22.300 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.037 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.041 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.045 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.045 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.059 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.062 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.066 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.066 * [taylor]: Taking taylor expansion of 0.5 in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.067 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.067 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (* x x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.076 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.323 * [taylor]: Taking taylor expansion of 0.5 in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.324 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.329 * [taylor]: Taking taylor expansion of 0.5 in x 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.373 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.373 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.378 * [taylor]: Taking taylor expansion of 0.5 in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.421 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 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 (hypot 1.0 x)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (* x x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.469 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.495 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.495 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.495 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.499 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.527 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.527 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.527 * [taylor]: Taking taylor expansion of 0.5 in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.528 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* x x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.537 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.537 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.538 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (* x x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.716 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.722 * [taylor]: Taking taylor expansion of 0.5 in x 0.722 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.723 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.756 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.762 * [taylor]: Taking taylor expansion of 0.5 in x 0.763 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.763 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.763 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.763 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 0.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.764 * [taylor]: Taking taylor expansion of -1 in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.769 * [taylor]: Taking taylor expansion of 0.5 in x 0.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.791 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.792 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (* x x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.795 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.795 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (* x x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.881 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.881 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.881 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.898 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.898 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.898 * [taylor]: Taking taylor expansion of -1 in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.898 * [taylor]: Taking taylor expansion of -1 in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.902 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.902 * [taylor]: Taking taylor expansion of -1 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.902 * [taylor]: Taking taylor expansion of -1 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * * * [progress]: simplifying candidates 0.916 * [simplify]: Simplifying using # : (- (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 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (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)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 0.921 * * [simplify]: iteration 0 : 355 enodes (cost 358 ) 0.927 * * [simplify]: iteration 1 : 1216 enodes (cost 340 ) 0.949 * * [simplify]: iteration 2 : 5001 enodes (cost 326 ) 0.951 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (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)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (- (- (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) (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (- 0.5) (/ 1 (pow x 3)) (fma 0.375 (/ 1 (pow x 5)) (/ 1.0 x))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (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 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 0.951 * * * [progress]: adding candidates to table 1.047 * * [progress]: iteration 2 / 4 1.047 * * * [progress]: picking best candidate 1.059 * * * * [pick]: Picked # 1.059 * * * [progress]: localizing error 1.071 * * * [progress]: generating rewritten candidates 1.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.071 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.073 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 2 2) 1.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.078 * * * [progress]: generating series expansions 1.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.079 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.079 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.079 * [taylor]: Taking taylor expansion of -0.5 in x 1.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.079 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (* x x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.083 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.083 * [taylor]: Taking taylor expansion of -0.5 in x 1.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.083 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.083 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (* x x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.177 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.177 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.177 * [taylor]: Taking taylor expansion of -0.5 in x 1.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.180 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.181 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.181 * [taylor]: Taking taylor expansion of -0.5 in x 1.181 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.181 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.181 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in (x) around 0 1.201 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.201 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.201 * [taylor]: Taking taylor expansion of -0.5 in x 1.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.205 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.205 * [taylor]: Taking taylor expansion of -0.5 in x 1.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.225 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.225 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.225 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.225 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.225 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (* x x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.228 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.228 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.228 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (* x x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.273 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.277 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.299 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.299 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.303 * [taylor]: Taking taylor expansion of -1 in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 2 2) 1.332 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (* x x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.336 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (* x x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.377 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.377 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.380 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.404 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.408 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.408 * [taylor]: Taking taylor expansion of -1 in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.408 * [taylor]: Taking taylor expansion of -1 in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.439 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.439 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.439 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.439 * [taylor]: Taking taylor expansion of 0.5 in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (* x x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.449 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.449 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.449 * [taylor]: Taking taylor expansion of 0.5 in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.450 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.450 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.450 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (* x x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.668 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.674 * [taylor]: Taking taylor expansion of 0.5 in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.675 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.675 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.675 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.680 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.680 * [taylor]: Taking taylor expansion of 0.5 in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.710 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.710 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.710 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.710 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.710 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.710 * [taylor]: Taking taylor expansion of -1 in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.711 * [taylor]: Taking taylor expansion of -1 in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.716 * [taylor]: Taking taylor expansion of 0.5 in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.716 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.722 * [taylor]: Taking taylor expansion of 0.5 in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * * * [progress]: simplifying candidates 1.758 * [simplify]: Simplifying using # : (* 1.0 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.762 * * [simplify]: iteration 0 : 308 enodes (cost 238 ) 1.768 * * [simplify]: iteration 1 : 1096 enodes (cost 222 ) 1.789 * * [simplify]: iteration 2 : 5001 enodes (cost 216 ) 1.790 * [simplify]: Simplified to: (* 1.0 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (- 0.5) (/ 1 (pow x 3)) (fma 0.375 (/ 1 (pow x 5)) (/ 1.0 x))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (- 0.5) (/ 1 (pow x 3)) (fma 0.375 (/ 1 (pow x 5)) (/ 1.0 x))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 1.790 * * * [progress]: adding candidates to table 1.892 * * [progress]: iteration 3 / 4 1.892 * * * [progress]: picking best candidate 1.903 * * * * [pick]: Picked # 1.903 * * * [progress]: localizing error 1.919 * * * [progress]: generating rewritten candidates 1.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.926 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.938 * * * [progress]: generating series expansions 1.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.939 * [approximate]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in (x) around 0 1.939 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 1.939 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.939 * [taylor]: Taking taylor expansion of 0.5 in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 1.940 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 1.