26.650 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.035 * * [simplify]: iteration 1 : 19 enodes (cost 12 ) 0.037 * * [simplify]: iteration 2 : 24 enodes (cost 12 ) 0.041 * * [simplify]: iteration 3 : 30 enodes (cost 12 ) 0.044 * * [simplify]: iteration 4 : 32 enodes (cost 12 ) 0.049 * * [simplify]: iteration 5 : 38 enodes (cost 12 ) 0.054 * * [simplify]: iteration 6 : 41 enodes (cost 12 ) 0.059 * * [simplify]: iteration done : 41 enodes (cost 12 ) 0.059 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.072 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 2) 0.075 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.084 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.085 * [taylor]: Taking taylor expansion of 0.5 in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.086 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.086 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* x x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.089 * [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 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.097 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.097 * [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 0.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [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 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.341 * [taylor]: Taking taylor expansion of 0.5 in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 2) 0.440 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* x x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.443 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (* x x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [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 0.485 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [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 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.518 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.545 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.546 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.546 * [taylor]: Taking taylor expansion of 0.5 in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.547 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (* x x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.555 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.556 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.556 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (* x x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.754 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.760 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.765 * [taylor]: Taking taylor expansion of 0.5 in x 0.790 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.790 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 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 (* (/ -1 x) (/ -1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.795 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.796 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.802 * [taylor]: Taking taylor expansion of 0.5 in x 0.825 * * * [progress]: simplifying candidates 0.828 * [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) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 0.841 * * [simplify]: iteration 0 : 207 enodes (cost 2042 ) 0.899 * * [simplify]: iteration 1 : 487 enodes (cost 1618 ) 1.121 * * [simplify]: iteration 2 : 1465 enodes (cost 1398 ) 1.547 * * [simplify]: iteration done : 5001 enodes (cost 1381 ) 1.548 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0)))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (- (fma (* 0.03125 (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3))) 1.0) (* (sqrt 0.5) (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)))) (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5)))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (/ 0.5 (pow x 3)) (+ (/ 1.0 x) (/ 0.375 (pow x 5)))) (fma (sqrt 0.5) (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (- (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) (* (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3))) (* 0.03125 (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3)))))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.549 * * * [progress]: adding candidates to table 1.750 * * [progress]: iteration 2 / 4 1.750 * * * [progress]: picking best candidate 1.768 * * * * [pick]: Picked # 1.768 * * * [progress]: localizing error 1.780 * * * [progress]: generating rewritten candidates 1.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 1.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.793 * * * [progress]: generating series expansions 1.793 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.794 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 1.794 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.794 * [taylor]: Taking taylor expansion of 0.5 in x 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.794 * [taylor]: Taking taylor expansion of 0.5 in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.794 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [taylor]: Taking taylor expansion of (* x x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.797 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.797 * [taylor]: Taking taylor expansion of 0.5 in x 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.797 * [taylor]: Taking taylor expansion of 0.5 in x 1.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.797 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.798 * [taylor]: Taking taylor expansion of 1.0 in x 1.798 * [taylor]: Taking taylor expansion of 1.0 in x 1.798 * [taylor]: Taking taylor expansion of (* x x) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.871 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.871 * [taylor]: Taking taylor expansion of 0.5 in x 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.871 * [taylor]: Taking taylor expansion of 0.5 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.874 * [taylor]: Taking taylor expansion of 0.5 in x 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.874 * [taylor]: Taking taylor expansion of 0.5 in x 1.874 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.874 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.889 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.889 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.889 * [taylor]: Taking taylor expansion of 0.5 in x 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.889 * [taylor]: Taking taylor expansion of 0.5 in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.889 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.889 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.890 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.890 * [taylor]: Taking taylor expansion of -1 in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.890 * [taylor]: Taking taylor expansion of -1 in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.893 * [taylor]: Taking taylor expansion of 0.5 in x 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.893 * [taylor]: Taking taylor expansion of 0.5 in x 1.893 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.893 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.893 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.893 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.893 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.893 * [taylor]: Taking taylor expansion of -1 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.894 * [taylor]: Taking taylor expansion of -1 in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.907 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.908 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.908 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (* x x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.911 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (* x x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.957 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (/ 1.0 (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 (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 x in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.960 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.960 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 x) 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 x in x 1.983 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.983 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.983 * [taylor]: Taking taylor expansion of 1.0 in x 1.983 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.983 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.983 * [taylor]: Taking taylor expansion of 1.0 in x 1.983 * [taylor]: Taking taylor expansion of 1.0 in x 1.983 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.983 * [taylor]: Taking taylor expansion of -1 in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.983 * [taylor]: Taking taylor expansion of -1 in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.987 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.987 * [taylor]: Taking taylor expansion of -1 in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.987 * [taylor]: Taking taylor expansion of -1 in x 1.987 * [taylor]: Taking taylor expansion of x in x 2.