14.329 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * [simplify]: Sending expressions to egg_math: (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 0.035 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.039 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.085 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.085 * [taylor]: Taking taylor expansion of 0.5 in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.086 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.086 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* x x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.098 * [taylor]: Taking taylor expansion of 0.5 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.099 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.099 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.099 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [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 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.327 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.327 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.379 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.384 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.385 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.429 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.429 * [taylor]: Taking taylor expansion of 0.5 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (* x x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.438 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.439 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.439 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.614 * [taylor]: Taking taylor expansion of 0.5 in x 0.615 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.620 * [taylor]: Taking taylor expansion of 0.5 in x 0.640 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.640 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.646 * [taylor]: Taking taylor expansion of 0.5 in x 0.646 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.652 * [taylor]: Taking taylor expansion of 0.5 in x 0.679 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.679 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.679 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (* x x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.682 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (* x x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.754 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.754 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.754 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 0.764 * [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 0.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.776 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.777 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (* x x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.779 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (* x x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.793 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.809 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.809 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.809 * [taylor]: Taking taylor expansion of -1 in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.810 * [taylor]: Taking taylor expansion of -1 in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.812 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.812 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.827 * * * [progress]: simplifying candidates 0.829 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 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))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 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))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.829 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (fma (sqrt h0) (sqrt h0) (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (fma 1 h0 (- (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))))) (fma (- (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma 1 h0 (- (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1)))) (fma (- (sqrt (+ h0 (/ h0 (hypot h0 h2))))) (sqrt h1) (* (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt h1))) (fma 1 h0 (- (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))))) (fma (- (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (fma 1 h0 (- (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1))) (fma (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 1 (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 1)) (expm1 (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (log1p (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (/ (exp h0) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (log (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (exp (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (* (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (pow h0 3) (pow (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 3)) (+ (* h0 h0) (+ (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (* h0 h0) (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (+ h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (+ (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (expm1 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (log1p (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (log (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt h1) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (* h1 (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)))) (sqrt (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))))) (sqrt (- h0 (/ h0 (hypot h0 h2)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (expm1 (+ h0 (/ h0 (hypot h0 h2)))) (log1p (+ h0 (/ h0 (hypot h0 h2)))) (* (exp h0) (exp (/ h0 (hypot h0 h2)))) (log (+ h0 (/ h0 (hypot h0 h2)))) (exp (+ h0 (/ h0 (hypot h0 h2)))) (* (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (cbrt (+ h0 (/ h0 (hypot h0 h2))))) (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (* (* (+ h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2)))) (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)) (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2))))) (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))) (- h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2))) (expm1 (hypot h0 h2)) (log1p (hypot h0 h2)) (+ (* h0 h0) (* h2 h2)) (log (hypot h0 h2)) (exp (hypot h0 h2)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2)) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2)) (sqrt (hypot h0 h2)) (sqrt (hypot h0 h2)) (- (+ (* h3 (* (/ (* (pow h2 2) (sqrt h1)) (pow (sqrt h0) 3)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))) (+ (* h4 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 6)) (sqrt (/ 1 (pow (+ (* h0 (/ 1 (sqrt h0))) h0) 3))))) h0)) (+ (* (sqrt (+ (* h0 (/ 1 (sqrt h0))) h0)) (sqrt h1)) (* h5 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 5)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))))) (- (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) h0) (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) (* (sqrt h0) (sqrt h1)))) (- (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) h0)) (* (sqrt h0) (sqrt h1))) (- (+ (* (sqrt (+ (* h0 (/ 1 (sqrt h0))) h0)) (sqrt h1)) (* h5 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 5)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0)))))) (+ (* h4 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 6)) (sqrt (/ 1 (pow (+ (* h0 (/ 1 (sqrt h0))) h0) 3))))) (* h3 (* (/ (* (pow h2 2) (sqrt h1)) (pow (sqrt h0) 3)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))))) (- (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) (* (sqrt h0) (sqrt h1))) (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3))))) (- (* (sqrt h0) (sqrt h1)) (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))))) (- (+ (* h0 (/ 1 (sqrt h0))) (+ (* h7 (/ (pow h2 4) (pow (sqrt h0) 5))) h0)) (* h1 (/ (pow h2 2) (pow (sqrt h0) 3)))) (- (+ h0 (* h0 (/ 1 h2))) (* h1 (/ 1 (pow h2 3)))) (- (+ h0 (* h1 (/ 1 (pow h2 3)))) (* h0 (/ 1 h2))) (- (+ (sqrt h0) (* 1/2 (/ (pow h2 2) (sqrt h0)))) (* 1/8 (/ (pow h2 4) (pow (sqrt h0) 3)))) (- (+ h2 (* h1 (/ 1 h2))) (* h6 (/ 1 (pow h2 3)))) (- (* h6 (/ 1 (pow h2 3))) (+ h2 (* h1 (/ 1 h2)))) 0.836 * * [simplify]: iteration 0 : 496 enodes (cost 1013 ) 0.844 * * [simplify]: iteration 1 : 1734 enodes (cost 765 ) 0.876 * * [simplify]: iteration 2 : 5001 enodes (cost 762 ) 0.880 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 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))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma 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)) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.881 * * * [progress]: adding candidates to table 1.104 * * [progress]: iteration 2 / 4 1.104 * * * [progress]: picking best candidate 1.119 * * * * [pick]: Picked # 1.119 * * * [progress]: localizing error 1.133 * * * [progress]: generating rewritten candidates 1.133 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.133 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3 2 2) 1.155 * * * [progress]: generating series expansions 1.155 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.156 * [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 1.156 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.156 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.156 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.156 * [taylor]: Taking taylor expansion of -0.5 in x 1.156 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.156 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.156 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.156 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.156 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (* x x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.160 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.160 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.160 * [taylor]: Taking taylor expansion of -0.5 in x 1.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.160 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.160 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.160 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (* x x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [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 1.245 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.245 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.245 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.245 * [taylor]: Taking taylor expansion of -0.5 in x 1.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 1.249 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) 1.249 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.249 * [taylor]: Taking taylor expansion of -0.5 in x 1.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.249 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [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 1.273 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.274 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.274 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.274 * [taylor]: Taking taylor expansion of -0.5 in x 1.