11.908 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.035 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.039 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.043 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.070 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.070 * [taylor]: Taking taylor expansion of 0.5 in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.071 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [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 0.074 * [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 0.314 * [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 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in x 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.326 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.331 * [taylor]: Taking taylor expansion of 0.5 in x 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.373 * [taylor]: Taking taylor expansion of 0.5 in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.379 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.420 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.421 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.421 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (* x x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.429 * [taylor]: Taking taylor expansion of 0.5 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (* x x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.614 * [taylor]: Taking taylor expansion of 0.5 in x 0.615 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.620 * [taylor]: Taking taylor expansion of 0.5 in x 0.642 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.654 * [taylor]: Taking taylor expansion of 0.5 in x 0.655 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.660 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.683 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (* x x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.686 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.687 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.687 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (* x x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.726 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.758 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.762 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.762 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.785 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.785 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.785 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.785 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.785 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (* x x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.788 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (* x x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.804 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.807 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.807 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.828 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.828 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.846 * * * [progress]: simplifying candidates 0.848 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.855 * * [simplify]: iteration 0 : 533 enodes (cost 1074 ) 0.864 * * [simplify]: iteration 1 : 2023 enodes (cost 830 ) 0.898 * * [simplify]: iteration 2 : 5002 enodes (cost 827 ) 0.903 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.903 * * * [progress]: adding candidates to table 1.117 * * [progress]: iteration 2 / 4 1.117 * * * [progress]: picking best candidate 1.125 * * * * [pick]: Picked # 1.125 * * * [progress]: localizing error 1.141 * * * [progress]: generating rewritten candidates 1.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.142 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.147 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.150 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.156 * * * [progress]: generating series expansions 1.156 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.157 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.157 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.157 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.157 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.157 * [taylor]: Taking taylor expansion of 0.5 in x 1.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.158 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.158 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (* x x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.161 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.161 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.161 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.161 * [taylor]: Taking taylor expansion of 0.5 in x 1.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.161 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.161 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.161 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (* x x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.254 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.254 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.254 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.254 * [taylor]: Taking taylor expansion of 0.5 in x 1.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.257 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.257 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.258 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.258 * [taylor]: Taking taylor expansion of 0.5 in x 1.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.258 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.258 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.278 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.278 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.278 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.278 * [taylor]: Taking taylor expansion of 0.5 in x 1.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.279 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.279 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.282 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.282 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.282 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.282 * [taylor]: Taking taylor expansion of 0.5 in x 1.282 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.282 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.282 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.282 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.283 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.283 * [taylor]: Taking taylor expansion of -1 in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.283 * [taylor]: Taking taylor expansion of -1 in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.310 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.310 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.310 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.310 * [taylor]: Taking taylor expansion of 0.5 in x 1.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.310 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.310 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.314 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.314 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.314 * [taylor]: Taking taylor expansion of 0.5 in x 1.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.314 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.314 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (* x x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.341 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.341 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.342 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.342 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.342 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.342 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (* x x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.345 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.345 * [taylor]: Taking taylor expansion of 0.5 in x 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.345 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.345 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (* x x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.164 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.164 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.164 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.164 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.164 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.164 * [taylor]: Taking taylor expansion of 0.5 in x 2.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.164 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ 1 x))) 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 2.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.168 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.168 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.168 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.168 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.179 * [taylor]: Taking taylor expansion of 0.5 in x 2.180 * [taylor]: Taking taylor expansion of 1.0 in x 2.185 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.185 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.185 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.185 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.185 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.185 * [taylor]: Taking taylor expansion of 0.5 in x 2.185 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.185 * [taylor]: Taking taylor expansion of 1.0 in x 2.185 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.185 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.186 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.186 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.186 * [taylor]: Taking taylor expansion of 1.0 in x 2.186 * [taylor]: Taking taylor expansion of 1.0 in x 2.186 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.189 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.189 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.189 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.190 * [taylor]: Taking taylor expansion of x in x 2.193 * [taylor]: Taking taylor expansion of 1.0 in x 2.195 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.195 * [taylor]: Taking taylor expansion of 0.5 in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.330 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.330 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.330 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.330 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.330 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.330 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.330 * [taylor]: Taking taylor expansion of 0.5 in x 2.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.330 * [taylor]: Taking taylor expansion of 1.0 in x 2.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.330 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.330 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.330 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.330 * [taylor]: Taking taylor expansion of 1.0 in x 2.330 * [taylor]: Taking taylor expansion of 1.0 in x 2.331 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.334 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.334 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.334 * [taylor]: Taking taylor expansion of -1 in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.335 * [taylor]: Taking taylor expansion of -1 in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of 1.0 in x 2.346 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.347 * [taylor]: Taking taylor expansion of 0.5 in x 2.347 * [taylor]: Taking taylor expansion of 1.0 in x 2.352 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.352 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.352 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.352 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.353 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.353 * [taylor]: Taking taylor expansion of 0.5 in x 2.