14.482 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.059 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.060 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.062 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.063 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.064 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.066 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.067 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.067 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.084 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.087 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.087 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.089 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.098 * [taylor]: Taking taylor expansion of 0.5 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.099 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [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 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.341 * [taylor]: Taking taylor expansion of 0.5 in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.401 * [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 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.509 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.509 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 0.513 * [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 0.536 * * * [progress]: simplifying candidates 0.537 * [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))))) 0.543 * * [simplify]: iteration 0 : 422 enodes (cost 844 ) 0.551 * * [simplify]: iteration 1 : 1629 enodes (cost 601 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 599 ) 0.583 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 0.583 * * * [progress]: adding candidates to table 0.746 * * [progress]: iteration 2 / 4 0.746 * * * [progress]: picking best candidate 0.761 * * * * [pick]: Picked # 0.761 * * * [progress]: localizing error 0.772 * * * [progress]: generating rewritten candidates 0.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.778 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.785 * * * [progress]: generating series expansions 0.785 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.785 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.786 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.786 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.786 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.786 * [taylor]: Taking taylor expansion of 0.5 in x 0.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.786 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.786 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.786 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (* x x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.789 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.789 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.789 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.789 * [taylor]: Taking taylor expansion of 0.5 in x 0.789 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.789 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.789 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.790 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (* x x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.880 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.880 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.880 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.880 * [taylor]: Taking taylor expansion of 0.5 in x 0.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.883 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.884 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.884 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.884 * [taylor]: Taking taylor expansion of 0.5 in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.904 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.905 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.905 * [taylor]: Taking taylor expansion of 0.5 in x 0.905 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.905 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.905 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.915 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.915 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.915 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.915 * [taylor]: Taking taylor expansion of 0.5 in x 0.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.915 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.915 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.936 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.937 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.937 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.937 * [taylor]: Taking taylor expansion of 0.5 in x 0.937 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.937 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.937 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.937 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.937 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (* x x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.940 * [taylor]: Taking taylor expansion of 0.5 in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.941 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.941 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.941 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.941 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (* x x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.968 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.968 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.968 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.968 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.968 * [taylor]: Taking taylor expansion of 0.5 in x 0.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.968 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.968 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.968 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.968 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (* x x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.971 * [taylor]: Taking taylor expansion of 0.5 in x 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.972 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.972 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (* x x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 1.792 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.792 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.792 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.792 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.792 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.792 * [taylor]: Taking taylor expansion of 0.5 in x 1.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.792 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.792 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of 1.0 in x 1.801 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.801 * [taylor]: Taking taylor expansion of 0.5 in x 1.802 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.807 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.807 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.807 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.807 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.807 * [taylor]: Taking taylor expansion of 0.5 in x 1.807 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.807 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.816 * [taylor]: Taking taylor expansion of 0.5 in x 1.817 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.957 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.957 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.957 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.957 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.957 * [taylor]: Taking taylor expansion of 0.5 in x 1.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.957 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.957 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.957 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.957 * [taylor]: Taking taylor expansion of -1 in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.958 * [taylor]: Taking taylor expansion of -1 in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.961 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.961 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.961 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.961 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.961 * [taylor]: Taking taylor expansion of -1 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.961 * [taylor]: Taking taylor expansion of -1 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of 1.0 in x 1.966 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.966 * [taylor]: Taking taylor expansion of 0.5 in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.972 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.972 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.972 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.972 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.972 * [taylor]: Taking taylor expansion of 0.5 in x 1.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.972 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.973 * [taylor]: Taking taylor expansion of -1 in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.973 * [taylor]: Taking taylor expansion of -1 in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.976 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.976 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.976 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.976 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.976 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.976 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.981 * [taylor]: Taking taylor expansion of 0.5 in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.121 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.121 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.121 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.121 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.121 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of (* x x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.124 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.124 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.125 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [taylor]: Taking taylor expansion of (* x x) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.162 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.163 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.163 * [taylor]: Taking taylor expansion of 1.0 in x 2.163 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.163 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.163 * [taylor]: Taking taylor expansion of 1.0 in x 2.163 * [taylor]: Taking taylor expansion of 1.0 in x 2.163 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.166 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.166 * [taylor]: Taking taylor expansion of 1.0 in x 2.