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.274 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.274 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.274 * [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 -1 in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 1.278 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) 1.278 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (* -0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.278 * [taylor]: Taking taylor expansion of -0.5 in x 1.278 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.278 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.278 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.278 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.278 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.297 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.297 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.297 * [taylor]: Taking taylor expansion of 0.5 in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.298 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.298 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (* x x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.306 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.306 * [taylor]: Taking taylor expansion of 0.5 in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.306 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.306 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.307 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (* x x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.482 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.487 * [taylor]: Taking taylor expansion of 0.5 in x 1.487 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.488 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.493 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.493 * [taylor]: Taking taylor expansion of 0.5 in x 1.513 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.513 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.513 * [taylor]: Taking taylor expansion of 1.0 in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.513 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.518 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.518 * [taylor]: Taking taylor expansion of 0.5 in x 1.519 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.519 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.519 * [taylor]: Taking taylor expansion of -1 in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.520 * [taylor]: Taking taylor expansion of -1 in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.531 * [taylor]: Taking taylor expansion of 0.5 in x 1.551 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.552 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.552 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.552 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.552 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.552 * [taylor]: Taking taylor expansion of (* x x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.555 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.555 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.555 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.555 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.555 * [taylor]: Taking taylor expansion of 1.0 in x 1.555 * [taylor]: Taking taylor expansion of 1.0 in x 1.555 * [taylor]: Taking taylor expansion of (* x x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.592 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.592 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.595 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.622 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.647 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3 2 2) 1.647 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.647 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.647 * [taylor]: Taking taylor expansion of 1.0 in x 1.647 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of (* x x) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (* x x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.687 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.687 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.688 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.688 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.688 * [taylor]: Taking taylor expansion of 1.0 in x 1.688 * [taylor]: Taking taylor expansion of 1.0 in x 1.688 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.719 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.719 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.719 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.719 * [taylor]: Taking taylor expansion of -1 in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.723 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.744 * * * [progress]: simplifying candidates 1.746 * [simplify]: Simplifying using # : (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 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))))) 1.746 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (log1p (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (* h0 h0) (log (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (exp (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2))))) (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (fma h0 h0 (* (- h1) (+ h0 (/ h0 (hypot h0 h2)))))) (expm1 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (log1p (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (log (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt h1) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (* h1 (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)))) (sqrt (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))))) (sqrt (- h0 (/ h0 (hypot h0 h2)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (expm1 (/ h0 (hypot h0 h2))) (log1p (/ h0 (hypot h0 h2))) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (expm1 (/ h0 (hypot h0 h2))) (log1p (/ h0 (hypot h0 h2))) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (- (+ (* h3 (/ (pow h2 2) (pow (sqrt h0) 3))) h1) (+ (* h1 (/ 1 (sqrt h0))) (* h4 (/ (pow h2 4) (pow (sqrt h0) 5))))) (- (+ h1 (* h3 (/ 1 (pow h2 3)))) (* h1 (/ 1 h2))) (- (+ h1 (* h1 (/ 1 h2))) (* h3 (/ 1 (pow h2 3)))) (- (+ (* (sqrt (+ (* h0 (/ 1 (sqrt h0))) h0)) (sqrt h1)) (* h4 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 5)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0)))))) (+ (* h5 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 6)) (sqrt (/ 1 (pow (+ (* h0 (/ 1 (sqrt h0))) h0) 3))))) (* h3 (* (/ (* (pow h2 2) (sqrt h1)) (pow (sqrt h0) 3)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))))) (- (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) (* (sqrt h0) (sqrt h1))) (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3))))) (- (* (sqrt h0) (sqrt h1)) (+ (* h6 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h7 (/ (pow h2 4) (pow (sqrt h0) 5)))) (* h1 (/ (pow h2 2) (pow (sqrt h0) 3)))) (- (+ (* h7 (/ 1 (pow h2 5))) (* h0 (/ 1 h2))) (* h1 (/ 1 (pow h2 3)))) (- (* h1 (/ 1 (pow h2 3))) (+ (* h0 (/ 1 h2)) (* h7 (/ 1 (pow h2 5))))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h7 (/ (pow h2 4) (pow (sqrt h0) 5)))) (* h1 (/ (pow h2 2) (pow (sqrt h0) 3)))) (- (+ (* h7 (/ 1 (pow h2 5))) (* h0 (/ 1 h2))) (* h1 (/ 1 (pow h2 3)))) (- (* h1 (/ 1 (pow h2 3))) (+ (* h0 (/ 1 h2)) (* h7 (/ 1 (pow h2 5))))) 1.751 * * [simplify]: iteration 0 : 416 enodes (cost 637 ) 1.758 * * [simplify]: iteration 1 : 1550 enodes (cost 603 ) 1.785 * * [simplify]: iteration 2 : 5002 enodes (cost 596 ) 1.789 * [simplify]: Simplified to: (expm1 (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 1.0) (log (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (- (+ (* (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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 1.789 * * * [progress]: adding candidates to table 2.126 * * [progress]: iteration 3 / 4 2.126 * * * [progress]: picking best candidate 2.147 * * * * [pick]: Picked # 2.147 * * * [progress]: localizing error 2.164 * * * [progress]: generating rewritten candidates 2.164 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 3) 2.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 3 3 2) 2.238 * * * [progress]: generating series expansions 2.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.239 * [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 2.239 * [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 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 2.239 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 2.239 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.239 * [taylor]: Taking taylor expansion of 0.5 in x 2.240 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 2.240 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 2.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.240 * [taylor]: Taking taylor expansion of 1.0 in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.240 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.240 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.240 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.240 * [taylor]: Taking taylor expansion of 1.0 in x 2.240 * [taylor]: Taking taylor expansion of 1.0 in x 2.240 * [taylor]: Taking taylor expansion of (* x x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.243 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [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 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 2.257 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 2.257 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.257 * [taylor]: Taking taylor expansion of 0.5 in x 2.258 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 2.258 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 2.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.258 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.258 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of (* x x) in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of 1.0 in x 3.224 * [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 3.225 * [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 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [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 3.225 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 3.225 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 3.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.225 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.225 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.225 * [taylor]: Taking taylor expansion of x in x 3.