19.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.046 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.048 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.049 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.051 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.052 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.054 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.054 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.077 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.087 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.087 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.087 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.088 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.088 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.097 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.097 * [taylor]: Taking taylor expansion of 0.5 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.357 * [taylor]: Taking taylor expansion of 0.5 in x 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.358 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.407 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.412 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.413 * [taylor]: Taking taylor expansion of -1 in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.413 * [taylor]: Taking taylor expansion of -1 in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.418 * [taylor]: Taking taylor expansion of 0.5 in x 0.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.455 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.455 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.455 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (* x x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.504 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [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 -1 in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.535 * [taylor]: Taking taylor expansion of -1 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.535 * [taylor]: Taking taylor expansion of -1 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.558 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.558 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.558 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.558 * [taylor]: Taking taylor expansion of 0.5 in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.559 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.573 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.573 * [taylor]: Taking taylor expansion of 0.5 in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.574 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.574 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.574 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (* x x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.759 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.766 * [taylor]: Taking taylor expansion of 0.5 in x 0.766 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.766 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.772 * [taylor]: Taking taylor expansion of 0.5 in x 0.795 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.796 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.801 * [taylor]: Taking taylor expansion of 0.5 in x 0.802 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.802 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.803 * [taylor]: Taking taylor expansion of -1 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.808 * [taylor]: Taking taylor expansion of 0.5 in x 0.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.837 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.837 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.837 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (* x x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.840 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.840 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (* x x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.857 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.858 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.858 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.858 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.858 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.861 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.861 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.875 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.875 * [taylor]: Taking taylor expansion of -1 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.876 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.879 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.894 * * * [progress]: simplifying candidates 0.895 * [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 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 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)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.911 * * [simplify]: iteration 0 : 533 enodes (cost 1074 ) 0.920 * * [simplify]: iteration 1 : 2023 enodes (cost 830 ) 0.954 * * [simplify]: iteration 2 : 5002 enodes (cost 827 ) 0.958 * [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 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 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 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 0.959 * * * [progress]: adding candidates to table 1.181 * * [progress]: iteration 2 / 4 1.181 * * * [progress]: picking best candidate 1.194 * * * * [pick]: Picked # 1.194 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.219 * * * [progress]: generating series expansions 1.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.220 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.220 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.221 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.221 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.221 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.221 * [taylor]: Taking taylor expansion of 0.5 in x 1.221 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.221 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.221 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.221 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (* x x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.224 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.224 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.224 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.224 * [taylor]: Taking taylor expansion of 0.5 in x 1.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.224 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (* x x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.326 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.326 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.326 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.326 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.326 * [taylor]: Taking taylor expansion of 0.5 in x 1.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.330 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.330 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.330 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.330 * [taylor]: Taking taylor expansion of 0.5 in x 1.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.352 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.352 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.352 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.352 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.352 * [taylor]: Taking taylor expansion of 0.5 in x 1.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.352 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.352 * [taylor]: Taking taylor expansion of -1 in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.356 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.356 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.356 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.356 * [taylor]: Taking taylor expansion of 0.5 in x 1.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.356 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.379 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.379 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (* x x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.382 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of (* x x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.428 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.428 * [taylor]: Taking taylor expansion of 1.0 in x 1.428 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.428 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.428 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.428 * [taylor]: Taking taylor expansion of 1.0 in x 1.428 * [taylor]: Taking taylor expansion of 1.0 in x 1.428 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.432 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.432 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.432 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.454 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.454 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.458 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.482 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (* x x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (* x x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.532 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 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 1.558 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.559 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 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 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.563 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.563 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 1.563 * [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 1.