24.123 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.045 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.045 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.073 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.081 * [taylor]: Taking taylor expansion of 0.5 in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.082 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* x x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.091 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.091 * [taylor]: Taking taylor expansion of 0.5 in x 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.092 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.092 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.092 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.338 * [taylor]: Taking taylor expansion of 0.5 in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.393 * [taylor]: Taking taylor expansion of 0.5 in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.399 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.436 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (* x x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.481 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.481 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (* x x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.555 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.555 * [taylor]: Taking taylor expansion of -1 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.559 * [taylor]: Taking taylor expansion of -1 in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.582 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.582 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.583 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.583 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (* x x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.598 * [taylor]: Taking taylor expansion of 0.5 in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.599 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (* x x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.785 * [taylor]: Taking taylor expansion of 0.5 in x 0.786 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.786 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.791 * [taylor]: Taking taylor expansion of 0.5 in x 0.814 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.814 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.814 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.814 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.814 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.815 * [taylor]: Taking taylor expansion of -1 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.815 * [taylor]: Taking taylor expansion of -1 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.820 * [taylor]: Taking taylor expansion of 0.5 in x 0.821 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.821 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.821 * [taylor]: Taking taylor expansion of -1 in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.821 * [taylor]: Taking taylor expansion of -1 in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.826 * [taylor]: Taking taylor expansion of 0.5 in x 0.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.856 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.856 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.856 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.856 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.856 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.856 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (* x x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.859 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.859 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.859 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (* x x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.926 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.930 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.944 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.944 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.945 * [taylor]: Taking taylor expansion of -1 in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.948 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * * * [progress]: simplifying candidates 0.964 * [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)))))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 0.972 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.982 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 1.017 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 1.022 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 1.023 * * * [progress]: adding candidates to table 1.289 * * [progress]: iteration 2 / 4 1.289 * * * [progress]: picking best candidate 1.305 * * * * [pick]: Picked # 1.305 * * * [progress]: localizing error 1.318 * * * [progress]: generating rewritten candidates 1.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.319 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.325 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.330 * * * [progress]: generating series expansions 1.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.331 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.331 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.331 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.331 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.331 * [taylor]: Taking taylor expansion of 0.5 in x 1.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.331 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.331 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.331 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (* x x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.335 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.335 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.335 * [taylor]: Taking taylor expansion of 0.5 in x 1.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.335 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.335 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (* x x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.434 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.434 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.434 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.434 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.434 * [taylor]: Taking taylor expansion of 0.5 in x 1.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.438 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.438 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.438 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.438 * [taylor]: Taking taylor expansion of 0.5 in x 1.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.438 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.438 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.438 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.459 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.459 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.459 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.459 * [taylor]: Taking taylor expansion of 0.5 in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.464 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.464 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.464 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.464 * [taylor]: Taking taylor expansion of 0.5 in x 1.