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.225 * [taylor]: Taking taylor expansion of x in x 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.231 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.231 * [taylor]: Taking taylor expansion of 0.5 in x 3.232 * [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 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [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 3.232 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 3.232 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 3.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.232 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.232 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.232 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.233 * [taylor]: Taking taylor expansion of x in x 3.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.233 * [taylor]: Taking taylor expansion of x in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.239 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.239 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.239 * [taylor]: Taking taylor expansion of 0.5 in x 3.312 * [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 3.312 * [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 3.312 * [taylor]: Taking taylor expansion of 1.0 in x 3.312 * [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 3.312 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 3.313 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 3.313 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.313 * [taylor]: Taking taylor expansion of 1.0 in x 3.313 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.313 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.313 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.313 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.313 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.313 * [taylor]: Taking taylor expansion of 1.0 in x 3.313 * [taylor]: Taking taylor expansion of 1.0 in x 3.313 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.313 * [taylor]: Taking taylor expansion of -1 in x 3.313 * [taylor]: Taking taylor expansion of x in x 3.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.313 * [taylor]: Taking taylor expansion of -1 in x 3.313 * [taylor]: Taking taylor expansion of x in x 3.316 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.320 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.320 * [taylor]: Taking taylor expansion of 0.5 in x 3.320 * [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 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.320 * [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 3.320 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 3.320 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 3.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.320 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.320 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.321 * [taylor]: Taking taylor expansion of -1 in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.321 * [taylor]: Taking taylor expansion of -1 in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.327 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.327 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.327 * [taylor]: Taking taylor expansion of 0.5 in x 3.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.400 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 3.400 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.400 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.400 * [taylor]: Taking taylor expansion of 0.5 in x 3.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.401 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.401 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (* x x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.411 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 3.411 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.411 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.411 * [taylor]: Taking taylor expansion of 0.5 in x 3.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.412 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.412 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.412 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.412 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of (* x x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.414 * [taylor]: Taking taylor expansion of 1.0 in x 3.883 * [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 3.883 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.883 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.883 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.883 * [taylor]: Taking taylor expansion of 1.0 in x 3.883 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.883 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.883 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.883 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.883 * [taylor]: Taking taylor expansion of 1.0 in x 3.883 * [taylor]: Taking taylor expansion of 1.0 in x 3.883 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.886 * [taylor]: Taking taylor expansion of 1.0 in x 3.888 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.888 * [taylor]: Taking taylor expansion of 0.5 in x 3.889 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.889 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.889 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.889 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.889 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.889 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.889 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.890 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.892 * [taylor]: Taking taylor expansion of 1.0 in x 3.894 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.894 * [taylor]: Taking taylor expansion of 0.5 in x 3.965 * [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 3.965 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.965 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.965 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.965 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.965 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.965 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.965 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.966 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.966 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.966 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.966 * [taylor]: Taking taylor expansion of -1 in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.966 * [taylor]: Taking taylor expansion of -1 in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.971 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.971 * [taylor]: Taking taylor expansion of 0.5 in x 3.972 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 3.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.972 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.972 * [taylor]: Taking taylor expansion of -1 in x 3.972 * [taylor]: Taking taylor expansion of x in x 3.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.973 * [taylor]: Taking taylor expansion of -1 in x 3.973 * [taylor]: Taking taylor expansion of x in x 3.975 * [taylor]: Taking taylor expansion of 1.0 in x 3.977 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.977 * [taylor]: Taking taylor expansion of 0.5 in x 4.049 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 3) 4.049 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in (x) around 0 4.049 * [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 4.049 * [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))))) 4.049 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.049 * [taylor]: Taking taylor expansion of 0.5 in x 4.049 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.050 * [taylor]: Taking taylor expansion of 1.0 in x 4.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.050 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.050 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.050 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.050 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.050 * [taylor]: Taking taylor expansion of 1.0 in x 4.050 * [taylor]: Taking taylor expansion of 1.0 in x 4.050 * [taylor]: Taking taylor expansion of (* x x) in x 4.050 * [taylor]: Taking taylor expansion of x in x 4.050 * [taylor]: Taking taylor expansion of x in x 4.052 * [taylor]: Taking taylor expansion of 1.0 in x 4.052 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.052 * [taylor]: Taking taylor expansion of 1.0 in x 4.052 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.052 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.052 * [taylor]: Taking taylor expansion of 0.5 in x 4.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.053 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.053 * [taylor]: Taking taylor expansion of 1.0 in x 4.053 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.053 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.053 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.053 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.053 * [taylor]: Taking taylor expansion of 1.0 in x 4.053 * [taylor]: Taking taylor expansion of 1.0 in x 4.053 * [taylor]: Taking taylor expansion of (* x x) in x 4.053 * [taylor]: Taking taylor expansion of x in x 4.053 * [taylor]: Taking taylor expansion of x in x 4.056 * [taylor]: Taking taylor expansion of 1.0 in x 4.061 * [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 4.061 * [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))))) 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.061 * [taylor]: Taking taylor expansion of 0.5 in x 4.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.062 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.062 * [taylor]: Taking taylor expansion of 1.0 in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.062 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.062 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.062 * [taylor]: Taking taylor expansion of 1.0 in x 4.062 * [taylor]: Taking taylor expansion of 1.0 in x 4.062 * [taylor]: Taking taylor expansion of (* x x) in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.064 * [taylor]: Taking taylor expansion of 1.0 in x 4.064 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.065 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.065 * [taylor]: Taking taylor expansion of 0.5 in x 4.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.065 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.065 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.065 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.065 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.066 * [taylor]: Taking taylor expansion of (* x x) in x 4.066 * [taylor]: Taking taylor expansion of x in x 4.066 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.615 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 4.615 * [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 4.615 * [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)))) 4.615 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.615 * [taylor]: Taking taylor expansion of 0.5 in x 4.