21.771 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.033 * * [simplify]: iteration 1 : 19 enodes (cost 12 ) 0.035 * * [simplify]: iteration 2 : 24 enodes (cost 12 ) 0.038 * * [simplify]: iteration 3 : 30 enodes (cost 12 ) 0.042 * * [simplify]: iteration 4 : 32 enodes (cost 12 ) 0.045 * * [simplify]: iteration 5 : 38 enodes (cost 12 ) 0.050 * * [simplify]: iteration 6 : 41 enodes (cost 12 ) 0.057 * * [simplify]: iteration done : 41 enodes (cost 12 ) 0.057 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.075 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.076 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.076 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.076 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* x x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.087 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.087 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* x x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.332 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.337 * [taylor]: Taking taylor expansion of 0.5 in x 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.393 * [taylor]: Taking taylor expansion of 0.5 in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.399 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.436 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.436 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (* x x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [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 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* x x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.485 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.539 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 0.553 * * [simplify]: iteration 0 : 184 enodes (cost 1680 ) 0.590 * * [simplify]: iteration 1 : 421 enodes (cost 1305 ) 0.702 * * [simplify]: iteration 2 : 1360 enodes (cost 1080 ) 1.088 * * [simplify]: iteration done : 5001 enodes (cost 1080 ) 1.089 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 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 (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 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 (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (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 (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 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 (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (fma 0.03125 (* (sqrt (/ 1 (pow (+ 1.0 (/ 1.0 (sqrt 1.0))) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) 1.0)) (fma (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0)))))) 0.1875 (* (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5)))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5)))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) 1.089 * * * [progress]: adding candidates to table 1.244 * * [progress]: iteration 2 / 4 1.244 * * * [progress]: picking best candidate 1.261 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.272 * * * [progress]: generating rewritten candidates 1.272 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.275 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.277 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 1.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.293 * * * [progress]: generating series expansions 1.293 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.294 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.294 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (* x x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.297 * [taylor]: Taking taylor expansion of 0.5 in x 1.298 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.298 * [taylor]: Taking taylor expansion of 0.5 in x 1.298 * [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 1.370 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 1.370 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.370 * [taylor]: Taking taylor expansion of 0.5 in x 1.370 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.370 * [taylor]: Taking taylor expansion of 0.5 in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.374 * [taylor]: Taking taylor expansion of 0.5 in x 1.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of 0.5 in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.388 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.388 * [taylor]: Taking taylor expansion of 0.5 in x 1.388 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of 0.5 in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.388 * [taylor]: Taking taylor expansion of -1 in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.392 * [taylor]: Taking taylor expansion of 0.5 in x 1.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.392 * [taylor]: Taking taylor expansion of 0.5 in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.392 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.392 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.392 * [taylor]: Taking taylor expansion of -1 in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.393 * [taylor]: Taking taylor expansion of -1 in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.413 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.413 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (* x x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.416 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (* x x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.456 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.456 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.516 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 1.516 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.516 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.516 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.516 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [taylor]: Taking taylor expansion of (* x x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.560 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.560 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.564 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.564 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.593 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.593 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.594 * [taylor]: Taking taylor expansion of -1 in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.597 * [taylor]: Taking taylor expansion of -1 in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.597 * [taylor]: Taking taylor expansion of -1 in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.621 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.621 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.621 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.621 * [taylor]: Taking taylor expansion of 0.5 in x 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.621 * [taylor]: Taking taylor expansion of 0.5 in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.621 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.622 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.622 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.622 * [taylor]: Taking taylor expansion of 1.0 in x 1.622 * [taylor]: Taking taylor expansion of 1.0 in x 1.622 * [taylor]: Taking taylor expansion of (* x x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.625 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.625 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.625 * [taylor]: Taking taylor expansion of 0.5 in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.625 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.650 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.650 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.650 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) 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 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (* x x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.654 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.654 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.654 * [taylor]: Taking taylor expansion of 0.5 in x 1.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.654 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.655 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.655 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (* x x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.668 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.668 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 2.668 * [taylor]: Taking taylor expansion of 0.5 in x 2.668 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.668 * [taylor]: Taking taylor expansion of 0.5 in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.672 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.672 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.672 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.675 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.677 * [taylor]: Taking taylor expansion of 0.5 in x 2.678 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.682 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 2.682 * [taylor]: Taking taylor expansion of 0.5 in x 2.682 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.682 * [taylor]: Taking taylor expansion of 0.5 in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.682 * [taylor]: Taking taylor expansion of x in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.686 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.686 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.686 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.686 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.686 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.686 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.686 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.691 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.691 * [taylor]: Taking taylor expansion of 0.5 in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.828 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.828 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.828 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.828 * [taylor]: Taking taylor expansion of 0.5 in x 2.828 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.828 * [taylor]: Taking taylor expansion of 0.5 in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.828 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.828 * [taylor]: Taking taylor expansion of 1.0 in x 2.828 * [taylor]: Taking taylor expansion of 1.0 in x 2.828 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.828 * [taylor]: Taking taylor expansion of -1 in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.828 * [taylor]: Taking taylor expansion of -1 in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.832 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.832 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.832 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.832 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.832 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.832 * [taylor]: Taking taylor expansion of -1 in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.832 * [taylor]: Taking taylor expansion of -1 in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.837 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.837 * [taylor]: Taking taylor expansion of 0.5 in x 2.838 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.842 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.842 * [taylor]: Taking taylor expansion of 0.5 in x 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.842 * [taylor]: Taking taylor expansion of 0.5 in x 2.