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.464 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.464 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.464 * [taylor]: Taking taylor expansion of -1 in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.464 * [taylor]: Taking taylor expansion of -1 in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.485 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of (* x x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [taylor]: Taking taylor expansion of (* x x) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.536 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.536 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.536 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.536 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.536 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.536 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.539 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.539 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.562 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.562 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.562 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.562 * [taylor]: Taking taylor expansion of -1 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.563 * [taylor]: Taking taylor expansion of -1 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.566 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.566 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.567 * [taylor]: Taking taylor expansion of -1 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.597 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.597 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (* x x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.600 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.600 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of (* x x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.641 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.641 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.668 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.668 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.668 * [taylor]: Taking taylor expansion of -1 in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.702 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.702 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.702 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.702 * [taylor]: Taking taylor expansion of 0.5 in x 1.703 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.703 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.703 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.703 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.703 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (* x x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.712 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.712 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.712 * [taylor]: Taking taylor expansion of 0.5 in x 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.713 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.713 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (* x x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.939 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.939 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.939 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.945 * [taylor]: Taking taylor expansion of 0.5 in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.945 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.945 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.945 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.945 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.946 * [taylor]: Taking taylor expansion of 1.0 in x 1.946 * [taylor]: Taking taylor expansion of 1.0 in x 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.951 * [taylor]: Taking taylor expansion of 0.5 in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.981 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.981 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.981 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.981 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.981 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.981 * [taylor]: Taking taylor expansion of -1 in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.982 * [taylor]: Taking taylor expansion of -1 in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.987 * [taylor]: Taking taylor expansion of 0.5 in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.988 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.988 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.988 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.988 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.988 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.988 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.989 * [taylor]: Taking taylor expansion of -1 in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.994 * [taylor]: Taking taylor expansion of 0.5 in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * * * [progress]: simplifying candidates 2.032 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 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)))))) 2.039 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 2.048 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 2.076 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 2.080 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 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 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 2.081 * * * [progress]: adding candidates to table 2.415 * * [progress]: iteration 3 / 4 2.415 * * * [progress]: picking best candidate 2.427 * * * * [pick]: Picked # 2.427 * * * [progress]: localizing error 2.447 * * * [progress]: generating rewritten candidates 2.447 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 2.453 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.458 * * * [progress]: generating series expansions 2.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.459 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.459 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.459 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.459 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.459 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.459 * [taylor]: Taking taylor expansion of 0.5 in x 2.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.460 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (* x x) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.463 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.463 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.463 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.463 * [taylor]: Taking taylor expansion of 0.5 in x 2.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.463 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.463 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (* x x) in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.466 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.556 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.556 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.556 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.556 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.556 * [taylor]: Taking taylor expansion of 0.5 in x 2.556 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.557 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.557 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.557 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.560 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.560 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.560 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.560 * [taylor]: Taking taylor expansion of 0.5 in x 2.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.560 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.560 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.560 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.564 * [taylor]: Taking taylor expansion of 1.0 in x 2.564 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.581 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.581 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.581 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.581 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.581 * [taylor]: Taking taylor expansion of 0.5 in x 2.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.581 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.582 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.582 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.582 * [taylor]: Taking taylor expansion of 1.0 in x 2.582 * [taylor]: Taking taylor expansion of 1.0 in x 2.582 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.582 * [taylor]: Taking taylor expansion of -1 in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.582 * [taylor]: Taking taylor expansion of -1 in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.585 * [taylor]: Taking taylor expansion of 1.0 in x 2.585 * [taylor]: Taking taylor expansion of 1.0 in x 2.585 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.585 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.585 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.585 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.585 * [taylor]: Taking taylor expansion of 0.5 in x 2.