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.615 * [taylor]: Taking taylor expansion of 1.0 in x 4.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.615 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.615 * [taylor]: Taking taylor expansion of 1.0 in x 4.615 * [taylor]: Taking taylor expansion of 1.0 in x 4.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.616 * [taylor]: Taking taylor expansion of x in x 4.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.616 * [taylor]: Taking taylor expansion of x in x 4.618 * [taylor]: Taking taylor expansion of 1.0 in x 4.618 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 4.618 * [taylor]: Taking taylor expansion of 1.0 in x 4.618 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.619 * [taylor]: Taking taylor expansion of 1.0 in x 4.619 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.619 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.619 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.619 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.619 * [taylor]: Taking taylor expansion of 1.0 in x 4.619 * [taylor]: Taking taylor expansion of 1.0 in x 4.619 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.619 * [taylor]: Taking taylor expansion of x in x 4.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.619 * [taylor]: Taking taylor expansion of x in x 4.622 * [taylor]: Taking taylor expansion of 1.0 in x 4.628 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.628 * [taylor]: Taking taylor expansion of 0.5 in x 4.628 * [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 4.629 * [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)))) 4.629 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.629 * [taylor]: Taking taylor expansion of 0.5 in x 4.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.629 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.629 * [taylor]: Taking taylor expansion of 1.0 in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.629 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.629 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.629 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.629 * [taylor]: Taking taylor expansion of 1.0 in x 4.629 * [taylor]: Taking taylor expansion of 1.0 in x 4.629 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.632 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.632 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.632 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.633 * [taylor]: Taking taylor expansion of x in x 4.635 * [taylor]: Taking taylor expansion of 1.0 in x 4.637 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.637 * [taylor]: Taking taylor expansion of 0.5 in x 4.679 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 4.680 * [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 4.680 * [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)))) 4.680 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.680 * [taylor]: Taking taylor expansion of 0.5 in x 4.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.680 * [taylor]: Taking taylor expansion of 1.0 in x 4.680 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.680 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.680 * [taylor]: Taking taylor expansion of 1.0 in x 4.680 * [taylor]: Taking taylor expansion of 1.0 in x 4.680 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.680 * [taylor]: Taking taylor expansion of -1 in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.680 * [taylor]: Taking taylor expansion of -1 in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.683 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 4.683 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.683 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.683 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.683 * [taylor]: Taking taylor expansion of -1 in x 4.683 * [taylor]: Taking taylor expansion of x in x 4.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.684 * [taylor]: Taking taylor expansion of -1 in x 4.684 * [taylor]: Taking taylor expansion of x in x 4.686 * [taylor]: Taking taylor expansion of 1.0 in x 4.688 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.688 * [taylor]: Taking taylor expansion of 0.5 in x 4.689 * [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 4.689 * [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)))) 4.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.689 * [taylor]: Taking taylor expansion of 0.5 in x 4.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.689 * [taylor]: Taking taylor expansion of 1.0 in x 4.689 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.689 * [taylor]: Taking taylor expansion of 1.0 in x 4.689 * [taylor]: Taking taylor expansion of 1.0 in x 4.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.689 * [taylor]: Taking taylor expansion of -1 in x 4.689 * [taylor]: Taking taylor expansion of x in x 4.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.689 * [taylor]: Taking taylor expansion of -1 in x 4.690 * [taylor]: Taking taylor expansion of x in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.692 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.692 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.692 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.692 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.692 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.692 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.692 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.692 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.693 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.693 * [taylor]: Taking taylor expansion of -1 in x 4.693 * [taylor]: Taking taylor expansion of x in x 4.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.693 * [taylor]: Taking taylor expansion of -1 in x 4.693 * [taylor]: Taking taylor expansion of x in x 4.695 * [taylor]: Taking taylor expansion of 1.0 in x 4.697 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.697 * [taylor]: Taking taylor expansion of 0.5 in x 4.744 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 3 3 2) 4.744 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 4.744 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.744 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.744 * [taylor]: Taking taylor expansion of 0.5 in x 4.744 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.745 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.745 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of 1.0 in x 4.745 * [taylor]: Taking taylor expansion of (* x x) in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.748 * [taylor]: Taking taylor expansion of 1.0 in x 4.753 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.753 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.753 * [taylor]: Taking taylor expansion of 0.5 in x 4.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.753 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.754 * [taylor]: Taking taylor expansion of 1.0 in x 4.754 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.754 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.754 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.754 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.754 * [taylor]: Taking taylor expansion of 1.0 in x 4.754 * [taylor]: Taking taylor expansion of 1.0 in x 4.754 * [taylor]: Taking taylor expansion of (* x x) in x 4.754 * [taylor]: Taking taylor expansion of x in x 4.754 * [taylor]: Taking taylor expansion of x in x 4.756 * [taylor]: Taking taylor expansion of 1.0 in x 4.921 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 4.921 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.921 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.921 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.921 * [taylor]: Taking taylor expansion of 1.0 in x 4.921 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.921 * [taylor]: Taking taylor expansion of 1.0 in x 4.921 * [taylor]: Taking taylor expansion of 1.0 in x 4.921 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.921 * [taylor]: Taking taylor expansion of x in x 4.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.921 * [taylor]: Taking taylor expansion of x in x 4.924 * [taylor]: Taking taylor expansion of 1.0 in x 4.926 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.926 * [taylor]: Taking taylor expansion of 0.5 in x 4.926 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.926 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.926 * [taylor]: Taking taylor expansion of 1.0 in x 4.926 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.926 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.927 * [taylor]: Taking taylor expansion of 1.0 in x 4.927 * [taylor]: Taking taylor expansion of 1.0 in x 4.927 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.927 * [taylor]: Taking taylor expansion of x in x 4.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.927 * [taylor]: Taking taylor expansion of x in x 4.929 * [taylor]: Taking taylor expansion of 1.0 in x 4.931 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.931 * [taylor]: Taking taylor expansion of 0.5 in x 4.955 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 4.956 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.956 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.956 * [taylor]: Taking taylor expansion of 1.0 in x 4.956 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.956 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.956 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.956 * [taylor]: Taking taylor expansion of 1.0 in x 4.956 * [taylor]: Taking taylor expansion of 1.0 in x 4.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.956 * [taylor]: Taking taylor expansion of -1 in x 4.956 * [taylor]: Taking taylor expansion of x in x 4.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.956 * [taylor]: Taking taylor expansion of -1 in x 4.956 * [taylor]: Taking taylor expansion of x in x 4.959 * [taylor]: Taking taylor expansion of 1.0 in x 4.961 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.961 * [taylor]: Taking taylor expansion of 0.5 in x 4.961 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.962 * [taylor]: Taking taylor expansion of 1.0 in x 4.962 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.962 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.962 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.962 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.962 * [taylor]: Taking taylor expansion of 1.0 in x 4.962 * [taylor]: Taking taylor expansion of 1.0 in x 4.962 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.962 * [taylor]: Taking taylor expansion of -1 in x 4.962 * [taylor]: Taking taylor expansion of x in x 4.