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.842 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.842 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.842 * [taylor]: Taking taylor expansion of -1 in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.843 * [taylor]: Taking taylor expansion of -1 in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.846 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.846 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.846 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.846 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.846 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.846 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.846 * [taylor]: Taking taylor expansion of -1 in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.846 * [taylor]: Taking taylor expansion of -1 in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.851 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.851 * [taylor]: Taking taylor expansion of 0.5 in x 2.852 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * * * [progress]: simplifying candidates 2.989 * [simplify]: Simplifying using # : (fma 1.0 1.0 (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log1p (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (/ (exp (* 1.0 1.0)) (exp (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (exp (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (* (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (pow (* 1.0 1.0) 3) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 1.0) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (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 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) 1) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) 1) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 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1.0 (hypot 1.0 x))) 0.5))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 1.0) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (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 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (/ (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (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 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (fma (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (fma 1.0 1.0 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (pow 1.0 4)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (fma 1.0 1.0 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.5) (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.1875 (/ 0.5 (sqrt 1.0)))) (+ (- (/ 0.25 (pow x 3)) (/ 0.5 x)) 0.5) (+ (- (/ 0.5 x) (/ 0.25 (pow x 3))) 0.5) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (/ 0.375 (pow x 5)) (/ 1.0 x)) (/ 0.5 (pow x 3))) (- (/ 0.5 (pow x 3)) (+ (/ 0.375 (pow x 5)) (/ 1.0 x))) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (/ 0.375 (pow x 5)) (/ 1.0 x)) (/ 0.5 (pow x 3))) (- (/ 0.5 (pow x 3)) (+ (/ 0.375 (pow x 5)) (/ 1.0 x))) (fma (* (* 0.0625 (/ (pow x 4) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2))) (/ (sqrt 0.5) (pow 1.0 3))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ 1.0 (/ 1.0 (sqrt 1.0))) 3)))) (/ (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3)) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2)) (/ 0.5 (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0))) (- (fma 0.09375 (* (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (/ (pow x 4) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2))) (/ (sqrt 0.5) (pow 1.0 3))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0)) 0.25 (fma (/ (/ (* (pow x 4) 0.5) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 3)) (* (+ 1.0 (/ 1.0 (sqrt 1.0))) (pow 1.0 3))) 0.03125 (* (/ (* 0.125 (pow x 2)) (/ (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))))))) (+ (fma (/ (* (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (* (pow x 4) (sqrt 0.5))) (* (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2) (pow (sqrt 1.0) 5))) 0.09375 (fma 0.03125 (/ (/ (* (pow x 4) 0.5) (* (pow (sqrt 1.0) 7) (+ 1.0 (/ 1.0 (sqrt 1.0))))) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 3)) (fma (* (* 0.125 (/ (pow x 2) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2))) (/ (sqrt 0.5) (* 1.0 1.0))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ 1.0 (/ 1.0 (sqrt 1.0))) 3)))) (* (/ (pow x 4) (pow (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0) 2)) (/ (sqrt 0.5) (pow (sqrt 1.0) 7))) (/ (* 0.1875 (pow x 4)) (* (pow (sqrt 1.0) 5) (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0))))))) (/ (/ 0.5 (sqrt 1.0)) (fma (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) 1.0)))))) (- (fma 0.25 (/ (sqrt 0.5) (* (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (sqrt 1.0)) (pow x 2))) (fma 0.125 (/ (/ 0.5 (* 1.0 (pow x 2))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.0625 (/ (/ (sqrt 0.5) (pow x 2)) (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (pow (sqrt 1.0) 3))) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))) (fma (/ (/ (sqrt 0.5) x) (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (sqrt 1.0))) 0.25 (/ 0.5 (* (fma (sqrt 1.0) (sqrt 0.5) 1.0) x)))) (+ (* 0.25 (+ (/ (sqrt 0.5) (* (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (sqrt 1.0)) (pow x 2))) (/ (/ (sqrt 0.5) x) (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (sqrt 1.0))))) (+ (fma 0.125 (/ (/ 0.5 (* 1.0 (pow x 2))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.0625 (/ (/ (sqrt 0.5) (pow x 2)) (* (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2) (pow (sqrt 1.0) 3))) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0)))) (/ 0.5 (* (fma (sqrt 1.0) (sqrt 0.5) 1.0) x)))) 4.149 * * * [progress]: adding candidates to table 4.542 * * [progress]: iteration 3 / 4 4.542 * * * [progress]: picking best candidate 4.572 * * * * [pick]: Picked # 4.572 * * * [progress]: localizing error 4.592 * * * [progress]: generating rewritten candidates 4.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.607 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 2) 4.609 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 3 2 2) 4.611 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 4.619 * * * [progress]: generating series expansions 4.619 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.621 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in (x) around 0 4.621 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 4.621 * [taylor]: Taking taylor expansion of 0.875 in x 4.621 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 4.621 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 4.621 * [taylor]: Taking taylor expansion of 0.375 in x 4.621 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.621 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.621 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.621 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.621 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.621 * [taylor]: Taking taylor expansion of 1.0 in x 4.621 * [taylor]: Taking taylor expansion of 1.0 in x 4.621 * [taylor]: Taking taylor expansion of (* x x) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.624 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 4.624 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 4.624 * [taylor]: Taking taylor expansion of 0.375 in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 4.624 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 4.624 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.624 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.624 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.624 * [taylor]: Taking taylor expansion of 1.0 in x 4.624 * [taylor]: Taking taylor expansion of 1.0 in x 4.624 * [taylor]: Taking taylor expansion of (* x x) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 4.629 * [taylor]: Taking taylor expansion of 0.125 in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 4.629 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 4.629 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.629 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.634 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 4.634 * [taylor]: Taking taylor expansion of 0.875 in x 4.634 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 4.634 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 4.634 * [taylor]: Taking taylor expansion of 0.375 in x 4.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.634 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.634 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of 1.0 in x 4.634 * [taylor]: Taking taylor expansion of (* x x) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.637 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 4.638 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 4.638 * [taylor]: Taking taylor expansion of 0.375 in x 4.638 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 4.638 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 4.638 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.638 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.638 * [taylor]: Taking taylor expansion of 1.0 in x 4.638 * [taylor]: Taking taylor expansion of 1.0 in x 4.638 * [taylor]: Taking taylor expansion of (* x x) in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.642 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 4.642 * [taylor]: Taking taylor expansion of 0.125 in x 4.642 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 4.642 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 4.642 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.642 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.642 * [taylor]: Taking taylor expansion of 1.0 in x 4.642 * [taylor]: Taking taylor expansion of 1.0 in x 4.642 * [taylor]: Taking taylor expansion of (* x x) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.974 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in (x) around 0 4.975 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 4.975 * [taylor]: Taking taylor expansion of 0.875 in x 4.975 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 4.975 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.975 * [taylor]: Taking taylor expansion of 0.375 in x 4.