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.940 * [taylor]: Taking taylor expansion of 1.0 in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.940 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.940 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.940 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.940 * [taylor]: Taking taylor expansion of 1.0 in x 1.940 * [taylor]: Taking taylor expansion of 1.0 in x 1.940 * [taylor]: Taking taylor expansion of (* x x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 1.959 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 1.959 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.959 * [taylor]: Taking taylor expansion of 0.5 in x 1.960 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 1.960 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 1.960 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.960 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.960 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.960 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.960 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of (* x x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 3.166 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 3.166 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 3.166 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 3.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.166 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.170 * [taylor]: Taking taylor expansion of 1.0 in x 3.174 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.174 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.174 * [taylor]: Taking taylor expansion of 0.5 in x 3.175 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 3.175 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 3.175 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 3.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.175 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.175 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.179 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.183 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.183 * [taylor]: Taking taylor expansion of 0.5 in x 3.260 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 3.261 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 3.261 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 3.261 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 3.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.261 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.261 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.261 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.261 * [taylor]: Taking taylor expansion of -1 in x 3.261 * [taylor]: Taking taylor expansion of x in x 3.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.261 * [taylor]: Taking taylor expansion of -1 in x 3.261 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of 1.0 in x 3.268 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.269 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.269 * [taylor]: Taking taylor expansion of 0.5 in x 3.269 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 3.269 * [taylor]: Taking taylor expansion of 1.0 in x 3.269 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 3.269 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 3.269 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 3.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.269 * [taylor]: Taking taylor expansion of 1.0 in x 3.269 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.269 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.270 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.270 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.270 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.270 * [taylor]: Taking taylor expansion of 1.0 in x 3.270 * [taylor]: Taking taylor expansion of 1.0 in x 3.270 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.270 * [taylor]: Taking taylor expansion of -1 in x 3.270 * [taylor]: Taking taylor expansion of x in x 3.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.270 * [taylor]: Taking taylor expansion of -1 in x 3.270 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of 1.0 in x 3.278 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.278 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.278 * [taylor]: Taking taylor expansion of 0.5 in x 3.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.356 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 3.356 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 3.356 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.356 * [taylor]: Taking taylor expansion of 0.5 in x 3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.357 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.357 * [taylor]: Taking taylor expansion of 1.0 in x 3.357 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.357 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.357 * [taylor]: Taking taylor expansion of 1.0 in x 3.357 * [taylor]: Taking taylor expansion of 1.0 in x 3.357 * [taylor]: Taking taylor expansion of (* x x) in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.375 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 3.375 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.376 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.376 * [taylor]: Taking taylor expansion of 0.5 in x 3.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.376 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.376 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.377 * [taylor]: Taking taylor expansion of 1.0 in x 3.377 * [taylor]: Taking taylor expansion of 1.0 in x 3.377 * [taylor]: Taking taylor expansion of (* x x) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 3.866 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.866 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.866 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.866 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.866 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.866 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.870 * [taylor]: Taking taylor expansion of 1.0 in x 3.872 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.872 * [taylor]: Taking taylor expansion of 0.5 in x 3.873 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.873 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.873 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.873 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.874 * [taylor]: Taking taylor expansion of 1.0 in x 3.874 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.874 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.874 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.874 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.874 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.874 * [taylor]: Taking taylor expansion of 1.0 in x 3.874 * [taylor]: Taking taylor expansion of 1.0 in x 3.874 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.874 * [taylor]: Taking taylor expansion of x in x 3.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.874 * [taylor]: Taking taylor expansion of x in x 3.877 * [taylor]: Taking taylor expansion of 1.0 in x 3.879 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.879 * [taylor]: Taking taylor expansion of 0.5 in x 3.956 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 3.956 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.957 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.957 * [taylor]: Taking taylor expansion of 1.0 in x 3.957 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.957 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.957 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.957 * [taylor]: Taking taylor expansion of 1.0 in x 3.957 * [taylor]: Taking taylor expansion of 1.0 in x 3.957 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.957 * [taylor]: Taking taylor expansion of -1 in x 3.957 * [taylor]: Taking taylor expansion of x in x 3.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.957 * [taylor]: Taking taylor expansion of -1 in x 3.957 * [taylor]: Taking taylor expansion of x in x 3.960 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.962 * [taylor]: Taking taylor expansion of 0.5 in x 3.964 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.964 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.964 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.964 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.964 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.964 * [taylor]: Taking taylor expansion of 1.0 in x 3.964 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.964 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.964 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.964 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.964 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.964 * [taylor]: Taking taylor expansion of 1.0 in x 3.964 * [taylor]: Taking taylor expansion of 1.0 in x 3.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.964 * [taylor]: Taking taylor expansion of -1 in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.965 * [taylor]: Taking taylor expansion of -1 in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.968 * [taylor]: Taking taylor expansion of 1.0 in x 3.970 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.970 * [taylor]: Taking taylor expansion of 0.5 in x 4.047 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.048 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in (x) around 0 4.048 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 4.048 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 4.048 * [taylor]: Taking taylor expansion of 1.0 in x 4.048 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 4.048 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.048 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.048 * [taylor]: Taking taylor expansion of 0.5 in x 4.048 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 4.048 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 4.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.049 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.049 * [taylor]: Taking taylor expansion of 1.0 in x 4.049 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.049 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.049 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.049 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.049 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.049 * [taylor]: Taking taylor expansion of 1.0 in x 4.049 * [taylor]: Taking taylor expansion of 1.0 in x 4.049 * [taylor]: Taking taylor expansion of (* x x) in x 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [taylor]: Taking taylor expansion of x in x 4.052 * [taylor]: Taking taylor expansion of 1.0 in x 4.067 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 4.068 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 4.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 4.068 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.068 * [taylor]: Taking taylor expansion of 0.5 in x 4.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.068 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (* x x) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.071 * [taylor]: Taking taylor expansion of 1.0 in x 4.071 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.071 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.071 * [taylor]: Taking taylor expansion of 0.5 in x 4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.072 * [taylor]: Taking taylor expansion of (* x x) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.141 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 4.141 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 4.141 * [taylor]: Taking taylor expansion of 1.0 in x 4.141 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 4.141 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.141 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.141 * [taylor]: Taking taylor expansion of 0.5 in x 4.142 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 4.142 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 4.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.142 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.142 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of (* x x) in x 4.142 * [taylor]: Taking taylor expansion of x in x 4.142 * [taylor]: Taking taylor expansion of x in x 4.145 * [taylor]: Taking taylor expansion of 1.0 in x 4.160 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 4.161 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 4.161 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 4.161 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 4.161 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.161 * [taylor]: Taking taylor expansion of 0.5 in x 4.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.161 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.161 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.161 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [taylor]: Taking taylor expansion of (* x x) in x 4.161 * [taylor]: Taking taylor expansion of x in x 4.161 * [taylor]: Taking taylor expansion of x in x 4.164 * [taylor]: Taking taylor expansion of 1.0 in x 4.164 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.164 * [taylor]: Taking taylor expansion of 1.0 in x 4.164 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.164 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.164 * [taylor]: Taking taylor expansion of 0.5 in x 4.