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.594 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.594 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.594 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.594 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.594 * [taylor]: Taking taylor expansion of 0.5 in x 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.595 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.595 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (* x x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.604 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.605 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.605 * [taylor]: Taking taylor expansion of 0.5 in x 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.605 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.605 * [taylor]: Taking taylor expansion of 1.0 in x 1.605 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.605 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.606 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of (* x x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.829 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.829 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.830 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.833 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.835 * [taylor]: Taking taylor expansion of 0.5 in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.836 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.836 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.836 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.836 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.836 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.842 * [taylor]: Taking taylor expansion of 0.5 in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [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 1.873 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.873 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.873 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.873 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.873 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.873 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.873 * [taylor]: Taking taylor expansion of -1 in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.879 * [taylor]: Taking taylor expansion of 0.5 in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.880 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.880 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.880 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.880 * [taylor]: Taking taylor expansion of -1 in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.880 * [taylor]: Taking taylor expansion of -1 in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.886 * [taylor]: Taking taylor expansion of 0.5 in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * * * [progress]: simplifying candidates 1.924 * [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)))))) 1.931 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.939 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.967 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.972 * [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))))))) 1.972 * * * [progress]: adding candidates to table 2.265 * * [progress]: iteration 3 / 4 2.265 * * * [progress]: picking best candidate 2.281 * * * * [pick]: Picked # 2.281 * * * [progress]: localizing error 2.297 * * * [progress]: generating rewritten candidates 2.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 2.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.313 * * * [progress]: generating series expansions 2.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.314 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.314 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.314 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.314 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.314 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.314 * [taylor]: Taking taylor expansion of 0.5 in x 2.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.315 * [taylor]: Taking taylor expansion of 1.0 in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.315 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.315 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.315 * [taylor]: Taking taylor expansion of 1.0 in x 2.315 * [taylor]: Taking taylor expansion of 1.0 in x 2.315 * [taylor]: Taking taylor expansion of (* x x) in x 2.315 * [taylor]: Taking taylor expansion of x in x 2.315 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.318 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.318 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.318 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.318 * [taylor]: Taking taylor expansion of 0.5 in x 2.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.318 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.318 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.318 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of (* x x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.420 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.420 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.420 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.420 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.420 * [taylor]: Taking taylor expansion of 0.5 in x 2.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.420 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.420 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.424 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.424 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.424 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.424 * [taylor]: Taking taylor expansion of 0.5 in x 2.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.424 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.424 * [taylor]: Taking taylor expansion of x in x 2.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.425 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of 1.0 in x 2.428 * [taylor]: Taking taylor expansion of 1.0 in x 2.446 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.446 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.446 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.446 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.446 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.446 * [taylor]: Taking taylor expansion of 0.5 in x 2.446 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.447 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.447 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.447 * [taylor]: Taking taylor expansion of -1 in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.447 * [taylor]: Taking taylor expansion of -1 in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.450 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.450 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.450 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.450 * [taylor]: Taking taylor expansion of 0.5 in x 2.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.451 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.451 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.451 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.451 * [taylor]: Taking taylor expansion of -1 in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.451 * [taylor]: Taking taylor expansion of -1 in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.473 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.473 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.473 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.473 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.473 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.473 * [taylor]: Taking taylor expansion of 0.5 in x 2.473 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.473 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.474 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (* x x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.477 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.477 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.477 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.477 * [taylor]: Taking taylor expansion of 0.5 in x 2.