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.166 * [taylor]: Taking taylor expansion of 1.0 in x 2.166 * [taylor]: Taking taylor expansion of 1.0 in x 2.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.166 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.167 * [taylor]: Taking taylor expansion of x in x 2.196 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.196 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.196 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.196 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.196 * [taylor]: Taking taylor expansion of -1 in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.196 * [taylor]: Taking taylor expansion of -1 in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.199 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.199 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.222 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.222 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.222 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.222 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.222 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of (* x x) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.225 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of (* x x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.271 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.271 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.271 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.271 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.271 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.271 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.297 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.297 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.297 * [taylor]: Taking taylor expansion of 1.0 in x 2.297 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.298 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.298 * [taylor]: Taking taylor expansion of -1 in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.298 * [taylor]: Taking taylor expansion of -1 in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.301 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.301 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.301 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.301 * [taylor]: Taking taylor expansion of -1 in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.302 * [taylor]: Taking taylor expansion of -1 in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.323 * * * [progress]: simplifying candidates 2.325 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 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(sqrt 0.5)) 1.0)))))))))) (- (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.336 * * [simplify]: iteration 0 : 764 enodes (cost 1571 ) 2.350 * * [simplify]: iteration 1 : 3539 enodes (cost 1461 ) 2.405 * * [simplify]: iteration 2 : 5001 enodes (cost 1448 ) 2.418 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.419 * * * [progress]: adding candidates to table 2.826 * * [progress]: iteration 3 / 4 2.826 * * * [progress]: picking best candidate 2.877 * * * * [pick]: Picked # 2.877 * * * [progress]: localizing error 2.892 * * * [progress]: generating rewritten candidates 2.892 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.905 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 2 2) 2.915 * * * [progress]: generating series expansions 2.915 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.916 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 2.916 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.916 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.916 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.916 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.916 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.916 * [taylor]: Taking taylor expansion of 0.5 in x 2.916 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.916 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.916 * [taylor]: Taking taylor expansion of 1.0 in x 2.916 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.916 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.916 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.916 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.916 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.916 * [taylor]: Taking taylor expansion of 1.0 in x 2.916 * [taylor]: Taking taylor expansion of 1.0 in x 2.916 * [taylor]: Taking taylor expansion of (* x x) in x 2.916 * [taylor]: Taking taylor expansion of x in x 2.916 * [taylor]: Taking taylor expansion of x in x 2.920 * [taylor]: Taking taylor expansion of 1.0 in x 2.920 * [taylor]: Taking taylor expansion of 1.0 in x 2.920 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.920 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.920 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.920 * [taylor]: Taking taylor expansion of 0.5 in x 2.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.920 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.920 * [taylor]: Taking taylor expansion of 1.0 in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.921 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.921 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.921 * [taylor]: Taking taylor expansion of 1.0 in x 2.921 * [taylor]: Taking taylor expansion of 1.0 in x 2.921 * [taylor]: Taking taylor expansion of (* x x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.953 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.954 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.954 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.954 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.954 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.954 * [taylor]: Taking taylor expansion of 0.5 in x 2.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.954 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.954 * [taylor]: Taking taylor expansion of 1.0 in x 2.954 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.954 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.954 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.954 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.954 * [taylor]: Taking taylor expansion of 1.0 in x 2.954 * [taylor]: Taking taylor expansion of 1.0 in x 2.954 * [taylor]: Taking taylor expansion of (* x x) in x 2.954 * [taylor]: Taking taylor expansion of x in x 2.954 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of 1.0 in x 2.957 * [taylor]: Taking taylor expansion of 1.0 in x 2.957 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.957 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.957 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.957 * [taylor]: Taking taylor expansion of 0.5 in x 2.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.958 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.958 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.958 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.958 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * [taylor]: Taking taylor expansion of (* x x) in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.961 * [taylor]: Taking taylor expansion of 1.0 in x 2.966 * [taylor]: Taking taylor expansion of 1.0 in x 3.964 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 3.964 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.964 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.965 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.965 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.965 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.965 * [taylor]: Taking taylor expansion of 0.5 in x 3.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.965 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.965 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.965 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.965 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.965 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.965 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.968 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.969 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.969 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.969 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.969 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.969 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of 1.0 in x 3.969 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.969 * [taylor]: Taking taylor expansion of x in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.969 * [taylor]: Taking taylor expansion of x in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.974 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.974 * [taylor]: Taking taylor expansion of 0.5 in x 3.975 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.980 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.980 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.980 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.980 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.980 * [taylor]: Taking taylor expansion of 0.5 in x 3.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.980 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.980 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.980 * [taylor]: Taking taylor expansion of x in x 3.