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.585 * [taylor]: Taking taylor expansion of 1.0 in x 2.585 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.585 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.585 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.585 * [taylor]: Taking taylor expansion of 1.0 in x 2.585 * [taylor]: Taking taylor expansion of 1.0 in x 2.585 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.586 * [taylor]: Taking taylor expansion of -1 in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.586 * [taylor]: Taking taylor expansion of -1 in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.613 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.613 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.613 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.613 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.613 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.613 * [taylor]: Taking taylor expansion of 0.5 in x 2.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.613 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.613 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (* x x) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.616 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.616 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.616 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.616 * [taylor]: Taking taylor expansion of 0.5 in x 2.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.616 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.616 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.616 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (* x x) in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.619 * [taylor]: Taking taylor expansion of 1.0 in x 2.619 * [taylor]: Taking taylor expansion of 1.0 in x 2.708 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.708 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.708 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.708 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.708 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.708 * [taylor]: Taking taylor expansion of 0.5 in x 2.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.708 * [taylor]: Taking taylor expansion of 1.0 in x 2.708 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.708 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.708 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.709 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.709 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.712 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.712 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.712 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.712 * [taylor]: Taking taylor expansion of 0.5 in x 2.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.712 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.712 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.712 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.712 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.733 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.734 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.734 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.734 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.734 * [taylor]: Taking taylor expansion of 0.5 in x 2.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.734 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.734 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.734 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.738 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.738 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.738 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.738 * [taylor]: Taking taylor expansion of 0.5 in x 2.738 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.738 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.738 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.738 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.738 * [taylor]: Taking taylor expansion of -1 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.738 * [taylor]: Taking taylor expansion of -1 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.759 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.759 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.759 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (* x x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.768 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.768 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.768 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of (* x x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.807 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.808 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.808 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.808 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.811 * [taylor]: Taking taylor expansion of 1.0 in x 2.811 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.811 * [taylor]: Taking taylor expansion of 1.0 in x 2.811 * [taylor]: Taking taylor expansion of 1.0 in x 2.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.835 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.835 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.835 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.835 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.835 * [taylor]: Taking taylor expansion of -1 in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.835 * [taylor]: Taking taylor expansion of -1 in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.838 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.838 * [taylor]: Taking taylor expansion of 1.0 in x 2.838 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.839 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.839 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.839 * [taylor]: Taking taylor expansion of -1 in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.839 * [taylor]: Taking taylor expansion of -1 in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.868 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.868 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.868 * [taylor]: Taking taylor expansion of 1.0 in x 2.868 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.868 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.868 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.868 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.868 * [taylor]: Taking taylor expansion of 1.0 in x 2.868 * [taylor]: Taking taylor expansion of 1.0 in x 2.868 * [taylor]: Taking taylor expansion of (* x x) in x 2.868 * [taylor]: Taking taylor expansion of x in x 2.868 * [taylor]: Taking taylor expansion of x in x 2.871 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.871 * [taylor]: Taking taylor expansion of 1.0 in x 2.871 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.871 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.871 * [taylor]: Taking taylor expansion of 1.0 in x 2.871 * [taylor]: Taking taylor expansion of 1.0 in x 2.871 * [taylor]: Taking taylor expansion of (* x x) in x 2.872 * [taylor]: Taking taylor expansion of x in x 2.872 * [taylor]: Taking taylor expansion of x in x 2.911 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.911 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.911 * [taylor]: Taking taylor expansion of 1.0 in x 2.911 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.911 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.911 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.911 * [taylor]: Taking taylor expansion of 1.0 in x 2.911 * [taylor]: Taking taylor expansion of 1.0 in x 2.911 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.911 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.914 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.914 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.914 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.915 * [taylor]: Taking taylor expansion of x in x 2.947 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.947 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.947 * [taylor]: Taking taylor expansion of 1.0 in x 2.947 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.947 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.947 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.947 * [taylor]: Taking taylor expansion of 1.0 in x 2.947 * [taylor]: Taking taylor expansion of 1.0 in x 2.947 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.947 * [taylor]: Taking taylor expansion of -1 in x 2.947 * [taylor]: Taking taylor expansion of x in x 2.