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.353 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.353 * [taylor]: Taking taylor expansion of 1.0 in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.353 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.353 * [taylor]: Taking taylor expansion of 1.0 in x 2.353 * [taylor]: Taking taylor expansion of 1.0 in x 2.353 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.353 * [taylor]: Taking taylor expansion of -1 in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.353 * [taylor]: Taking taylor expansion of -1 in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.356 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.356 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.356 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.357 * [taylor]: Taking taylor expansion of -1 in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.357 * [taylor]: Taking taylor expansion of -1 in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.362 * [taylor]: Taking taylor expansion of 0.5 in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.496 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.496 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.496 * [taylor]: Taking taylor expansion of 1.0 in x 2.496 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.496 * [taylor]: Taking taylor expansion of 1.0 in x 2.496 * [taylor]: Taking taylor expansion of 1.0 in x 2.496 * [taylor]: Taking taylor expansion of (* x x) in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.499 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.499 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (* x x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.545 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.545 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.550 * [taylor]: Taking taylor expansion of 1.0 in x 2.550 * [taylor]: Taking taylor expansion of 1.0 in x 2.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.571 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.571 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.571 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.571 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.572 * [taylor]: Taking taylor expansion of -1 in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.572 * [taylor]: Taking taylor expansion of -1 in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.575 * [taylor]: Taking taylor expansion of -1 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.575 * [taylor]: Taking taylor expansion of -1 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.604 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.604 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.605 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.605 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.605 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.605 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of (* x x) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.608 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.608 * [taylor]: Taking taylor expansion of 1.0 in x 2.608 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.608 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.608 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.608 * [taylor]: Taking taylor expansion of 1.0 in x 2.608 * [taylor]: Taking taylor expansion of 1.0 in x 2.608 * [taylor]: Taking taylor expansion of (* x x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.646 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.646 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.647 * [taylor]: Taking taylor expansion of 1.0 in x 2.647 * [taylor]: Taking taylor expansion of 1.0 in x 2.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.650 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.678 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.679 * [taylor]: Taking taylor expansion of -1 in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.679 * [taylor]: Taking taylor expansion of -1 in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.682 * [taylor]: Taking taylor expansion of -1 in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.683 * [taylor]: Taking taylor expansion of -1 in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.705 * * * [progress]: simplifying candidates 2.707 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 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1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.717 * * [simplify]: iteration 0 : 764 enodes (cost 1571 ) 2.732 * * [simplify]: iteration 1 : 3539 enodes (cost 1461 ) 2.786 * * [simplify]: iteration 2 : 5001 enodes (cost 1448 ) 2.794 * [simplify]: Simplified to: (expm1 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(sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.795 * * * [progress]: adding candidates to table 3.143 * * [progress]: iteration 3 / 4 3.143 * * * [progress]: picking best candidate 3.162 * * * * [pick]: Picked # 3.162 * * * [progress]: localizing error 3.177 * * * [progress]: generating rewritten candidates 3.178 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.178 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 2 2) 3.196 * * * [progress]: generating series expansions 3.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.197 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.197 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.197 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.197 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.197 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.197 * [taylor]: Taking taylor expansion of 0.5 in x 3.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.197 * [taylor]: Taking taylor expansion of 1.0 in x 3.197 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.197 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.197 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.197 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.197 * [taylor]: Taking taylor expansion of 1.0 in x 3.197 * [taylor]: Taking taylor expansion of 1.0 in x 3.197 * [taylor]: Taking taylor expansion of (* x x) in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.200 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.201 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.201 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.201 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.201 * [taylor]: Taking taylor expansion of 0.5 in x 3.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.201 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.201 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.201 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.201 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [taylor]: Taking taylor expansion of (* x x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.204 * [taylor]: Taking taylor expansion of 1.0 in x 3.204 * [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 3.293 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.296 * [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 x in x 3.297 * [taylor]: Taking taylor expansion of (/ 1 x) 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 3.324 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.325 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.325 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.325 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.325 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.325 * [taylor]: Taking taylor expansion of 0.5 in x 3.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.325 * [taylor]: Taking taylor expansion of 1.0 in x 3.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.325 * [taylor]: Taking taylor expansion of 1.0 in x 3.325 * [taylor]: Taking taylor expansion of 1.0 in x 3.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.325 * [taylor]: Taking taylor expansion of -1 in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.325 * [taylor]: Taking taylor expansion of -1 in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.328 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.329 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.329 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.329 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.329 * [taylor]: Taking taylor expansion of 0.5 in x 3.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.329 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.329 * [taylor]: Taking taylor expansion of -1 in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.329 * [taylor]: Taking taylor expansion of -1 in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.332 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.351 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.351 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.351 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.351 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.351 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.351 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.351 * [taylor]: Taking taylor expansion of 0.5 in x 3.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.351 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.351 * [taylor]: Taking taylor expansion of 1.0 in x 3.351 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.351 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.351 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.351 * [taylor]: Taking taylor expansion of 1.0 in x 3.351 * [taylor]: Taking taylor expansion of 1.0 in x 3.351 * [taylor]: Taking taylor expansion of (* x x) in x 3.351 * [taylor]: Taking taylor expansion of x in x 3.351 * [taylor]: Taking taylor expansion of x in x 3.354 * [taylor]: Taking taylor expansion of 1.0 in x 3.354 * [taylor]: Taking taylor expansion of 1.0 in x 3.354 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.354 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.354 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.354 * [taylor]: Taking taylor expansion of 0.5 in x 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.355 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.355 * [taylor]: Taking taylor expansion of 1.0 in x 3.355 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.355 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.355 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.355 * [taylor]: Taking taylor expansion of 1.0 in x 3.355 * [taylor]: Taking taylor expansion of 1.0 in x 3.355 * [taylor]: Taking taylor expansion of (* x x) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of 1.0 in x 3.363 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.382 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.382 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.382 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.382 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.382 * [taylor]: Taking taylor expansion of 0.5 in x 3.