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.975 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.975 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.975 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.975 * [taylor]: Taking taylor expansion of 1.0 in x 4.975 * [taylor]: Taking taylor expansion of 1.0 in x 4.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.975 * [taylor]: Taking taylor expansion of x in x 4.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.975 * [taylor]: Taking taylor expansion of x in x 4.978 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 4.978 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 4.978 * [taylor]: Taking taylor expansion of 0.125 in x 4.978 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 4.978 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 4.978 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.978 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.979 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.979 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.979 * [taylor]: Taking taylor expansion of 1.0 in x 4.979 * [taylor]: Taking taylor expansion of 1.0 in x 4.979 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.983 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 4.983 * [taylor]: Taking taylor expansion of 0.375 in x 4.983 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 4.983 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 4.983 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.983 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.983 * [taylor]: Taking taylor expansion of 1.0 in x 4.983 * [taylor]: Taking taylor expansion of 1.0 in x 4.983 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.983 * [taylor]: Taking taylor expansion of x in x 4.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.983 * [taylor]: Taking taylor expansion of x in x 4.986 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 4.986 * [taylor]: Taking taylor expansion of 0.875 in x 4.986 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 4.986 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.986 * [taylor]: Taking taylor expansion of 0.375 in x 4.986 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.987 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.987 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.987 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.987 * [taylor]: Taking taylor expansion of 1.0 in x 4.987 * [taylor]: Taking taylor expansion of 1.0 in x 4.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.987 * [taylor]: Taking taylor expansion of x in x 4.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.987 * [taylor]: Taking taylor expansion of x in x 4.990 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 4.990 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 4.990 * [taylor]: Taking taylor expansion of 0.125 in x 4.990 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 4.990 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 4.990 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.990 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.990 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.990 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.990 * [taylor]: Taking taylor expansion of 1.0 in x 4.990 * [taylor]: Taking taylor expansion of 1.0 in x 4.990 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.990 * [taylor]: Taking taylor expansion of x in x 4.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.991 * [taylor]: Taking taylor expansion of x in x 4.994 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 4.994 * [taylor]: Taking taylor expansion of 0.375 in x 4.994 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 4.994 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 4.994 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.994 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.994 * [taylor]: Taking taylor expansion of 1.0 in x 4.994 * [taylor]: Taking taylor expansion of 1.0 in x 4.994 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.994 * [taylor]: Taking taylor expansion of x in x 5.010 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in (x) around 0 5.010 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 5.010 * [taylor]: Taking taylor expansion of 0.875 in x 5.010 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 5.010 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 5.010 * [taylor]: Taking taylor expansion of 0.125 in x 5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 5.010 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 5.010 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.010 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.010 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.010 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.010 * [taylor]: Taking taylor expansion of 1.0 in x 5.010 * [taylor]: Taking taylor expansion of 1.0 in x 5.010 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.010 * [taylor]: Taking taylor expansion of -1 in x 5.010 * [taylor]: Taking taylor expansion of x in x 5.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.011 * [taylor]: Taking taylor expansion of -1 in x 5.011 * [taylor]: Taking taylor expansion of x in x 5.014 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 5.014 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 5.014 * [taylor]: Taking taylor expansion of 0.375 in x 5.014 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 5.014 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 5.014 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.014 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.014 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.014 * [taylor]: Taking taylor expansion of 1.0 in x 5.014 * [taylor]: Taking taylor expansion of 1.0 in x 5.014 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.014 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.014 * [taylor]: Taking taylor expansion of -1 in x 5.014 * [taylor]: Taking taylor expansion of x in x 5.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.015 * [taylor]: Taking taylor expansion of -1 in x 5.015 * [taylor]: Taking taylor expansion of x in x 5.018 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.018 * [taylor]: Taking taylor expansion of 0.375 in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.018 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.018 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.018 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.018 * [taylor]: Taking taylor expansion of 1.0 in x 5.018 * [taylor]: Taking taylor expansion of 1.0 in x 5.018 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.018 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.018 * [taylor]: Taking taylor expansion of -1 in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.019 * [taylor]: Taking taylor expansion of -1 in x 5.019 * [taylor]: Taking taylor expansion of x in x 5.022 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 5.022 * [taylor]: Taking taylor expansion of 0.875 in x 5.022 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 5.022 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 5.022 * [taylor]: Taking taylor expansion of 0.125 in x 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 5.022 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 5.022 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.022 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.022 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.022 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.022 * [taylor]: Taking taylor expansion of 1.0 in x 5.022 * [taylor]: Taking taylor expansion of 1.0 in x 5.022 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.022 * [taylor]: Taking taylor expansion of -1 in x 5.022 * [taylor]: Taking taylor expansion of x in x 5.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.022 * [taylor]: Taking taylor expansion of -1 in x 5.022 * [taylor]: Taking taylor expansion of x in x 5.026 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 5.026 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 5.026 * [taylor]: Taking taylor expansion of 0.375 in x 5.026 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 5.026 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 5.026 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.026 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.026 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.026 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.026 * [taylor]: Taking taylor expansion of 1.0 in x 5.026 * [taylor]: Taking taylor expansion of 1.0 in x 5.026 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.026 * [taylor]: Taking taylor expansion of -1 in x 5.026 * [taylor]: Taking taylor expansion of x in x 5.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.027 * [taylor]: Taking taylor expansion of -1 in x 5.027 * [taylor]: Taking taylor expansion of x in x 5.030 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.030 * [taylor]: Taking taylor expansion of 0.375 in x 5.030 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.030 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.030 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.030 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.030 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.030 * [taylor]: Taking taylor expansion of 1.0 in x 5.030 * [taylor]: Taking taylor expansion of 1.0 in x 5.030 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.030 * [taylor]: Taking taylor expansion of -1 in x 5.030 * [taylor]: Taking taylor expansion of x in x 5.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.031 * [taylor]: Taking taylor expansion of -1 in x 5.031 * [taylor]: Taking taylor expansion of x in x 5.039 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 2) 5.039 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.039 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.039 * [taylor]: Taking taylor expansion of 1.0 in x 5.039 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.039 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.039 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.039 * [taylor]: Taking taylor expansion of 1.0 in x 5.039 * [taylor]: Taking taylor expansion of 1.0 in x 5.039 * [taylor]: Taking taylor expansion of (* x x) in x 5.039 * [taylor]: Taking taylor expansion of x in x 5.039 * [taylor]: Taking taylor expansion of x in x 5.042 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.042 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of 1.0 in x 5.042 * [taylor]: Taking taylor expansion of (* x x) in x 5.042 * [taylor]: Taking taylor expansion of x in x 5.042 * [taylor]: Taking taylor expansion of x in x 5.088 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.088 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.088 * [taylor]: Taking taylor expansion of 1.0 in x 5.088 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.088 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.088 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.088 * [taylor]: Taking taylor expansion of 1.0 in x 5.088 * [taylor]: Taking taylor expansion of 1.0 in x 5.088 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.088 * [taylor]: Taking taylor expansion of x in x 5.