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.165 * [taylor]: Taking taylor expansion of 1.0 in x 4.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.165 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.165 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.165 * [taylor]: Taking taylor expansion of 1.0 in x 4.165 * [taylor]: Taking taylor expansion of 1.0 in x 4.165 * [taylor]: Taking taylor expansion of (* x x) in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.168 * [taylor]: Taking taylor expansion of 1.0 in x 8.534 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in (x) around 0 8.534 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 8.534 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 8.534 * [taylor]: Taking taylor expansion of 1.0 in x 8.534 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 8.534 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 8.534 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 8.534 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.534 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.534 * [taylor]: Taking taylor expansion of 1.0 in x 8.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.534 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.535 * [taylor]: Taking taylor expansion of 1.0 in x 8.535 * [taylor]: Taking taylor expansion of 1.0 in x 8.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.535 * [taylor]: Taking taylor expansion of x in x 8.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.535 * [taylor]: Taking taylor expansion of x in x 8.538 * [taylor]: Taking taylor expansion of 1.0 in x 8.542 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 8.542 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.542 * [taylor]: Taking taylor expansion of 0.5 in x 8.543 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 8.543 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 8.543 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.543 * [taylor]: Taking taylor expansion of 1.0 in x 8.543 * [taylor]: Taking taylor expansion of 1.0 in x 8.543 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 8.543 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 8.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.543 * [taylor]: Taking taylor expansion of 0.5 in x 8.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.543 * [taylor]: Taking taylor expansion of 1.0 in x 8.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.543 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.543 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.543 * [taylor]: Taking taylor expansion of 1.0 in x 8.543 * [taylor]: Taking taylor expansion of 1.0 in x 8.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.543 * [taylor]: Taking taylor expansion of x in x 8.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.544 * [taylor]: Taking taylor expansion of x in x 8.547 * [taylor]: Taking taylor expansion of 1.0 in x 8.547 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 8.547 * [taylor]: Taking taylor expansion of 1.0 in x 8.547 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.547 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.547 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.547 * [taylor]: Taking taylor expansion of 1.0 in x 8.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.547 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.547 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.547 * [taylor]: Taking taylor expansion of 1.0 in x 8.547 * [taylor]: Taking taylor expansion of 1.0 in x 8.547 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.547 * [taylor]: Taking taylor expansion of x in x 8.557 * [taylor]: Taking taylor expansion of 1.0 in x 8.559 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.559 * [taylor]: Taking taylor expansion of 0.5 in x 8.579 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 8.579 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 8.579 * [taylor]: Taking taylor expansion of 1.0 in x 8.579 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 8.579 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 8.579 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 8.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.579 * [taylor]: Taking taylor expansion of 1.0 in x 8.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.580 * [taylor]: Taking taylor expansion of 1.0 in x 8.580 * [taylor]: Taking taylor expansion of 1.0 in x 8.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.580 * [taylor]: Taking taylor expansion of x in x 8.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.580 * [taylor]: Taking taylor expansion of x in x 8.583 * [taylor]: Taking taylor expansion of 1.0 in x 8.587 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 8.587 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.587 * [taylor]: Taking taylor expansion of 0.5 in x 8.588 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 8.588 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 8.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 8.588 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 8.588 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.588 * [taylor]: Taking taylor expansion of 0.5 in x 8.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.588 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.588 * [taylor]: Taking taylor expansion of x in x 8.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.589 * [taylor]: Taking taylor expansion of x in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.592 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.592 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.595 * [taylor]: Taking taylor expansion of 1.0 in x 8.597 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.597 * [taylor]: Taking taylor expansion of 0.5 in x 9.134 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in (x) around 0 9.135 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.135 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.135 * [taylor]: Taking taylor expansion of 1.0 in x 9.135 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.135 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 9.135 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 9.135 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.135 * [taylor]: Taking taylor expansion of 1.0 in x 9.135 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.135 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.135 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.135 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.135 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.135 * [taylor]: Taking taylor expansion of 1.0 in x 9.135 * [taylor]: Taking taylor expansion of 1.0 in x 9.135 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.135 * [taylor]: Taking taylor expansion of -1 in x 9.135 * [taylor]: Taking taylor expansion of x in x 9.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.135 * [taylor]: Taking taylor expansion of -1 in x 9.135 * [taylor]: Taking taylor expansion of x in x 9.139 * [taylor]: Taking taylor expansion of 1.0 in x 9.143 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.143 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.143 * [taylor]: Taking taylor expansion of 0.5 in x 9.144 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 9.144 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 9.144 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.144 * [taylor]: Taking taylor expansion of 1.0 in x 9.144 * [taylor]: Taking taylor expansion of 1.0 in x 9.144 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 9.144 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 9.144 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.144 * [taylor]: Taking taylor expansion of 0.5 in x 9.144 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.144 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.144 * [taylor]: Taking taylor expansion of 1.0 in x 9.144 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.144 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.144 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.144 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.144 * [taylor]: Taking taylor expansion of 1.0 in x 9.144 * [taylor]: Taking taylor expansion of 1.0 in x 9.144 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.144 * [taylor]: Taking taylor expansion of -1 in x 9.144 * [taylor]: Taking taylor expansion of x in x 9.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.145 * [taylor]: Taking taylor expansion of -1 in x 9.145 * [taylor]: Taking taylor expansion of x in x 9.148 * [taylor]: Taking taylor expansion of 1.0 in x 9.148 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 9.148 * [taylor]: Taking taylor expansion of 1.0 in x 9.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.148 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.148 * [taylor]: Taking taylor expansion of 1.0 in x 9.148 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.148 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.148 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.148 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.148 * [taylor]: Taking taylor expansion of 1.0 in x 9.148 * [taylor]: Taking taylor expansion of 1.0 in x 9.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.148 * [taylor]: Taking taylor expansion of -1 in x 9.148 * [taylor]: Taking taylor expansion of x in x 9.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.148 * [taylor]: Taking taylor expansion of -1 in x 9.148 * [taylor]: Taking taylor expansion of x in x 9.152 * [taylor]: Taking taylor expansion of 1.0 in x 9.154 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.154 * [taylor]: Taking taylor expansion of 0.5 in x 9.174 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.174 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.174 * [taylor]: Taking taylor expansion of 1.0 in x 9.174 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.174 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 9.174 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 9.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.174 * [taylor]: Taking taylor expansion of 1.0 in x 9.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.174 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.174 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.174 * [taylor]: Taking taylor expansion of 1.0 in x 9.174 * [taylor]: Taking taylor expansion of 1.0 in x 9.174 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.174 * [taylor]: Taking taylor expansion of -1 in x 9.174 * [taylor]: Taking taylor expansion of x in x 9.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.174 * [taylor]: Taking taylor expansion of -1 in x 9.174 * [taylor]: Taking taylor expansion of x in x 9.178 * [taylor]: Taking taylor expansion of 1.0 in x 9.182 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.182 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.182 * [taylor]: Taking taylor expansion of 0.5 in x 9.182 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 9.182 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 9.182 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.182 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 9.183 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 9.183 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.183 * [taylor]: Taking taylor expansion of 0.5 in x 9.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.183 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.183 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.183 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.183 * [taylor]: Taking taylor expansion of -1 in x 9.183 * [taylor]: Taking taylor expansion of x in x 9.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.183 * [taylor]: Taking taylor expansion of -1 in x 9.183 * [taylor]: Taking taylor expansion of x in x 9.186 * [taylor]: Taking taylor expansion of 1.0 in x 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 9.186 * [taylor]: Taking taylor expansion of 1.0 in x 9.186 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.186 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.187 * [taylor]: Taking taylor expansion of 1.0 in x 9.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.187 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.187 * [taylor]: Taking taylor expansion of 1.0 in x 9.187 * [taylor]: Taking taylor expansion of 1.0 in x 9.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.187 * [taylor]: Taking taylor expansion of -1 in x 9.187 * [taylor]: Taking taylor expansion of x in x 9.