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.382 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.382 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.383 * [taylor]: Taking taylor expansion of 1.0 in x 3.383 * [taylor]: Taking taylor expansion of 1.0 in x 3.383 * [taylor]: Taking taylor expansion of (* x x) in x 3.383 * [taylor]: Taking taylor expansion of x in x 3.383 * [taylor]: Taking taylor expansion of x in x 3.385 * [taylor]: Taking taylor expansion of 1.0 in x 3.385 * [taylor]: Taking taylor expansion of 1.0 in x 3.385 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.385 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.385 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.386 * [taylor]: Taking taylor expansion of 0.5 in x 3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.386 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.386 * [taylor]: Taking taylor expansion of (* x x) in x 3.386 * [taylor]: Taking taylor expansion of x in x 3.386 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of 1.0 in x 3.395 * [taylor]: Taking taylor expansion of 1.0 in x 4.214 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.214 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.214 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.214 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.214 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.214 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.214 * [taylor]: Taking taylor expansion of 0.5 in x 4.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.214 * [taylor]: Taking taylor expansion of 1.0 in x 4.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.214 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.214 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.214 * [taylor]: Taking taylor expansion of 1.0 in x 4.214 * [taylor]: Taking taylor expansion of 1.0 in x 4.214 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.214 * [taylor]: Taking taylor expansion of x in x 4.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.218 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.218 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.218 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.218 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.218 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.221 * [taylor]: Taking taylor expansion of 1.0 in x 4.223 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.223 * [taylor]: Taking taylor expansion of 0.5 in x 4.224 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.229 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.229 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.229 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.229 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.229 * [taylor]: Taking taylor expansion of 0.5 in x 4.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.229 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.229 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.230 * [taylor]: Taking taylor expansion of x in x 4.232 * [taylor]: Taking taylor expansion of 1.0 in x 4.232 * [taylor]: Taking taylor expansion of 1.0 in x 4.232 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.233 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.233 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.233 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.233 * [taylor]: Taking taylor expansion of 1.0 in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.233 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.233 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.233 * [taylor]: Taking taylor expansion of 1.0 in x 4.233 * [taylor]: Taking taylor expansion of 1.0 in x 4.233 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.233 * [taylor]: Taking taylor expansion of x in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.233 * [taylor]: Taking taylor expansion of x in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.238 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.238 * [taylor]: Taking taylor expansion of 0.5 in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.379 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.379 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.379 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.379 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.379 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.379 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.379 * [taylor]: Taking taylor expansion of 0.5 in x 4.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.379 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.379 * [taylor]: Taking taylor expansion of 1.0 in x 4.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.379 * [taylor]: Taking taylor expansion of 1.0 in x 4.379 * [taylor]: Taking taylor expansion of 1.0 in x 4.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.379 * [taylor]: Taking taylor expansion of -1 in x 4.379 * [taylor]: Taking taylor expansion of x in x 4.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.380 * [taylor]: Taking taylor expansion of -1 in x 4.380 * [taylor]: Taking taylor expansion of x in x 4.383 * [taylor]: Taking taylor expansion of 1.0 in x 4.383 * [taylor]: Taking taylor expansion of 1.0 in x 4.383 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.383 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.383 * [taylor]: Taking taylor expansion of 1.0 in x 4.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.383 * [taylor]: Taking taylor expansion of 1.0 in x 4.383 * [taylor]: Taking taylor expansion of 1.0 in x 4.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.383 * [taylor]: Taking taylor expansion of -1 in x 4.383 * [taylor]: Taking taylor expansion of x in x 4.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.383 * [taylor]: Taking taylor expansion of -1 in x 4.383 * [taylor]: Taking taylor expansion of x in x 4.386 * [taylor]: Taking taylor expansion of 1.0 in x 4.388 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.388 * [taylor]: Taking taylor expansion of 0.5 in x 4.389 * [taylor]: Taking taylor expansion of 1.0 in x 4.394 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.394 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.394 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.394 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.394 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.394 * [taylor]: Taking taylor expansion of 0.5 in x 4.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.394 * [taylor]: Taking taylor expansion of 1.0 in x 4.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.395 * [taylor]: Taking taylor expansion of 1.0 in x 4.395 * [taylor]: Taking taylor expansion of 1.0 in x 4.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.395 * [taylor]: Taking taylor expansion of -1 in x 4.395 * [taylor]: Taking taylor expansion of x in x 4.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.395 * [taylor]: Taking taylor expansion of -1 in x 4.395 * [taylor]: Taking taylor expansion of x in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.398 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.398 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [taylor]: Taking taylor expansion of 1.0 in x 4.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.398 * [taylor]: Taking taylor expansion of -1 in x 4.398 * [taylor]: Taking taylor expansion of x in x 4.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.399 * [taylor]: Taking taylor expansion of -1 in x 4.399 * [taylor]: Taking taylor expansion of x in x 4.402 * [taylor]: Taking taylor expansion of 1.0 in x 4.403 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.403 * [taylor]: Taking taylor expansion of 0.5 in x 4.404 * [taylor]: Taking taylor expansion of 1.0 in x 4.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.545 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 4.545 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.545 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.545 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.545 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.545 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.545 * [taylor]: Taking taylor expansion of 0.5 in x 4.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.545 * [taylor]: Taking taylor expansion of 1.0 in x 4.545 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.545 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.545 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.545 * [taylor]: Taking taylor expansion of 1.0 in x 4.545 * [taylor]: Taking taylor expansion of 1.0 in x 4.545 * [taylor]: Taking taylor expansion of (* x x) in x 4.545 * [taylor]: Taking taylor expansion of x in x 4.545 * [taylor]: Taking taylor expansion of x in x 4.548 * [taylor]: Taking taylor expansion of 1.0 in x 4.548 * [taylor]: Taking taylor expansion of 1.0 in x 4.548 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.548 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.548 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.548 * [taylor]: Taking taylor expansion of 0.5 in x 4.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.549 * [taylor]: Taking taylor expansion of 1.0 in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.549 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.549 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.549 * [taylor]: Taking taylor expansion of 1.0 in x 4.549 * [taylor]: Taking taylor expansion of 1.0 in x 4.549 * [taylor]: Taking taylor expansion of (* x x) in x 4.550 * [taylor]: Taking taylor expansion of x in x 4.550 * [taylor]: Taking taylor expansion of x in x 4.552 * [taylor]: Taking taylor expansion of 1.0 in x 4.558 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.577 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.577 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.577 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.577 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.577 * [taylor]: Taking taylor expansion of 0.5 in x 4.577 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.577 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.577 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.577 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.577 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.577 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.577 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [taylor]: Taking taylor expansion of 1.0 in x 4.577 * [taylor]: Taking taylor expansion of (* x x) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.580 * [taylor]: Taking taylor expansion of 1.0 in x 4.580 * [taylor]: Taking taylor expansion of 1.0 in x 4.580 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.580 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.580 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.580 * [taylor]: Taking taylor expansion of 0.5 in x 4.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.581 * [taylor]: Taking taylor expansion of 1.0 in x 4.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.581 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.581 * [taylor]: Taking taylor expansion of 1.0 in x 4.581 * [taylor]: Taking taylor expansion of 1.0 in x 4.581 * [taylor]: Taking taylor expansion of (* x x) in x 4.581 * [taylor]: Taking taylor expansion of x in x 4.581 * [taylor]: Taking taylor expansion of x in x 4.584 * [taylor]: Taking taylor expansion of 1.0 in x 4.590 * [taylor]: Taking taylor expansion of 1.0 in x 5.409 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 5.409 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.409 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.409 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.409 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.409 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.409 * [taylor]: Taking taylor expansion of 0.5 in x 5.