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.477 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.477 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of (* x x) in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.480 * [taylor]: Taking taylor expansion of 1.0 in x 2.480 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.583 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.583 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.583 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.583 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.583 * [taylor]: Taking taylor expansion of 0.5 in x 2.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.583 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.583 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.587 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.587 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.587 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.587 * [taylor]: Taking taylor expansion of 0.5 in x 2.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.587 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.609 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.609 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.609 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.609 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.609 * [taylor]: Taking taylor expansion of 0.5 in x 2.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.609 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.609 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.610 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.610 * [taylor]: Taking taylor expansion of -1 in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.610 * [taylor]: Taking taylor expansion of -1 in x 2.610 * [taylor]: Taking taylor expansion of x 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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.613 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.613 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x)))) 1.0) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x))) in x 2.613 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.635 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.635 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.635 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.635 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * [taylor]: Taking taylor expansion of (* x x) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.638 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (* x x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.685 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.685 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.686 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.686 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.712 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.712 * [taylor]: Taking taylor expansion of (/ 1.0 (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 (hypot 1.0 (/ -1 x)) in x 2.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.713 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.713 * [taylor]: Taking taylor expansion of -1 in x 2.713 * [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 -1 in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.716 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.716 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.716 * [taylor]: Taking taylor expansion of -1 in x 2.716 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.717 * [taylor]: Taking taylor expansion of -1 in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.746 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.746 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.746 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of (* x x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.750 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.750 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.750 * [taylor]: Taking taylor expansion of 1.0 in x 2.750 * [taylor]: Taking taylor expansion of 1.0 in x 2.750 * [taylor]: Taking taylor expansion of (* x x) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.790 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.790 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.791 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.794 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.794 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.794 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.794 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.817 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.817 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.817 * [taylor]: Taking taylor expansion of -1 in x 2.817 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.818 * [taylor]: Taking taylor expansion of -1 in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.821 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.821 * [taylor]: Taking taylor expansion of -1 in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.822 * [taylor]: Taking taylor expansion of -1 in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.852 * * * [progress]: simplifying candidates 2.854 * [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 (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (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 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log 1)) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (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))))) 2.860 * * [simplify]: iteration 0 : 273 enodes (cost 648 ) 2.865 * * [simplify]: iteration 1 : 913 enodes (cost 592 ) 2.882 * * [simplify]: iteration 2 : 4559 enodes (cost 571 ) 3.009 * * [simplify]: iteration 3 : 5001 enodes (cost 565 ) 3.014 * [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 (exp 2) (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))) (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))) E (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow (exp 2) (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))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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 (exp 2) (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))) (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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) (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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) 3.014 * * * [progress]: adding candidates to table 3.334 * * [progress]: iteration 4 / 4 3.334 * * * [progress]: picking best candidate 3.355 * * * * [pick]: Picked # 3.356 * * * [progress]: localizing error 3.374 * * * [progress]: generating rewritten candidates 3.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 3.381 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2) 3.386 * * * [progress]: generating series expansions 3.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.387 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.387 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.387 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.387 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.387 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.387 * [taylor]: Taking taylor expansion of 0.5 in x 3.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.387 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of (* x x) in x 3.387 * [taylor]: Taking taylor expansion of x in x 3.387 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of 1.0 in x 3.390 * [taylor]: Taking taylor expansion of 1.0 in x 3.390 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.390 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.390 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.390 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.391 * [taylor]: Taking taylor expansion of 0.5 in x 3.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.391 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.391 * [taylor]: Taking taylor expansion of (* x x) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.485 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.485 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.485 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.485 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.485 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.485 * [taylor]: Taking taylor expansion of 0.5 in x 3.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.485 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.485 * [taylor]: Taking taylor expansion of 1.0 in x 3.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.485 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.485 * [taylor]: Taking taylor expansion of 1.0 in x 3.485 * [taylor]: Taking taylor expansion of 1.0 in x 3.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.485 * [taylor]: Taking taylor expansion of x in x 3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.489 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.489 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.489 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.489 * [taylor]: Taking taylor expansion of 0.5 in x 3.