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.187 * [taylor]: Taking taylor expansion of -1 in x 9.187 * [taylor]: Taking taylor expansion of x in x 9.190 * [taylor]: Taking taylor expansion of 1.0 in x 9.192 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.192 * [taylor]: Taking taylor expansion of 0.5 in x 9.731 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.731 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in (x) around 0 9.731 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 9.732 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 9.732 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.732 * [taylor]: Taking taylor expansion of 1.0 in x 9.732 * [taylor]: Taking taylor expansion of 1.0 in x 9.732 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 9.732 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 9.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.732 * [taylor]: Taking taylor expansion of 0.5 in x 9.732 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.732 * [taylor]: Taking taylor expansion of 1.0 in x 9.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.732 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.732 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.732 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.732 * [taylor]: Taking taylor expansion of 1.0 in x 9.732 * [taylor]: Taking taylor expansion of 1.0 in x 9.732 * [taylor]: Taking taylor expansion of (* x x) in x 9.732 * [taylor]: Taking taylor expansion of x in x 9.732 * [taylor]: Taking taylor expansion of x in x 9.735 * [taylor]: Taking taylor expansion of 1.0 in x 9.735 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 9.735 * [taylor]: Taking taylor expansion of 1.0 in x 9.735 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 9.735 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.735 * [taylor]: Taking taylor expansion of 0.5 in x 9.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.736 * [taylor]: Taking taylor expansion of 1.0 in x 9.736 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.736 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.736 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.736 * [taylor]: Taking taylor expansion of 1.0 in x 9.736 * [taylor]: Taking taylor expansion of 1.0 in x 9.736 * [taylor]: Taking taylor expansion of (* x x) in x 9.736 * [taylor]: Taking taylor expansion of x in x 9.736 * [taylor]: Taking taylor expansion of x in x 9.739 * [taylor]: Taking taylor expansion of 1.0 in x 9.745 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 9.745 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 9.745 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.745 * [taylor]: Taking taylor expansion of 1.0 in x 9.745 * [taylor]: Taking taylor expansion of 1.0 in x 9.745 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 9.746 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 9.746 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.746 * [taylor]: Taking taylor expansion of 0.5 in x 9.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.746 * [taylor]: Taking taylor expansion of 1.0 in x 9.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.746 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.746 * [taylor]: Taking taylor expansion of 1.0 in x 9.746 * [taylor]: Taking taylor expansion of 1.0 in x 9.746 * [taylor]: Taking taylor expansion of (* x x) in x 9.746 * [taylor]: Taking taylor expansion of x in x 9.746 * [taylor]: Taking taylor expansion of x in x 9.749 * [taylor]: Taking taylor expansion of 1.0 in x 9.749 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 9.749 * [taylor]: Taking taylor expansion of 1.0 in x 9.749 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 9.749 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.749 * [taylor]: Taking taylor expansion of 0.5 in x 9.750 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.750 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.750 * [taylor]: Taking taylor expansion of 1.0 in x 9.750 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.750 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.750 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.750 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.750 * [taylor]: Taking taylor expansion of 1.0 in x 9.750 * [taylor]: Taking taylor expansion of 1.0 in x 9.750 * [taylor]: Taking taylor expansion of (* x x) in x 9.750 * [taylor]: Taking taylor expansion of x in x 9.750 * [taylor]: Taking taylor expansion of x in x 9.753 * [taylor]: Taking taylor expansion of 1.0 in x 10.166 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in (x) around 0 10.166 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 10.166 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 10.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.167 * [taylor]: Taking taylor expansion of 1.0 in x 10.167 * [taylor]: Taking taylor expansion of 1.0 in x 10.167 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 10.167 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 10.167 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.167 * [taylor]: Taking taylor expansion of 0.5 in x 10.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.167 * [taylor]: Taking taylor expansion of 1.0 in x 10.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.167 * [taylor]: Taking taylor expansion of 1.0 in x 10.167 * [taylor]: Taking taylor expansion of 1.0 in x 10.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.167 * [taylor]: Taking taylor expansion of x in x 10.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.167 * [taylor]: Taking taylor expansion of x in x 10.170 * [taylor]: Taking taylor expansion of 1.0 in x 10.170 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 10.170 * [taylor]: Taking taylor expansion of 1.0 in x 10.170 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 10.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.171 * [taylor]: Taking taylor expansion of 1.0 in x 10.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.171 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.171 * [taylor]: Taking taylor expansion of 1.0 in x 10.171 * [taylor]: Taking taylor expansion of 1.0 in x 10.171 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.171 * [taylor]: Taking taylor expansion of x in x 10.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.171 * [taylor]: Taking taylor expansion of x in x 10.182 * [taylor]: Taking taylor expansion of 1.0 in x 10.184 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.184 * [taylor]: Taking taylor expansion of 0.5 in x 10.185 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 10.185 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 10.185 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.185 * [taylor]: Taking taylor expansion of 1.0 in x 10.185 * [taylor]: Taking taylor expansion of 1.0 in x 10.185 * [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)))) in x 10.185 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 10.185 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.185 * [taylor]: Taking taylor expansion of 0.5 in x 10.185 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.185 * [taylor]: Taking taylor expansion of 1.0 in x 10.185 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.185 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.185 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.185 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.185 * [taylor]: Taking taylor expansion of 1.0 in x 10.185 * [taylor]: Taking taylor expansion of 1.0 in x 10.185 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.185 * [taylor]: Taking taylor expansion of x in x 10.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.186 * [taylor]: Taking taylor expansion of x in x 10.189 * [taylor]: Taking taylor expansion of 1.0 in x 10.189 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 10.189 * [taylor]: Taking taylor expansion of 1.0 in x 10.189 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 10.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 10.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.189 * [taylor]: Taking taylor expansion of 1.0 in x 10.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.189 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.189 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.189 * [taylor]: Taking taylor expansion of 1.0 in x 10.189 * [taylor]: Taking taylor expansion of 1.0 in x 10.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.189 * [taylor]: Taking taylor expansion of x in x 10.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.189 * [taylor]: Taking taylor expansion of x in x 10.192 * [taylor]: Taking taylor expansion of 1.0 in x 10.194 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.194 * [taylor]: Taking taylor expansion of 0.5 in x 10.250 * [approximate]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in (x) around 0 10.250 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 10.250 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 10.250 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.250 * [taylor]: Taking taylor expansion of 1.0 in x 10.250 * [taylor]: Taking taylor expansion of 1.0 in x 10.250 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 10.250 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 10.250 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 10.250 * [taylor]: Taking taylor expansion of 0.5 in x 10.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.250 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.250 * [taylor]: Taking taylor expansion of 1.0 in x 10.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.250 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.250 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.250 * [taylor]: Taking taylor expansion of 1.0 in x 10.250 * [taylor]: Taking taylor expansion of 1.0 in x 10.250 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.250 * [taylor]: Taking taylor expansion of -1 in x 10.250 * [taylor]: Taking taylor expansion of x in x 10.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.251 * [taylor]: Taking taylor expansion of -1 in x 10.251 * [taylor]: Taking taylor expansion of x in x 10.254 * [taylor]: Taking taylor expansion of 1.0 in x 10.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 10.254 * [taylor]: Taking taylor expansion of 1.0 in x 10.254 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 10.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 10.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.255 * [taylor]: Taking taylor expansion of 1.0 in x 10.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.255 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.255 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.255 * [taylor]: Taking taylor expansion of 1.0 in x 10.255 * [taylor]: Taking taylor expansion of 1.0 in x 10.255 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.255 * [taylor]: Taking taylor expansion of -1 in x 10.255 * [taylor]: Taking taylor expansion of x in x 10.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.255 * [taylor]: Taking taylor expansion of -1 in x 10.255 * [taylor]: Taking taylor expansion of x in x 10.258 * [taylor]: Taking taylor expansion of 1.0 in x 10.268 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.268 * [taylor]: Taking taylor expansion of 0.5 in x 10.269 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 10.269 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 10.269 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.269 * [taylor]: Taking taylor expansion of 1.0 in x 10.269 * [taylor]: Taking taylor expansion of 1.0 in x 10.269 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 10.269 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 10.269 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 10.269 * [taylor]: Taking taylor expansion of 0.5 in x 10.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.269 * [taylor]: Taking taylor expansion of 1.0 in x 10.269 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.269 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.269 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.269 * [taylor]: Taking taylor expansion of 1.0 in x 10.269 * [taylor]: Taking taylor expansion of 1.0 in x 10.269 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.269 * [taylor]: Taking taylor expansion of -1 in x 10.269 * [taylor]: Taking taylor expansion of x in x 10.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.270 * [taylor]: Taking taylor expansion of -1 in x 10.270 * [taylor]: Taking taylor expansion of x in x 10.273 * [taylor]: Taking taylor expansion of 1.0 in x 10.273 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 10.273 * [taylor]: Taking taylor expansion of 1.0 in x 10.273 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 10.273 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 10.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.273 * [taylor]: Taking taylor expansion of 1.0 in x 10.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.273 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.273 * [taylor]: Taking taylor expansion of 1.0 in x 10.273 * [taylor]: Taking taylor expansion of 1.0 in x 10.273 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.273 * [taylor]: Taking taylor expansion of -1 in x 10.273 * [taylor]: Taking taylor expansion of x in x 10.