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.409 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.409 * [taylor]: Taking taylor expansion of 1.0 in x 5.410 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.410 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.410 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.410 * [taylor]: Taking taylor expansion of 1.0 in x 5.410 * [taylor]: Taking taylor expansion of 1.0 in x 5.410 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.410 * [taylor]: Taking taylor expansion of x in x 5.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.410 * [taylor]: Taking taylor expansion of x in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.413 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.414 * [taylor]: Taking taylor expansion of x in x 5.416 * [taylor]: Taking taylor expansion of 1.0 in x 5.418 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.418 * [taylor]: Taking taylor expansion of 0.5 in x 5.419 * [taylor]: Taking taylor expansion of 1.0 in x 5.424 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.424 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.424 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.424 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.424 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.424 * [taylor]: Taking taylor expansion of 0.5 in x 5.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.424 * [taylor]: Taking taylor expansion of 1.0 in x 5.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.424 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.424 * [taylor]: Taking taylor expansion of 1.0 in x 5.424 * [taylor]: Taking taylor expansion of 1.0 in x 5.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.424 * [taylor]: Taking taylor expansion of x in x 5.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.428 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.428 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.428 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.428 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.428 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.428 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.428 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.428 * [taylor]: Taking taylor expansion of x in x 5.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.428 * [taylor]: Taking taylor expansion of x in x 5.431 * [taylor]: Taking taylor expansion of 1.0 in x 5.433 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.433 * [taylor]: Taking taylor expansion of 0.5 in x 5.434 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 5.575 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.575 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.575 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.575 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.575 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.575 * [taylor]: Taking taylor expansion of 0.5 in x 5.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.575 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.575 * [taylor]: Taking taylor expansion of -1 in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.576 * [taylor]: Taking taylor expansion of -1 in x 5.576 * [taylor]: Taking taylor expansion of x in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.579 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.579 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.579 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.579 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.579 * [taylor]: Taking taylor expansion of -1 in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.579 * [taylor]: Taking taylor expansion of -1 in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.582 * [taylor]: Taking taylor expansion of 1.0 in x 5.584 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.585 * [taylor]: Taking taylor expansion of 0.5 in x 5.585 * [taylor]: Taking taylor expansion of 1.0 in x 5.590 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.590 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.590 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.591 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.591 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.591 * [taylor]: Taking taylor expansion of 0.5 in x 5.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.591 * [taylor]: Taking taylor expansion of 1.0 in x 5.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.591 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.591 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.591 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.591 * [taylor]: Taking taylor expansion of 1.0 in x 5.591 * [taylor]: Taking taylor expansion of 1.0 in x 5.591 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.591 * [taylor]: Taking taylor expansion of -1 in x 5.591 * [taylor]: Taking taylor expansion of x in x 5.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.591 * [taylor]: Taking taylor expansion of -1 in x 5.591 * [taylor]: Taking taylor expansion of x in x 5.594 * [taylor]: Taking taylor expansion of 1.0 in x 5.594 * [taylor]: Taking taylor expansion of 1.0 in x 5.594 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.594 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.594 * [taylor]: Taking taylor expansion of 1.0 in x 5.594 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.594 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.594 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.594 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.594 * [taylor]: Taking taylor expansion of 1.0 in x 5.595 * [taylor]: Taking taylor expansion of 1.0 in x 5.595 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.595 * [taylor]: Taking taylor expansion of -1 in x 5.595 * [taylor]: Taking taylor expansion of x in x 5.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.595 * [taylor]: Taking taylor expansion of -1 in x 5.595 * [taylor]: Taking taylor expansion of x in x 5.598 * [taylor]: Taking taylor expansion of 1.0 in x 5.600 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.600 * [taylor]: Taking taylor expansion of 0.5 in x 5.600 * [taylor]: Taking taylor expansion of 1.0 in x 5.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 2 2) 5.739 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.739 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.739 * [taylor]: Taking taylor expansion of 1.0 in x 5.739 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.739 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.739 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.739 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.739 * [taylor]: Taking taylor expansion of 1.0 in x 5.739 * [taylor]: Taking taylor expansion of 1.0 in x 5.739 * [taylor]: Taking taylor expansion of (* x x) in x 5.739 * [taylor]: Taking taylor expansion of x in x 5.739 * [taylor]: Taking taylor expansion of x in x 5.742 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.742 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of (* x x) in x 5.742 * [taylor]: Taking taylor expansion of x in x 5.742 * [taylor]: Taking taylor expansion of x in x 5.781 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.781 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.781 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.781 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of 1.0 in x 5.781 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.781 * [taylor]: Taking taylor expansion of x in x 5.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.781 * [taylor]: Taking taylor expansion of x in x 5.784 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.784 * [taylor]: Taking taylor expansion of 1.0 in x 5.784 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.784 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.784 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.784 * [taylor]: Taking taylor expansion of 1.0 in x 5.784 * [taylor]: Taking taylor expansion of 1.0 in x 5.784 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.784 * [taylor]: Taking taylor expansion of x in x 5.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.785 * [taylor]: Taking taylor expansion of x in x 5.813 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.813 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.813 * [taylor]: Taking taylor expansion of 1.0 in x 5.813 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.813 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.813 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.813 * [taylor]: Taking taylor expansion of 1.0 in x 5.813 * [taylor]: Taking taylor expansion of 1.0 in x 5.813 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.813 * [taylor]: Taking taylor expansion of -1 in x 5.813 * [taylor]: Taking taylor expansion of x in x 5.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.814 * [taylor]: Taking taylor expansion of -1 in x 5.814 * [taylor]: Taking taylor expansion of x in x 5.817 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.817 * [taylor]: Taking taylor expansion of -1 in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.817 * [taylor]: Taking taylor expansion of -1 in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.839 * * * [progress]: simplifying candidates 5.842 * [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 (exp (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log1p (exp (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp 1) (exp (* (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (sqrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp 1) (exp (log (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (log (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (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)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (log (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (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)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (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)))) 1))) (exp (log (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (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)))) 1))) (exp (log (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1))) (exp (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (log (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 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(sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 5.856 * * [simplify]: iteration 0 : 883 enodes (cost 2503 ) 5.872 * * [simplify]: iteration 1 : 3883 enodes (cost 2358 ) 5.927 * * [simplify]: iteration 2 : 5001 enodes (cost 2335 ) 5.937 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) E (exp (* (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (exp (sqrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) E (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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(fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 5.938 * * * [progress]: adding candidates to table 6.360 * * [progress]: iteration 4 / 4 6.360 * * * [progress]: picking best candidate 6.386 * * * * [pick]: Picked # 6.386 * * * [progress]: localizing error 6.403 * * * [progress]: generating rewritten candidates 6.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 2 2) 6.422 * * * [progress]: generating series expansions 6.422 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.423 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.423 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.423 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.423 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.423 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.423 * [taylor]: Taking taylor expansion of 0.5 in x 6.423 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.423 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.423 * [taylor]: Taking taylor expansion of 1.0 in x 6.