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 2.017 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.017 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.017 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [taylor]: Taking taylor expansion of (* x x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.020 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.020 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.020 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.020 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * [taylor]: Taking taylor expansion of (* x x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.060 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.060 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.060 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.060 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.064 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.064 * [taylor]: Taking taylor expansion of 1.0 in x 2.064 * [taylor]: Taking taylor expansion of 1.0 in x 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.086 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.086 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.086 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.090 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.090 * [taylor]: Taking taylor expansion of -1 in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.091 * [taylor]: Taking taylor expansion of -1 in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.120 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.120 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 2.120 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.121 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.121 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.121 * [taylor]: Taking taylor expansion of 0.5 in x 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.121 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.121 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) 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))) 2.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.122 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of (* x x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.124 * [taylor]: Taking taylor expansion of 1.0 in x 2.130 * [taylor]: Taking taylor expansion of 1.0 in x 2.131 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.131 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.131 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.131 * [taylor]: Taking taylor expansion of 0.5 in x 2.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.132 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.132 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.132 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.132 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.132 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.132 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.132 * [taylor]: Taking taylor expansion of (* x x) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.141 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.361 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.361 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.362 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.362 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.362 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.367 * [taylor]: Taking taylor expansion of 0.5 in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.368 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.373 * [taylor]: Taking taylor expansion of 0.5 in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.404 * [taylor]: Taking taylor expansion of -1 in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.404 * [taylor]: Taking taylor expansion of -1 in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.409 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.409 * [taylor]: Taking taylor expansion of 0.5 in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.410 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.410 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.410 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.411 * [taylor]: Taking taylor expansion of -1 in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.411 * [taylor]: Taking taylor expansion of -1 in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.416 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.416 * [taylor]: Taking taylor expansion of 0.5 in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * * * [progress]: simplifying candidates 2.455 * [simplify]: Simplifying using # : (fma 1.0 1.0 (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log1p (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (/ (exp (* 1.0 1.0)) (exp (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (exp (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (* (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (pow (* 1.0 1.0) 3) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (+ (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (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))))))) (* (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)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 2.461 * * [simplify]: iteration 0 : 190 enodes (cost 1534 ) 2.514 * * [simplify]: iteration 1 : 490 enodes (cost 1450 ) 2.779 * * [simplify]: iteration 2 : 1599 enodes (cost 1315 ) 3.214 * * [simplify]: iteration done : 5001 enodes (cost 1315 ) 3.215 * [simplify]: Simplified to: (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ (- 0.5) 0.5)) (expm1 (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log1p (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (exp (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (pow (- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (fma (pow 1.0 3) 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))))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* (pow 1.0 3) 1.0) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (fma 1.0 1.0 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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))))))) (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 (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* 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)))))) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.25 (- 0.5 (fma 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 0.5 (sqrt 1.0))))) (- (+ (/ 0.25 (pow x 3)) 0.5) (/ 0.5 x)) (- (+ 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (/ 0.5 (pow x 3)) (+ (/ 0.375 (pow x 5)) (/ 1.0 x))) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (/ 0.5 (pow x 3)) (+ (/ 0.375 (pow x 5)) (/ 1.0 x))) (fma (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (sqrt 0.5) (- (fma (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) 0.1875 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (* (* (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) 0.03125)))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 3.216 * * * [progress]: adding candidates to table 3.550 * * [progress]: iteration 3 / 4 3.550 * * * [progress]: picking best candidate 3.563 * * * * [pick]: Picked # 3.563 * * * [progress]: localizing error 3.581 * * * [progress]: generating rewritten candidates 3.