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.948 * [taylor]: Taking taylor expansion of -1 in x 2.948 * [taylor]: Taking taylor expansion of x in x 2.951 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.951 * [taylor]: Taking taylor expansion of 1.0 in x 2.951 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.951 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.951 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.951 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.951 * [taylor]: Taking taylor expansion of 1.0 in x 2.951 * [taylor]: Taking taylor expansion of 1.0 in x 2.951 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.951 * [taylor]: Taking taylor expansion of -1 in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.951 * [taylor]: Taking taylor expansion of -1 in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.974 * * * [progress]: simplifying candidates 2.976 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 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))))) 2.982 * * [simplify]: iteration 0 : 279 enodes (cost 665 ) 2.987 * * [simplify]: iteration 1 : 933 enodes (cost 600 ) 3.007 * * [simplify]: iteration 2 : 4765 enodes (cost 594 ) 3.138 * * [simplify]: iteration 3 : 5001 enodes (cost 592 ) 3.142 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 3.143 * * * [progress]: adding candidates to table 3.501 * * [progress]: iteration 4 / 4 3.501 * * * [progress]: picking best candidate 3.511 * * * * [pick]: Picked # 3.511 * * * [progress]: localizing error 3.528 * * * [progress]: generating rewritten candidates 3.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.529 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.537 * * * [progress]: generating series expansions 3.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.538 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.538 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.538 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.538 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.538 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.538 * [taylor]: Taking taylor expansion of 0.5 in x 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.538 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.539 * [taylor]: Taking taylor expansion of 1.0 in x 3.539 * [taylor]: Taking taylor expansion of (* x x) in x 3.539 * [taylor]: Taking taylor expansion of x in x 3.539 * [taylor]: Taking taylor expansion of x in x 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.542 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.542 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.542 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.542 * [taylor]: Taking taylor expansion of 0.5 in x 3.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.542 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.542 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.542 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (* x x) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.634 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.634 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.634 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.634 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.634 * [taylor]: Taking taylor expansion of 0.5 in x 3.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.634 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.634 * [taylor]: Taking taylor expansion of 1.0 in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.634 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.634 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.634 * [taylor]: Taking taylor expansion of 1.0 in x 3.634 * [taylor]: Taking taylor expansion of 1.0 in x 3.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.637 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.637 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.637 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.637 * [taylor]: Taking taylor expansion of 0.5 in x 3.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.638 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.638 * [taylor]: Taking taylor expansion of 1.0 in x 3.638 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.638 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.638 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.638 * [taylor]: Taking taylor expansion of 1.0 in x 3.638 * [taylor]: Taking taylor expansion of 1.0 in x 3.638 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.638 * [taylor]: Taking taylor expansion of x in x 3.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.638 * [taylor]: Taking taylor expansion of x in x 3.641 * [taylor]: Taking taylor expansion of 1.0 in x 3.641 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.665 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.665 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.665 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.665 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.665 * [taylor]: Taking taylor expansion of 0.5 in x 3.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.665 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.665 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.665 * [taylor]: Taking taylor expansion of -1 in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.666 * [taylor]: Taking taylor expansion of -1 in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.669 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.669 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.669 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.669 * [taylor]: Taking taylor expansion of 0.5 in x 3.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.669 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [taylor]: Taking taylor expansion of 1.0 in x 3.669 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.669 * [taylor]: Taking taylor expansion of -1 in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.670 * [taylor]: Taking taylor expansion of -1 in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.673 * [taylor]: Taking taylor expansion of 1.0 in x 3.673 * [taylor]: Taking taylor expansion of 1.0 in x 3.690 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.690 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.690 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.691 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.691 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.691 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.691 * [taylor]: Taking taylor expansion of 0.5 in x 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.691 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (* x x) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.694 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.694 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.694 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.694 * [taylor]: Taking taylor expansion of 0.5 in x 3.694 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.694 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.694 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.694 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.694 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of (* x x) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.697 * [taylor]: Taking taylor expansion of 1.0 in x 3.697 * [taylor]: Taking taylor expansion of 1.0 in x 3.786 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.786 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.786 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.786 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.786 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.786 * [taylor]: Taking taylor expansion of 0.5 in x 3.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.787 * [taylor]: Taking taylor expansion of 1.0 in x 3.787 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.787 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.787 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.787 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.787 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.787 * [taylor]: Taking taylor expansion of 1.0 in x 3.787 * [taylor]: Taking taylor expansion of 1.0 in x 3.787 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.787 * [taylor]: Taking taylor expansion of x in x 3.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.787 * [taylor]: Taking taylor expansion of x in x 3.790 * [taylor]: Taking taylor expansion of 1.0 in x 3.790 * [taylor]: Taking taylor expansion of 1.0 in x 3.790 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.790 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.790 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.790 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.791 * [taylor]: Taking taylor expansion of 0.5 in x 3.