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.962 * [taylor]: Taking taylor expansion of -1 in x 4.962 * [taylor]: Taking taylor expansion of x in x 4.965 * [taylor]: Taking taylor expansion of 1.0 in x 4.967 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.967 * [taylor]: Taking taylor expansion of 0.5 in x 4.987 * * * [progress]: simplifying candidates 4.996 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))))) (fma (- (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (- (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1 (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 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1.0))))))) (+ (* 1.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) x)) (+ (* 0.375 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0)))) (* (pow (sqrt 1.0) 3) (pow (sqrt 0.5) 3)))) (- (+ (* 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))) (- (+ (* 0.5 (/ 1 (sqrt 1.0))) (+ (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))) (+ (* 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))))) 0.5)))) (+ (* 0.25 (/ (pow x 2) (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))))) (* 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)))) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ 1 x)) 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.5) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.5 (/ 1 x))))) (- (+ (* (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)))))) 5.001 * [simplify]: Sending expressions to egg_math: (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (pow (cbrt (sqrt (* 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h2))))) (- (+ (* (sqrt (+ (* h0 (/ 1 (sqrt h0))) h0)) (sqrt h1)) (* h12 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 5)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0)))))) (+ (* h13 (* (/ (* (pow h2 4) (sqrt h1)) (pow (sqrt h0) 6)) (sqrt (/ 1 (pow (+ (* h0 (/ 1 (sqrt h0))) h0) 3))))) (* h14 (* (/ (* (pow h2 2) (sqrt h1)) (pow (sqrt h0) 3)) (sqrt (/ 1 (+ (* h0 (/ 1 (sqrt h0))) h0))))))) (- (+ (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))) (* (sqrt h0) (sqrt h1))) (* h15 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3))))) (- (* (sqrt h0) (sqrt h1)) (+ (* h15 (/ (sqrt h1) (* (pow h2 2) (pow (sqrt h0) 3)))) (* h1 (/ (sqrt h1) (* h2 (sqrt h0)))))) 5.029 * * [simplify]: iteration 0 : 1168 enodes (cost 6509 ) 5.051 * * [simplify]: iteration 1 : 4825 enodes (cost 4547 ) 5.161 * * [simplify]: iteration 2 : 5001 enodes (cost 4547 ) 5.187 * [simplify]: Simplified to: (- (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) (+ (- 1) 1)) (- (pow 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(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 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1/2) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1/2) (- (- (+ (+ (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (+ (* 1.5 (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 4))) (* 0.75 (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5))))) (* 1.125 (* (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 7)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 9)))))) (+ (+ (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 9))) (+ (* 1.6875 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 8))) (* 0.28125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 10))))) (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 9))) (+ (* 1.125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 9))) (* 0.28125 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6)))))) (fma 0.75 (* (/ (* (pow x 2) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0))) (fma (* 0.9375 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 7))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (* (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))) (+ (* 1.5 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 6))) (* 0.5625 (/ (* (pow x 4) (pow (sqrt 0.5) 3)) (pow (sqrt 1.0) 5)))))) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 1.5 (/ (pow (sqrt 0.5) 3) (* x (sqrt 1.0))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (* (sqrt 1.0) (pow (sqrt 0.5) 3)))))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* x (sqrt 1.0))) (- (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (pow x 2) (sqrt 1.0))) (* (sqrt 1.0) (pow (sqrt 0.5) 3))))) (- (- (+ (+ (* 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)))) (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)))) 0.5))) (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) 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (* 1.0 (sqrt 1.0)) (sqrt 0.5) (- 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))) (* 0.5 (/ 1 x)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 5.191 * * * [progress]: adding candidates to table 5.645 * * [progress]: iteration 4 / 4 5.645 * * * [progress]: picking best candidate 5.663 * * * * [pick]: Picked # 5.663 * * * [progress]: localizing error 5.685 * * * [progress]: generating rewritten candidates 5.685 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.707 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 3) 5.721 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 3 3 2) 5.741 * * * [progress]: generating series expansions 5.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.742 * [approximate]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2)) in (x) around 0 5.742 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2)) in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2) in x 5.742 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 5.742 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.742 * [taylor]: Taking taylor expansion of 3/2 in x 5.742 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.742 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.742 * [taylor]: Taking taylor expansion of 0.5 in x 5.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.742 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.742 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of 1.0 in x 5.742 * [taylor]: Taking taylor expansion of (* x x) in x 5.742 * [taylor]: Taking taylor expansion of x in x 5.742 * [taylor]: Taking taylor expansion of x in x 5.745 * [taylor]: Taking taylor expansion of 1.0 in x 5.758 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2)) in x 5.758 * [taylor]: Taking taylor expansion of 1.0 in x 5.758 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2) in x 5.758 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 5.758 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.758 * [taylor]: Taking taylor expansion of 3/2 in x 5.758 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.758 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.758 * [taylor]: Taking taylor expansion of 0.5 in x 5.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.758 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.758 * [taylor]: Taking taylor expansion of 1.0 in x 5.758 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.758 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.758 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.758 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.758 * [taylor]: Taking taylor expansion of 1.0 in x 5.758 * [taylor]: Taking taylor expansion of 1.0 in x 5.758 * [taylor]: Taking taylor expansion of (* x x) in x 5.758 * [taylor]: Taking taylor expansion of x in x 5.758 * [taylor]: Taking taylor expansion of x in x 5.761 * [taylor]: Taking taylor expansion of 1.0 in x 6.158 * [approximate]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2)) in (x) around 0 6.158 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2)) in x 6.158 * [taylor]: Taking taylor expansion of 1.0 in x 6.158 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2) in x 6.158 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))))) in x 6.158 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.158 * [taylor]: Taking taylor expansion of 3/2 in x 6.158 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.158 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.158 * [taylor]: Taking taylor expansion of 0.5 in x 6.158 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.159 * [taylor]: Taking taylor expansion of 1.0 in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.159 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.159 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.159 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.159 * [taylor]: Taking taylor expansion of 1.0 in x 6.159 * [taylor]: Taking taylor expansion of 1.0 in x 6.159 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.159 * [taylor]: Taking taylor expansion of x in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.159 * [taylor]: Taking taylor expansion of x in x 6.162 * [taylor]: Taking taylor expansion of 1.0 in x 6.164 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2)) in x 6.164 * [taylor]: Taking taylor expansion of 1.0 in x 6.164 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2) in x 6.164 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))))) in x 6.164 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.164 * [taylor]: Taking taylor expansion of 3/2 in x 6.164 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.164 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.164 * [taylor]: Taking taylor expansion of 0.5 in x 6.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.164 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.164 * [taylor]: Taking taylor expansion of 1.0 in x 6.164 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.164 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.164 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.164 * [taylor]: Taking taylor expansion of 1.0 in x 6.164 * [taylor]: Taking taylor expansion of 1.0 in x 6.164 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.164 * [taylor]: Taking taylor expansion of x in x 6.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.165 * [taylor]: Taking taylor expansion of x in x 6.167 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [approximate]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2)) in (x) around 0 6.211 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2)) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2) in x 6.211 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))))) in x 6.211 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.211 * [taylor]: Taking taylor expansion of 3/2 in x 6.211 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.211 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.211 * [taylor]: Taking taylor expansion of 0.5 in x 6.211 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.211 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.211 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.212 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.212 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.212 * [taylor]: Taking taylor expansion of 1.0 in x 6.212 * [taylor]: Taking taylor expansion of 1.0 in x 6.212 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.212 * [taylor]: Taking taylor expansion of -1 in x 6.212 * [taylor]: Taking taylor expansion of x in x 6.