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.273 * [taylor]: Taking taylor expansion of -1 in x 10.274 * [taylor]: Taking taylor expansion of x in x 10.277 * [taylor]: Taking taylor expansion of 1.0 in x 10.279 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.279 * [taylor]: Taking taylor expansion of 0.5 in x 10.334 * * * [progress]: simplifying candidates 10.336 * [simplify]: Simplifying using # : (fma (* 1.0 1.0) 1.0 (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (* 1.0 1.0) 1.0 (- (* (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)))) (fma (- (pow (sqrt 0.5) 3)) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (* (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3))) (fma (* 1.0 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))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* 1.0 1.0) 1.0 (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)))) (fma (- (pow (sqrt 0.5) 3)) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (* (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (pow (pow 1.0 3) 3) (pow (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 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1.0 (/ 1 (sqrt 1.0))) 1.0) 9))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 8) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 1.125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 9))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 9) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.75 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 3) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.28125 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 9))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.15625 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.0625 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (fma 0.0625 (/ (pow x 4) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2) (* (pow (sqrt 1.0) 8) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 1.5 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 4) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.1875 (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))) (fma 0.375 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 2) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.1875 (* (/ (* (pow (sqrt 0.5) 3) (pow x 4)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (fma 0.125 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (* 0.375 (* (/ (* (pow (sqrt 0.5) 3) (pow x 4)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 7))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))))))))))))))))))))))) (fma 0.5625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 5) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.125 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (pow (sqrt 0.5) 3) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))) (fma 0.125 (/ (* (pow x 4) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3))) (fma 0.0625 (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (fma 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.9375 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 7) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 1.5 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5))))) (fma 0.1875 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (sqrt 1.0) 5) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2)))) (fma 0.25 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 3))) (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 3) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 4) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (* 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))))))))))))))))))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (- (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (* 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2))))))))))))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (+ (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (- (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (fma 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2)))) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)))))))))) (fma 0.5 (/ 1 (sqrt 1.0)) (- (fma 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.5))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (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))) (- (fma 1.0 (* (sqrt 1.0) (sqrt 0.5)) (fma 0.5 (/ 1 x) 1.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (* 1.0 (sqrt 1.0)) (sqrt 0.5) (- 1.5 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* 0.5 (/ 1 x)))))) 10.401 * * * [progress]: adding candidates to table 10.770 * * [progress]: iteration 4 / 4 10.770 * * * [progress]: picking best candidate 10.815 * * * * [pick]: Picked # 10.815 * * * [progress]: localizing error 10.838 * * * [progress]: generating rewritten candidates 10.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 10.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 10.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 10.890 * * * [progress]: generating series expansions 10.890 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.892 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))))))) in (x) around 0 10.892 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))))))) in x 10.892 * [taylor]: Taking taylor expansion of 1.0 in x 10.892 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)))))) in x 10.892 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) in x 10.892 * [taylor]: Taking taylor expansion of 3.0 in x 10.892 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 x)) in x 10.892 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.892 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.892 * [taylor]: Taking taylor expansion of 0.5 in x 10.893 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.893 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.893 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.893 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.893 * [taylor]: Taking taylor expansion of 1.0 in x 10.893 * [taylor]: Taking taylor expansion of 1.0 in x 10.893 * [taylor]: Taking taylor expansion of (* x x) in x 10.893 * [taylor]: Taking taylor expansion of x in x 10.893 * [taylor]: Taking taylor expansion of x in x 10.900 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))))) in x 10.900 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) in x 10.900 * [taylor]: Taking taylor expansion of 3.0 in x 10.900 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2)) in x 10.900 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.900 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.900 * [taylor]: Taking taylor expansion of 0.5 in x 10.901 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 10.901 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.901 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.901 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.901 * [taylor]: Taking taylor expansion of 1.0 in x 10.901 * [taylor]: Taking taylor expansion of 1.0 in x 10.901 * [taylor]: Taking taylor expansion of (* x x) in x 10.901 * [taylor]: Taking taylor expansion of x in x 10.901 * [taylor]: Taking taylor expansion of x in x 10.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)))) in x 10.910 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 10.910 * [taylor]: Taking taylor expansion of 1.0 in x 10.910 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.910 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.910 * [taylor]: Taking taylor expansion of 0.5 in x 10.910 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))) in x 10.910 * [taylor]: Taking taylor expansion of 1.0 in x 10.910 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)) in x 10.910 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.910 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.910 * [taylor]: Taking taylor expansion of 0.5 in x 10.911 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 10.911 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.911 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.911 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.911 * [taylor]: Taking taylor expansion of 1.0 in x 10.911 * [taylor]: Taking taylor expansion of 1.0 in x 10.911 * [taylor]: Taking taylor expansion of (* x x) in x 10.911 * [taylor]: Taking taylor expansion of x in x 10.911 * [taylor]: Taking taylor expansion of x in x 10.921 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))))))) in x 10.921 * [taylor]: Taking taylor expansion of 1.0 in x 10.921 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)))))) in x 10.921 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 x))) in x 10.921 * [taylor]: Taking taylor expansion of 3.0 in x 10.921 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 x)) in x 10.921 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.921 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.921 * [taylor]: Taking taylor expansion of 0.5 in x 10.922 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.922 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.922 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.922 * [taylor]: Taking taylor expansion of 1.0 in x 10.922 * [taylor]: Taking taylor expansion of 1.0 in x 10.922 * [taylor]: Taking taylor expansion of (* x x) in x 10.922 * [taylor]: Taking taylor expansion of x in x 10.922 * [taylor]: Taking taylor expansion of x in x 10.929 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))))) in x 10.929 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2))) in x 10.929 * [taylor]: Taking taylor expansion of 3.0 in x 10.929 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 2)) in x 10.929 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.929 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.929 * [taylor]: Taking taylor expansion of 0.5 in x 10.930 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 10.930 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.930 * [taylor]: Taking taylor expansion of 1.0 in x 10.930 * [taylor]: Taking taylor expansion of 1.0 in x 10.930 * [taylor]: Taking taylor expansion of (* x x) in x 10.930 * [taylor]: Taking taylor expansion of x in x 10.930 * [taylor]: Taking taylor expansion of x in x 10.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)))) in x 10.939 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 10.939 * [taylor]: Taking taylor expansion of 1.0 in x 10.939 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.939 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.939 * [taylor]: Taking taylor expansion of 0.5 in x 10.939 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3))) in x 10.939 * [taylor]: Taking taylor expansion of 1.0 in x 10.940 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 x) 3)) in x 10.940 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 10.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 10.940 * [taylor]: Taking taylor expansion of 0.5 in x 10.940 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 10.940 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.940 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.940 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.940 * [taylor]: Taking taylor expansion of 1.0 in x 10.940 * [taylor]: Taking taylor expansion of 1.0 in x 10.941 * [taylor]: Taking taylor expansion of (* x x) in x 10.941 * [taylor]: Taking taylor expansion of x in x 10.941 * [taylor]: Taking taylor expansion of x in x 11.663 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))))))) in (x) around 0 11.663 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))))))) in x 11.663 * [taylor]: Taking taylor expansion of 1.0 in x 11.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))))))) in x 11.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) in x 11.663 * [taylor]: Taking taylor expansion of 1.0 in x 11.663 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3)) in x 11.663 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.663 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.663 * [taylor]: Taking taylor expansion of 0.5 in x 11.664 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 11.664 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.664 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.664 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.664 * [taylor]: Taking taylor expansion of 1.0 in x 11.664 * [taylor]: Taking taylor expansion of 1.0 in x 11.664 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.664 * [taylor]: Taking taylor expansion of x in x 11.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.665 * [taylor]: Taking taylor expansion of x in x 11.