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.584 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 3.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) 3.601 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.619 * * * [progress]: generating series expansions 3.619 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.620 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 3.620 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 3.620 * [taylor]: Taking taylor expansion of 0.5 in x 3.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 3.620 * [taylor]: Taking taylor expansion of 0.5 in x 3.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.620 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.621 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.621 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.621 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.621 * [taylor]: Taking taylor expansion of 1.0 in x 3.621 * [taylor]: Taking taylor expansion of 1.0 in x 3.621 * [taylor]: Taking taylor expansion of (* x x) in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.624 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 3.624 * [taylor]: Taking taylor expansion of 0.5 in x 3.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 3.624 * [taylor]: Taking taylor expansion of 0.5 in x 3.624 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.624 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.624 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.624 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.624 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of (* x x) in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.701 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 3.701 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 3.701 * [taylor]: Taking taylor expansion of 0.5 in x 3.701 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.701 * [taylor]: Taking taylor expansion of 0.5 in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.701 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.701 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.701 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.701 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.701 * [taylor]: Taking taylor expansion of 1.0 in x 3.701 * [taylor]: Taking taylor expansion of 1.0 in x 3.701 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.705 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 3.705 * [taylor]: Taking taylor expansion of 0.5 in x 3.705 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.705 * [taylor]: Taking taylor expansion of 0.5 in x 3.705 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.705 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.705 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.705 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.719 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 3.720 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 3.720 * [taylor]: Taking taylor expansion of 0.5 in x 3.720 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.720 * [taylor]: Taking taylor expansion of 0.5 in x 3.720 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.720 * [taylor]: Taking taylor expansion of 1.0 in x 3.720 * [taylor]: Taking taylor expansion of 1.0 in x 3.720 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.720 * [taylor]: Taking taylor expansion of -1 in x 3.720 * [taylor]: Taking taylor expansion of x in x 3.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.720 * [taylor]: Taking taylor expansion of -1 in x 3.720 * [taylor]: Taking taylor expansion of x in x 3.723 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 3.723 * [taylor]: Taking taylor expansion of 0.5 in x 3.723 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.723 * [taylor]: Taking taylor expansion of 0.5 in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.724 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.724 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.724 * [taylor]: Taking taylor expansion of 1.0 in x 3.724 * [taylor]: Taking taylor expansion of 1.0 in x 3.724 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.724 * [taylor]: Taking taylor expansion of -1 in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.724 * [taylor]: Taking taylor expansion of -1 in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 3.738 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.738 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.738 * [taylor]: Taking taylor expansion of 1.0 in x 3.738 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.739 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.739 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.739 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.739 * [taylor]: Taking taylor expansion of 1.0 in x 3.739 * [taylor]: Taking taylor expansion of 1.0 in x 3.739 * [taylor]: Taking taylor expansion of (* x x) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.741 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.742 * [taylor]: Taking taylor expansion of 1.0 in x 3.742 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.742 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.742 * [taylor]: Taking taylor expansion of 1.0 in x 3.742 * [taylor]: Taking taylor expansion of 1.0 in x 3.742 * [taylor]: Taking taylor expansion of (* x x) in x 3.742 * [taylor]: Taking taylor expansion of x in x 3.742 * [taylor]: Taking taylor expansion of x in x 3.788 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.789 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.789 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.789 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.789 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [taylor]: Taking taylor expansion of 1.0 in x 3.789 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.792 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.792 * [taylor]: Taking taylor expansion of 1.0 in x 3.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.793 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.793 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.793 * [taylor]: Taking taylor expansion of 1.0 in x 3.793 * [taylor]: Taking taylor expansion of 1.0 in x 3.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.793 * [taylor]: Taking taylor expansion of x in x 3.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.793 * [taylor]: Taking taylor expansion of x in x 3.816 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.816 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.816 * [taylor]: Taking taylor expansion of 1.0 in x 3.816 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.816 * [taylor]: Taking taylor expansion of 1.0 in x 3.816 * [taylor]: Taking taylor expansion of 1.0 in x 3.816 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.816 * [taylor]: Taking taylor expansion of -1 in x 3.816 * [taylor]: Taking taylor expansion of x in x 3.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.817 * [taylor]: Taking taylor expansion of -1 in x 3.817 * [taylor]: Taking taylor expansion of x in x 3.820 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.820 * [taylor]: Taking taylor expansion of 1.0 in x 3.820 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.820 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.820 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.820 * [taylor]: Taking taylor expansion of 1.0 in x 3.820 * [taylor]: Taking taylor expansion of 1.0 in x 3.820 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.820 * [taylor]: Taking taylor expansion of -1 in x 3.820 * [taylor]: Taking taylor expansion of x in x 3.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.821 * [taylor]: Taking taylor expansion of -1 in x 3.821 * [taylor]: Taking taylor expansion of x in x 3.