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.088 * [taylor]: Taking taylor expansion of x in x 5.091 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.091 * [taylor]: Taking taylor expansion of 1.0 in x 5.091 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.092 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.092 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.092 * [taylor]: Taking taylor expansion of 1.0 in x 5.092 * [taylor]: Taking taylor expansion of 1.0 in x 5.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.092 * [taylor]: Taking taylor expansion of x in x 5.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.092 * [taylor]: Taking taylor expansion of x in x 5.115 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.115 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.115 * [taylor]: Taking taylor expansion of 1.0 in x 5.115 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.115 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.115 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.115 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.115 * [taylor]: Taking taylor expansion of 1.0 in x 5.115 * [taylor]: Taking taylor expansion of 1.0 in x 5.115 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.115 * [taylor]: Taking taylor expansion of -1 in x 5.115 * [taylor]: Taking taylor expansion of x in x 5.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.116 * [taylor]: Taking taylor expansion of -1 in x 5.116 * [taylor]: Taking taylor expansion of x in x 5.119 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.119 * [taylor]: Taking taylor expansion of 1.0 in x 5.119 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.119 * [taylor]: Taking taylor expansion of 1.0 in x 5.119 * [taylor]: Taking taylor expansion of 1.0 in x 5.119 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.119 * [taylor]: Taking taylor expansion of -1 in x 5.119 * [taylor]: Taking taylor expansion of x in x 5.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.119 * [taylor]: Taking taylor expansion of -1 in x 5.119 * [taylor]: Taking taylor expansion of x in x 5.141 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 3 2 2) 5.142 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.142 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.142 * [taylor]: Taking taylor expansion of 1.0 in x 5.142 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.142 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.142 * [taylor]: Taking taylor expansion of 1.0 in x 5.142 * [taylor]: Taking taylor expansion of 1.0 in x 5.142 * [taylor]: Taking taylor expansion of (* x x) in x 5.142 * [taylor]: Taking taylor expansion of x in x 5.142 * [taylor]: Taking taylor expansion of x in x 5.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.145 * [taylor]: Taking taylor expansion of 1.0 in x 5.145 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.145 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.145 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.145 * [taylor]: Taking taylor expansion of 1.0 in x 5.145 * [taylor]: Taking taylor expansion of 1.0 in x 5.145 * [taylor]: Taking taylor expansion of (* x x) in x 5.145 * [taylor]: Taking taylor expansion of x in x 5.145 * [taylor]: Taking taylor expansion of x in x 5.190 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.190 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.190 * [taylor]: Taking taylor expansion of 1.0 in x 5.190 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.190 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.190 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.190 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.190 * [taylor]: Taking taylor expansion of 1.0 in x 5.190 * [taylor]: Taking taylor expansion of 1.0 in x 5.190 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.190 * [taylor]: Taking taylor expansion of x in x 5.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.191 * [taylor]: Taking taylor expansion of x in x 5.194 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.194 * [taylor]: Taking taylor expansion of 1.0 in x 5.194 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.194 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.194 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.194 * [taylor]: Taking taylor expansion of 1.0 in x 5.194 * [taylor]: Taking taylor expansion of 1.0 in x 5.194 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.216 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.216 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.216 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.216 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.216 * [taylor]: Taking taylor expansion of -1 in x 5.217 * [taylor]: Taking taylor expansion of x in x 5.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.217 * [taylor]: Taking taylor expansion of -1 in x 5.217 * [taylor]: Taking taylor expansion of x in x 5.220 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.220 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.220 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.220 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.220 * [taylor]: Taking taylor expansion of -1 in x 5.220 * [taylor]: Taking taylor expansion of x in x 5.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.221 * [taylor]: Taking taylor expansion of -1 in x 5.221 * [taylor]: Taking taylor expansion of x in x 5.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 5.243 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.243 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.243 * [taylor]: Taking taylor expansion of 1.0 in x 5.243 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.243 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.243 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.243 * [taylor]: Taking taylor expansion of 1.0 in x 5.243 * [taylor]: Taking taylor expansion of 1.0 in x 5.243 * [taylor]: Taking taylor expansion of (* x x) in x 5.243 * [taylor]: Taking taylor expansion of x in x 5.243 * [taylor]: Taking taylor expansion of x in x 5.246 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.246 * [taylor]: Taking taylor expansion of 1.0 in x 5.246 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.246 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.247 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.247 * [taylor]: Taking taylor expansion of 1.0 in x 5.247 * [taylor]: Taking taylor expansion of 1.0 in x 5.247 * [taylor]: Taking taylor expansion of (* x x) in x 5.247 * [taylor]: Taking taylor expansion of x in x 5.247 * [taylor]: Taking taylor expansion of x in x 5.292 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.292 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.292 * [taylor]: Taking taylor expansion of 1.0 in x 5.292 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.292 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.292 * [taylor]: Taking taylor expansion of 1.0 in x 5.292 * [taylor]: Taking taylor expansion of 1.0 in x 5.292 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.292 * [taylor]: Taking taylor expansion of x in x 5.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.292 * [taylor]: Taking taylor expansion of x in x 5.295 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.295 * [taylor]: Taking taylor expansion of 1.0 in x 5.295 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.296 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.296 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.296 * [taylor]: Taking taylor expansion of 1.0 in x 5.296 * [taylor]: Taking taylor expansion of 1.0 in x 5.296 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.296 * [taylor]: Taking taylor expansion of x in x 5.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.296 * [taylor]: Taking taylor expansion of x in x 5.318 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.318 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.318 * [taylor]: Taking taylor expansion of 1.0 in x 5.318 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.318 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.318 * [taylor]: Taking taylor expansion of 1.0 in x 5.318 * [taylor]: Taking taylor expansion of 1.0 in x 5.319 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.319 * [taylor]: Taking taylor expansion of -1 in x 5.319 * [taylor]: Taking taylor expansion of x in x 5.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.319 * [taylor]: Taking taylor expansion of -1 in x 5.319 * [taylor]: Taking taylor expansion of x in x 5.322 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.322 * [taylor]: Taking taylor expansion of 1.0 in x 5.322 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.322 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.322 * [taylor]: Taking taylor expansion of 1.0 in x 5.322 * [taylor]: Taking taylor expansion of 1.0 in x 5.322 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.322 * [taylor]: Taking taylor expansion of -1 in x 5.322 * [taylor]: Taking taylor expansion of x in x 5.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.323 * [taylor]: Taking taylor expansion of -1 in x 5.323 * [taylor]: Taking taylor expansion of x in x 5.351 * * * [progress]: simplifying candidates 5.356 * [simplify]: Simplifying using # : (fma (pow 1.0 3) (pow 1.0 3) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))) (fma (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))) (fma (- (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (fma (- (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))) (fma (pow 1.0 3) (pow 1.0 3) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1))) (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) 1 (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1)) (fma (pow 1.0 3) (pow 1.0 3) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))))) (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))) (fma (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))) (fma (- (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (fma (- (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1))) (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) 1 (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1)) (fma (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))))) (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)))) (fma (* (cbrt (pow (* 1.0 1.0) 3)) (cbrt (pow (* 1.0 1.0) 3))) (cbrt (pow (* 1.0 1.0) 3)) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (* (cbrt (pow (* 1.0 1.0) 3)) (cbrt (pow (* 1.0 1.0) 3))) (cbrt (pow (* 1.0 1.0) 3)) (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))) (fma (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (* (cbrt (pow (* 1.0 1.0) 3)) (cbrt (pow (* 1.0 1.0) 3))) (cbrt (pow (* 1.0 1.0) 3)) (- (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))) (fma (- (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (fma (* (cbrt (pow (* 1.0 1.0) 3)) (cbrt (pow (* 1.0 1.0) 3))) (cbrt (pow (* 1.0 1.0) 3)) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))) (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))) (fma (* (cbrt (pow (* 1.0 1.0) 3)) (cbrt (pow (* 1.0 1.0) 3))) (cbrt (pow (* 1.0 1.0) 3)) (- (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (fma (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 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(pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 5.370 * * [simplify]: iteration 0 : 258 enodes (cost 7363 ) 5.424 * * [simplify]: iteration 1 : 555 enodes (cost 4597 ) 5.586 * * [simplify]: iteration 2 : 2034 enodes (cost 3824 ) 6.148 * * [simplify]: iteration done : 5001 enodes (cost 3824 ) 6.150 * [simplify]: Simplified to: (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 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(/ (* (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 (/ (pow x 2) (pow (sqrt 1.0) 5)) 0.1875 (fma 0.375 (/ (pow x 2) (* 1.0 1.0)) (fma 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.875))) (/ 0.375 (sqrt 1.0))) (+ (fma 0.140625 (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (/ (pow x 4) (pow (sqrt 1.0) 7)) 0.234375 (fma 0.375 (/ (pow x 4) (pow 1.0 3)) (/ 0.125 (pow (sqrt 1.0) 3))))) (/ 0.375 1.0))) (- 0.875 (+ (/ 0.375 x) (/ (/ 0.375 x) x))) (- (+ (/ 0.375 x) 0.875) (/ (/ 0.375 x) x)) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 1.0 x) (- (/ 0.375 (pow x 5)) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 1.0 x) (- (/ 0.375 (pow x 5)) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 1.0 x) (- (/ 0.375 (pow x 5)) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) 6.152 * * * [progress]: adding candidates to table 6.815 * * [progress]: iteration 4 / 4 6.815 * * * [progress]: picking best candidate 6.844 * * * * [pick]: Picked # 6.844 * * * [progress]: localizing error 6.873 * * * [progress]: generating rewritten candidates 6.873 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.919 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2) 6.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 3 2 2) 6.938 * * * [progress]: generating series expansions 6.939 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.940 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in (x) around 0 6.940 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 6.940 * [taylor]: Taking taylor expansion of 0.875 in x 6.940 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 6.940 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 6.940 * [taylor]: Taking taylor expansion of 0.375 in x 6.940 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.940 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.940 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.940 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.940 * [taylor]: Taking taylor expansion of 1.0 in x 6.940 * [taylor]: Taking taylor expansion of 1.0 in x 6.940 * [taylor]: Taking taylor expansion of (* x x) in x 6.940 * [taylor]: Taking taylor expansion of x in x 6.940 * [taylor]: Taking taylor expansion of x in x 6.943 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 6.943 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 6.943 * [taylor]: Taking taylor expansion of 0.375 in x 6.943 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 6.943 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 6.944 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.944 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.944 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.944 * [taylor]: Taking taylor expansion of 1.0 in x 6.944 * [taylor]: Taking taylor expansion of 1.0 in x 6.944 * [taylor]: Taking taylor expansion of (* x x) in x 6.944 * [taylor]: Taking taylor expansion of x in x 6.944 * [taylor]: Taking taylor expansion of x in x 6.948 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 6.948 * [taylor]: Taking taylor expansion of 0.125 in x 6.948 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 6.948 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 6.948 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.948 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.948 * [taylor]: Taking taylor expansion of 1.0 in x 6.948 * [taylor]: Taking taylor expansion of 1.0 in x 6.948 * [taylor]: Taking taylor expansion of (* x x) in x 6.948 * [taylor]: Taking taylor expansion of x in x 6.948 * [taylor]: Taking taylor expansion of x in x 6.954 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 6.954 * [taylor]: Taking taylor expansion of 0.875 in x 6.954 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 6.954 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 6.954 * [taylor]: Taking taylor expansion of 0.375 in x 6.954 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.954 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.954 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.954 * [taylor]: Taking taylor expansion of 1.0 in x 6.954 * [taylor]: Taking taylor expansion of 1.0 in x 6.954 * [taylor]: Taking taylor expansion of (* x x) in x 6.954 * [taylor]: Taking taylor expansion of x in x 6.954 * [taylor]: Taking taylor expansion of x in x 6.957 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 6.957 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 6.957 * [taylor]: Taking taylor expansion of 0.375 in x 6.957 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 6.957 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 6.957 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.957 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.957 * [taylor]: Taking taylor expansion of 1.0 in x 6.957 * [taylor]: Taking taylor expansion of 1.0 in x 6.957 * [taylor]: Taking taylor expansion of (* x x) in x 6.957 * [taylor]: Taking taylor expansion of x in x 6.957 * [taylor]: Taking taylor expansion of x in x 6.961 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 6.962 * [taylor]: Taking taylor expansion of 0.125 in x 6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 6.962 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 6.962 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.962 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.962 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.962 * [taylor]: Taking taylor expansion of 1.0 in x 6.962 * [taylor]: Taking taylor expansion of 1.0 in x 6.962 * [taylor]: Taking taylor expansion of (* x x) in x 6.962 * [taylor]: Taking taylor expansion of x in x 6.962 * [taylor]: Taking taylor expansion of x in x 7.307 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in (x) around 0 7.307 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 7.307 * [taylor]: Taking taylor expansion of 0.875 in x 7.308 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 7.308 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.308 * [taylor]: Taking taylor expansion of 0.375 in x 7.308 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.308 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.308 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.308 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.308 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.308 * [taylor]: Taking taylor expansion of 1.0 in x 7.308 * [taylor]: Taking taylor expansion of 1.0 in x 7.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.308 * [taylor]: Taking taylor expansion of x in x 7.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.308 * [taylor]: Taking taylor expansion of x in x 7.311 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 7.311 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 7.311 * [taylor]: Taking taylor expansion of 0.125 in x 7.312 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 7.312 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 7.312 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.312 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.312 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.312 * [taylor]: Taking taylor expansion of 1.0 in x 7.312 * [taylor]: Taking taylor expansion of 1.0 in x 7.312 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.312 * [taylor]: Taking taylor expansion of x in x 7.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.312 * [taylor]: Taking taylor expansion of x in x 7.316 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 7.316 * [taylor]: Taking taylor expansion of 0.375 in x 7.316 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 7.316 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 7.316 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.316 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.316 * [taylor]: Taking taylor expansion of 1.0 in x 7.316 * [taylor]: Taking taylor expansion of 1.0 in x 7.316 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.316 * [taylor]: Taking taylor expansion of x in x 7.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.316 * [taylor]: Taking taylor expansion of x in x 7.319 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 7.320 * [taylor]: Taking taylor expansion of 0.875 in x 7.320 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 7.320 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.320 * [taylor]: Taking taylor expansion of 0.375 in x 7.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.320 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.320 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.320 * [taylor]: Taking taylor expansion of 1.0 in x 7.320 * [taylor]: Taking taylor expansion of 1.0 in x 7.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.320 * [taylor]: Taking taylor expansion of x in x 7.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.320 * [taylor]: Taking taylor expansion of x in x 7.323 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 7.323 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 7.323 * [taylor]: Taking taylor expansion of 0.125 in x 7.323 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 7.323 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 7.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.323 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.323 * [taylor]: Taking taylor expansion of 1.0 in x 7.324 * [taylor]: Taking taylor expansion of 1.0 in x 7.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.324 * [taylor]: Taking taylor expansion of x in x 7.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.324 * [taylor]: Taking taylor expansion of x in x 7.327 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 7.327 * [taylor]: Taking taylor expansion of 0.375 in x 7.327 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 7.327 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 7.327 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.328 * [taylor]: Taking taylor expansion of 1.0 in x 7.328 * [taylor]: Taking taylor expansion of 1.0 in x 7.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.328 * [taylor]: Taking taylor expansion of x in x 7.