pow 0.25 1/3)) x) (pow 0.25 1/3))) (+ (fma 0.6666666666666666 (/ (pow 0.25 1/3) x) (pow 0.25 1/3)) (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3))))) 4.134 * * * [progress]: adding candidates to table 4.468 * [progress]: [Phase 3 of 3] Extracting. 4.468 * * [regime]: Finding splitpoints for: (# # # #) 4.470 * * * [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) 4.470 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 4.501 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 4.520 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 4.552 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 4.571 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 4.595 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 4.615 * * * * [regimes]: Trying to branch on x from (# # # #) 4.649 * * * [regime]: Found split indices: #