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1) 3.850 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 x)))) in (x) around 0 3.850 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 x)))) in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 3.850 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.850 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.850 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.850 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [taylor]: Taking taylor expansion of (* x x) in x 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [taylor]: Taking taylor expansion of x in x 3.855 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 x)))) in x 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 3.855 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.855 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.855 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.855 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.855 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.855 * [taylor]: Taking taylor expansion of (* x x) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.941 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 3.941 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ 1 x))))) in x 3.941 * [taylor]: Taking taylor expansion of 1.0 in x 3.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.941 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.941 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.941 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.941 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.941 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.941 * [taylor]: Taking taylor expansion of 1.0 in x 3.941 * [taylor]: Taking taylor expansion of 1.0 in x 3.941 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.941 * [taylor]: Taking taylor expansion of x in x 3.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.941 * [taylor]: Taking taylor expansion of x in x 3.946 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ 1 x))))) in x 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.946 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.946 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.946 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.946 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.946 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.967 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 3.967 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 3.967 * [taylor]: Taking taylor expansion of 1.0 in x 3.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.967 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.967 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.967 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.967 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.967 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.967 * [taylor]: Taking taylor expansion of 1.0 in x 3.967 * [taylor]: Taking taylor expansion of 1.0 in x 3.967 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.967 * [taylor]: Taking taylor expansion of -1 in x 3.967 * [taylor]: Taking taylor expansion of x in x 3.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.967 * [taylor]: Taking taylor expansion of -1 in x 3.967 * [taylor]: Taking taylor expansion of x in x 3.971 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 3.971 * [taylor]: Taking taylor expansion of 1.0 in x 3.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [taylor]: Taking taylor expansion of 1.0 in x 3.972 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.972 * [taylor]: Taking taylor expansion of -1 in x 3.972 * [taylor]: Taking taylor expansion of x in x 3.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.972 * [taylor]: Taking taylor expansion of -1 in x 3.972 * [taylor]: Taking taylor expansion of x in x 3.992 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.993 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 3.993 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.993 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.993 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.993 * [taylor]: Taking taylor expansion of 0.5 in x 3.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.994 * [taylor]: Taking taylor expansion of 1.0 in x 3.994 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.994 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.994 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.994 * [taylor]: Taking taylor expansion of 1.0 in x 3.994 * [taylor]: Taking taylor expansion of 1.0 in x 3.994 * [taylor]: Taking taylor expansion of (* x x) in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 4.003 * [taylor]: Taking taylor expansion of 1.0 in x 4.003 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.003 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.003 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.003 * [taylor]: Taking taylor expansion of 0.5 in x 4.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.004 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.004 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [taylor]: Taking taylor expansion of (* x x) in x 4.004 * [taylor]: Taking taylor expansion of x in x 4.004 * [taylor]: Taking taylor expansion of x in x 4.007 * [taylor]: Taking taylor expansion of 1.0 in x 4.020 * [taylor]: Taking taylor expansion of 1.0 in x 4.224 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 4.224 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.224 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.224 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.224 * [taylor]: Taking taylor expansion of 1.0 in x 4.224 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.224 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.224 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.224 * [taylor]: Taking taylor expansion of 1.0 in x 4.224 * [taylor]: Taking taylor expansion of 1.0 in x 4.224 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.224 * [taylor]: Taking taylor expansion of x in x 4.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.225 * [taylor]: Taking taylor expansion of x in x 4.227 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.229 * [taylor]: Taking taylor expansion of 0.5 in x 4.230 * [taylor]: Taking taylor expansion of 1.0 in x 4.230 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.230 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.230 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.230 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.230 * [taylor]: Taking taylor expansion of 1.0 in x 4.230 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.230 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.230 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.230 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.230 * [taylor]: Taking taylor expansion of 1.0 in x 4.230 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.234 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.236 * [taylor]: Taking taylor expansion of 0.5 in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.272 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 4.273 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.273 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.273 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.273 * [taylor]: Taking taylor expansion of 1.0 in x 4.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.273 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.273 * [taylor]: Taking taylor expansion of 1.0 in x 4.273 * [taylor]: Taking taylor expansion of 1.0 in x 4.273 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.273 * [taylor]: Taking taylor expansion of -1 in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.273 * [taylor]: Taking taylor expansion of -1 in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.276 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.280 * [taylor]: Taking taylor expansion of 0.5 in x 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.281 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.281 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.281 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [taylor]: Taking taylor expansion of x in x 4.