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.328 * [taylor]: Taking taylor expansion of x in x 7.337 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in (x) around 0 7.337 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 7.337 * [taylor]: Taking taylor expansion of 0.875 in x 7.337 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 7.337 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 7.337 * [taylor]: Taking taylor expansion of 0.125 in x 7.337 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 7.337 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 7.337 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.337 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.337 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.337 * [taylor]: Taking taylor expansion of 1.0 in x 7.337 * [taylor]: Taking taylor expansion of 1.0 in x 7.337 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.337 * [taylor]: Taking taylor expansion of -1 in x 7.337 * [taylor]: Taking taylor expansion of x in x 7.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.338 * [taylor]: Taking taylor expansion of -1 in x 7.338 * [taylor]: Taking taylor expansion of x in x 7.342 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 7.342 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 7.342 * [taylor]: Taking taylor expansion of 0.375 in x 7.342 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 7.342 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 7.342 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.342 * [taylor]: Taking taylor expansion of 1.0 in x 7.342 * [taylor]: Taking taylor expansion of 1.0 in x 7.342 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.342 * [taylor]: Taking taylor expansion of -1 in x 7.342 * [taylor]: Taking taylor expansion of x in x 7.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.342 * [taylor]: Taking taylor expansion of -1 in x 7.342 * [taylor]: Taking taylor expansion of x in x 7.346 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.346 * [taylor]: Taking taylor expansion of 0.375 in x 7.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.346 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.346 * [taylor]: Taking taylor expansion of 1.0 in x 7.346 * [taylor]: Taking taylor expansion of 1.0 in x 7.346 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.346 * [taylor]: Taking taylor expansion of -1 in x 7.346 * [taylor]: Taking taylor expansion of x in x 7.347 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.347 * [taylor]: Taking taylor expansion of -1 in x 7.347 * [taylor]: Taking taylor expansion of x in x 7.350 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 7.350 * [taylor]: Taking taylor expansion of 0.875 in x 7.350 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 7.350 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 7.350 * [taylor]: Taking taylor expansion of 0.125 in x 7.350 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 7.350 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 7.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.350 * [taylor]: Taking taylor expansion of 1.0 in x 7.350 * [taylor]: Taking taylor expansion of 1.0 in x 7.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.350 * [taylor]: Taking taylor expansion of -1 in x 7.350 * [taylor]: Taking taylor expansion of x in x 7.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.350 * [taylor]: Taking taylor expansion of -1 in x 7.350 * [taylor]: Taking taylor expansion of x in x 7.354 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 7.354 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 7.354 * [taylor]: Taking taylor expansion of 0.375 in x 7.354 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 7.354 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 7.354 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.354 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.354 * [taylor]: Taking taylor expansion of 1.0 in x 7.354 * [taylor]: Taking taylor expansion of 1.0 in x 7.354 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.354 * [taylor]: Taking taylor expansion of -1 in x 7.354 * [taylor]: Taking taylor expansion of x in x 7.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.355 * [taylor]: Taking taylor expansion of -1 in x 7.355 * [taylor]: Taking taylor expansion of x in x 7.366 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.366 * [taylor]: Taking taylor expansion of 0.375 in x 7.366 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.366 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.367 * [taylor]: Taking taylor expansion of 1.0 in x 7.367 * [taylor]: Taking taylor expansion of 1.0 in x 7.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.367 * [taylor]: Taking taylor expansion of -1 in x 7.367 * [taylor]: Taking taylor expansion of x in x 7.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.367 * [taylor]: Taking taylor expansion of -1 in x 7.367 * [taylor]: Taking taylor expansion of x in x 7.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.376 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in (x) around 0 7.376 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 7.376 * [taylor]: Taking taylor expansion of 0.875 in x 7.377 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 7.377 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 7.377 * [taylor]: Taking taylor expansion of 0.375 in x 7.377 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.377 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.377 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [taylor]: Taking taylor expansion of (* x x) in x 7.377 * [taylor]: Taking taylor expansion of x in x 7.377 * [taylor]: Taking taylor expansion of x in x 7.380 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 7.380 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 7.380 * [taylor]: Taking taylor expansion of 0.375 in x 7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 7.380 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 7.380 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.380 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.380 * [taylor]: Taking taylor expansion of 1.0 in x 7.380 * [taylor]: Taking taylor expansion of 1.0 in x 7.380 * [taylor]: Taking taylor expansion of (* x x) in x 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [taylor]: Taking taylor expansion of x in x 7.384 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 7.384 * [taylor]: Taking taylor expansion of 0.125 in x 7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 7.384 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 7.384 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.384 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.384 * [taylor]: Taking taylor expansion of 1.0 in x 7.385 * [taylor]: Taking taylor expansion of 1.0 in x 7.385 * [taylor]: Taking taylor expansion of (* x x) in x 7.385 * [taylor]: Taking taylor expansion of x in x 7.385 * [taylor]: Taking taylor expansion of x in x 7.390 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))))) in x 7.390 * [taylor]: Taking taylor expansion of 0.875 in x 7.390 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 x))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))))) in x 7.390 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 x))) in x 7.390 * [taylor]: Taking taylor expansion of 0.375 in x 7.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.390 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.391 * [taylor]: Taking taylor expansion of 1.0 in x 7.391 * [taylor]: Taking taylor expansion of 1.0 in x 7.391 * [taylor]: Taking taylor expansion of (* x x) in x 7.391 * [taylor]: Taking taylor expansion of x in x 7.391 * [taylor]: Taking taylor expansion of x in x 7.394 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) (* 0.125 (/ 1 (pow (hypot 1.0 x) 3)))) in x 7.394 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 x) 2))) in x 7.394 * [taylor]: Taking taylor expansion of 0.375 in x 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 7.394 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 7.394 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.394 * [taylor]: Taking taylor expansion of 1.0 in x 7.394 * [taylor]: Taking taylor expansion of 1.0 in x 7.394 * [taylor]: Taking taylor expansion of (* x x) in x 7.394 * [taylor]: Taking taylor expansion of x in x 7.394 * [taylor]: Taking taylor expansion of x in x 7.398 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 x) 3))) in x 7.398 * [taylor]: Taking taylor expansion of 0.125 in x 7.398 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 3)) in x 7.398 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 3) in x 7.398 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.398 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.399 * [taylor]: Taking taylor expansion of 1.0 in x 7.399 * [taylor]: Taking taylor expansion of 1.0 in x 7.399 * [taylor]: Taking taylor expansion of (* x x) in x 7.399 * [taylor]: Taking taylor expansion of x in x 7.399 * [taylor]: Taking taylor expansion of x in x 7.748 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in (x) around 0 7.748 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 7.748 * [taylor]: Taking taylor expansion of 0.875 in x 7.748 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 7.748 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.748 * [taylor]: Taking taylor expansion of 0.375 in x 7.748 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.748 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.748 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.748 * [taylor]: Taking taylor expansion of x in x 7.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.749 * [taylor]: Taking taylor expansion of x in x 7.752 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 7.752 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 7.752 * [taylor]: Taking taylor expansion of 0.125 in x 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 7.752 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 7.752 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.752 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.752 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.752 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.752 * [taylor]: Taking taylor expansion of x in x 7.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.752 * [taylor]: Taking taylor expansion of x in x 7.756 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 7.756 * [taylor]: Taking taylor expansion of 0.375 in x 7.756 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 7.756 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 7.756 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.756 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.756 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.756 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.756 * [taylor]: Taking taylor expansion of 1.0 in x 7.756 * [taylor]: Taking taylor expansion of 1.0 in x 7.756 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.756 * [taylor]: Taking taylor expansion of x in x 7.