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.489 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.489 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.490 * [taylor]: Taking taylor expansion of x in x 3.493 * [taylor]: Taking taylor expansion of 1.0 in x 3.493 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.518 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.518 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.518 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.518 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.518 * [taylor]: Taking taylor expansion of 0.5 in x 3.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.518 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.518 * [taylor]: Taking taylor expansion of -1 in x 3.518 * [taylor]: Taking taylor expansion of x in x 3.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.519 * [taylor]: Taking taylor expansion of -1 in x 3.519 * [taylor]: Taking taylor expansion of x in x 3.522 * [taylor]: Taking taylor expansion of 1.0 in x 3.522 * [taylor]: Taking taylor expansion of 1.0 in x 3.522 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.522 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.522 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.522 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.522 * [taylor]: Taking taylor expansion of 0.5 in x 3.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.522 * [taylor]: Taking taylor expansion of 1.0 in x 3.522 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.523 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.523 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.523 * [taylor]: Taking taylor expansion of 1.0 in x 3.523 * [taylor]: Taking taylor expansion of 1.0 in x 3.523 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.523 * [taylor]: Taking taylor expansion of -1 in x 3.523 * [taylor]: Taking taylor expansion of x in x 3.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.523 * [taylor]: Taking taylor expansion of -1 in x 3.523 * [taylor]: Taking taylor expansion of x in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.545 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in (x) around 0 3.545 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.545 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.545 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.545 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.545 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.545 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.545 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.545 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.545 * [taylor]: Taking taylor expansion of 0.5 in x 3.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.545 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.545 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.545 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.545 * [taylor]: Taking taylor expansion of 1.0 in x 3.545 * [taylor]: Taking taylor expansion of (* x x) in x 3.545 * [taylor]: Taking taylor expansion of x in x 3.545 * [taylor]: Taking taylor expansion of x in x 3.548 * [taylor]: Taking taylor expansion of 1.0 in x 3.548 * [taylor]: Taking taylor expansion of 1.0 in x 3.557 * [taylor]: Taking taylor expansion of (log E) in x 3.557 * [taylor]: Taking taylor expansion of E in x 3.562 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.562 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.562 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.562 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.562 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.562 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.563 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.563 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.563 * [taylor]: Taking taylor expansion of 0.5 in x 3.563 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.563 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.563 * [taylor]: Taking taylor expansion of 1.0 in x 3.563 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.563 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.563 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.563 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.563 * [taylor]: Taking taylor expansion of 1.0 in x 3.563 * [taylor]: Taking taylor expansion of 1.0 in x 3.563 * [taylor]: Taking taylor expansion of (* x x) in x 3.563 * [taylor]: Taking taylor expansion of x in x 3.563 * [taylor]: Taking taylor expansion of x in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.575 * [taylor]: Taking taylor expansion of (log E) in x 3.575 * [taylor]: Taking taylor expansion of E in x 3.868 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in (x) around 0 3.868 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 3.868 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 3.868 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 3.868 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 3.868 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.868 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.868 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.868 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.868 * [taylor]: Taking taylor expansion of 0.5 in x 3.868 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.868 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.868 * [taylor]: Taking taylor expansion of 1.0 in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.868 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.868 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.868 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.868 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.868 * [taylor]: Taking taylor expansion of 1.0 in x 3.868 * [taylor]: Taking taylor expansion of 1.0 in x 3.868 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.869 * [taylor]: Taking taylor expansion of x in x 3.872 * [taylor]: Taking taylor expansion of 1.0 in x 3.872 * [taylor]: Taking taylor expansion of 1.0 in x 3.873 * [taylor]: Taking taylor expansion of (log E) in x 3.873 * [taylor]: Taking taylor expansion of E in x 3.875 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 3.875 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 3.875 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 3.875 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 3.875 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.875 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.875 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.875 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.875 * [taylor]: Taking taylor expansion of 0.5 in x 3.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.875 * [taylor]: Taking taylor expansion of 1.0 in x 3.875 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.875 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.875 * [taylor]: Taking taylor expansion of 1.0 in x 3.875 * [taylor]: Taking taylor expansion of 1.0 in x 3.875 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.875 * [taylor]: Taking taylor expansion of x in x 3.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.876 * [taylor]: Taking taylor expansion of x in x 3.878 * [taylor]: Taking taylor expansion of 1.0 in x 3.878 * [taylor]: Taking taylor expansion of 1.0 in x 3.880 * [taylor]: Taking taylor expansion of (log E) in x 3.880 * [taylor]: Taking taylor expansion of E in x 3.928 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in (x) around 0 3.928 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 3.928 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 3.928 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 3.928 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 3.928 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.928 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.929 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.929 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.929 * [taylor]: Taking taylor expansion of 0.5 in x 3.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.929 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.929 * [taylor]: Taking taylor expansion of 1.0 in x 3.929 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.929 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.929 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.929 * [taylor]: Taking taylor expansion of 1.0 in x 3.929 * [taylor]: Taking taylor expansion of 1.0 in x 3.929 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.929 * [taylor]: Taking taylor expansion of -1 in x 3.929 * [taylor]: Taking taylor expansion of x in x 3.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.929 * [taylor]: Taking taylor expansion of -1 in x 3.929 * [taylor]: Taking taylor expansion of x in x 3.932 * [taylor]: Taking taylor expansion of 1.0 in x 3.932 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [taylor]: Taking taylor expansion of (log E) in x 3.934 * [taylor]: Taking taylor expansion of E in x 3.935 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 3.935 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 3.935 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 3.935 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 3.935 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.935 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.935 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.935 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.935 * [taylor]: Taking taylor expansion of 0.5 in x 3.