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [taylor]: Taking taylor expansion of x in x 4.284 * [taylor]: Taking taylor expansion of 1.0 in x 4.286 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.286 * [taylor]: Taking taylor expansion of 0.5 in x 4.287 * [taylor]: Taking taylor expansion of 1.0 in x 4.317 * * * [progress]: simplifying candidates 4.322 * [simplify]: Simplifying using # : (fma 1.0 1.0 (- (* 0.5 (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x))))))) (fma (- 0.5) (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (* 0.5 (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))))) (expm1 (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (log1p (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (- (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (/ (exp (* 1.0 1.0)) (exp (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (log (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (exp (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (* (* (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (- (pow (* 1.0 1.0) 3) (pow (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (* (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)))) (- (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5))) (+ (* 1.0 1.0) (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (- (* (+ 1.0 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) 0.5)) (expm1 (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (log1p (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (- (- (log 1.0) (log (sqrt (hypot 1.0 x)))) (log (sqrt (hypot 1.0 x)))) (- (log (/ 1.0 (sqrt (hypot 1.0 x)))) (log (sqrt (hypot 1.0 x)))) (log (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (exp (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (* (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (/ (* (* (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x)))) (* (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x))) (sqrt (hypot 1.0 x)))) (* (cbrt (/ (/ 1.0 (sqrt 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(- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 4.348 * * [simplify]: iteration 0 : 411 enodes (cost 5989 ) 4.502 * * [simplify]: iteration 1 : 1011 enodes (cost 5095 ) 4.978 * * [simplify]: iteration 2 : 2729 enodes (cost 4691 ) 5.488 * * [simplify]: iteration done : 5000 enodes (cost 4687 ) 5.491 * [simplify]: Simplified to: (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ (- 0.5) 0.5)) (expm1 (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log1p (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (exp (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (log (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (exp (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (cbrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (pow (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 3) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (- (pow 1.0 6) (pow (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) 3)) (fma (pow 1.0 3) 1.0 (* (* (+ 1.0 (/ 1.0 (hypot 1.0 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x))) (/ (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (cbrt (sqrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (fabs (cbrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (fabs (cbrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (sqrt (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 (sqrt (hypot 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(hypot 1.0 x))))) (/ (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ (/ 1 (fabs (cbrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ (/ 1 (fabs (cbrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1 (fabs (cbrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1 (fabs (cbrt (hypot 1.0 x)))) (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1.0 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1 (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (/ 1.0 (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1 (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1 (sqrt (hypot 1.0 x))) (sqrt (sqrt (hypot 1.0 x)))) 1.0 (/ 1 (hypot 1.0 x)) (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (/ (/ 1 (sqrt (hypot 1.0 x))) (sqrt (sqrt (hypot 1.0 x)))) 1.0 (/ 1 (hypot 1.0 x)) (/ 1 (sqrt (hypot 1.0 x))) (/ (hypot 1.0 x) 1.0) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ (/ 1.0 (sqrt (hypot 1.0 x))) (fabs (cbrt (hypot 1.0 x)))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ (sqrt (hypot 1.0 x)) (cbrt (/ 1.0 (sqrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (sqrt (/ 1.0 (sqrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ (cbrt 1.0) (cbrt (sqrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ (cbrt 1.0) (sqrt (cbrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ (cbrt 1.0) (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (sqrt (hypot 1.0 x)) (/ (cbrt 1.0) (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (sqrt (hypot 1.0 x)) (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ (sqrt 1.0) (sqrt (cbrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (sqrt (hypot 1.0 x)) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (sqrt (hypot 1.0 x)) (/ 1.0 (cbrt (sqrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ 1.0 (sqrt (cbrt (hypot 1.0 x))))) (/ (sqrt (hypot 1.0 x)) (/ 1.0 (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) 1.0) (/ (sqrt (hypot 1.0 x)) (/ 1.0 (sqrt (sqrt (hypot 1.0 x))))) (/ (hypot 1.0 x) 1.0) (/ (hypot 1.0 x) 1.0) (hypot 1.0 x) (hypot 1.0 x) (expm1 (/ 1.0 (sqrt (hypot 1.0 x)))) (log1p (/ 1.0 (sqrt (hypot 1.0 x)))) (log (/ 1.0 (sqrt (hypot 1.0 x)))) (log (/ 1.0 (sqrt (hypot 1.0 x)))) (exp (/ 1.0 (sqrt (hypot 1.0 x)))) (pow (/ 1.0 (sqrt (hypot 1.0 x))) 3) (* (cbrt (/ 1.0 (sqrt (hypot 1.0 x)))) (cbrt (/ 1.0 (sqrt (hypot 1.0 x))))) (cbrt (/ 1.0 (sqrt (hypot 1.0 x)))) (pow (/ 1.0 (sqrt (hypot 1.0 x))) 3) (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) (- 1.0) (- (sqrt (hypot 1.0 x))) (* (/ (cbrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (sqrt (hypot 1.0 x))))) (/ (cbrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (sqrt (cbrt (hypot 1.0 x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (hypot 1.0 x)))) (/ (cbrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (hypot 1.0 x)))) (/ (cbrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (cbrt (sqrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (sqrt (hypot 1.0 x)))) (/ (sqrt 1.0) (fabs (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (sqrt (hypot 1.0 x)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ 1 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ 1.0 (cbrt (sqrt (hypot 1.0 x)))) (/ 1 (fabs (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) 1 (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (sqrt (hypot 1.0 x)))) (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) 1 (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ (sqrt (hypot 1.0 x)) 1.0) (/ 1.0 (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))))) (/ 1.0 (fabs (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) 1.0 (/ 1.0 (sqrt (sqrt (hypot 1.0 x)))) 1.0 (/ (sqrt (hypot 1.0 x)) (cbrt 1.0)) (/ (sqrt (hypot 1.0 x)) (sqrt 1.0)) (/ (sqrt (hypot 1.0 x)) 1.0) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (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 (- (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) 0.5) (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.1875 (/ 0.5 (sqrt 1.0)))) (+ 0.5 (- (/ 0.25 (pow x 3)) (/ 0.5 x))) (+ 0.5 (- (/ 0.5 x) (/ 0.25 (pow x 3)))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 0.375 (pow x 5))) (/ 1.0 x)) (- (fma 0.15625 (* (pow x 4) (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (* 1.0 (sqrt (/ 1 (sqrt 1.0))))) (* 0.25 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) (- (- (/ +nan.0 x) (/ +nan.0 (pow x 3))) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) (/ +nan.0 (pow x 3))) (/ +nan.0 (pow x 2))) (- (fma (sqrt (+ 1.0 (/ 1.0 (sqrt 1.0)))) (sqrt 0.5) (fma (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) 1.0)) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ 1.0 (/ 1.0 (sqrt 1.0))))) (* (* 0.03125 (sqrt (/ 1 (pow (+ 1.0 (/ 1.0 (sqrt 1.0))) 3)))) (/ (pow x 4) (/ (pow 1.0 3) (sqrt 0.5)))))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 5.493 * * * [progress]: adding candidates to table 6.106 * * [progress]: iteration 4 / 4 6.106 * * * [progress]: picking best candidate 6.117 * * * * [pick]: Picked # 6.117 * * * [progress]: localizing error 6.128 * * * [progress]: generating rewritten candidates 6.