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.756 * [taylor]: Taking taylor expansion of x in x 7.760 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))))) in x 7.760 * [taylor]: Taking taylor expansion of 0.875 in x 7.760 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))))) in x 7.760 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.760 * [taylor]: Taking taylor expansion of 0.375 in x 7.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.760 * [taylor]: Taking taylor expansion of x in x 7.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.761 * [taylor]: Taking taylor expansion of x in x 7.763 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 7.764 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ 1 x)) 3))) in x 7.764 * [taylor]: Taking taylor expansion of 0.125 in x 7.764 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 3)) in x 7.764 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 3) in x 7.764 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.764 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.764 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.764 * [taylor]: Taking taylor expansion of 1.0 in x 7.764 * [taylor]: Taking taylor expansion of 1.0 in x 7.764 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.764 * [taylor]: Taking taylor expansion of x in x 7.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.764 * [taylor]: Taking taylor expansion of x in x 7.768 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 7.768 * [taylor]: Taking taylor expansion of 0.375 in x 7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 7.768 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 7.768 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.768 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.768 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.768 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.768 * [taylor]: Taking taylor expansion of 1.0 in x 7.768 * [taylor]: Taking taylor expansion of 1.0 in x 7.768 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.768 * [taylor]: Taking taylor expansion of x in x 7.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.768 * [taylor]: Taking taylor expansion of x in x 7.777 * [approximate]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in (x) around 0 7.777 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 7.777 * [taylor]: Taking taylor expansion of 0.875 in x 7.777 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 7.777 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 7.777 * [taylor]: Taking taylor expansion of 0.125 in x 7.777 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 7.777 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 7.778 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.778 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.778 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.778 * [taylor]: Taking taylor expansion of 1.0 in x 7.778 * [taylor]: Taking taylor expansion of 1.0 in x 7.778 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.778 * [taylor]: Taking taylor expansion of -1 in x 7.778 * [taylor]: Taking taylor expansion of x in x 7.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.778 * [taylor]: Taking taylor expansion of -1 in x 7.778 * [taylor]: Taking taylor expansion of x in x 7.782 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 7.782 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 7.782 * [taylor]: Taking taylor expansion of 0.375 in x 7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 7.782 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 7.782 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.782 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.782 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.782 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.782 * [taylor]: Taking taylor expansion of 1.0 in x 7.782 * [taylor]: Taking taylor expansion of 1.0 in x 7.782 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.782 * [taylor]: Taking taylor expansion of -1 in x 7.782 * [taylor]: Taking taylor expansion of x in x 7.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.782 * [taylor]: Taking taylor expansion of -1 in x 7.782 * [taylor]: Taking taylor expansion of x in x 7.786 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.786 * [taylor]: Taking taylor expansion of 0.375 in x 7.786 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.786 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.786 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.786 * [taylor]: Taking taylor expansion of 1.0 in x 7.786 * [taylor]: Taking taylor expansion of 1.0 in x 7.786 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.786 * [taylor]: Taking taylor expansion of -1 in x 7.786 * [taylor]: Taking taylor expansion of x in x 7.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.794 * [taylor]: Taking taylor expansion of -1 in x 7.794 * [taylor]: Taking taylor expansion of x in x 7.797 * [taylor]: Taking taylor expansion of (- 0.875 (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))))) in x 7.797 * [taylor]: Taking taylor expansion of 0.875 in x 7.797 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 7.797 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow (hypot 1.0 (/ -1 x)) 3))) in x 7.797 * [taylor]: Taking taylor expansion of 0.125 in x 7.797 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 3)) in x 7.797 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 3) in x 7.797 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.798 * [taylor]: Taking taylor expansion of 1.0 in x 7.798 * [taylor]: Taking taylor expansion of 1.0 in x 7.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.798 * [taylor]: Taking taylor expansion of -1 in x 7.798 * [taylor]: Taking taylor expansion of x in x 7.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.798 * [taylor]: Taking taylor expansion of -1 in x 7.798 * [taylor]: Taking taylor expansion of x in x 7.802 * [taylor]: Taking taylor expansion of (+ (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) (* 0.375 (/ 1 (hypot 1.0 (/ -1 x))))) in x 7.802 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 7.802 * [taylor]: Taking taylor expansion of 0.375 in x 7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 7.802 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 7.802 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.802 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.802 * [taylor]: Taking taylor expansion of 1.0 in x 7.802 * [taylor]: Taking taylor expansion of 1.0 in x 7.802 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.802 * [taylor]: Taking taylor expansion of -1 in x 7.802 * [taylor]: Taking taylor expansion of x in x 7.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.803 * [taylor]: Taking taylor expansion of -1 in x 7.803 * [taylor]: Taking taylor expansion of x in x 7.806 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.806 * [taylor]: Taking taylor expansion of 0.375 in x 7.806 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.806 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.806 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.806 * [taylor]: Taking taylor expansion of 1.0 in x 7.806 * [taylor]: Taking taylor expansion of 1.0 in x 7.806 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.806 * [taylor]: Taking taylor expansion of -1 in x 7.806 * [taylor]: Taking taylor expansion of x in x 7.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.807 * [taylor]: Taking taylor expansion of -1 in x 7.807 * [taylor]: Taking taylor expansion of x in x 7.815 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2) 7.815 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 7.815 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.815 * [taylor]: Taking taylor expansion of 1.0 in x 7.815 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.815 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.815 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.815 * [taylor]: Taking taylor expansion of 1.0 in x 7.815 * [taylor]: Taking taylor expansion of 1.0 in x 7.815 * [taylor]: Taking taylor expansion of (* x x) in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.818 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.818 * [taylor]: Taking taylor expansion of 1.0 in x 7.818 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.819 * [taylor]: Taking taylor expansion of 1.0 in x 7.819 * [taylor]: Taking taylor expansion of 1.0 in x 7.819 * [taylor]: Taking taylor expansion of (* x x) in x 7.819 * [taylor]: Taking taylor expansion of x in x 7.819 * [taylor]: Taking taylor expansion of x in x 7.858 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 7.859 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.859 * [taylor]: Taking taylor expansion of 1.0 in x 7.859 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.859 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.859 * [taylor]: Taking taylor expansion of 1.0 in x 7.859 * [taylor]: Taking taylor expansion of 1.0 in x 7.859 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.859 * [taylor]: Taking taylor expansion of x in x 7.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.859 * [taylor]: Taking taylor expansion of x in x 7.862 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.862 * [taylor]: Taking taylor expansion of 1.0 in x 7.862 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.862 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.863 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.863 * [taylor]: Taking taylor expansion of 1.0 in x 7.863 * [taylor]: Taking taylor expansion of 1.0 in x 7.863 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.863 * [taylor]: Taking taylor expansion of x in x 7.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.863 * [taylor]: Taking taylor expansion of x in x 7.892 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 7.892 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.892 * [taylor]: Taking taylor expansion of 1.0 in x 7.892 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.892 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.892 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.892 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.892 * [taylor]: Taking taylor expansion of 1.0 in x 7.892 * [taylor]: Taking taylor expansion of 1.0 in x 7.892 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.892 * [taylor]: Taking taylor expansion of -1 in x 7.892 * [taylor]: Taking taylor expansion of x in x 7.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.892 * [taylor]: Taking taylor expansion of -1 in x 7.893 * [taylor]: Taking taylor expansion of x in x 7.896 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.896 * [taylor]: Taking taylor expansion of 1.0 in x 7.896 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.896 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.896 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.896 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.896 * [taylor]: Taking taylor expansion of 1.0 in x 7.896 * [taylor]: Taking taylor expansion of 1.0 in x 7.896 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.896 * [taylor]: Taking taylor expansion of -1 in x 7.896 * [taylor]: Taking taylor expansion of x in x 7.