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.423 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of (* x x) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.427 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.427 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.427 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.427 * [taylor]: Taking taylor expansion of 0.5 in x 6.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.427 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.427 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.427 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.427 * [taylor]: Taking taylor expansion of (* x x) in x 6.427 * [taylor]: Taking taylor expansion of x in x 6.427 * [taylor]: Taking taylor expansion of x in x 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.431 * [taylor]: Taking taylor expansion of 1.0 in x 6.521 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.521 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.522 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.522 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.522 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.522 * [taylor]: Taking taylor expansion of 0.5 in x 6.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.525 * [taylor]: Taking taylor expansion of 1.0 in x 6.525 * [taylor]: Taking taylor expansion of 1.0 in x 6.526 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.526 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.526 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.526 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.526 * [taylor]: Taking taylor expansion of 0.5 in x 6.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.526 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.526 * [taylor]: Taking taylor expansion of 1.0 in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.526 * [taylor]: Taking taylor expansion of 1.0 in x 6.526 * [taylor]: Taking taylor expansion of 1.0 in x 6.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.526 * [taylor]: Taking taylor expansion of x in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.526 * [taylor]: Taking taylor expansion of x in x 6.530 * [taylor]: Taking taylor expansion of 1.0 in x 6.530 * [taylor]: Taking taylor expansion of 1.0 in x 6.555 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.556 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.556 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.556 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.556 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.556 * [taylor]: Taking taylor expansion of 0.5 in x 6.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.556 * [taylor]: Taking taylor expansion of 1.0 in x 6.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.556 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.556 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.556 * [taylor]: Taking taylor expansion of 1.0 in x 6.556 * [taylor]: Taking taylor expansion of 1.0 in x 6.556 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.556 * [taylor]: Taking taylor expansion of -1 in x 6.556 * [taylor]: Taking taylor expansion of x in x 6.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.556 * [taylor]: Taking taylor expansion of -1 in x 6.556 * [taylor]: Taking taylor expansion of x in x 6.559 * [taylor]: Taking taylor expansion of 1.0 in x 6.559 * [taylor]: Taking taylor expansion of 1.0 in x 6.559 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.560 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.560 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.560 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.560 * [taylor]: Taking taylor expansion of 0.5 in x 6.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.560 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.560 * [taylor]: Taking taylor expansion of 1.0 in x 6.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.560 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.560 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.560 * [taylor]: Taking taylor expansion of 1.0 in x 6.560 * [taylor]: Taking taylor expansion of 1.0 in x 6.560 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.560 * [taylor]: Taking taylor expansion of -1 in x 6.560 * [taylor]: Taking taylor expansion of x in x 6.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.560 * [taylor]: Taking taylor expansion of -1 in x 6.560 * [taylor]: Taking taylor expansion of x in x 6.563 * [taylor]: Taking taylor expansion of 1.0 in x 6.563 * [taylor]: Taking taylor expansion of 1.0 in x 6.582 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.582 * [approximate]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 6.582 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 6.582 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (log E))) in x 6.582 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (log E)) in x 6.583 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.583 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.583 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.583 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.583 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.583 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.583 * [taylor]: Taking taylor expansion of 0.5 in x 6.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.583 * [taylor]: Taking taylor expansion of 1.0 in x 6.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.583 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.583 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.583 * [taylor]: Taking taylor expansion of 1.0 in x 6.583 * [taylor]: Taking taylor expansion of 1.0 in x 6.583 * [taylor]: Taking taylor expansion of (* x x) in x 6.583 * [taylor]: Taking taylor expansion of x in x 6.583 * [taylor]: Taking taylor expansion of x in x 6.586 * [taylor]: Taking taylor expansion of 1.0 in x 6.586 * [taylor]: Taking taylor expansion of 1.0 in x 6.586 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.586 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.586 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.586 * [taylor]: Taking taylor expansion of 0.5 in x 6.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.587 * [taylor]: Taking taylor expansion of 1.0 in x 6.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.587 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.587 * [taylor]: Taking taylor expansion of 1.0 in x 6.587 * [taylor]: Taking taylor expansion of 1.0 in x 6.587 * [taylor]: Taking taylor expansion of (* x x) in x 6.587 * [taylor]: Taking taylor expansion of x in x 6.587 * [taylor]: Taking taylor expansion of x in x 6.590 * [taylor]: Taking taylor expansion of 1.0 in x 6.596 * [taylor]: Taking taylor expansion of 1.0 in x 6.623 * [taylor]: Taking taylor expansion of (log E) in x 6.623 * [taylor]: Taking taylor expansion of E in x 6.647 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 6.647 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (log E))) in x 6.647 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (log E)) in x 6.647 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.647 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.647 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.647 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.647 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.647 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.647 * [taylor]: Taking taylor expansion of 0.5 in x 6.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.647 * [taylor]: Taking taylor expansion of 1.0 in x 6.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.647 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.647 * [taylor]: Taking taylor expansion of 1.0 in x 6.647 * [taylor]: Taking taylor expansion of 1.0 in x 6.647 * [taylor]: Taking taylor expansion of (* x x) in x 6.647 * [taylor]: Taking taylor expansion of x in x 6.647 * [taylor]: Taking taylor expansion of x in x 6.650 * [taylor]: Taking taylor expansion of 1.0 in x 6.650 * [taylor]: Taking taylor expansion of 1.0 in x 6.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.650 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.650 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.650 * [taylor]: Taking taylor expansion of 0.5 in x 6.651 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.651 * [taylor]: Taking taylor expansion of 1.0 in x 6.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.651 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.651 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.651 * [taylor]: Taking taylor expansion of 1.0 in x 6.651 * [taylor]: Taking taylor expansion of 1.0 in x 6.651 * [taylor]: Taking taylor expansion of (* x x) in x 6.651 * [taylor]: Taking taylor expansion of x in x 6.651 * [taylor]: Taking taylor expansion of x in x 6.654 * [taylor]: Taking taylor expansion of 1.0 in x 6.660 * [taylor]: Taking taylor expansion of 1.0 in x 6.685 * [taylor]: Taking taylor expansion of (log E) in x 6.685 * [taylor]: Taking taylor expansion of E in x 17.378 * [approximate]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 17.378 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 17.378 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E))) in x 17.378 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E)) in x 17.378 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 17.378 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 17.378 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 17.378 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 17.378 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 17.378 * [taylor]: Taking taylor expansion of (- 0.5) in x 17.378 * [taylor]: Taking taylor expansion of 0.5 in x 17.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 17.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 17.378 * [taylor]: Taking taylor expansion of 1.0 in x 17.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 17.378 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 17.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 17.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 17.378 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 17.378 * [taylor]: Taking taylor expansion of 1.0 in x 17.378 * [taylor]: Taking taylor expansion of 1.0 in x 17.378 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 17.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.378 * [taylor]: Taking taylor expansion of x in x 17.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.379 * [taylor]: Taking taylor expansion of x in x 17.382 * [taylor]: Taking taylor expansion of 1.0 in x 17.382 * [taylor]: Taking taylor expansion of 1.0 in x 17.382 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 17.382 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 17.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 17.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 17.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 17.382 * [taylor]: Taking taylor expansion of 1.0 in x 17.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 17.382 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 17.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 17.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 17.382 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 17.382 * [taylor]: Taking taylor expansion of 1.0 in x 17.382 * [taylor]: Taking taylor expansion of 1.0 in x 17.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 17.