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))))) in x 11.673 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 11.673 * [taylor]: Taking taylor expansion of 1.0 in x 11.673 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.673 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.673 * [taylor]: Taking taylor expansion of 0.5 in x 11.673 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))))) in x 11.673 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) in x 11.673 * [taylor]: Taking taylor expansion of 3.0 in x 11.673 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2)) in x 11.674 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.674 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.674 * [taylor]: Taking taylor expansion of 0.5 in x 11.674 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 11.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.674 * [taylor]: Taking taylor expansion of 1.0 in x 11.674 * [taylor]: Taking taylor expansion of 1.0 in x 11.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.674 * [taylor]: Taking taylor expansion of x in x 11.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.675 * [taylor]: Taking taylor expansion of x in x 11.683 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))) in x 11.683 * [taylor]: Taking taylor expansion of 3.0 in x 11.683 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))) in x 11.683 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.683 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.683 * [taylor]: Taking taylor expansion of 0.5 in x 11.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.684 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.684 * [taylor]: Taking taylor expansion of 1.0 in x 11.684 * [taylor]: Taking taylor expansion of 1.0 in x 11.684 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.684 * [taylor]: Taking taylor expansion of x in x 11.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.684 * [taylor]: Taking taylor expansion of x in x 11.691 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))))))) in x 11.691 * [taylor]: Taking taylor expansion of 1.0 in x 11.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))))))) in x 11.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3))) in x 11.691 * [taylor]: Taking taylor expansion of 1.0 in x 11.691 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 3)) in x 11.691 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.691 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.691 * [taylor]: Taking taylor expansion of 0.5 in x 11.692 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 11.692 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.692 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.692 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.692 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.692 * [taylor]: Taking taylor expansion of 1.0 in x 11.692 * [taylor]: Taking taylor expansion of 1.0 in x 11.692 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.692 * [taylor]: Taking taylor expansion of x in x 11.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.693 * [taylor]: Taking taylor expansion of x in x 11.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))))) in x 11.700 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 11.701 * [taylor]: Taking taylor expansion of 1.0 in x 11.701 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.701 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.701 * [taylor]: Taking taylor expansion of 0.5 in x 11.701 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))))) in x 11.701 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2))) in x 11.701 * [taylor]: Taking taylor expansion of 3.0 in x 11.701 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ 1 x)) 2)) in x 11.701 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.701 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.701 * [taylor]: Taking taylor expansion of 0.5 in x 11.702 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 11.702 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.702 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.702 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.702 * [taylor]: Taking taylor expansion of 1.0 in x 11.702 * [taylor]: Taking taylor expansion of 1.0 in x 11.702 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.702 * [taylor]: Taking taylor expansion of x in x 11.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.703 * [taylor]: Taking taylor expansion of x in x 11.710 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x)))) in x 11.710 * [taylor]: Taking taylor expansion of 3.0 in x 11.710 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ 1 x))) in x 11.710 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.710 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.710 * [taylor]: Taking taylor expansion of 0.5 in x 11.711 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 11.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 11.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 11.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.711 * [taylor]: Taking taylor expansion of 1.0 in x 11.711 * [taylor]: Taking taylor expansion of 1.0 in x 11.711 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.711 * [taylor]: Taking taylor expansion of x in x 11.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.711 * [taylor]: Taking taylor expansion of x in x 11.774 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))))))) in (x) around 0 11.774 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))))))) in x 11.774 * [taylor]: Taking taylor expansion of 1.0 in x 11.774 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)))))) in x 11.774 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) in x 11.774 * [taylor]: Taking taylor expansion of 3.0 in x 11.774 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x))) in x 11.774 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.774 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.774 * [taylor]: Taking taylor expansion of 0.5 in x 11.775 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.775 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.775 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.775 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.775 * [taylor]: Taking taylor expansion of 1.0 in x 11.775 * [taylor]: Taking taylor expansion of 1.0 in x 11.775 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.775 * [taylor]: Taking taylor expansion of -1 in x 11.775 * [taylor]: Taking taylor expansion of x in x 11.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.776 * [taylor]: Taking taylor expansion of -1 in x 11.776 * [taylor]: Taking taylor expansion of x in x 11.783 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))))) in x 11.783 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 11.783 * [taylor]: Taking taylor expansion of 1.0 in x 11.783 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.783 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.783 * [taylor]: Taking taylor expansion of 0.5 in x 11.784 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)))) in x 11.784 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) in x 11.784 * [taylor]: Taking taylor expansion of 3.0 in x 11.784 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2)) in x 11.784 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.784 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.784 * [taylor]: Taking taylor expansion of 0.5 in x 11.785 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 11.785 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.785 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.785 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.785 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.785 * [taylor]: Taking taylor expansion of 1.0 in x 11.785 * [taylor]: Taking taylor expansion of 1.0 in x 11.785 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.785 * [taylor]: Taking taylor expansion of -1 in x 11.785 * [taylor]: Taking taylor expansion of x in x 11.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.785 * [taylor]: Taking taylor expansion of -1 in x 11.785 * [taylor]: Taking taylor expansion of x in x 11.793 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))) in x 11.793 * [taylor]: Taking taylor expansion of 1.0 in x 11.793 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)) in x 11.793 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.793 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.793 * [taylor]: Taking taylor expansion of 0.5 in x 11.794 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 11.794 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.794 * [taylor]: Taking taylor expansion of 1.0 in x 11.794 * [taylor]: Taking taylor expansion of 1.0 in x 11.794 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.794 * [taylor]: Taking taylor expansion of -1 in x 11.794 * [taylor]: Taking taylor expansion of x in x 11.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.795 * [taylor]: Taking taylor expansion of -1 in x 11.795 * [taylor]: Taking taylor expansion of x in x 11.808 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))))))) in x 11.808 * [taylor]: Taking taylor expansion of 1.0 in x 11.808 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)))))) in x 11.808 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x)))) in x 11.808 * [taylor]: Taking taylor expansion of 3.0 in x 11.808 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (hypot 1.0 (/ -1 x))) in x 11.808 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.808 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.808 * [taylor]: Taking taylor expansion of 0.5 in x 11.809 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.809 * [taylor]: Taking taylor expansion of 1.0 in x 11.809 * [taylor]: Taking taylor expansion of 1.0 in x 11.809 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.809 * [taylor]: Taking taylor expansion of -1 in x 11.809 * [taylor]: Taking taylor expansion of x in x 11.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.810 * [taylor]: Taking taylor expansion of -1 in x 11.810 * [taylor]: Taking taylor expansion of x in x 11.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow (sqrt 0.5) 6)) (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))))) in x 11.818 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 6)) in x 11.818 * [taylor]: Taking taylor expansion of 1.0 in x 11.818 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.818 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.818 * [taylor]: Taking taylor expansion of 0.5 in x 11.818 * [taylor]: Taking taylor expansion of (+ (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)))) in x 11.818 * [taylor]: Taking taylor expansion of (* 3.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2))) in x 11.818 * [taylor]: Taking taylor expansion of 3.0 in x 11.818 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 2)) in x 11.819 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.819 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.819 * [taylor]: Taking taylor expansion of 0.5 in x 11.819 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 11.819 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.819 * [taylor]: Taking taylor expansion of 1.0 in x 11.819 * [taylor]: Taking taylor expansion of 1.0 in x 11.820 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.820 * [taylor]: Taking taylor expansion of -1 in x 11.820 * [taylor]: Taking taylor expansion of x in x 11.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.820 * [taylor]: Taking taylor expansion of -1 in x 11.820 * [taylor]: Taking taylor expansion of x in x 11.828 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3))) in x 11.828 * [taylor]: Taking taylor expansion of 1.0 in x 11.828 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 6) (pow (hypot 1.0 (/ -1 x)) 3)) in x 11.828 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 6) in x 11.828 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.828 * [taylor]: Taking taylor expansion of 0.5 in x 11.828 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 11.828 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 11.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 11.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 11.829 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.829 * [taylor]: Taking taylor expansion of 1.0 in x 11.829 * [taylor]: Taking taylor expansion of 1.0 in x 11.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.829 * [taylor]: Taking taylor expansion of -1 in x 11.829 * [taylor]: Taking taylor expansion of x in x 11.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.829 * [taylor]: Taking taylor expansion of -1 in x 11.829 * [taylor]: Taking taylor expansion of x in x 11.883 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 11.883 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 11.883 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 11.883 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 11.883 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.883 * [taylor]: Taking taylor expansion of 0.5 in x 11.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 11.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 11.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 11.884 * [taylor]: Taking taylor expansion of 1.0 in x 11.