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.132 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.146 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 2) 6.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 6.160 * * * [progress]: generating series expansions 6.160 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.160 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 6.160 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.160 * [taylor]: Taking taylor expansion of 1.0 in x 6.160 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.160 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.160 * [taylor]: Taking taylor expansion of 0.5 in x 6.161 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.161 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.161 * [taylor]: Taking taylor expansion of 1.0 in x 6.161 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.161 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.161 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.161 * [taylor]: Taking taylor expansion of 1.0 in x 6.161 * [taylor]: Taking taylor expansion of 1.0 in x 6.161 * [taylor]: Taking taylor expansion of (* x x) in x 6.161 * [taylor]: Taking taylor expansion of x in x 6.161 * [taylor]: Taking taylor expansion of x in x 6.164 * [taylor]: Taking taylor expansion of 1.0 in x 6.170 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.170 * [taylor]: Taking taylor expansion of 1.0 in x 6.170 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.170 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.170 * [taylor]: Taking taylor expansion of 0.5 in x 6.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.171 * [taylor]: Taking taylor expansion of 1.0 in x 6.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.171 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.171 * [taylor]: Taking taylor expansion of 1.0 in x 6.171 * [taylor]: Taking taylor expansion of 1.0 in x 6.171 * [taylor]: Taking taylor expansion of (* x x) in x 6.171 * [taylor]: Taking taylor expansion of x in x 6.171 * [taylor]: Taking taylor expansion of x in x 6.174 * [taylor]: Taking taylor expansion of 1.0 in x 6.423 * [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 6.424 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.424 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of 1.0 in x 6.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.427 * [taylor]: Taking taylor expansion of 1.0 in x 6.429 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.429 * [taylor]: Taking taylor expansion of 0.5 in x 6.430 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.430 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.430 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.430 * [taylor]: Taking taylor expansion of 1.0 in x 6.430 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.434 * [taylor]: Taking taylor expansion of 1.0 in x 6.436 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.436 * [taylor]: Taking taylor expansion of 0.5 in x 6.473 * [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 6.473 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.473 * [taylor]: Taking taylor expansion of 1.0 in x 6.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.479 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.479 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.479 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.479 * [taylor]: Taking taylor expansion of 1.0 in x 6.480 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.480 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.480 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.480 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.480 * [taylor]: Taking taylor expansion of 1.0 in x 6.480 * [taylor]: Taking taylor expansion of 1.0 in x 6.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.480 * [taylor]: Taking taylor expansion of -1 in x 6.480 * [taylor]: Taking taylor expansion of x in x 6.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.480 * [taylor]: Taking taylor expansion of -1 in x 6.480 * [taylor]: Taking taylor expansion of x in x 6.483 * [taylor]: Taking taylor expansion of 1.0 in x 6.486 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.486 * [taylor]: Taking taylor expansion of 0.5 in x 6.486 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.486 * [taylor]: Taking taylor expansion of 1.0 in x 6.486 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.486 * [taylor]: Taking taylor expansion of 1.0 in x 6.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.487 * [taylor]: Taking taylor expansion of 1.0 in x 6.487 * [taylor]: Taking taylor expansion of 1.0 in x 6.487 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.487 * [taylor]: Taking taylor expansion of -1 in x 6.487 * [taylor]: Taking taylor expansion of x in x 6.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.487 * [taylor]: Taking taylor expansion of -1 in x 6.487 * [taylor]: Taking taylor expansion of x in x 6.490 * [taylor]: Taking taylor expansion of 1.0 in x 6.492 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.492 * [taylor]: Taking taylor expansion of 0.5 in x 6.527 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.528 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 6.528 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.528 * [taylor]: Taking taylor expansion of 1.0 in x 6.528 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.528 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.528 * [taylor]: Taking taylor expansion of 0.5 in x 6.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.528 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.528 * [taylor]: Taking taylor expansion of 1.0 in x 6.528 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.529 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.529 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.529 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.529 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.529 * [taylor]: Taking taylor expansion of 1.0 in x 6.529 * [taylor]: Taking taylor expansion of 1.0 in x 6.529 * [taylor]: Taking taylor expansion of (* x x) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.531 * [taylor]: Taking taylor expansion of 1.0 in x 6.537 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 6.537 * [taylor]: Taking taylor expansion of 1.0 in x 6.537 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.537 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.537 * [taylor]: Taking taylor expansion of 0.5 in x 6.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.538 * [taylor]: Taking taylor expansion of 1.0 in x 6.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.538 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.538 * [taylor]: Taking taylor expansion of 1.0 in x 6.538 * [taylor]: Taking taylor expansion of 1.0 in x 6.538 * [taylor]: Taking taylor expansion of (* x x) in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.541 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [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 6.788 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.788 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.788 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.788 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.788 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.788 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.788 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.788 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [taylor]: Taking taylor expansion of 1.0 in x 6.788 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.788 * [taylor]: Taking taylor expansion of x in x 6.