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.382 * [taylor]: Taking taylor expansion of x in x 17.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.383 * [taylor]: Taking taylor expansion of x in x 17.385 * [taylor]: Taking taylor expansion of 1.0 in x 17.394 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 17.394 * [taylor]: Taking taylor expansion of 0.5 in x 17.395 * [taylor]: Taking taylor expansion of 1.0 in x 17.402 * [taylor]: Taking taylor expansion of (log E) in x 17.402 * [taylor]: Taking taylor expansion of E in x 17.408 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 17.408 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E))) in x 17.408 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E)) in x 17.408 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 17.408 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 17.409 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 17.409 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 17.409 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 17.409 * [taylor]: Taking taylor expansion of (- 0.5) in x 17.409 * [taylor]: Taking taylor expansion of 0.5 in x 17.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 17.409 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 17.409 * [taylor]: Taking taylor expansion of 1.0 in x 17.409 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 17.409 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 17.409 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 17.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 17.409 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 17.409 * [taylor]: Taking taylor expansion of 1.0 in x 17.409 * [taylor]: Taking taylor expansion of 1.0 in x 17.409 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 17.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.409 * [taylor]: Taking taylor expansion of x in x 17.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.409 * [taylor]: Taking taylor expansion of x in x 17.412 * [taylor]: Taking taylor expansion of 1.0 in x 17.412 * [taylor]: Taking taylor expansion of 1.0 in x 17.412 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 17.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 17.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 17.412 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 17.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 17.412 * [taylor]: Taking taylor expansion of 1.0 in x 17.412 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 17.412 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 17.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 17.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 17.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 17.413 * [taylor]: Taking taylor expansion of 1.0 in x 17.413 * [taylor]: Taking taylor expansion of 1.0 in x 17.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 17.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.413 * [taylor]: Taking taylor expansion of x in x 17.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 17.413 * [taylor]: Taking taylor expansion of x in x 17.416 * [taylor]: Taking taylor expansion of 1.0 in x 17.418 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 17.418 * [taylor]: Taking taylor expansion of 0.5 in x 17.418 * [taylor]: Taking taylor expansion of 1.0 in x 17.426 * [taylor]: Taking taylor expansion of (log E) in x 17.426 * [taylor]: Taking taylor expansion of E in x 19.089 * [approximate]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 19.089 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 19.089 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E))) in x 19.089 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E)) in x 19.089 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 19.089 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 19.089 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 19.089 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 19.089 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 19.089 * [taylor]: Taking taylor expansion of (- 0.5) in x 19.089 * [taylor]: Taking taylor expansion of 0.5 in x 19.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 19.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 19.089 * [taylor]: Taking taylor expansion of 1.0 in x 19.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 19.089 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 19.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 19.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 19.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 19.089 * [taylor]: Taking taylor expansion of 1.0 in x 19.089 * [taylor]: Taking taylor expansion of 1.0 in x 19.089 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.089 * [taylor]: Taking taylor expansion of -1 in x 19.089 * [taylor]: Taking taylor expansion of x in x 19.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.090 * [taylor]: Taking taylor expansion of -1 in x 19.090 * [taylor]: Taking taylor expansion of x in x 19.093 * [taylor]: Taking taylor expansion of 1.0 in x 19.093 * [taylor]: Taking taylor expansion of 1.0 in x 19.093 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 19.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 19.093 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 19.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 19.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 19.093 * [taylor]: Taking taylor expansion of 1.0 in x 19.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 19.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 19.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 19.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 19.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 19.093 * [taylor]: Taking taylor expansion of 1.0 in x 19.093 * [taylor]: Taking taylor expansion of 1.0 in x 19.093 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.093 * [taylor]: Taking taylor expansion of -1 in x 19.093 * [taylor]: Taking taylor expansion of x in x 19.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.094 * [taylor]: Taking taylor expansion of -1 in x 19.094 * [taylor]: Taking taylor expansion of x in x 19.097 * [taylor]: Taking taylor expansion of 1.0 in x 19.099 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 19.099 * [taylor]: Taking taylor expansion of 0.5 in x 19.099 * [taylor]: Taking taylor expansion of 1.0 in x 19.107 * [taylor]: Taking taylor expansion of (log E) in x 19.107 * [taylor]: Taking taylor expansion of E in x 19.113 * [taylor]: Taking taylor expansion of (pow E (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 19.113 * [taylor]: Taking taylor expansion of (exp (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E))) in x 19.113 * [taylor]: Taking taylor expansion of (* (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (log E)) in x 19.113 * [taylor]: Taking taylor expansion of (log (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 19.113 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 19.113 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 19.114 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 19.114 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 19.114 * [taylor]: Taking taylor expansion of (- 0.5) in x 19.114 * [taylor]: Taking taylor expansion of 0.5 in x 19.114 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 19.114 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 19.114 * [taylor]: Taking taylor expansion of 1.0 in x 19.114 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 19.114 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 19.114 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 19.114 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 19.114 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 19.114 * [taylor]: Taking taylor expansion of 1.0 in x 19.114 * [taylor]: Taking taylor expansion of 1.0 in x 19.114 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.114 * [taylor]: Taking taylor expansion of -1 in x 19.114 * [taylor]: Taking taylor expansion of x in x 19.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.114 * [taylor]: Taking taylor expansion of -1 in x 19.114 * [taylor]: Taking taylor expansion of x in x 19.117 * [taylor]: Taking taylor expansion of 1.0 in x 19.117 * [taylor]: Taking taylor expansion of 1.0 in x 19.117 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 19.117 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 19.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 19.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 19.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 19.118 * [taylor]: Taking taylor expansion of 1.0 in x 19.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 19.118 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 19.118 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 19.118 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 19.118 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 19.118 * [taylor]: Taking taylor expansion of 1.0 in x 19.118 * [taylor]: Taking taylor expansion of 1.0 in x 19.118 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.118 * [taylor]: Taking taylor expansion of -1 in x 19.118 * [taylor]: Taking taylor expansion of x in x 19.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.118 * [taylor]: Taking taylor expansion of -1 in x 19.118 * [taylor]: Taking taylor expansion of x in x 19.121 * [taylor]: Taking taylor expansion of 1.0 in x 19.123 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 19.123 * [taylor]: Taking taylor expansion of 0.5 in x 19.124 * [taylor]: Taking taylor expansion of 1.0 in x 19.131 * [taylor]: Taking taylor expansion of (log E) in x 19.131 * [taylor]: Taking taylor expansion of E in x 20.798 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 20.799 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 20.799 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 20.799 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 20.799 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 20.799 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 20.799 * [taylor]: Taking taylor expansion of (- 0.5) in x 20.799 * [taylor]: Taking taylor expansion of 0.5 in x 20.799 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 20.799 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 20.799 * [taylor]: Taking taylor expansion of 1.0 in x 20.799 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 20.799 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 20.799 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 20.799 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 20.799 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 20.799 * [taylor]: Taking taylor expansion of 1.0 in x 20.799 * [taylor]: Taking taylor expansion of 1.0 in x 20.799 * [taylor]: Taking taylor expansion of (* x x) in x 20.799 * [taylor]: Taking taylor expansion of x in x 20.799 * [taylor]: Taking taylor expansion of x in x 20.802 * [taylor]: Taking taylor expansion of 1.0 in x 20.802 * [taylor]: Taking taylor expansion of 1.0 in x 20.802 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 20.802 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 20.802 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 20.802 * [taylor]: Taking taylor expansion of 0.5 in x 20.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 20.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 20.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 20.803 * [taylor]: Taking taylor expansion of 1.0 in x 20.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 20.803 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 20.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 20.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 20.