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.212 * [taylor]: Taking taylor expansion of -1 in x 6.212 * [taylor]: Taking taylor expansion of x in x 6.215 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of (- 1.0 (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2)) in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2) in x 6.217 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))))) in x 6.217 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.217 * [taylor]: Taking taylor expansion of 3/2 in x 6.217 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.217 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.217 * [taylor]: Taking taylor expansion of 0.5 in x 6.217 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.217 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.217 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.217 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.217 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.217 * [taylor]: Taking taylor expansion of -1 in x 6.217 * [taylor]: Taking taylor expansion of x in x 6.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.218 * [taylor]: Taking taylor expansion of -1 in x 6.218 * [taylor]: Taking taylor expansion of x in x 6.220 * [taylor]: Taking taylor expansion of 1.0 in x 6.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.258 * [approximate]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2) in (x) around 0 6.258 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2) in x 6.258 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.258 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.258 * [taylor]: Taking taylor expansion of 3/2 in x 6.258 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.258 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.258 * [taylor]: Taking taylor expansion of 0.5 in x 6.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.258 * [taylor]: Taking taylor expansion of 1.0 in x 6.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.258 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.258 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.258 * [taylor]: Taking taylor expansion of 1.0 in x 6.258 * [taylor]: Taking taylor expansion of 1.0 in x 6.258 * [taylor]: Taking taylor expansion of (* x x) in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 6.273 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 3/2) in x 6.273 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.273 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.273 * [taylor]: Taking taylor expansion of 3/2 in x 6.273 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.273 * [taylor]: Taking taylor expansion of 0.5 in x 6.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.273 * [taylor]: Taking taylor expansion of 1.0 in x 6.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.273 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.274 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.274 * [taylor]: Taking taylor expansion of 1.0 in x 6.274 * [taylor]: Taking taylor expansion of 1.0 in x 6.274 * [taylor]: Taking taylor expansion of (* x x) in x 6.274 * [taylor]: Taking taylor expansion of x in x 6.274 * [taylor]: Taking taylor expansion of x in x 6.276 * [taylor]: Taking taylor expansion of 1.0 in x 6.604 * [approximate]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2) in (x) around 0 6.604 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2) in x 6.604 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))))) in x 6.604 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.604 * [taylor]: Taking taylor expansion of 3/2 in x 6.604 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.604 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.604 * [taylor]: Taking taylor expansion of 0.5 in x 6.604 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.604 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.604 * [taylor]: Taking taylor expansion of 1.0 in x 6.604 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.604 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.604 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.604 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.604 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.605 * [taylor]: Taking taylor expansion of 1.0 in x 6.605 * [taylor]: Taking taylor expansion of 1.0 in x 6.605 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.605 * [taylor]: Taking taylor expansion of x in x 6.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.605 * [taylor]: Taking taylor expansion of x in x 6.616 * [taylor]: Taking taylor expansion of 1.0 in x 6.618 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 3/2) in x 6.618 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))))) in x 6.618 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)))) in x 6.618 * [taylor]: Taking taylor expansion of 3/2 in x 6.618 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0))) in x 6.618 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.618 * [taylor]: Taking taylor expansion of 0.5 in x 6.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.618 * [taylor]: Taking taylor expansion of 1.0 in x 6.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.618 * [taylor]: Taking taylor expansion of 1.0 in x 6.619 * [taylor]: Taking taylor expansion of 1.0 in x 6.619 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.619 * [taylor]: Taking taylor expansion of x in x 6.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.619 * [taylor]: Taking taylor expansion of x in x 6.621 * [taylor]: Taking taylor expansion of 1.0 in x 6.648 * [approximate]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2) in (x) around 0 6.648 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2) in x 6.648 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))))) in x 6.648 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.648 * [taylor]: Taking taylor expansion of 3/2 in x 6.648 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.648 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.648 * [taylor]: Taking taylor expansion of 0.5 in x 6.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.648 * [taylor]: Taking taylor expansion of 1.0 in x 6.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.648 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.648 * [taylor]: Taking taylor expansion of 1.0 in x 6.648 * [taylor]: Taking taylor expansion of 1.0 in x 6.648 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.648 * [taylor]: Taking taylor expansion of -1 in x 6.648 * [taylor]: Taking taylor expansion of x in x 6.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.649 * [taylor]: Taking taylor expansion of -1 in x 6.649 * [taylor]: Taking taylor expansion of x in x 6.651 * [taylor]: Taking taylor expansion of 1.0 in x 6.653 * [taylor]: Taking taylor expansion of (pow (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 3/2) in x 6.653 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))))) in x 6.653 * [taylor]: Taking taylor expansion of (* 3/2 (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)))) in x 6.653 * [taylor]: Taking taylor expansion of 3/2 in x 6.654 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0))) in x 6.654 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.654 * [taylor]: Taking taylor expansion of 0.5 in x 6.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.654 * [taylor]: Taking taylor expansion of 1.0 in x 6.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.654 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.654 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.654 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.654 * [taylor]: Taking taylor expansion of 1.0 in x 6.654 * [taylor]: Taking taylor expansion of 1.0 in x 6.654 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.654 * [taylor]: Taking taylor expansion of -1 in x 6.654 * [taylor]: Taking taylor expansion of x in x 6.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.654 * [taylor]: Taking taylor expansion of -1 in x 6.654 * [taylor]: Taking taylor expansion of x in x 6.657 * [taylor]: Taking taylor expansion of 1.0 in x 6.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 3) 6.684 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in (x) around 0 6.684 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.684 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 6.684 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.684 * [taylor]: Taking taylor expansion of 0.5 in x 6.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.684 * [taylor]: Taking taylor expansion of 1.0 in x 6.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.684 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.685 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.685 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.685 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.685 * [taylor]: Taking taylor expansion of 1.0 in x 6.685 * [taylor]: Taking taylor expansion of 1.0 in x 6.685 * [taylor]: Taking taylor expansion of (* x x) in x 6.685 * [taylor]: Taking taylor expansion of x in x 6.685 * [taylor]: Taking taylor expansion of x in x 6.687 * [taylor]: Taking taylor expansion of 1.0 in x 6.687 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.687 * [taylor]: Taking taylor expansion of 1.0 in x 6.687 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.687 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.687 * [taylor]: Taking taylor expansion of 0.5 in x 6.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.688 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.688 * [taylor]: Taking taylor expansion of 1.0 in x 6.688 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.688 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.688 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.688 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.688 * [taylor]: Taking taylor expansion of 1.0 in x 6.688 * [taylor]: Taking taylor expansion of 1.0 in x 6.688 * [taylor]: Taking taylor expansion of (* x x) in x 6.688 * [taylor]: Taking taylor expansion of x in x 6.688 * [taylor]: Taking taylor expansion of x in x 6.691 * [taylor]: Taking taylor expansion of 1.0 in x 6.702 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 6.703 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 6.703 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.703 * [taylor]: Taking taylor expansion of 0.5 in x 6.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.703 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.703 * [taylor]: Taking taylor expansion of 1.0 in x 6.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.703 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.703 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.703 * [taylor]: Taking taylor expansion of 1.0 in x 6.703 * [taylor]: Taking taylor expansion of 1.0 in x 6.703 * [taylor]: Taking taylor expansion of (* x x) in x 6.703 * [taylor]: Taking taylor expansion of x in x 6.703 * [taylor]: Taking taylor expansion of x in x 6.706 * [taylor]: Taking taylor expansion of 1.0 in x 6.706 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.706 * [taylor]: Taking taylor expansion of 1.0 in x 6.706 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.706 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.706 * [taylor]: Taking taylor expansion of 0.5 in x 6.