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.791 * [taylor]: Taking taylor expansion of 1.0 in x 3.791 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.791 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.791 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.791 * [taylor]: Taking taylor expansion of 1.0 in x 3.791 * [taylor]: Taking taylor expansion of 1.0 in x 3.791 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.794 * [taylor]: Taking taylor expansion of 1.0 in x 3.794 * [taylor]: Taking taylor expansion of 1.0 in x 3.818 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.818 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.818 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.818 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.818 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.818 * [taylor]: Taking taylor expansion of 0.5 in x 3.818 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.818 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.818 * [taylor]: Taking taylor expansion of 1.0 in x 3.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.818 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.819 * [taylor]: Taking taylor expansion of 1.0 in x 3.819 * [taylor]: Taking taylor expansion of 1.0 in x 3.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.819 * [taylor]: Taking taylor expansion of -1 in x 3.819 * [taylor]: Taking taylor expansion of x in x 3.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.819 * [taylor]: Taking taylor expansion of -1 in x 3.819 * [taylor]: Taking taylor expansion of x in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.822 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.822 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.822 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.822 * [taylor]: Taking taylor expansion of 0.5 in x 3.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.822 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.823 * [taylor]: Taking taylor expansion of -1 in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.823 * [taylor]: Taking taylor expansion of -1 in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.826 * [taylor]: Taking taylor expansion of 1.0 in x 3.826 * [taylor]: Taking taylor expansion of 1.0 in x 3.843 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.844 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.844 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.844 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.844 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.844 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.844 * [taylor]: Taking taylor expansion of 0.5 in x 3.844 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.844 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.844 * [taylor]: Taking taylor expansion of 1.0 in x 3.844 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.844 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.844 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.844 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.844 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.844 * [taylor]: Taking taylor expansion of 1.0 in x 3.844 * [taylor]: Taking taylor expansion of 1.0 in x 3.844 * [taylor]: Taking taylor expansion of (* x x) in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.847 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.847 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.847 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.847 * [taylor]: Taking taylor expansion of 0.5 in x 3.847 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.847 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.847 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.847 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.847 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.847 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [taylor]: Taking taylor expansion of (* x x) in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.958 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.958 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.958 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.958 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.958 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.958 * [taylor]: Taking taylor expansion of 0.5 in x 3.958 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.958 * [taylor]: Taking taylor expansion of 1.0 in x 3.958 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.958 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.958 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.958 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.958 * [taylor]: Taking taylor expansion of 1.0 in x 3.958 * [taylor]: Taking taylor expansion of 1.0 in x 3.958 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.958 * [taylor]: Taking taylor expansion of x in x 3.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.959 * [taylor]: Taking taylor expansion of x in x 3.961 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.962 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.962 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.962 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.962 * [taylor]: Taking taylor expansion of 0.5 in x 3.962 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.962 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.962 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.962 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.962 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.962 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.962 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.965 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.983 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.983 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.983 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.983 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.983 * [taylor]: Taking taylor expansion of 0.5 in x 3.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.983 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.983 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.983 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.984 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.984 * [taylor]: Taking taylor expansion of -1 in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.984 * [taylor]: Taking taylor expansion of -1 in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.987 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.987 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.987 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.987 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.987 * [taylor]: Taking taylor expansion of 0.5 in x 3.987 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.987 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.987 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.987 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.987 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.987 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.988 * [taylor]: Taking taylor expansion of 1.0 in x 3.988 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.988 * [taylor]: Taking taylor expansion of -1 in x 3.988 * [taylor]: Taking taylor expansion of x in x 3.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.988 * [taylor]: Taking taylor expansion of -1 in x 3.988 * [taylor]: Taking taylor expansion of x in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 4.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.016 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in (x) around 0 4.016 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 4.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 4.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 4.016 * [taylor]: Taking taylor expansion of 1/3 in x 4.016 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 4.016 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 4.016 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.017 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.017 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.017 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.017 * [taylor]: Taking taylor expansion of 0.5 in x 4.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.017 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.017 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of (* x x) in x 4.017 * [taylor]: Taking taylor expansion of x in x 4.017 * [taylor]: Taking taylor expansion of x in x 4.020 * [taylor]: Taking taylor expansion of 1.0 in x 4.020 * [taylor]: Taking taylor expansion of 1.0 in x 4.040 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 4.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 4.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 4.041 * [taylor]: Taking taylor expansion of 1/3 in x 4.041 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 4.041 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 4.041 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.041 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.041 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.041 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.041 * [taylor]: Taking taylor expansion of 0.5 in x 4.