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 20.803 * [taylor]: Taking taylor expansion of 1.0 in x 20.803 * [taylor]: Taking taylor expansion of 1.0 in x 20.803 * [taylor]: Taking taylor expansion of (* x x) in x 20.803 * [taylor]: Taking taylor expansion of x in x 20.803 * [taylor]: Taking taylor expansion of x in x 20.806 * [taylor]: Taking taylor expansion of 1.0 in x 20.812 * [taylor]: Taking taylor expansion of 1.0 in x 20.831 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 20.831 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 20.831 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 20.831 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 20.831 * [taylor]: Taking taylor expansion of (- 0.5) in x 20.831 * [taylor]: Taking taylor expansion of 0.5 in x 20.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 20.831 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 20.831 * [taylor]: Taking taylor expansion of 1.0 in x 20.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 20.831 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 20.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 20.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 20.832 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 20.832 * [taylor]: Taking taylor expansion of 1.0 in x 20.832 * [taylor]: Taking taylor expansion of 1.0 in x 20.832 * [taylor]: Taking taylor expansion of (* x x) in x 20.832 * [taylor]: Taking taylor expansion of x in x 20.832 * [taylor]: Taking taylor expansion of x in x 20.834 * [taylor]: Taking taylor expansion of 1.0 in x 20.834 * [taylor]: Taking taylor expansion of 1.0 in x 20.834 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 20.834 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 20.835 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 20.835 * [taylor]: Taking taylor expansion of 0.5 in x 20.835 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 20.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 20.835 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 20.835 * [taylor]: Taking taylor expansion of 1.0 in x 20.835 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 20.835 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 20.835 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 20.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 20.835 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 20.835 * [taylor]: Taking taylor expansion of 1.0 in x 20.835 * [taylor]: Taking taylor expansion of 1.0 in x 20.835 * [taylor]: Taking taylor expansion of (* x x) in x 20.836 * [taylor]: Taking taylor expansion of x in x 20.836 * [taylor]: Taking taylor expansion of x in x 20.844 * [taylor]: Taking taylor expansion of 1.0 in x 20.850 * [taylor]: Taking taylor expansion of 1.0 in x 21.669 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 21.670 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 21.670 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 21.670 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 21.670 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 21.670 * [taylor]: Taking taylor expansion of (- 0.5) in x 21.670 * [taylor]: Taking taylor expansion of 0.5 in x 21.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 21.670 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 21.670 * [taylor]: Taking taylor expansion of 1.0 in x 21.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 21.670 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 21.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 21.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 21.670 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.670 * [taylor]: Taking taylor expansion of 1.0 in x 21.670 * [taylor]: Taking taylor expansion of 1.0 in x 21.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.670 * [taylor]: Taking taylor expansion of x in x 21.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.670 * [taylor]: Taking taylor expansion of x in x 21.673 * [taylor]: Taking taylor expansion of 1.0 in x 21.674 * [taylor]: Taking taylor expansion of 1.0 in x 21.674 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 21.674 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 21.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 21.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 21.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 21.674 * [taylor]: Taking taylor expansion of 1.0 in x 21.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 21.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 21.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 21.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 21.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.674 * [taylor]: Taking taylor expansion of 1.0 in x 21.674 * [taylor]: Taking taylor expansion of 1.0 in x 21.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.674 * [taylor]: Taking taylor expansion of x in x 21.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.674 * [taylor]: Taking taylor expansion of x in x 21.677 * [taylor]: Taking taylor expansion of 1.0 in x 21.679 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 21.679 * [taylor]: Taking taylor expansion of 0.5 in x 21.680 * [taylor]: Taking taylor expansion of 1.0 in x 21.685 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 21.685 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 21.685 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 21.685 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 21.685 * [taylor]: Taking taylor expansion of (- 0.5) in x 21.685 * [taylor]: Taking taylor expansion of 0.5 in x 21.685 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 21.685 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 21.685 * [taylor]: Taking taylor expansion of 1.0 in x 21.685 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 21.685 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 21.685 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 21.685 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 21.685 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.685 * [taylor]: Taking taylor expansion of 1.0 in x 21.685 * [taylor]: Taking taylor expansion of 1.0 in x 21.685 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.685 * [taylor]: Taking taylor expansion of x in x 21.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.686 * [taylor]: Taking taylor expansion of x in x 21.689 * [taylor]: Taking taylor expansion of 1.0 in x 21.689 * [taylor]: Taking taylor expansion of 1.0 in x 21.689 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 21.689 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 21.689 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 21.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 21.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 21.689 * [taylor]: Taking taylor expansion of 1.0 in x 21.689 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 21.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 21.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 21.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 21.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.689 * [taylor]: Taking taylor expansion of 1.0 in x 21.689 * [taylor]: Taking taylor expansion of 1.0 in x 21.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.689 * [taylor]: Taking taylor expansion of x in x 21.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.689 * [taylor]: Taking taylor expansion of x in x 21.692 * [taylor]: Taking taylor expansion of 1.0 in x 21.694 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 21.694 * [taylor]: Taking taylor expansion of 0.5 in x 21.695 * [taylor]: Taking taylor expansion of 1.0 in x 21.836 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 21.836 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 21.836 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 21.836 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 21.836 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 21.836 * [taylor]: Taking taylor expansion of (- 0.5) in x 21.836 * [taylor]: Taking taylor expansion of 0.5 in x 21.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 21.836 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 21.836 * [taylor]: Taking taylor expansion of 1.0 in x 21.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 21.836 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 21.836 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 21.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 21.836 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.836 * [taylor]: Taking taylor expansion of 1.0 in x 21.836 * [taylor]: Taking taylor expansion of 1.0 in x 21.836 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.836 * [taylor]: Taking taylor expansion of -1 in x 21.836 * [taylor]: Taking taylor expansion of x in x 21.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.837 * [taylor]: Taking taylor expansion of -1 in x 21.837 * [taylor]: Taking taylor expansion of x in x 21.840 * [taylor]: Taking taylor expansion of 1.0 in x 21.840 * [taylor]: Taking taylor expansion of 1.0 in x 21.840 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 21.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 21.840 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 21.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 21.840 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 21.840 * [taylor]: Taking taylor expansion of 1.0 in x 21.840 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 21.840 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 21.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 21.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 21.840 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.840 * [taylor]: Taking taylor expansion of 1.0 in x 21.840 * [taylor]: Taking taylor expansion of 1.0 in x 21.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.840 * [taylor]: Taking taylor expansion of -1 in x 21.840 * [taylor]: Taking taylor expansion of x in x 21.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.841 * [taylor]: Taking taylor expansion of -1 in x 21.841 * [taylor]: Taking taylor expansion of x in x 21.844 * [taylor]: Taking taylor expansion of 1.0 in x 21.846 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 21.846 * [taylor]: Taking taylor expansion of 0.5 in x 21.846 * [taylor]: Taking taylor expansion of 1.0 in x 21.851 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 21.851 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 21.852 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 21.852 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 21.852 * [taylor]: Taking taylor expansion of (- 0.5) in x 21.852 * [taylor]: Taking taylor expansion of 0.5 in x 21.852 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 21.852 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 21.852 * [taylor]: Taking taylor expansion of 1.0 in x 21.852 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 21.852 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 21.852 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 21.852 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 21.852 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.852 * [taylor]: Taking taylor expansion of 1.0 in x 21.852 * [taylor]: Taking taylor expansion of 1.0 in x 21.852 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.852 * [taylor]: Taking taylor expansion of -1 in x 21.852 * [taylor]: Taking taylor expansion of x in x 21.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.852 * [taylor]: Taking taylor expansion of -1 in x 21.852 * [taylor]: Taking taylor expansion of x in x 21.855 * [taylor]: Taking taylor expansion of 1.0 in x 21.855 * [taylor]: Taking taylor expansion of 1.0 in x 21.855 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 21.855 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 21.