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 11.884 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 11.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 11.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 11.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.884 * [taylor]: Taking taylor expansion of 1.0 in x 11.884 * [taylor]: Taking taylor expansion of 1.0 in x 11.884 * [taylor]: Taking taylor expansion of (* x x) in x 11.884 * [taylor]: Taking taylor expansion of x in x 11.884 * [taylor]: Taking taylor expansion of x in x 11.887 * [taylor]: Taking taylor expansion of 1.0 in x 11.901 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 11.901 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 11.901 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 11.901 * [taylor]: Taking taylor expansion of 0.5 in x 11.902 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 11.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 11.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 11.902 * [taylor]: Taking taylor expansion of 1.0 in x 11.902 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 11.902 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 11.902 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 11.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 11.902 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 11.902 * [taylor]: Taking taylor expansion of 1.0 in x 11.902 * [taylor]: Taking taylor expansion of 1.0 in x 11.902 * [taylor]: Taking taylor expansion of (* x x) in x 11.902 * [taylor]: Taking taylor expansion of x in x 11.902 * [taylor]: Taking taylor expansion of x in x 11.905 * [taylor]: Taking taylor expansion of 1.0 in x 12.397 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 12.397 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 12.397 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 12.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 12.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 12.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 12.397 * [taylor]: Taking taylor expansion of 1.0 in x 12.397 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 12.397 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 12.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 12.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 12.398 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.398 * [taylor]: Taking taylor expansion of 1.0 in x 12.398 * [taylor]: Taking taylor expansion of 1.0 in x 12.398 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.398 * [taylor]: Taking taylor expansion of x in x 12.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.398 * [taylor]: Taking taylor expansion of x in x 12.401 * [taylor]: Taking taylor expansion of 1.0 in x 12.403 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.403 * [taylor]: Taking taylor expansion of 0.5 in x 12.405 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 12.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 12.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 12.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 12.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 12.405 * [taylor]: Taking taylor expansion of 1.0 in x 12.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 12.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 12.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 12.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 12.406 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.406 * [taylor]: Taking taylor expansion of 1.0 in x 12.406 * [taylor]: Taking taylor expansion of 1.0 in x 12.406 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.406 * [taylor]: Taking taylor expansion of x in x 12.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.406 * [taylor]: Taking taylor expansion of x in x 12.409 * [taylor]: Taking taylor expansion of 1.0 in x 12.411 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.411 * [taylor]: Taking taylor expansion of 0.5 in x 12.490 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 12.490 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 12.490 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 12.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 12.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 12.490 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 12.490 * [taylor]: Taking taylor expansion of 1.0 in x 12.490 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 12.490 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 12.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 12.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 12.490 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.490 * [taylor]: Taking taylor expansion of 1.0 in x 12.490 * [taylor]: Taking taylor expansion of 1.0 in x 12.490 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.490 * [taylor]: Taking taylor expansion of -1 in x 12.490 * [taylor]: Taking taylor expansion of x in x 12.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.490 * [taylor]: Taking taylor expansion of -1 in x 12.490 * [taylor]: Taking taylor expansion of x in x 12.493 * [taylor]: Taking taylor expansion of 1.0 in x 12.495 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.496 * [taylor]: Taking taylor expansion of 0.5 in x 12.497 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 12.497 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 12.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 12.497 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 12.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 12.497 * [taylor]: Taking taylor expansion of 1.0 in x 12.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 12.497 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 12.497 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 12.497 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 12.497 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.497 * [taylor]: Taking taylor expansion of 1.0 in x 12.497 * [taylor]: Taking taylor expansion of 1.0 in x 12.497 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.497 * [taylor]: Taking taylor expansion of -1 in x 12.497 * [taylor]: Taking taylor expansion of x in x 12.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.498 * [taylor]: Taking taylor expansion of -1 in x 12.498 * [taylor]: Taking taylor expansion of x in x 12.501 * [taylor]: Taking taylor expansion of 1.0 in x 12.503 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.503 * [taylor]: Taking taylor expansion of 0.5 in x 12.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 12.583 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 12.583 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 12.583 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 12.583 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.583 * [taylor]: Taking taylor expansion of 0.5 in x 12.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 12.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 12.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 12.583 * [taylor]: Taking taylor expansion of 1.0 in x 12.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 12.584 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 12.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 12.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 12.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.584 * [taylor]: Taking taylor expansion of 1.0 in x 12.584 * [taylor]: Taking taylor expansion of 1.0 in x 12.584 * [taylor]: Taking taylor expansion of (* x x) in x 12.584 * [taylor]: Taking taylor expansion of x in x 12.584 * [taylor]: Taking taylor expansion of x in x 12.587 * [taylor]: Taking taylor expansion of 1.0 in x 12.595 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 12.595 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 12.595 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 12.595 * [taylor]: Taking taylor expansion of 0.5 in x 12.596 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 12.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 12.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 12.596 * [taylor]: Taking taylor expansion of 1.0 in x 12.596 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 12.596 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 12.596 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 12.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 12.596 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 12.596 * [taylor]: Taking taylor expansion of 1.0 in x 12.596 * [taylor]: Taking taylor expansion of 1.0 in x 12.596 * [taylor]: Taking taylor expansion of (* x x) in x 12.596 * [taylor]: Taking taylor expansion of x in x 12.596 * [taylor]: Taking taylor expansion of x in x 12.599 * [taylor]: Taking taylor expansion of 1.0 in x 13.106 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 13.106 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.106 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 13.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 13.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 13.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 13.107 * [taylor]: Taking taylor expansion of 1.0 in x 13.107 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 13.107 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 13.107 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 13.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 13.107 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.107 * [taylor]: Taking taylor expansion of 1.0 in x 13.107 * [taylor]: Taking taylor expansion of 1.0 in x 13.107 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.107 * [taylor]: Taking taylor expansion of x in x 13.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.107 * [taylor]: Taking taylor expansion of x in x 13.110 * [taylor]: Taking taylor expansion of 1.0 in x 13.112 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.112 * [taylor]: Taking taylor expansion of 0.5 in x 13.114 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.114 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 13.114 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 13.114 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 13.114 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 13.114 * [taylor]: Taking taylor expansion of 1.0 in x 13.114 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 13.114 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 13.114 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 13.114 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 13.114 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.114 * [taylor]: Taking taylor expansion of 1.0 in x 13.114 * [taylor]: Taking taylor expansion of 1.0 in x 13.114 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.114 * [taylor]: Taking taylor expansion of x in x 13.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.115 * [taylor]: Taking taylor expansion of x in x 13.118 * [taylor]: Taking taylor expansion of 1.0 in x 13.120 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.120 * [taylor]: Taking taylor expansion of 0.5 in x 13.199 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 13.199 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.200 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 13.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 13.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 13.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 13.200 * [taylor]: Taking taylor expansion of 1.0 in x 13.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 13.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 13.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 13.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 13.200 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.200 * [taylor]: Taking taylor expansion of 1.0 in x 13.200 * [taylor]: Taking taylor expansion of 1.0 in x 13.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.200 * [taylor]: Taking taylor expansion of -1 in x 13.200 * [taylor]: Taking taylor expansion of x in x 13.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.200 * [taylor]: Taking taylor expansion of -1 in x 13.200 * [taylor]: Taking taylor expansion of x in x 13.203 * [taylor]: Taking taylor expansion of 1.0 in x 13.205 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.206 * [taylor]: Taking taylor expansion of 0.5 in x 13.207 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 13.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 13.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 13.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 13.207 * [taylor]: Taking taylor expansion of 1.0 in x 13.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 13.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 13.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 13.