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.981 * [taylor]: Taking taylor expansion of x in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.984 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.984 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.984 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.989 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.989 * [taylor]: Taking taylor expansion of 0.5 in x 3.990 * [taylor]: Taking taylor expansion of 1.0 in x 4.127 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.128 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.128 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.128 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.128 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.128 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.128 * [taylor]: Taking taylor expansion of 0.5 in x 4.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.128 * [taylor]: Taking taylor expansion of 1.0 in x 4.128 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.128 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.128 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.128 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.128 * [taylor]: Taking taylor expansion of 1.0 in x 4.128 * [taylor]: Taking taylor expansion of 1.0 in x 4.128 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.128 * [taylor]: Taking taylor expansion of -1 in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.128 * [taylor]: Taking taylor expansion of -1 in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.132 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.132 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.132 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.132 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.132 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.132 * [taylor]: Taking taylor expansion of -1 in x 4.132 * [taylor]: Taking taylor expansion of x in x 4.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.132 * [taylor]: Taking taylor expansion of -1 in x 4.132 * [taylor]: Taking taylor expansion of x in x 4.135 * [taylor]: Taking taylor expansion of 1.0 in x 4.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.137 * [taylor]: Taking taylor expansion of 0.5 in x 4.138 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.143 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.143 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.143 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.143 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.143 * [taylor]: Taking taylor expansion of 0.5 in x 4.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.143 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.143 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.143 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.143 * [taylor]: Taking taylor expansion of -1 in x 4.143 * [taylor]: Taking taylor expansion of x in x 4.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.144 * [taylor]: Taking taylor expansion of -1 in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.148 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.148 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.148 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.148 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.148 * [taylor]: Taking taylor expansion of -1 in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.148 * [taylor]: Taking taylor expansion of -1 in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.151 * [taylor]: Taking taylor expansion of 1.0 in x 4.153 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.153 * [taylor]: Taking taylor expansion of 0.5 in x 4.154 * [taylor]: Taking taylor expansion of 1.0 in x 4.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.292 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 4.292 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.292 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.292 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.292 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.292 * [taylor]: Taking taylor expansion of 0.5 in x 4.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.292 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.292 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.292 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * [taylor]: Taking taylor expansion of (* x x) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.295 * [taylor]: Taking taylor expansion of 1.0 in x 4.295 * [taylor]: Taking taylor expansion of 1.0 in x 4.295 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.295 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.295 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.295 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.295 * [taylor]: Taking taylor expansion of 0.5 in x 4.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.295 * [taylor]: Taking taylor expansion of 1.0 in x 4.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.295 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.295 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.295 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (* x x) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.387 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.387 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.387 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.387 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.387 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.387 * [taylor]: Taking taylor expansion of 0.5 in x 4.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.387 * [taylor]: Taking taylor expansion of 1.0 in x 4.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.388 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.388 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.388 * [taylor]: Taking taylor expansion of 1.0 in x 4.388 * [taylor]: Taking taylor expansion of 1.0 in x 4.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.388 * [taylor]: Taking taylor expansion of x in x 4.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.388 * [taylor]: Taking taylor expansion of x in x 4.391 * [taylor]: Taking taylor expansion of 1.0 in x 4.391 * [taylor]: Taking taylor expansion of 1.0 in x 4.391 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.391 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.391 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.391 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.391 * [taylor]: Taking taylor expansion of 0.5 in x 4.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.391 * [taylor]: Taking taylor expansion of 1.0 in x 4.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.391 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.391 * [taylor]: Taking taylor expansion of 1.0 in x 4.391 * [taylor]: Taking taylor expansion of 1.0 in x 4.391 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.391 * [taylor]: Taking taylor expansion of x in x 4.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.392 * [taylor]: Taking taylor expansion of x in x 4.394 * [taylor]: Taking taylor expansion of 1.0 in x 4.394 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.419 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.419 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.419 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.419 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.419 * [taylor]: Taking taylor expansion of 0.5 in x 4.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.419 * [taylor]: Taking taylor expansion of -1 in x 4.419 * [taylor]: Taking taylor expansion of x in x 4.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.420 * [taylor]: Taking taylor expansion of -1 in x 4.420 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.423 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.423 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.423 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.423 * [taylor]: Taking taylor expansion of 0.5 in x 4.423 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.423 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.423 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.423 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.423 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.423 * [taylor]: Taking taylor expansion of -1 in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.424 * [taylor]: Taking taylor expansion of -1 in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.426 * [taylor]: Taking taylor expansion of 1.0 in x 4.427 * [taylor]: Taking taylor expansion of 1.0 in x 4.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.444 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 4.444 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.444 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.444 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.444 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.444 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.444 * [taylor]: Taking taylor expansion of 0.5 in x 4.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.444 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (* x x) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.447 * [taylor]: Taking taylor expansion of 1.0 in x 4.447 * [taylor]: Taking taylor expansion of 1.0 in x 4.447 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.447 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.447 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.447 * [taylor]: Taking taylor expansion of 0.5 in x 4.448 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.448 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.448 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.448 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.448 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.448 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.448 * [taylor]: Taking taylor expansion of (* x x) in x 4.448 * [taylor]: Taking taylor expansion of x in x 4.448 * [taylor]: Taking taylor expansion of x in x 4.451 * [taylor]: Taking taylor expansion of 1.0 in x 4.457 * [taylor]: Taking taylor expansion of 1.0 in x 4.475 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.475 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.475 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.476 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.476 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.476 * [taylor]: Taking taylor expansion of 0.5 in x 4.476 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.476 * [taylor]: Taking taylor expansion of 1.0 in x 4.476 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.476 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.476 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.476 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.476 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.476 * [taylor]: Taking taylor expansion of 1.0 in x 4.476 * [taylor]: Taking taylor expansion of 1.0 in x 4.476 * [taylor]: Taking taylor expansion of (* x x) in x 4.476 * [taylor]: Taking taylor expansion of x in x 4.476 * [taylor]: Taking taylor expansion of x in x 4.479 * [taylor]: Taking taylor expansion of 1.0 in x 4.479 * [taylor]: Taking taylor expansion of 1.0 in x 4.479 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.479 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.479 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.479 * [taylor]: Taking taylor expansion of 0.5 in x 4.