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.041 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.041 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.041 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.041 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of (* x x) in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 4.674 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 4.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 4.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 4.674 * [taylor]: Taking taylor expansion of 1/3 in x 4.674 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 4.674 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 4.674 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.674 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.674 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.674 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.674 * [taylor]: Taking taylor expansion of 0.5 in x 4.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.675 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.675 * [taylor]: Taking taylor expansion of 1.0 in x 4.675 * [taylor]: Taking taylor expansion of 1.0 in x 4.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.681 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 4.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 4.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 4.682 * [taylor]: Taking taylor expansion of 1/3 in x 4.682 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 4.682 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 4.682 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.682 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.682 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.682 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.682 * [taylor]: Taking taylor expansion of 0.5 in x 4.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.682 * [taylor]: Taking taylor expansion of 1.0 in x 4.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.682 * [taylor]: Taking taylor expansion of 1.0 in x 4.682 * [taylor]: Taking taylor expansion of 1.0 in x 4.682 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.682 * [taylor]: Taking taylor expansion of x in x 4.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.682 * [taylor]: Taking taylor expansion of x in x 4.685 * [taylor]: Taking taylor expansion of 1.0 in x 4.685 * [taylor]: Taking taylor expansion of 1.0 in x 4.749 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 4.749 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 4.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 4.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 4.749 * [taylor]: Taking taylor expansion of 1/3 in x 4.749 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 4.749 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 4.749 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.749 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.749 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.749 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.749 * [taylor]: Taking taylor expansion of 0.5 in x 4.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.749 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.749 * [taylor]: Taking taylor expansion of 1.0 in x 4.749 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.749 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.749 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.749 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.750 * [taylor]: Taking taylor expansion of 1.0 in x 4.750 * [taylor]: Taking taylor expansion of 1.0 in x 4.750 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.750 * [taylor]: Taking taylor expansion of -1 in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.750 * [taylor]: Taking taylor expansion of -1 in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.753 * [taylor]: Taking taylor expansion of 1.0 in x 4.753 * [taylor]: Taking taylor expansion of 1.0 in x 4.756 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 4.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 4.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 4.756 * [taylor]: Taking taylor expansion of 1/3 in x 4.756 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 4.756 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 4.756 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.757 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.757 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.757 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.757 * [taylor]: Taking taylor expansion of 0.5 in x 4.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.757 * [taylor]: Taking taylor expansion of 1.0 in x 4.757 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.757 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.757 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.757 * [taylor]: Taking taylor expansion of 1.0 in x 4.757 * [taylor]: Taking taylor expansion of 1.0 in x 4.757 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.757 * [taylor]: Taking taylor expansion of -1 in x 4.757 * [taylor]: Taking taylor expansion of x in x 4.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.757 * [taylor]: Taking taylor expansion of -1 in x 4.757 * [taylor]: Taking taylor expansion of x in x 4.760 * [taylor]: Taking taylor expansion of 1.0 in x 4.760 * [taylor]: Taking taylor expansion of 1.0 in x 4.819 * * * [progress]: simplifying candidates 4.821 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1/3 1/3) (+ 1 1) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1 1) (+ (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 1 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 1/3) (* 2 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 0.08333333333333333 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (+ (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3) (+ (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 8)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.0625 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 4)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))))))) (- (+ (pow 0.25 1/3) (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3)))) (+ (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2)))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (- (+ (pow 0.25 1/3) (+ (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2))))) 4.829 * * [simplify]: iteration 0 : 383 enodes (cost 1202 ) 4.837 * * [simplify]: iteration 1 : 1549 enodes (cost 1077 ) 4.872 * * [simplify]: iteration 2 : 5002 enodes (cost 970 ) 4.877 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 2/3 2 (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) 2 (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (exp 1) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4)) (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2/3 2 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (+ (+ (fma (* 0.08333333333333333 (/ (pow x 4) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3) (+ (fma 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))) (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)) (fma 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 6)) (* 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 8)))))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (fma 0.0625 (/ (pow x 4) (pow (sqrt 1.0) 5)) (* (* (/ x 1.0) (/ x 1.0)) 0.08333333333333333)))) (- (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3)))) (- (/ (* 0.6666666666666666 (pow 0.25 1/3)) x) (pow 0.25 1/3))) (+ (fma 0.6666666666666666 (/ (pow 0.25 1/3) x) (pow 0.25 1/3)) (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3))))) 4.878 * * * [progress]: adding candidates to table 5.211 * [progress]: [Phase 3 of 3] Extracting. 5.211 * * [regime]: Finding splitpoints for: (# # # #) 5.212 * * * [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) 5.212 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 5.242 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 5.259 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 5.290 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 5.307 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 5.335 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 5.351 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 5.375 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 5.406 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 5.434 * * * * [regimes]: Trying to branch on x from (# # # #) 5.484 * * * [regime]: Found split indices: #