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 13.208 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.208 * [taylor]: Taking taylor expansion of 1.0 in x 13.208 * [taylor]: Taking taylor expansion of 1.0 in x 13.208 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.208 * [taylor]: Taking taylor expansion of -1 in x 13.208 * [taylor]: Taking taylor expansion of x in x 13.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.208 * [taylor]: Taking taylor expansion of -1 in x 13.208 * [taylor]: Taking taylor expansion of x in x 13.211 * [taylor]: Taking taylor expansion of 1.0 in x 13.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.213 * [taylor]: Taking taylor expansion of 0.5 in x 13.292 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 13.292 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 13.292 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 13.292 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 13.292 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.292 * [taylor]: Taking taylor expansion of 0.5 in x 13.293 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 13.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 13.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 13.293 * [taylor]: Taking taylor expansion of 1.0 in x 13.293 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 13.293 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 13.293 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 13.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 13.293 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.294 * [taylor]: Taking taylor expansion of 1.0 in x 13.294 * [taylor]: Taking taylor expansion of 1.0 in x 13.294 * [taylor]: Taking taylor expansion of (* x x) in x 13.294 * [taylor]: Taking taylor expansion of x in x 13.294 * [taylor]: Taking taylor expansion of x in x 13.297 * [taylor]: Taking taylor expansion of 1.0 in x 13.305 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 13.305 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 13.305 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.305 * [taylor]: Taking taylor expansion of 0.5 in x 13.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 13.306 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 13.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 13.306 * [taylor]: Taking taylor expansion of 1.0 in x 13.306 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 13.306 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 13.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 13.306 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 13.306 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.306 * [taylor]: Taking taylor expansion of 1.0 in x 13.306 * [taylor]: Taking taylor expansion of 1.0 in x 13.306 * [taylor]: Taking taylor expansion of (* x x) in x 13.306 * [taylor]: Taking taylor expansion of x in x 13.306 * [taylor]: Taking taylor expansion of x in x 13.309 * [taylor]: Taking taylor expansion of 1.0 in x 13.803 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 13.803 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.803 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 13.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 13.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 13.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 13.803 * [taylor]: Taking taylor expansion of 1.0 in x 13.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 13.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 13.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 13.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 13.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.803 * [taylor]: Taking taylor expansion of 1.0 in x 13.803 * [taylor]: Taking taylor expansion of 1.0 in x 13.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.803 * [taylor]: Taking taylor expansion of x in x 13.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.804 * [taylor]: Taking taylor expansion of x in x 13.814 * [taylor]: Taking taylor expansion of 1.0 in x 13.816 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.816 * [taylor]: Taking taylor expansion of 0.5 in x 13.817 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 13.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 13.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 13.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 13.817 * [taylor]: Taking taylor expansion of 1.0 in x 13.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 13.818 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 13.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 13.818 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 13.818 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.818 * [taylor]: Taking taylor expansion of 1.0 in x 13.818 * [taylor]: Taking taylor expansion of 1.0 in x 13.818 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.818 * [taylor]: Taking taylor expansion of x in x 13.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.818 * [taylor]: Taking taylor expansion of x in x 13.821 * [taylor]: Taking taylor expansion of 1.0 in x 13.823 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.823 * [taylor]: Taking taylor expansion of 0.5 in x 13.902 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 13.902 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.902 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 13.902 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 13.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 13.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 13.902 * [taylor]: Taking taylor expansion of 1.0 in x 13.902 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 13.902 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 13.902 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 13.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 13.902 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.902 * [taylor]: Taking taylor expansion of 1.0 in x 13.902 * [taylor]: Taking taylor expansion of 1.0 in x 13.902 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.902 * [taylor]: Taking taylor expansion of -1 in x 13.902 * [taylor]: Taking taylor expansion of x in x 13.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.903 * [taylor]: Taking taylor expansion of -1 in x 13.903 * [taylor]: Taking taylor expansion of x in x 13.906 * [taylor]: Taking taylor expansion of 1.0 in x 13.908 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.908 * [taylor]: Taking taylor expansion of 0.5 in x 13.909 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 13.909 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 13.909 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 13.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 13.909 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 13.909 * [taylor]: Taking taylor expansion of 1.0 in x 13.909 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 13.909 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 13.910 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 13.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 13.910 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 13.910 * [taylor]: Taking taylor expansion of 1.0 in x 13.910 * [taylor]: Taking taylor expansion of 1.0 in x 13.910 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.910 * [taylor]: Taking taylor expansion of -1 in x 13.910 * [taylor]: Taking taylor expansion of x in x 13.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.910 * [taylor]: Taking taylor expansion of -1 in x 13.910 * [taylor]: Taking taylor expansion of x in x 13.913 * [taylor]: Taking taylor expansion of 1.0 in x 13.915 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 13.915 * [taylor]: Taking taylor expansion of 0.5 in x 13.993 * * * [progress]: simplifying candidates 14.000 * [simplify]: Simplifying using # : (fma (pow 1.0 3) (pow 1.0 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3))))) (fma (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3))) (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3)) (* (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3)))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3)) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3))))) (fma (- (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3))) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (* (pow (sqrt 0.5) 3) (pow (sqrt 0.5) 3)) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))))) (fma (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))))) (fma (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (pow 1.0 3) 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x)))) 3) (+ (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow 1.0 6)) (pow 1.0 12)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (+ (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow 1.0 6))) (+ (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow 1.0 6)) (+ (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1.0 3)) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1.0 3)) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1.0 3)) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1.0 3)) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1.0 3)) (- 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1.0 (hypot 1.0 x))))) 3/2) (* (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) 3/2 (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (* (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) 3/2 (pow (sqrt 0.5) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (fma 1.5 (/ (* (pow x 2) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 5)) (- (fma 3.0 (/ (* (pow x 2) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 4)) (fma 1.5 (/ (* (pow x 2) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 3)) 1.0)) (fma 1.0 (pow (sqrt 0.5) 6) (fma 3.0 (/ (* (pow x 4) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 6)) (fma 1.0 (/ (pow (sqrt 0.5) 6) (pow (sqrt 1.0) 3)) (fma 1.875 (/ (* (pow x 4) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 7)) (fma 1.125 (/ (* (pow x 4) (pow (sqrt 0.5) 6)) (pow (sqrt 1.0) 5)) (fma 3.0 (/ (pow (sqrt 0.5) 6) (pow (sqrt 1.0) 2)) (* 3.0 (/ (pow (sqrt 0.5) 6) (sqrt 1.0))))))))))) (- (- 1.0 (* 3.0 (/ (pow (sqrt 0.5) 6) (pow x 2)))) (fma 3.0 (/ (pow (sqrt 0.5) 6) x) (* 1.0 (pow (sqrt 0.5) 6)))) (fma 3.0 (/ (pow (sqrt 0.5) 6) x) (- 1.0 (fma 3.0 (/ (pow (sqrt 0.5) 6) (pow x 2)) (* 1.0 (pow (sqrt 0.5) 6))))) (- (- (+ (+ (* 0.375 (* (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (+ (* 0.3125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6))) (* 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)))))) (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (pow (sqrt 0.5) 3))) (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 7))) (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6)))))) (* 0.75 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 3)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)))) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (- (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)) (* 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x)))) (- (- (+ (+ (* 0.375 (* (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (+ (* 0.3125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6))) (* 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)))))) (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (pow (sqrt 0.5) 3))) (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 7))) (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6)))))) (* 0.75 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 3)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)))) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (- (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)) (* 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x)))) (- (- (+ (+ (* 0.375 (* (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (+ (* 0.3125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6))) (* 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)))))) (* (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)) (pow (sqrt 0.5) 3))) (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 7))) (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6)))))) (* 0.75 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 3)) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)))) (fma 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (- (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)) (* 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x)))) 14.135 * * * [progress]: adding candidates to table 14.450 * [progress]: [Phase 3 of 3] Extracting. 14.450 * * [regime]: Finding splitpoints for: (# # # # #) 14.453 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 14.453 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 14.492 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 14.514 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 14.555 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 14.582 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 14.613 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 14.638 * * * * [regimes]: Trying to branch on x from (# # # # #) 14.681 * * * [regime]: Found split indices: #