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.935 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.935 * [taylor]: Taking taylor expansion of 1.0 in x 3.935 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.936 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.936 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.936 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.936 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.936 * [taylor]: Taking taylor expansion of 1.0 in x 3.936 * [taylor]: Taking taylor expansion of 1.0 in x 3.936 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.936 * [taylor]: Taking taylor expansion of -1 in x 3.936 * [taylor]: Taking taylor expansion of x in x 3.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.936 * [taylor]: Taking taylor expansion of -1 in x 3.936 * [taylor]: Taking taylor expansion of x in x 3.939 * [taylor]: Taking taylor expansion of 1.0 in x 3.939 * [taylor]: Taking taylor expansion of 1.0 in x 3.941 * [taylor]: Taking taylor expansion of (log E) in x 3.941 * [taylor]: Taking taylor expansion of E in x 3.983 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 3.983 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.983 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.983 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.983 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.983 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [taylor]: Taking taylor expansion of (* x x) in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.986 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.987 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.987 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 3.987 * [taylor]: Taking taylor expansion of 1.0 in x 3.987 * [taylor]: Taking taylor expansion of (* x x) in x 3.987 * [taylor]: Taking taylor expansion of x in x 3.987 * [taylor]: Taking taylor expansion of x in x 4.033 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.033 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.033 * [taylor]: Taking taylor expansion of 1.0 in x 4.033 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.033 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.033 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.033 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.033 * [taylor]: Taking taylor expansion of 1.0 in x 4.033 * [taylor]: Taking taylor expansion of 1.0 in x 4.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.033 * [taylor]: Taking taylor expansion of x in x 4.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.037 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.037 * [taylor]: Taking taylor expansion of 1.0 in x 4.037 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.037 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.037 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.037 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.037 * [taylor]: Taking taylor expansion of 1.0 in x 4.037 * [taylor]: Taking taylor expansion of 1.0 in x 4.037 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.038 * [taylor]: Taking taylor expansion of x in x 4.060 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.060 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.060 * [taylor]: Taking taylor expansion of 1.0 in x 4.060 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.060 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.060 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.060 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.060 * [taylor]: Taking taylor expansion of 1.0 in x 4.060 * [taylor]: Taking taylor expansion of 1.0 in x 4.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.060 * [taylor]: Taking taylor expansion of -1 in x 4.060 * [taylor]: Taking taylor expansion of x in x 4.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.061 * [taylor]: Taking taylor expansion of -1 in x 4.061 * [taylor]: Taking taylor expansion of x in x 4.064 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.064 * [taylor]: Taking taylor expansion of 1.0 in x 4.064 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.064 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.064 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.064 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.064 * [taylor]: Taking taylor expansion of 1.0 in x 4.064 * [taylor]: Taking taylor expansion of 1.0 in x 4.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.064 * [taylor]: Taking taylor expansion of -1 in x 4.064 * [taylor]: Taking taylor expansion of x in x 4.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.064 * [taylor]: Taking taylor expansion of -1 in x 4.064 * [taylor]: Taking taylor expansion of x in x 4.089 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2) 4.089 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.089 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [taylor]: Taking taylor expansion of (* x x) in x 4.089 * [taylor]: Taking taylor expansion of x in x 4.089 * [taylor]: Taking taylor expansion of x in x 4.092 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.092 * [taylor]: Taking taylor expansion of 1.0 in x 4.092 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.092 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.092 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.092 * [taylor]: Taking taylor expansion of 1.0 in x 4.092 * [taylor]: Taking taylor expansion of 1.0 in x 4.092 * [taylor]: Taking taylor expansion of (* x x) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.140 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.140 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.140 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.140 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.140 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.140 * [taylor]: Taking taylor expansion of x in x 4.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.141 * [taylor]: Taking taylor expansion of x in x 4.144 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.144 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.144 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.144 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.167 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.167 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.167 * [taylor]: Taking taylor expansion of -1 in x 4.167 * [taylor]: Taking taylor expansion of x in x 4.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.168 * [taylor]: Taking taylor expansion of -1 in x 4.168 * [taylor]: Taking taylor expansion of x in x 4.171 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.172 * [taylor]: Taking taylor expansion of -1 in x 4.172 * [taylor]: Taking taylor expansion of x in x 4.390 * * * [progress]: simplifying candidates 4.392 * [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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (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)))) (* (log E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (log E) (log (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)))) (pow E 1) (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E 1) (pow E (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)))))) (pow E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log 1)) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (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 2)))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2)))))) (- (+ 0.5 (+ (* 0.25 (/ 1 (pow x 2))) (* 0.5 (/ 1 x)))) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 4.399 * * [simplify]: iteration 0 : 359 enodes (cost 776 ) 4.406 * * [simplify]: iteration 1 : 1368 enodes (cost 725 ) 4.429 * * [simplify]: iteration 2 : 5002 enodes (cost 716 ) 4.433 * [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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) E (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow E (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)))))) (pow E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (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 (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (/ 0.5 x)) (+ (+ 0.5 (/ 0.5 x)) (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (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)))))) 4.434 * * * [progress]: adding candidates to table 4.777 * [progress]: [Phase 3 of 3] Extracting. 4.777 * * [regime]: Finding splitpoints for: (# # # # #) 4.778 * * * [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) 4.778 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 4.808 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 4.830 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 4.861 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 4.883 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 4.912 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 4.932 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # #) 4.961 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # #) 4.997 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # #) 5.030 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.069 * * * [regime]: Found split indices: #