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.485 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.485 * [taylor]: Taking taylor expansion of 1.0 in x 4.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.485 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.485 * [taylor]: Taking taylor expansion of 1.0 in x 4.485 * [taylor]: Taking taylor expansion of 1.0 in x 4.485 * [taylor]: Taking taylor expansion of (* x x) in x 4.485 * [taylor]: Taking taylor expansion of x in x 4.485 * [taylor]: Taking taylor expansion of x in x 4.488 * [taylor]: Taking taylor expansion of 1.0 in x 4.493 * [taylor]: Taking taylor expansion of 1.0 in x 5.300 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 5.300 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.300 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.300 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.300 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.301 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.301 * [taylor]: Taking taylor expansion of 0.5 in x 5.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.301 * [taylor]: Taking taylor expansion of 1.0 in x 5.301 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.301 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.301 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.301 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.301 * [taylor]: Taking taylor expansion of 1.0 in x 5.301 * [taylor]: Taking taylor expansion of 1.0 in x 5.301 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.301 * [taylor]: Taking taylor expansion of x in x 5.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.301 * [taylor]: Taking taylor expansion of x in x 5.304 * [taylor]: Taking taylor expansion of 1.0 in x 5.304 * [taylor]: Taking taylor expansion of 1.0 in x 5.304 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.304 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.304 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.304 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.304 * [taylor]: Taking taylor expansion of 1.0 in x 5.304 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.304 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.305 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.305 * [taylor]: Taking taylor expansion of 1.0 in x 5.305 * [taylor]: Taking taylor expansion of 1.0 in x 5.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.305 * [taylor]: Taking taylor expansion of x in x 5.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.305 * [taylor]: Taking taylor expansion of x in x 5.308 * [taylor]: Taking taylor expansion of 1.0 in x 5.310 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.310 * [taylor]: Taking taylor expansion of 0.5 in x 5.311 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.316 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.316 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.316 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.316 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.316 * [taylor]: Taking taylor expansion of 0.5 in x 5.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.317 * [taylor]: Taking taylor expansion of x in x 5.319 * [taylor]: Taking taylor expansion of 1.0 in x 5.319 * [taylor]: Taking taylor expansion of 1.0 in x 5.319 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.320 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.320 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.320 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.320 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.320 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.323 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.325 * [taylor]: Taking taylor expansion of 0.5 in x 5.326 * [taylor]: Taking taylor expansion of 1.0 in x 5.464 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 5.464 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.464 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.465 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.465 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.465 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.465 * [taylor]: Taking taylor expansion of 0.5 in x 5.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.465 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.465 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.465 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.465 * [taylor]: Taking taylor expansion of -1 in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.465 * [taylor]: Taking taylor expansion of -1 in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.468 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.468 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.468 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.468 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.468 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.469 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.469 * [taylor]: Taking taylor expansion of 1.0 in x 5.469 * [taylor]: Taking taylor expansion of 1.0 in x 5.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.469 * [taylor]: Taking taylor expansion of -1 in x 5.469 * [taylor]: Taking taylor expansion of x in x 5.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.469 * [taylor]: Taking taylor expansion of -1 in x 5.469 * [taylor]: Taking taylor expansion of x in x 5.472 * [taylor]: Taking taylor expansion of 1.0 in x 5.474 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.474 * [taylor]: Taking taylor expansion of 0.5 in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.480 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.480 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.480 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.480 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.480 * [taylor]: Taking taylor expansion of 0.5 in x 5.480 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.480 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.480 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.480 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.480 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.480 * [taylor]: Taking taylor expansion of -1 in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.480 * [taylor]: Taking taylor expansion of -1 in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.483 * [taylor]: Taking taylor expansion of 1.0 in x 5.483 * [taylor]: Taking taylor expansion of 1.0 in x 5.483 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.483 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.483 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.483 * [taylor]: Taking taylor expansion of 1.0 in x 5.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.484 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.484 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.484 * [taylor]: Taking taylor expansion of 1.0 in x 5.484 * [taylor]: Taking taylor expansion of 1.0 in x 5.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.484 * [taylor]: Taking taylor expansion of -1 in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.484 * [taylor]: Taking taylor expansion of -1 in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.487 * [taylor]: Taking taylor expansion of 1.0 in x 5.489 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.489 * [taylor]: Taking taylor expansion of 0.5 in x 5.490 * [taylor]: Taking taylor expansion of 1.0 in x 5.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 2 2) 5.628 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.628 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.628 * [taylor]: Taking taylor expansion of 1.0 in x 5.628 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.629 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.629 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.629 * [taylor]: Taking taylor expansion of 1.0 in x 5.629 * [taylor]: Taking taylor expansion of 1.0 in x 5.629 * [taylor]: Taking taylor expansion of (* x x) in x 5.629 * [taylor]: Taking taylor expansion of x in x 5.629 * [taylor]: Taking taylor expansion of x in x 5.632 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.632 * [taylor]: Taking taylor expansion of 1.0 in x 5.632 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.632 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.632 * [taylor]: Taking taylor expansion of 1.0 in x 5.632 * [taylor]: Taking taylor expansion of 1.0 in x 5.632 * [taylor]: Taking taylor expansion of (* x x) in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.678 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.678 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.678 * [taylor]: Taking taylor expansion of 1.0 in x 5.678 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.679 * [taylor]: Taking taylor expansion of 1.0 in x 5.679 * [taylor]: Taking taylor expansion of 1.0 in x 5.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.679 * [taylor]: Taking taylor expansion of x in x 5.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.679 * [taylor]: Taking taylor expansion of x in x 5.682 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.682 * [taylor]: Taking taylor expansion of 1.0 in x 5.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.682 * [taylor]: Taking taylor expansion of 1.0 in x 5.682 * [taylor]: Taking taylor expansion of 1.0 in x 5.682 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.682 * [taylor]: Taking taylor expansion of x in x 5.