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.789 * [taylor]: Taking taylor expansion of x in x 6.792 * [taylor]: Taking taylor expansion of 1.0 in x 6.793 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.793 * [taylor]: Taking taylor expansion of 0.5 in x 6.794 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 6.794 * [taylor]: Taking taylor expansion of 1.0 in x 6.794 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.794 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.794 * [taylor]: Taking taylor expansion of 1.0 in x 6.794 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.794 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.794 * [taylor]: Taking taylor expansion of 1.0 in x 6.794 * [taylor]: Taking taylor expansion of 1.0 in x 6.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.795 * [taylor]: Taking taylor expansion of x in x 6.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.795 * [taylor]: Taking taylor expansion of x in x 6.798 * [taylor]: Taking taylor expansion of 1.0 in x 6.800 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.800 * [taylor]: Taking taylor expansion of 0.5 in x 6.842 * [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 6.842 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.842 * [taylor]: Taking taylor expansion of 1.0 in x 6.842 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.843 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.843 * [taylor]: Taking taylor expansion of 1.0 in x 6.843 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.843 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.843 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.843 * [taylor]: Taking taylor expansion of 1.0 in x 6.843 * [taylor]: Taking taylor expansion of 1.0 in x 6.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.843 * [taylor]: Taking taylor expansion of -1 in x 6.843 * [taylor]: Taking taylor expansion of x in x 6.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.843 * [taylor]: Taking taylor expansion of -1 in x 6.843 * [taylor]: Taking taylor expansion of x in x 6.847 * [taylor]: Taking taylor expansion of 1.0 in x 6.849 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.849 * [taylor]: Taking taylor expansion of 0.5 in x 6.849 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 6.849 * [taylor]: Taking taylor expansion of 1.0 in x 6.849 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.849 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.849 * [taylor]: Taking taylor expansion of 1.0 in x 6.849 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.849 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.850 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.850 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.850 * [taylor]: Taking taylor expansion of 1.0 in x 6.850 * [taylor]: Taking taylor expansion of 1.0 in x 6.850 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.850 * [taylor]: Taking taylor expansion of -1 in x 6.850 * [taylor]: Taking taylor expansion of x in x 6.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.850 * [taylor]: Taking taylor expansion of -1 in x 6.850 * [taylor]: Taking taylor expansion of x in x 6.853 * [taylor]: Taking taylor expansion of 1.0 in x 6.855 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.855 * [taylor]: Taking taylor expansion of 0.5 in x 6.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 2) 6.899 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 6.899 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.899 * [taylor]: Taking taylor expansion of 1.0 in x 6.899 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.899 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.899 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.899 * [taylor]: Taking taylor expansion of 1.0 in x 6.899 * [taylor]: Taking taylor expansion of 1.0 in x 6.899 * [taylor]: Taking taylor expansion of (* x x) in x 6.899 * [taylor]: Taking taylor expansion of x in x 6.899 * [taylor]: Taking taylor expansion of x in x 6.902 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.902 * [taylor]: Taking taylor expansion of 1.0 in x 6.902 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.902 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.902 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.902 * [taylor]: Taking taylor expansion of 1.0 in x 6.902 * [taylor]: Taking taylor expansion of 1.0 in x 6.902 * [taylor]: Taking taylor expansion of (* x x) in x 6.902 * [taylor]: Taking taylor expansion of x in x 6.902 * [taylor]: Taking taylor expansion of x in x 6.942 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 6.942 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.942 * [taylor]: Taking taylor expansion of 1.0 in x 6.942 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.942 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.942 * [taylor]: Taking taylor expansion of 1.0 in x 6.942 * [taylor]: Taking taylor expansion of 1.0 in x 6.942 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.942 * [taylor]: Taking taylor expansion of x in x 6.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.942 * [taylor]: Taking taylor expansion of x in x 6.946 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.946 * [taylor]: Taking taylor expansion of 1.0 in x 6.946 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.946 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.946 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.946 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.946 * [taylor]: Taking taylor expansion of 1.0 in x 6.946 * [taylor]: Taking taylor expansion of 1.0 in x 6.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.946 * [taylor]: Taking taylor expansion of x in x 6.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.946 * [taylor]: Taking taylor expansion of x in x 6.968 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 6.968 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.968 * [taylor]: Taking taylor expansion of 1.0 in x 6.968 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.968 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.968 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.968 * [taylor]: Taking taylor expansion of 1.0 in x 6.968 * [taylor]: Taking taylor expansion of 1.0 in x 6.968 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.968 * [taylor]: Taking taylor expansion of -1 in x 6.968 * [taylor]: Taking taylor expansion of x in x 6.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.969 * [taylor]: Taking taylor expansion of -1 in x 6.969 * [taylor]: Taking taylor expansion of x in x 6.972 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.972 * [taylor]: Taking taylor expansion of 1.0 in x 6.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.972 * [taylor]: Taking taylor expansion of 1.0 in x 6.972 * [taylor]: Taking taylor expansion of 1.0 in x 6.972 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.972 * [taylor]: Taking taylor expansion of -1 in x 6.972 * [taylor]: Taking taylor expansion of x in x 6.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.972 * [taylor]: Taking taylor expansion of -1 in x 6.972 * [taylor]: Taking taylor expansion of x in x 7.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 7.003 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 7.003 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.003 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.004 * [taylor]: Taking taylor expansion of 0.5 in x 7.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.004 * [taylor]: Taking taylor expansion of 1.0 in x 7.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.004 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.005 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.005 * [taylor]: Taking taylor expansion of 1.0 in x 7.005 * [taylor]: Taking taylor expansion of 1.0 in x 7.005 * [taylor]: Taking taylor expansion of (* x x) in x 7.005 * [taylor]: Taking taylor expansion of x in x 7.005 * [taylor]: Taking taylor expansion of x in x 7.008 * [taylor]: Taking taylor expansion of 1.0 in x 7.014 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.014 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.014 * [taylor]: Taking taylor expansion of 0.5 in x 7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.015 * [taylor]: Taking taylor expansion of 1.0 in x 7.