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.706 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.706 * [taylor]: Taking taylor expansion of 1.0 in x 6.706 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.706 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.707 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.707 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.707 * [taylor]: Taking taylor expansion of 1.0 in x 6.707 * [taylor]: Taking taylor expansion of 1.0 in x 6.707 * [taylor]: Taking taylor expansion of (* x x) in x 6.707 * [taylor]: Taking taylor expansion of x in x 6.707 * [taylor]: Taking taylor expansion of x in x 6.709 * [taylor]: Taking taylor expansion of 1.0 in x 7.052 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 7.052 * [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 7.052 * [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)))) 7.052 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.052 * [taylor]: Taking taylor expansion of 0.5 in x 7.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.052 * [taylor]: Taking taylor expansion of 1.0 in x 7.052 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.052 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.052 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.052 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.052 * [taylor]: Taking taylor expansion of 1.0 in x 7.052 * [taylor]: Taking taylor expansion of 1.0 in x 7.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.052 * [taylor]: Taking taylor expansion of x in x 7.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.053 * [taylor]: Taking taylor expansion of x in x 7.055 * [taylor]: Taking taylor expansion of 1.0 in x 7.055 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.055 * [taylor]: Taking taylor expansion of 1.0 in x 7.055 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.055 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.055 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.055 * [taylor]: Taking taylor expansion of 1.0 in x 7.055 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.055 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.056 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.056 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.056 * [taylor]: Taking taylor expansion of 1.0 in x 7.056 * [taylor]: Taking taylor expansion of 1.0 in x 7.056 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.056 * [taylor]: Taking taylor expansion of x in x 7.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.056 * [taylor]: Taking taylor expansion of x in x 7.058 * [taylor]: Taking taylor expansion of 1.0 in x 7.060 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.060 * [taylor]: Taking taylor expansion of 0.5 in x 7.061 * [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 7.061 * [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)))) 7.061 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.061 * [taylor]: Taking taylor expansion of 0.5 in x 7.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.061 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.061 * [taylor]: Taking taylor expansion of 1.0 in x 7.061 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.061 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.061 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.061 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.061 * [taylor]: Taking taylor expansion of 1.0 in x 7.061 * [taylor]: Taking taylor expansion of 1.0 in x 7.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.061 * [taylor]: Taking taylor expansion of x in x 7.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.062 * [taylor]: Taking taylor expansion of x in x 7.064 * [taylor]: Taking taylor expansion of 1.0 in x 7.064 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.064 * [taylor]: Taking taylor expansion of 1.0 in x 7.064 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.064 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.064 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.064 * [taylor]: Taking taylor expansion of 1.0 in x 7.064 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.064 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.064 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.065 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.065 * [taylor]: Taking taylor expansion of 1.0 in x 7.065 * [taylor]: Taking taylor expansion of 1.0 in x 7.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.065 * [taylor]: Taking taylor expansion of x in x 7.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.065 * [taylor]: Taking taylor expansion of x in x 7.067 * [taylor]: Taking taylor expansion of 1.0 in x 7.069 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.069 * [taylor]: Taking taylor expansion of 0.5 in x 7.112 * [approximate]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 7.112 * [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 7.112 * [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)))) 7.112 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.112 * [taylor]: Taking taylor expansion of 0.5 in x 7.112 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.112 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.112 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.112 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.112 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.112 * [taylor]: Taking taylor expansion of -1 in x 7.112 * [taylor]: Taking taylor expansion of x in x 7.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.113 * [taylor]: Taking taylor expansion of -1 in x 7.113 * [taylor]: Taking taylor expansion of x in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.122 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.122 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.122 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.122 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.122 * [taylor]: Taking taylor expansion of -1 in x 7.122 * [taylor]: Taking taylor expansion of x in x 7.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.123 * [taylor]: Taking taylor expansion of -1 in x 7.123 * [taylor]: Taking taylor expansion of x in x 7.126 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.128 * [taylor]: Taking taylor expansion of 0.5 in x 7.128 * [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 7.128 * [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)))) 7.128 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.129 * [taylor]: Taking taylor expansion of 0.5 in x 7.129 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.129 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.129 * [taylor]: Taking taylor expansion of 1.0 in x 7.129 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.129 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.129 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.129 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.129 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.129 * [taylor]: Taking taylor expansion of 1.0 in x 7.129 * [taylor]: Taking taylor expansion of 1.0 in x 7.129 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.129 * [taylor]: Taking taylor expansion of -1 in x 7.129 * [taylor]: Taking taylor expansion of x in x 7.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.129 * [taylor]: Taking taylor expansion of -1 in x 7.129 * [taylor]: Taking taylor expansion of x in x 7.132 * [taylor]: Taking taylor expansion of 1.0 in x 7.132 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.132 * [taylor]: Taking taylor expansion of 1.0 in x 7.132 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.132 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.132 * [taylor]: Taking taylor expansion of 1.0 in x 7.132 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.132 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.132 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.132 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.132 * [taylor]: Taking taylor expansion of 1.0 in x 7.132 * [taylor]: Taking taylor expansion of 1.0 in x 7.132 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.132 * [taylor]: Taking taylor expansion of -1 in x 7.132 * [taylor]: Taking taylor expansion of x in x 7.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.133 * [taylor]: Taking taylor expansion of -1 in x 7.133 * [taylor]: Taking taylor expansion of x in x 7.135 * [taylor]: Taking taylor expansion of 1.0 in x 7.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.137 * [taylor]: Taking taylor expansion of 0.5 in x 7.178 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 3 3 2) 7.179 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 7.179 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.179 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.179 * [taylor]: Taking taylor expansion of 0.5 in x 7.179 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.179 * [taylor]: Taking taylor expansion of 1.0 in x 7.179 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.179 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.180 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.180 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.180 * [taylor]: Taking taylor expansion of 1.0 in x 7.180 * [taylor]: Taking taylor expansion of 1.0 in x 7.180 * [taylor]: Taking taylor expansion of (* x x) in x 7.180 * [taylor]: Taking taylor expansion of x in x 7.180 * [taylor]: Taking taylor expansion of x in x 7.182 * [taylor]: Taking taylor expansion of 1.0 in x 7.188 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.188 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.188 * [taylor]: Taking taylor expansion of 0.5 in x 7.188 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.189 * [taylor]: Taking taylor expansion of 1.0 in x 7.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.189 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.189 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.189 * [taylor]: Taking taylor expansion of 1.0 in x 7.189 * [taylor]: Taking taylor expansion of 1.0 in x 7.189 * [taylor]: Taking taylor expansion of (* x x) in x 7.189 * [taylor]: Taking taylor expansion of x in x 7.189 * [taylor]: Taking taylor expansion of x in x 7.191 * [taylor]: Taking taylor expansion of 1.0 in x 7.364 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 7.364 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.364 * [taylor]: Taking taylor expansion of 1.0 in x 7.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.364 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.364 * [taylor]: Taking taylor expansion of 1.0 in x 7.364 * [taylor]: Taking taylor expansion of 1.0 in x 7.364 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.364 * [taylor]: Taking taylor expansion of x in x 7.