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.682 * [taylor]: Taking taylor expansion of x in x 5.704 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.704 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.704 * [taylor]: Taking taylor expansion of 1.0 in x 5.704 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.704 * [taylor]: Taking taylor expansion of 1.0 in x 5.704 * [taylor]: Taking taylor expansion of 1.0 in x 5.704 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.704 * [taylor]: Taking taylor expansion of -1 in x 5.704 * [taylor]: Taking taylor expansion of x in x 5.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.705 * [taylor]: Taking taylor expansion of -1 in x 5.705 * [taylor]: Taking taylor expansion of x in x 5.707 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.708 * [taylor]: Taking taylor expansion of 1.0 in x 5.708 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.708 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.708 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.708 * [taylor]: Taking taylor expansion of 1.0 in x 5.708 * [taylor]: Taking taylor expansion of 1.0 in x 5.708 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.708 * [taylor]: Taking taylor expansion of -1 in x 5.708 * [taylor]: Taking taylor expansion of x in x 5.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.708 * [taylor]: Taking taylor expansion of -1 in x 5.708 * [taylor]: Taking taylor expansion of x in x 5.730 * * * [progress]: simplifying candidates 5.733 * [simplify]: Simplifying using # : (expm1 (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log1p (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (* (cbrt (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (log (cbrt (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (sqrt (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (sqrt (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log 1) (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (exp (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (log (exp (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (exp (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (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))))))))))) (log (exp (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (exp (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1))) (log (exp (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1))) (log (exp (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (log (exp (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (exp (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1))) (log (exp (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1))) (log (exp (/ 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))))))))))) (log (exp (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (exp (/ 1 1))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (cbrt (log (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 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(/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 5.753 * * [simplify]: iteration 0 : 815 enodes (cost 2313 ) 5.767 * * [simplify]: iteration 1 : 3616 enodes (cost 2153 ) 5.820 * * [simplify]: iteration 2 : 5001 enodes (cost 2130 ) 5.830 * [simplify]: Simplified to: (expm1 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(+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 5.831 * * * [progress]: adding candidates to table 6.265 * * [progress]: iteration 4 / 4 6.265 * * * [progress]: picking best candidate 6.299 * * * * [pick]: Picked # 6.299 * * * [progress]: localizing error 6.313 * * * [progress]: generating rewritten candidates 6.313 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.325 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.351 * * * [progress]: generating series expansions 6.351 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.352 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.352 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.353 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.353 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.353 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.353 * [taylor]: Taking taylor expansion of 0.5 in x 6.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.353 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.353 * [taylor]: Taking taylor expansion of 1.0 in x 6.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.353 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.353 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.353 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.353 * [taylor]: Taking taylor expansion of 1.0 in x 6.353 * [taylor]: Taking taylor expansion of 1.0 in x 6.353 * [taylor]: Taking taylor expansion of (* x x) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.356 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.356 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.356 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.356 * [taylor]: Taking taylor expansion of 0.5 in x 6.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.356 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.356 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.356 * [taylor]: Taking taylor expansion of (* x x) in x 6.356 * [taylor]: Taking taylor expansion of x in x 6.356 * [taylor]: Taking taylor expansion of x in x 6.359 * [taylor]: Taking taylor expansion of 1.0 in x 6.359 * [taylor]: Taking taylor expansion of 1.0 in x 6.449 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.449 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.449 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.449 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.449 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.449 * [taylor]: Taking taylor expansion of 0.5 in x 6.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.449 * [taylor]: Taking taylor expansion of 1.0 in x 6.449 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.449 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.449 * [taylor]: Taking taylor expansion of 1.0 in x 6.449 * [taylor]: Taking taylor expansion of 1.0 in x 6.450 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.450 * [taylor]: Taking taylor expansion of x in x 6.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.450 * [taylor]: Taking taylor expansion of x in x 6.453 * [taylor]: Taking taylor expansion of 1.0 in x 6.453 * [taylor]: Taking taylor expansion of 1.0 in x 6.453 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.453 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.453 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.453 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.453 * [taylor]: Taking taylor expansion of 0.5 in x 6.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.453 * [taylor]: Taking taylor expansion of 1.0 in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.453 * [taylor]: Taking taylor expansion of 1.0 in x 6.453 * [taylor]: Taking taylor expansion of 1.0 in x 6.453 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.454 * [taylor]: Taking taylor expansion of x in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.474 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.474 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.474 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.474 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.474 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.474 * [taylor]: Taking taylor expansion of 0.5 in x 6.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.474 * [taylor]: Taking taylor expansion of 1.0 in x 6.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.474 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.475 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.475 * [taylor]: Taking taylor expansion of 1.0 in x 6.475 * [taylor]: Taking taylor expansion of 1.0 in x 6.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.475 * [taylor]: Taking taylor expansion of -1 in x 6.475 * [taylor]: Taking taylor expansion of x in x 6.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.475 * [taylor]: Taking taylor expansion of -1 in x 6.475 * [taylor]: Taking taylor expansion of x in x 6.484 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.485 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.485 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.485 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.485 * [taylor]: Taking taylor expansion of 0.5 in x 6.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.485 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.485 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.485 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.485 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.485 * [taylor]: Taking taylor expansion of -1 in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.485 * [taylor]: Taking taylor expansion of -1 in x 6.486 * [taylor]: Taking taylor expansion of x in x 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.488 * [taylor]: Taking taylor expansion of 1.0 in x 6.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.506 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.506 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.506 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.506 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.506 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.506 * [taylor]: Taking taylor expansion of 0.5 in x 6.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.506 * [taylor]: Taking taylor expansion of 1.0 in x 6.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.506 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.506 * [taylor]: Taking taylor expansion of 1.0 in x 6.506 * [taylor]: Taking taylor expansion of 1.0 in x 6.506 * [taylor]: Taking taylor expansion of (* x x) in x 6.506 * [taylor]: Taking taylor expansion of x in x 6.506 * [taylor]: Taking taylor expansion of x in x 6.509 * [taylor]: Taking taylor expansion of 1.0 in x 6.509 * [taylor]: Taking taylor expansion of 1.0 in x 6.509 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.509 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.509 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.509 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.509 * [taylor]: Taking taylor expansion of 0.5 in x 6.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.509 * [taylor]: Taking taylor expansion of 1.0 in x 6.