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.015 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.015 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.015 * [taylor]: Taking taylor expansion of 1.0 in x 7.015 * [taylor]: Taking taylor expansion of 1.0 in x 7.015 * [taylor]: Taking taylor expansion of (* x x) in x 7.015 * [taylor]: Taking taylor expansion of x in x 7.015 * [taylor]: Taking taylor expansion of x in x 7.018 * [taylor]: Taking taylor expansion of 1.0 in x 7.202 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 7.203 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.203 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.203 * [taylor]: Taking taylor expansion of 1.0 in x 7.203 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.203 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.203 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.203 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.203 * [taylor]: Taking taylor expansion of 1.0 in x 7.203 * [taylor]: Taking taylor expansion of 1.0 in x 7.203 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.203 * [taylor]: Taking taylor expansion of x in x 7.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.203 * [taylor]: Taking taylor expansion of x in x 7.207 * [taylor]: Taking taylor expansion of 1.0 in x 7.209 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.209 * [taylor]: Taking taylor expansion of 0.5 in x 7.210 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.210 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.210 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.210 * [taylor]: Taking taylor expansion of 1.0 in x 7.210 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.210 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.210 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.210 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.210 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.210 * [taylor]: Taking taylor expansion of 1.0 in x 7.210 * [taylor]: Taking taylor expansion of 1.0 in x 7.210 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.210 * [taylor]: Taking taylor expansion of x in x 7.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.210 * [taylor]: Taking taylor expansion of x in x 7.213 * [taylor]: Taking taylor expansion of 1.0 in x 7.215 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.215 * [taylor]: Taking taylor expansion of 0.5 in x 7.247 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 7.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.247 * [taylor]: Taking taylor expansion of 1.0 in x 7.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.247 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.247 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.247 * [taylor]: Taking taylor expansion of 1.0 in x 7.247 * [taylor]: Taking taylor expansion of 1.0 in x 7.247 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.247 * [taylor]: Taking taylor expansion of -1 in x 7.247 * [taylor]: Taking taylor expansion of x in x 7.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.248 * [taylor]: Taking taylor expansion of -1 in x 7.248 * [taylor]: Taking taylor expansion of x in x 7.251 * [taylor]: Taking taylor expansion of 1.0 in x 7.253 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.253 * [taylor]: Taking taylor expansion of 0.5 in x 7.253 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.253 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.253 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.254 * [taylor]: Taking taylor expansion of 1.0 in x 7.254 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.254 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.254 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.254 * [taylor]: Taking taylor expansion of 1.0 in x 7.254 * [taylor]: Taking taylor expansion of 1.0 in x 7.254 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.254 * [taylor]: Taking taylor expansion of -1 in x 7.254 * [taylor]: Taking taylor expansion of x in x 7.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.254 * [taylor]: Taking taylor expansion of -1 in x 7.254 * [taylor]: Taking taylor expansion of x in x 7.257 * [taylor]: Taking taylor expansion of 1.0 in x 7.259 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.259 * [taylor]: Taking taylor expansion of 0.5 in x 7.281 * * * [progress]: simplifying candidates 7.284 * [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 (log (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (log (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (exp (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)))))))))))) (log (exp (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))))))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))))) (log (exp (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))))) (log (exp (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))))))))))) (log (exp (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)))))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))))) (log (exp (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)))) (log (exp (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)))))))))))) (log (exp (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))))))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))))) (log (exp (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))))) (log (exp (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))))))))))) (log (exp (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)))))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))))) (log (exp (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)))) (log 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x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 0) 1.0 (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) 1.0 (- (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* 2 (log (cbrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (cbrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 0 (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) 1 (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (pow (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) 3) (sqrt (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (sqrt (- 1.0 (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5)) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0)))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (- (fma 0.03125 (* (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) 1.0) (* (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (sqrt 0.5))) (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5)))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (- (fma 0.03125 (* (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) 1.0) (* (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (sqrt 0.5))) (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5)))) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (fma (/ (pow x 4) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (/ 0.375 (pow x 5)) (- (/ 1.0 x) (/ 0.5 (pow x 3)))) (- (- (/ 0.5 (pow x 3)) (/ 1.0 x)) (/ 0.375 (pow x 5))) (fma (sqrt (+ (/ 1.0 (sqrt 1.0)) 1.0)) (sqrt 0.5) (- (* (sqrt (/ 1 (+ (/ 1.0 (sqrt 1.0)) 1.0))) (- (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) (* (* 0.03125 (/ (* (pow x 4) (sqrt 0.5)) (pow 1.0 3))) (sqrt (/ 1 (pow (+ (/ 1.0 (sqrt 1.0)) 1.0) 3)))))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 8.011 * * * [progress]: adding candidates to table 8.353 * [progress]: [Phase 3 of 3] Extracting. 8.353 * * [regime]: Finding splitpoints for: (# # # #) 8.354 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 8.354 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 8.380 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 8.402 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 8.429 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 8.448 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 8.471 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 8.489 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 8.514 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 8.544 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 8.571 * * * * [regimes]: Trying to branch on x from (# # # #) 8.605 * * * [regime]: Found split indices: #