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.897 * [taylor]: Taking taylor expansion of -1 in x 7.897 * [taylor]: Taking taylor expansion of x in x 7.919 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 3 2 2) 7.919 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 7.919 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.919 * [taylor]: Taking taylor expansion of 1.0 in x 7.919 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.919 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.919 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.919 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.919 * [taylor]: Taking taylor expansion of 1.0 in x 7.919 * [taylor]: Taking taylor expansion of 1.0 in x 7.919 * [taylor]: Taking taylor expansion of (* x x) in x 7.919 * [taylor]: Taking taylor expansion of x in x 7.919 * [taylor]: Taking taylor expansion of x in x 7.922 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.923 * [taylor]: Taking taylor expansion of 1.0 in x 7.923 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.923 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.923 * [taylor]: Taking taylor expansion of 1.0 in x 7.923 * [taylor]: Taking taylor expansion of 1.0 in x 7.923 * [taylor]: Taking taylor expansion of (* x x) in x 7.923 * [taylor]: Taking taylor expansion of x in x 7.923 * [taylor]: Taking taylor expansion of x in x 7.969 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 7.969 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.969 * [taylor]: Taking taylor expansion of 1.0 in x 7.969 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.969 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.969 * [taylor]: Taking taylor expansion of 1.0 in x 7.969 * [taylor]: Taking taylor expansion of 1.0 in x 7.969 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.969 * [taylor]: Taking taylor expansion of x in x 7.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.970 * [taylor]: Taking taylor expansion of x in x 7.973 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.973 * [taylor]: Taking taylor expansion of 1.0 in x 7.973 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.973 * [taylor]: Taking taylor expansion of 1.0 in x 7.973 * [taylor]: Taking taylor expansion of 1.0 in x 7.973 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.973 * [taylor]: Taking taylor expansion of x in x 7.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.973 * [taylor]: Taking taylor expansion of x in x 7.996 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 7.996 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.996 * [taylor]: Taking taylor expansion of 1.0 in x 7.996 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.996 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.996 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.996 * [taylor]: Taking taylor expansion of 1.0 in x 7.996 * [taylor]: Taking taylor expansion of 1.0 in x 7.996 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.996 * [taylor]: Taking taylor expansion of -1 in x 7.996 * [taylor]: Taking taylor expansion of x in x 7.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.997 * [taylor]: Taking taylor expansion of -1 in x 7.997 * [taylor]: Taking taylor expansion of x in x 8.000 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 8.000 * [taylor]: Taking taylor expansion of 1.0 in x 8.000 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.000 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.000 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.000 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.000 * [taylor]: Taking taylor expansion of 1.0 in x 8.000 * [taylor]: Taking taylor expansion of 1.0 in x 8.000 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.000 * [taylor]: Taking taylor expansion of -1 in x 8.000 * [taylor]: Taking taylor expansion of x in x 8.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.000 * [taylor]: Taking taylor expansion of -1 in x 8.000 * [taylor]: Taking taylor expansion of x in x 8.023 * * * [progress]: simplifying candidates 8.029 * [simplify]: Simplifying using # : (expm1 (log (exp (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (log1p (log (exp (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))))) (log (exp (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))))) (log (exp (fma (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))))) (log (exp (fma (- (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))))) (log (exp (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))))) (log (exp (fma (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))))) (log (exp (fma (- (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1))))) (log (exp (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) 1 (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 1)))) (log (exp (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 6) (pow (cbrt 1.0) 6) (- (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))))))) (log (exp (fma (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2)))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))))) (log (exp (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))))) (log (exp (fma (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))))))) (log (exp (fma (- (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (cbrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3)))))) (log (exp (fma (- (pow 0.5 3)) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (* (pow 0.5 3) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))))) (log (exp (fma (- (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))))) (log (exp (fma (pow (sqrt 1.0) 6) (pow (sqrt 1.0) 6) (- (* (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) 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(pow (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) 3)) (+ (* (pow 1.0 6) (pow 1.0 6)) (+ (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (* (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)))) (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (- (* (pow 1.0 6) (pow 1.0 6)) (* (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (+ (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (+ (pow (sqrt 1.0) 6) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (- (pow (sqrt 1.0) 6) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (+ (pow (sqrt 1.0) 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (- (pow (sqrt 1.0) 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (+ (sqrt (pow 1.0 6)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (- (sqrt (pow 1.0 6)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (+ (sqrt (pow 1.0 6)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (- (sqrt (pow 1.0 6)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (+ (pow 1.0 (/ 6 2)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (- (pow 1.0 (/ 6 2)) (sqrt (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (+ (pow 1.0 (/ 6 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (- (pow 1.0 (/ 6 2)) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (/ 3 2))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (- (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (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) (- (+ (* 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 5))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 4))) (+ (* 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.875))) (+ (* 0.375 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 2))) (+ (* 0.140625 (/ (pow x 4) (pow (sqrt 1.0) 5))) (+ (* 0.234375 (/ (pow x 4) (pow (sqrt 1.0) 7))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 6))) (* 0.125 (/ 1 (pow (sqrt 1.0) 3))))))))) (- 0.875 (+ (* 0.375 (/ 1 (pow x 2))) (* 0.375 (/ 1 x)))) (- (+ (* 0.375 (/ 1 x)) 0.875) (* 0.375 (/ 1 (pow x 2)))) (- (+ (* 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 5))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 4))) (+ (* 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.875))) (+ (* 0.375 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ 1 (pow (sqrt 1.0) 2))) (+ (* 0.140625 (/ (pow x 4) (pow (sqrt 1.0) 5))) (+ (* 0.234375 (/ (pow x 4) (pow (sqrt 1.0) 7))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 6))) (* 0.125 (/ 1 (pow (sqrt 1.0) 3))))))))) (- 0.875 (+ (* 0.375 (/ 1 (pow x 2))) (* 0.375 (/ 1 x)))) (- (+ (* 0.375 (/ 1 x)) 0.875) (* 0.375 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 8.059 * * [simplify]: iteration 0 : 407 enodes (cost 11554 ) 8.130 * * [simplify]: iteration 1 : 713 enodes (cost 6954 ) 8.307 * * [simplify]: iteration 2 : 2147 enodes (cost 5707 ) 8.859 * * [simplify]: iteration done : 5000 enodes (cost 5707 ) 8.862 * [simplify]: Simplified to: (expm1 (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (log1p (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (* (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (+ (- (pow 0.5 3)) (pow 0.5 3))) (- (pow 1.0 6) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) 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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 (/ (pow x 2) (pow (sqrt 1.0) 5)) 0.1875 (fma 0.375 (/ (pow x 2) (* 1.0 1.0)) (fma 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.875))) (/ 0.375 (sqrt 1.0))) (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.140625 (fma 0.234375 (/ (pow x 4) (pow (sqrt 1.0) 7)) (fma (/ (pow x 4) (pow 1.0 3)) 0.375 (/ (/ 0.125 1.0) (sqrt 1.0)))))) (/ 0.375 1.0)) (- 0.875 (+ (/ 0.375 (pow x 2)) (/ 0.375 x))) (- (+ 0.875 (/ 0.375 x)) (/ 0.375 (pow x 2))) (- (- (- (fma (/ (pow x 2) (pow (sqrt 1.0) 5)) 0.1875 (fma 0.375 (/ (pow x 2) (* 1.0 1.0)) (fma 0.1875 (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.875))) (/ 0.375 (sqrt 1.0))) (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.140625 (fma 0.234375 (/ (pow x 4) (pow (sqrt 1.0) 7)) (fma (/ (pow x 4) (pow 1.0 3)) 0.375 (/ (/ 0.125 1.0) (sqrt 1.0)))))) (/ 0.375 1.0)) (- 0.875 (+ (/ 0.375 (pow x 2)) (/ 0.375 x))) (- (+ 0.875 (/ 0.375 x)) (/ 0.375 (pow x 2))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (/ 1.0 x) (/ 0.5 (pow x 3))) (/ 0.375 (pow x 5))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (/ 1.0 x) (/ 0.5 (pow x 3))) (/ 0.375 (pow x 5))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) 8.865 * * * [progress]: adding candidates to table 9.591 * [progress]: [Phase 3 of 3] Extracting. 9.591 * * [regime]: Finding splitpoints for: (# # #) 9.604 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 9.604 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 9.652 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 9.698 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 9.740 * * * * [regimes]: Trying to branch on x from (# # #) 9.785 * * * [regime]: Found split indices: #