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.510 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.510 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.510 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.510 * [taylor]: Taking taylor expansion of 1.0 in x 6.510 * [taylor]: Taking taylor expansion of 1.0 in x 6.510 * [taylor]: Taking taylor expansion of (* x x) in x 6.510 * [taylor]: Taking taylor expansion of x in x 6.510 * [taylor]: Taking taylor expansion of x in x 6.512 * [taylor]: Taking taylor expansion of 1.0 in x 6.512 * [taylor]: Taking taylor expansion of 1.0 in x 6.602 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.602 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.602 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.602 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.602 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.603 * [taylor]: Taking taylor expansion of 0.5 in x 6.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.603 * [taylor]: Taking taylor expansion of 1.0 in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.603 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.603 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.603 * [taylor]: Taking taylor expansion of 1.0 in x 6.603 * [taylor]: Taking taylor expansion of 1.0 in x 6.603 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.606 * [taylor]: Taking taylor expansion of 1.0 in x 6.606 * [taylor]: Taking taylor expansion of 1.0 in x 6.606 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.606 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.606 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.606 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.606 * [taylor]: Taking taylor expansion of 0.5 in x 6.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.606 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.606 * [taylor]: Taking taylor expansion of 1.0 in x 6.606 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.606 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.606 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.606 * [taylor]: Taking taylor expansion of 1.0 in x 6.607 * [taylor]: Taking taylor expansion of 1.0 in x 6.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.607 * [taylor]: Taking taylor expansion of x in x 6.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.607 * [taylor]: Taking taylor expansion of x in x 6.610 * [taylor]: Taking taylor expansion of 1.0 in x 6.610 * [taylor]: Taking taylor expansion of 1.0 in x 6.627 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.627 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.627 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.627 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.627 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.627 * [taylor]: Taking taylor expansion of 0.5 in x 6.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.627 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.627 * [taylor]: Taking taylor expansion of 1.0 in x 6.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.627 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.627 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.627 * [taylor]: Taking taylor expansion of 1.0 in x 6.627 * [taylor]: Taking taylor expansion of 1.0 in x 6.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.628 * [taylor]: Taking taylor expansion of -1 in x 6.628 * [taylor]: Taking taylor expansion of x in x 6.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.628 * [taylor]: Taking taylor expansion of -1 in x 6.628 * [taylor]: Taking taylor expansion of x in x 6.631 * [taylor]: Taking taylor expansion of 1.0 in x 6.631 * [taylor]: Taking taylor expansion of 1.0 in x 6.631 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.631 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.631 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.631 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.631 * [taylor]: Taking taylor expansion of 0.5 in x 6.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.631 * [taylor]: Taking taylor expansion of 1.0 in x 6.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.631 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.631 * [taylor]: Taking taylor expansion of 1.0 in x 6.631 * [taylor]: Taking taylor expansion of 1.0 in x 6.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.631 * [taylor]: Taking taylor expansion of -1 in x 6.631 * [taylor]: Taking taylor expansion of x in x 6.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.632 * [taylor]: Taking taylor expansion of -1 in x 6.632 * [taylor]: Taking taylor expansion of x in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.635 * [taylor]: Taking taylor expansion of 1.0 in x 6.659 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.659 * [approximate]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in (x) around 0 6.659 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.659 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 6.659 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.660 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.660 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.660 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.660 * [taylor]: Taking taylor expansion of 0.5 in x 6.660 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.660 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.660 * [taylor]: Taking taylor expansion of 1.0 in x 6.660 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.660 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.660 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.660 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.660 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.660 * [taylor]: Taking taylor expansion of 1.0 in x 6.660 * [taylor]: Taking taylor expansion of 1.0 in x 6.660 * [taylor]: Taking taylor expansion of (* x x) in x 6.660 * [taylor]: Taking taylor expansion of x in x 6.660 * [taylor]: Taking taylor expansion of x in x 6.663 * [taylor]: Taking taylor expansion of 1.0 in x 6.663 * [taylor]: Taking taylor expansion of 1.0 in x 6.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.675 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.675 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.675 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.675 * [taylor]: Taking taylor expansion of 0.5 in x 6.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.675 * [taylor]: Taking taylor expansion of 1.0 in x 6.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.675 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.676 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.676 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.676 * [taylor]: Taking taylor expansion of 1.0 in x 6.676 * [taylor]: Taking taylor expansion of 1.0 in x 6.676 * [taylor]: Taking taylor expansion of (* x x) in x 6.676 * [taylor]: Taking taylor expansion of x in x 6.676 * [taylor]: Taking taylor expansion of x in x 6.678 * [taylor]: Taking taylor expansion of 1.0 in x 6.684 * [taylor]: Taking taylor expansion of 1.0 in x 6.694 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.695 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 6.695 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.695 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.695 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.695 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.695 * [taylor]: Taking taylor expansion of 0.5 in x 6.695 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.695 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.695 * [taylor]: Taking taylor expansion of 1.0 in x 6.695 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.695 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.695 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.695 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.695 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.695 * [taylor]: Taking taylor expansion of 1.0 in x 6.695 * [taylor]: Taking taylor expansion of 1.0 in x 6.695 * [taylor]: Taking taylor expansion of (* x x) in x 6.695 * [taylor]: Taking taylor expansion of x in x 6.695 * [taylor]: Taking taylor expansion of x in x 6.698 * [taylor]: Taking taylor expansion of 1.0 in x 6.698 * [taylor]: Taking taylor expansion of 1.0 in x 6.710 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.710 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.710 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.710 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.710 * [taylor]: Taking taylor expansion of 0.5 in x 6.710 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.710 * [taylor]: Taking taylor expansion of 1.0 in x 6.711 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.711 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.711 * [taylor]: Taking taylor expansion of 1.0 in x 6.711 * [taylor]: Taking taylor expansion of 1.0 in x 6.711 * [taylor]: Taking taylor expansion of (* x x) in x 6.711 * [taylor]: Taking taylor expansion of x in x 6.711 * [taylor]: Taking taylor expansion of x in x 6.714 * [taylor]: Taking taylor expansion of 1.0 in x 6.719 * [taylor]: Taking taylor expansion of 1.0 in x 7.637 * [approximate]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 7.637 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.637 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 7.637 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.637 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.637 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.637 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.637 * [taylor]: Taking taylor expansion of 0.5 in x 7.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.637 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.637 * [taylor]: Taking taylor expansion of 1.0 in x 7.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.638 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.638 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.638 * [taylor]: Taking taylor expansion of 1.0 in x 7.638 * [taylor]: Taking taylor expansion of 1.0 in x 7.638 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.638 * [taylor]: Taking taylor expansion of x in x 7.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.638 * [taylor]: Taking taylor expansion of x in x 7.641 * [taylor]: Taking taylor expansion of 1.0 in x 7.641 * [taylor]: Taking taylor expansion of 1.0 in x 7.646 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.646 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.646 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.646 * [taylor]: Taking taylor expansion of 1.0 in x 7.