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.364 * [taylor]: Taking taylor expansion of x in x 7.367 * [taylor]: Taking taylor expansion of 1.0 in x 7.369 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.369 * [taylor]: Taking taylor expansion of 0.5 in x 7.369 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.369 * [taylor]: Taking taylor expansion of 1.0 in x 7.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.370 * [taylor]: Taking taylor expansion of 1.0 in x 7.370 * [taylor]: Taking taylor expansion of 1.0 in x 7.370 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.370 * [taylor]: Taking taylor expansion of x in x 7.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.377 * [taylor]: Taking taylor expansion of x in x 7.380 * [taylor]: Taking taylor expansion of 1.0 in x 7.382 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.382 * [taylor]: Taking taylor expansion of 0.5 in x 7.403 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 7.403 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.403 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.403 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.403 * [taylor]: Taking taylor expansion of 1.0 in x 7.403 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.403 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.403 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.403 * [taylor]: Taking taylor expansion of 1.0 in x 7.403 * [taylor]: Taking taylor expansion of 1.0 in x 7.403 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.403 * [taylor]: Taking taylor expansion of -1 in x 7.403 * [taylor]: Taking taylor expansion of x in x 7.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.404 * [taylor]: Taking taylor expansion of -1 in x 7.404 * [taylor]: Taking taylor expansion of x in x 7.407 * [taylor]: Taking taylor expansion of 1.0 in x 7.409 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.409 * [taylor]: Taking taylor expansion of 0.5 in x 7.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.410 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.410 * [taylor]: Taking taylor expansion of 1.0 in x 7.410 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.410 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.410 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.410 * [taylor]: Taking taylor expansion of 1.0 in x 7.410 * [taylor]: Taking taylor expansion of 1.0 in x 7.410 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.410 * [taylor]: Taking taylor expansion of -1 in x 7.410 * [taylor]: Taking taylor expansion of x in x 7.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.410 * [taylor]: Taking taylor expansion of -1 in x 7.410 * [taylor]: Taking taylor expansion of x in x 7.413 * [taylor]: Taking taylor expansion of 1.0 in x 7.415 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.415 * [taylor]: Taking taylor expansion of 0.5 in x 7.436 * * * [progress]: simplifying candidates 7.440 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3/2) (pow 0.5 3/2)))) (fma (- (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3/2)) (pow 0.5 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(hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 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(sqrt 1.0))) 1.0) (pow 0.5 3))))))) (+ (* 0.046875 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 0.5))))) (* 0.75 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow 0.5 3))))))) (+ (pow 0.5 3/2) (+ (* 1.5 (* (/ 1 x) (sqrt (pow 0.5 3)))) (* 0.375 (* (/ 1 (pow x 2)) (sqrt (pow 0.5 3)))))) (- (+ (pow 0.5 3/2) (* 0.375 (* (/ 1 (pow x 2)) (sqrt (pow 0.5 3))))) (* 1.5 (* (/ 1 x) (sqrt (pow 0.5 3))))) (- (+ (* 0.5 (/ 1 (sqrt 1.0))) (+ (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))) (+ (* 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))))) 0.5)))) (+ (* 0.25 (/ (pow x 2) (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))))) (* 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)))) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) (+ (* 0.5 (/ 1 x)) 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 0.5) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.5 (/ 1 x))))) (- (+ (* (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)))))) 7.442 * [simplify]: Sending expressions to egg_math: (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (pow (+ h0 (/ h0 (hypot h0 h1))) 3/2) (pow h2 3/2)))) (fma (- (pow (+ h0 (/ h0 (hypot h0 h1))) 3/2)) (pow h2 3/2) (* (pow (+ h0 (/ h0 (hypot h0 h1))) 3/2) (pow h2 3/2))) (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (* (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)))))) (fma (- (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2))) (* (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2))) (* (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (* (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (cbrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2))))) (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (sqrt (pow (* h2 (+ h0 (/ h0 (hypot h0 h1)))) 3/2)) (sqrt (pow (* h2 (+ h0 (/ h0 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(hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (exp (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (log (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (exp (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (* (cbrt (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (cbrt (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)))) (cbrt (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (pow (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) 3) (sqrt (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (sqrt (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (- (pow (pow 1.0 3) 3) (pow (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2) 3)) (fma (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2) (+ (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (pow 1.0 6)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (fma (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2) (pow 1.0 6)) (+ (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (fma 1.0 (sqrt 1.0) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (- (pow (sqrt 1.0) 3) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (fma 1.0 (sqrt 1.0) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (- (pow (sqrt 1.0) 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (fma 1.0 (sqrt 1.0) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (- (pow (sqrt 1.0) 3) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (fma 1.0 (sqrt 1.0) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (- (pow (sqrt 1.0) 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (- (sqrt (pow 1.0 3)) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (+ (sqrt (pow 1.0 3)) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (- (sqrt (pow 1.0 3)) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (+ (pow 1.0 3/2) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (- (pow 1.0 3/2) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (+ (pow 1.0 3/2) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (- (pow 1.0 3/2) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4)) (- (pow 1.0 3) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (- (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (expm1 (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (log1p (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (log (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (log (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (log (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) 3/2 3/2 (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt 3/2) (cbrt 3/2))) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 3/2)) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow 0.5 3/2) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3/2) (log (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (exp (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (* (cbrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (cbrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2))) (cbrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (pow (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2) 3) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (sqrt (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2)) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/4) (expm1 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (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 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2)) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3/2) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (- (fma 0.75 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow 0.5 3)))) (fma 0.046875 (* (/ (* (sqrt 2.0) (pow x 4)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0)) (pow (* 0.5 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 3/2)) (fma 0.28125 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (sqrt (/ (pow 0.5 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.5625 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow 0.5 3))))))) (- (- 1.0 (pow 0.5 3/2)) (* (sqrt (pow 0.5 3)) (+ (* 1.5 (/ 1 x)) (* 0.375 (/ 1 (pow x 2)))))) (fma (* 1.5 (sqrt (pow 0.5 3))) (/ 1 x) (- 1.0 (fma (* 0.375 (/ 1 (pow x 2))) (sqrt (pow 0.5 3)) (pow 0.5 3/2)))) (+ (pow (* 0.5 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 3/2) (- (fma 0.28125 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (sqrt (/ (pow 0.5 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.5625 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow 0.5 3)))))) (fma 0.046875 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 0.5)))) (* 0.75 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow 0.5 3)))))))) (fma (sqrt (pow 0.5 3)) (+ (* 1.5 (/ 1 x)) (* 0.375 (/ 1 (pow x 2)))) (pow 0.5 3/2)) (fma (sqrt (pow 0.5 3)) (- (* 0.375 (/ 1 (pow x 2))) (* 1.5 (/ 1 x))) (pow 0.5 3/2)) (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)))) 0.5))) (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) 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (* 1.0 (sqrt 1.0)) (sqrt 0.5) (- 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))) (* 0.5 (/ 1 x)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 7.551 * * * [progress]: adding candidates to table 7.967 * [progress]: [Phase 3 of 3] Extracting. 7.967 * * [regime]: Finding splitpoints for: (# # # # # #) 7.970 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 7.970 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 8.006 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 8.037 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 8.082 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 8.110 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 8.148 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 8.170 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 8.207 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# #) 8.221 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 8.261 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# #) 8.276 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 8.317 * * * * [regimes]: Trying to branch on x from (# # # # # #) 8.363 * * * [regime]: Found split indices: #