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 21.855 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 21.855 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 21.855 * [taylor]: Taking taylor expansion of 1.0 in x 21.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 21.856 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 21.856 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 21.856 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 21.856 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 21.856 * [taylor]: Taking taylor expansion of 1.0 in x 21.856 * [taylor]: Taking taylor expansion of 1.0 in x 21.856 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.856 * [taylor]: Taking taylor expansion of -1 in x 21.856 * [taylor]: Taking taylor expansion of x in x 21.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.856 * [taylor]: Taking taylor expansion of -1 in x 21.856 * [taylor]: Taking taylor expansion of x in x 21.859 * [taylor]: Taking taylor expansion of 1.0 in x 21.861 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 21.861 * [taylor]: Taking taylor expansion of 0.5 in x 21.862 * [taylor]: Taking taylor expansion of 1.0 in x 22.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 2 2) 22.002 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 22.002 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 22.002 * [taylor]: Taking taylor expansion of 1.0 in x 22.002 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 22.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 22.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 22.002 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.002 * [taylor]: Taking taylor expansion of 1.0 in x 22.002 * [taylor]: Taking taylor expansion of 1.0 in x 22.002 * [taylor]: Taking taylor expansion of (* x x) in x 22.002 * [taylor]: Taking taylor expansion of x in x 22.002 * [taylor]: Taking taylor expansion of x in x 22.005 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 22.005 * [taylor]: Taking taylor expansion of 1.0 in x 22.005 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 22.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 22.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 22.005 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.005 * [taylor]: Taking taylor expansion of 1.0 in x 22.005 * [taylor]: Taking taylor expansion of 1.0 in x 22.005 * [taylor]: Taking taylor expansion of (* x x) in x 22.005 * [taylor]: Taking taylor expansion of x in x 22.005 * [taylor]: Taking taylor expansion of x in x 22.051 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 22.051 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 22.051 * [taylor]: Taking taylor expansion of 1.0 in x 22.051 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 22.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 22.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 22.051 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.051 * [taylor]: Taking taylor expansion of 1.0 in x 22.051 * [taylor]: Taking taylor expansion of 1.0 in x 22.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 22.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.051 * [taylor]: Taking taylor expansion of x in x 22.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.051 * [taylor]: Taking taylor expansion of x in x 22.054 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 22.054 * [taylor]: Taking taylor expansion of 1.0 in x 22.054 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 22.054 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 22.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 22.055 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.055 * [taylor]: Taking taylor expansion of 1.0 in x 22.055 * [taylor]: Taking taylor expansion of 1.0 in x 22.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 22.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.055 * [taylor]: Taking taylor expansion of x in x 22.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 22.055 * [taylor]: Taking taylor expansion of x in x 22.077 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 22.077 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 22.077 * [taylor]: Taking taylor expansion of 1.0 in x 22.077 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 22.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 22.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 22.077 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.077 * [taylor]: Taking taylor expansion of 1.0 in x 22.077 * [taylor]: Taking taylor expansion of 1.0 in x 22.077 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.077 * [taylor]: Taking taylor expansion of -1 in x 22.077 * [taylor]: Taking taylor expansion of x in x 22.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.077 * [taylor]: Taking taylor expansion of -1 in x 22.077 * [taylor]: Taking taylor expansion of x in x 22.080 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 22.081 * [taylor]: Taking taylor expansion of 1.0 in x 22.081 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 22.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 22.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 22.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 22.081 * [taylor]: Taking taylor expansion of 1.0 in x 22.081 * [taylor]: Taking taylor expansion of 1.0 in x 22.081 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.081 * [taylor]: Taking taylor expansion of -1 in x 22.081 * [taylor]: Taking taylor expansion of x in x 22.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.081 * [taylor]: Taking taylor expansion of -1 in x 22.081 * [taylor]: Taking taylor expansion of x in x 22.103 * * * [progress]: simplifying candidates 22.107 * [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 (pow E (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log1p (pow E (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* 1 (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (log E) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (log E) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* 1 (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow E 1) (pow E (* (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (pow E (sqrt (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (pow E 1) (pow E (log (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (pow E (log (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (pow E (log (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (pow E (log (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (pow E (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)))) (* (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 E (log (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (pow E (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)))) (sqrt (+ 1.0 (sqrt (* 0.5 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(sqrt 0.5)) 1.0) 2))) (fma 0.015625 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5) (pow 0.5 2))))) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2))))) (fma 0.125 (/ (* (sqrt 1.0) (sqrt 0.5)) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3) (pow 0.5 2)))) (fma 0.5 (/ (* (sqrt 1.0) (sqrt 0.5)) (* x (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))) (fma 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2)))) (* 0.0625 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2))))))))))))))))))) (fma 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (- (fma 0.5 (/ (* (sqrt 1.0) (sqrt 0.5)) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.125 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* x (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (fma 0.5 (/ 1 (* x (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))) (fma 0.5 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4))) (fma 0.0625 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.0625 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4))) (fma 0.0625 (/ (pow (sqrt 0.5) 4) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5))) (fma 0.25 (/ 1 (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (fma 0.5 (/ (* (sqrt 1.0) (sqrt 0.5)) (* x (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4)))) (fma 0.125 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4)))) (fma 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4)))) (* 0.25 (/ (* (pow (sqrt 1.0) 2) (pow (sqrt 0.5) 2)) (* (pow x 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))))))))))))))))) (fma 0.0625 (/ 1 (* (pow x 2) (* (pow 0.5 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.0625 (/ (* (pow (sqrt 1.0) 2) (pow (sqrt 0.5) 2)) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3) (pow 0.5 2)))) (fma 0.015625 (/ (pow (sqrt 0.5) 4) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5) (pow 0.5 2)))) (fma 0.03125 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (* (sqrt 1.0) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5) (pow 0.5 2))))) (fma 0.015625 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5) (pow 0.5 2))))) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2))))) (fma 0.125 (/ (* (sqrt 1.0) (sqrt 0.5)) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3) (pow 0.5 2)))) (fma 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2)))) (* 0.0625 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow x 2) (* (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 4) (pow 0.5 2))))))))))))))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6)))) (fma 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)) (fma 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6)))) (fma 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (fma 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6)))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma 0.5 (/ 1 (* (sqrt 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (fma 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5)))) (fma 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 7)))) (fma 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (fma 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7)))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))))))))))) (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (- (fma 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))))) (fma 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))))))) (fma (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (fma (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) 0.125 (fma (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) 0.5 (fma (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5 (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (fma 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))))) (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)))))) 22.209 * * * [progress]: adding candidates to table 22.976 * [progress]: [Phase 3 of 3] Extracting. 22.976 * * [regime]: Finding splitpoints for: (# # # # # #) 22.979 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 22.979 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 23.019 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 23.044 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 23.081 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 23.107 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 23.141 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 23.165 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 23.199 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 23.421 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 23.459 * * * * [regimes]: Trying to branch on x from (# # # # # #) 23.503 * * * [regime]: Found split indices: #