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.646 * [taylor]: Taking taylor expansion of 1.0 in x 7.647 * [taylor]: Taking taylor expansion of 1.0 in x 7.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.647 * [taylor]: Taking taylor expansion of x in x 7.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.647 * [taylor]: Taking taylor expansion of x in x 7.650 * [taylor]: Taking taylor expansion of 1.0 in x 7.652 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.652 * [taylor]: Taking taylor expansion of 0.5 in x 7.652 * [taylor]: Taking taylor expansion of 1.0 in x 7.656 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.656 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 7.656 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.656 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.656 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.656 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.656 * [taylor]: Taking taylor expansion of 0.5 in x 7.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.656 * [taylor]: Taking taylor expansion of 1.0 in x 7.656 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.656 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.657 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.657 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.657 * [taylor]: Taking taylor expansion of 1.0 in x 7.657 * [taylor]: Taking taylor expansion of 1.0 in x 7.657 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.657 * [taylor]: Taking taylor expansion of x in x 7.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.657 * [taylor]: Taking taylor expansion of x in x 7.660 * [taylor]: Taking taylor expansion of 1.0 in x 7.660 * [taylor]: Taking taylor expansion of 1.0 in x 7.672 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.672 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.672 * [taylor]: Taking taylor expansion of 1.0 in x 7.672 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.672 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.673 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.673 * [taylor]: Taking taylor expansion of 1.0 in x 7.673 * [taylor]: Taking taylor expansion of 1.0 in x 7.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.673 * [taylor]: Taking taylor expansion of x in x 7.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.673 * [taylor]: Taking taylor expansion of x in x 7.676 * [taylor]: Taking taylor expansion of 1.0 in x 7.678 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.678 * [taylor]: Taking taylor expansion of 0.5 in x 7.678 * [taylor]: Taking taylor expansion of 1.0 in x 7.874 * [approximate]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 7.875 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.875 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 7.875 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.875 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.875 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.875 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.875 * [taylor]: Taking taylor expansion of 0.5 in x 7.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.875 * [taylor]: Taking taylor expansion of 1.0 in x 7.875 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.875 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.875 * [taylor]: Taking taylor expansion of 1.0 in x 7.875 * [taylor]: Taking taylor expansion of 1.0 in x 7.875 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.875 * [taylor]: Taking taylor expansion of -1 in x 7.875 * [taylor]: Taking taylor expansion of x in x 7.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.875 * [taylor]: Taking taylor expansion of -1 in x 7.875 * [taylor]: Taking taylor expansion of x in x 7.878 * [taylor]: Taking taylor expansion of 1.0 in x 7.878 * [taylor]: Taking taylor expansion of 1.0 in x 7.884 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.884 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.884 * [taylor]: Taking taylor expansion of 1.0 in x 7.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.884 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.884 * [taylor]: Taking taylor expansion of 1.0 in x 7.884 * [taylor]: Taking taylor expansion of 1.0 in x 7.884 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.884 * [taylor]: Taking taylor expansion of -1 in x 7.884 * [taylor]: Taking taylor expansion of x in x 7.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.884 * [taylor]: Taking taylor expansion of -1 in x 7.884 * [taylor]: Taking taylor expansion of x in x 7.887 * [taylor]: Taking taylor expansion of 1.0 in x 7.889 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.889 * [taylor]: Taking taylor expansion of 0.5 in x 7.890 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of (* (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.894 * [taylor]: Taking taylor expansion of (sqrt (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 7.894 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.894 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.894 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.894 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.894 * [taylor]: Taking taylor expansion of 0.5 in x 7.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.894 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.894 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.894 * [taylor]: Taking taylor expansion of -1 in x 7.894 * [taylor]: Taking taylor expansion of x in x 7.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.895 * [taylor]: Taking taylor expansion of -1 in x 7.895 * [taylor]: Taking taylor expansion of x in x 7.897 * [taylor]: Taking taylor expansion of 1.0 in x 7.898 * [taylor]: Taking taylor expansion of 1.0 in x 7.903 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.903 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.903 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.903 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.903 * [taylor]: Taking taylor expansion of 1.0 in x 7.903 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.903 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.903 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.903 * [taylor]: Taking taylor expansion of 1.0 in x 7.903 * [taylor]: Taking taylor expansion of 1.0 in x 7.903 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.903 * [taylor]: Taking taylor expansion of -1 in x 7.903 * [taylor]: Taking taylor expansion of x in x 7.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.903 * [taylor]: Taking taylor expansion of -1 in x 7.903 * [taylor]: Taking taylor expansion of x in x 7.906 * [taylor]: Taking taylor expansion of 1.0 in x 7.915 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.915 * [taylor]: Taking taylor expansion of 0.5 in x 7.916 * [taylor]: Taking taylor expansion of 1.0 in x 8.111 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.113 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 8.113 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 8.113 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.113 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.113 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.113 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.113 * [taylor]: Taking taylor expansion of 0.5 in x 8.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.113 * [taylor]: Taking taylor expansion of 1.0 in x 8.113 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.113 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.113 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.113 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.113 * [taylor]: Taking taylor expansion of 1.0 in x 8.113 * [taylor]: Taking taylor expansion of 1.0 in x 8.113 * [taylor]: Taking taylor expansion of (* x x) in x 8.113 * [taylor]: Taking taylor expansion of x in x 8.113 * [taylor]: Taking taylor expansion of x in x 8.116 * [taylor]: Taking taylor expansion of 1.0 in x 8.116 * [taylor]: Taking taylor expansion of 1.0 in x 8.116 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.116 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.116 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.116 * [taylor]: Taking taylor expansion of 0.5 in x 8.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.117 * [taylor]: Taking taylor expansion of 1.0 in x 8.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.117 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.117 * [taylor]: Taking taylor expansion of 1.0 in x 8.117 * [taylor]: Taking taylor expansion of 1.0 in x 8.117 * [taylor]: Taking taylor expansion of (* x x) in x 8.117 * [taylor]: Taking taylor expansion of x in x 8.117 * [taylor]: Taking taylor expansion of x in x 8.120 * [taylor]: Taking taylor expansion of 1.0 in x 8.126 * [taylor]: Taking taylor expansion of 1.0 in x 8.145 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 8.145 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.145 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.145 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.145 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.145 * [taylor]: Taking taylor expansion of 0.5 in x 8.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.145 * [taylor]: Taking taylor expansion of 1.0 in x 8.145 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.145 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.145 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.145 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.145 * [taylor]: Taking taylor expansion of 1.0 in x 8.145 * [taylor]: Taking taylor expansion of 1.0 in x 8.145 * [taylor]: Taking taylor expansion of (* x x) in x 8.145 * [taylor]: Taking taylor expansion of x in x 8.145 * [taylor]: Taking taylor expansion of x in x 8.148 * [taylor]: Taking taylor expansion of 1.0 in x 8.148 * [taylor]: Taking taylor expansion of 1.0 in x 8.148 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.148 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.148 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.148 * [taylor]: Taking taylor expansion of 0.5 in x 8.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.149 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.149 * [taylor]: Taking taylor expansion of 1.0 in x 8.149 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.149 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.149 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.149 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.149 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.149 * [taylor]: Taking taylor expansion of 1.0 in x 8.149 * [taylor]: Taking taylor expansion of 1.0 in x 8.150 * [taylor]: Taking taylor expansion of (* x x) in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.152 * [taylor]: Taking taylor expansion of 1.0 in x 8.165 * [taylor]: Taking taylor expansion of 1.0 in x 8.996 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 8.996 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.997 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.997 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.997 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.997 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.997 * [taylor]: Taking taylor expansion of 0.5 in x 8.997 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.997 * [taylor]: Taking taylor expansion of 1.0 in x 8.997 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.997 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.997 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.997 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.997 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.997 * [taylor]: Taking taylor expansion of 1.0 in x 8.997 * [taylor]: Taking taylor expansion of 1.0 in x 8.997 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.997 * [taylor]: Taking taylor expansion of x in x 8.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.997 * [taylor]: Taking taylor expansion of x in x 9.000 * [taylor]: Taking taylor expansion of 1.0 in x 9.000 * [taylor]: Taking taylor expansion of 1.0 in x 9.001 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.001 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.001 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.001 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.001 * [taylor]: Taking taylor expansion of 1.0 in x 9.001 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.001 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.001 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.001 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.001 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.001 * [taylor]: Taking taylor expansion of 1.0 in x 9.001 * [taylor]: Taking taylor expansion of 1.0 in x 9.001 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.001 * [taylor]: Taking taylor expansion of x in x 9.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.001 * [taylor]: Taking taylor expansion of x in x 9.004 * [taylor]: Taking taylor expansion of 1.0 in x 9.006 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.006 * [taylor]: Taking taylor expansion of 0.5 in x 9.007 * [taylor]: Taking taylor expansion of 1.0 in x 9.012 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.012 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 9.012 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 9.012 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.012 * [taylor]: Taking taylor expansion of (- 0.5) in x 9.012 * [taylor]: Taking taylor expansion of 0.5 in x 9.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.012 * [taylor]: Taking taylor expansion of 1.0 in x 9.012 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.012 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.012 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.012 * [taylor]: Taking taylor expansion of 1.0 in x 9.012 * [taylor]: Taking taylor expansion of 1.0 in x 9.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.012 * [taylor]: Taking taylor expansion of x in x 9.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.012 * [taylor]: Taking taylor expansion of x in x 9.015 * [taylor]: Taking taylor expansion of 1.0 in x 9.015 * [taylor]: Taking taylor expansion of 1.0 in x 9.015 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.015 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.015 * [taylor]: Taking taylor expansion of 1.0 in x 9.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.015 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.016 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.016 * [taylor]: Taking taylor expansion of 1.0 in x 9.016 * [taylor]: Taking taylor expansion of 1.0 in x 9.016 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.016 * [taylor]: Taking taylor expansion of x in x 9.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.016 * [taylor]: Taking taylor expansion of x in x 9.019 * [taylor]: Taking taylor expansion of 1.0 in x 9.021 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.021 * [taylor]: Taking taylor expansion of 0.5 in x 9.021 * [taylor]: Taking taylor expansion of 1.0 in x 9.163 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 9.163 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.163 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 9.163 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 9.163 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.163 * [taylor]: Taking taylor expansion of (- 0.5) in x 9.163 * [taylor]: Taking taylor expansion of 0.5 in x 9.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.164 * [taylor]: Taking taylor expansion of 1.0 in x 9.164 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.164 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.164 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.164 * [taylor]: Taking taylor expansion of 1.0 in x 9.164 * [taylor]: Taking taylor expansion of 1.0 in x 9.164 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.164 * [taylor]: Taking taylor expansion of -1 in x 9.164 * [taylor]: Taking taylor expansion of x in x 9.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.164 * [taylor]: Taking taylor expansion of -1 in x 9.164 * [taylor]: Taking taylor expansion of x in x 9.167 * [taylor]: Taking taylor expansion of 1.0 in x 9.167 * [taylor]: Taking taylor expansion of 1.0 in x 9.167 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.167 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.167 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.167 * [taylor]: Taking taylor expansion of 1.0 in x 9.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.168 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.168 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.168 * [taylor]: Taking taylor expansion of 1.0 in x 9.168 * [taylor]: Taking taylor expansion of 1.0 in x 9.168 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.168 * [taylor]: Taking taylor expansion of -1 in x 9.168 * [taylor]: Taking taylor expansion of x in x 9.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.168 * [taylor]: Taking taylor expansion of -1 in x 9.168 * [taylor]: Taking taylor expansion of x in x 9.172 * [taylor]: Taking taylor expansion of 1.0 in x 9.173 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.173 * [taylor]: Taking taylor expansion of 0.5 in x 9.174 * [taylor]: Taking taylor expansion of 1.0 in x 9.179 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.179 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 9.179 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 9.179 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.179 * [taylor]: Taking taylor expansion of (- 0.5) in x 9.179 * [taylor]: Taking taylor expansion of 0.5 in x 9.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.179 * [taylor]: Taking taylor expansion of 1.0 in x 9.179 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.179 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.180 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.180 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.180 * [taylor]: Taking taylor expansion of 1.0 in x 9.180 * [taylor]: Taking taylor expansion of 1.0 in x 9.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.180 * [taylor]: Taking taylor expansion of -1 in x 9.180 * [taylor]: Taking taylor expansion of x in x 9.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.180 * [taylor]: Taking taylor expansion of -1 in x 9.180 * [taylor]: Taking taylor expansion of x in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.183 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.183 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.183 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.183 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.183 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of 1.0 in x 9.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.183 * [taylor]: Taking taylor expansion of -1 in x 9.183 * [taylor]: Taking taylor expansion of x in x 9.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.184 * [taylor]: Taking taylor expansion of -1 in x 9.184 * [taylor]: Taking taylor expansion of x in x 9.187 * [taylor]: Taking taylor expansion of 1.0 in x 9.189 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.189 * [taylor]: Taking taylor expansion of 0.5 in x 9.189 * [taylor]: Taking taylor expansion of 1.0 in x 9.332 * * * [progress]: simplifying candidates 9.335 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (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 (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 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1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))) (- (- (+ (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0)))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5)) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (+ (+ (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (fma (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) 0.5 (fma (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5 (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))) 9.388 * * * [progress]: adding candidates to table 9.894 * [progress]: [Phase 3 of 3] Extracting. 9.894 * * [regime]: Finding splitpoints for: (# # # # #) 9.911 * * * [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) 9.911 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 9.966 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 9.983 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 10.041 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 10.058 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 10.111 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 10.131 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.192 * * * [regime]: Found split indices: #