13.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.039 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.042 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.069 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (* x x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.082 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (* x x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [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 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.328 * [taylor]: Taking taylor expansion of 0.5 in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.334 * [taylor]: Taking taylor expansion of 0.5 in x 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.375 * [taylor]: Taking taylor expansion of 0.5 in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.426 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.426 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.427 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (* x x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (* x x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.532 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (* x x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.581 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.585 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.607 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.608 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.634 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.634 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (* x x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.637 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (* x x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.660 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.660 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.677 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.677 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.694 * * * [progress]: simplifying candidates 0.696 * [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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (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 (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))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) (- (+ (* 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) (* 1/2 (/ (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)))) 0.704 * * [simplify]: iteration 0 : 539 enodes (cost 998 ) 0.713 * * [simplify]: iteration 1 : 2059 enodes (cost 745 ) 0.747 * * [simplify]: iteration 2 : 5001 enodes (cost 742 ) 0.751 * [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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (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 (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 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) (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 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)))) 0.752 * * * [progress]: adding candidates to table 0.961 * * [progress]: iteration 2 / 4 0.961 * * * [progress]: picking best candidate 0.970 * * * * [pick]: Picked # 0.970 * * * [progress]: localizing error 0.986 * * * [progress]: generating rewritten candidates 0.986 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.990 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.001 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.002 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.002 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.002 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.002 * [taylor]: Taking taylor expansion of 0.5 in x 1.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.002 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.002 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.002 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.002 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (* x x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.005 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.005 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.005 * [taylor]: Taking taylor expansion of 0.5 in x 1.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.005 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.005 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.005 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (* x x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.097 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.098 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.098 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.098 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.098 * [taylor]: Taking taylor expansion of 0.5 in x 1.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.098 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.101 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.101 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.101 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.101 * [taylor]: Taking taylor expansion of 0.5 in x 1.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.123 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.123 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.123 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.123 * [taylor]: Taking taylor expansion of 0.5 in x 1.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.123 * [taylor]: Taking taylor expansion of -1 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.123 * [taylor]: Taking taylor expansion of -1 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.127 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.127 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.127 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.127 * [taylor]: Taking taylor expansion of 0.5 in x 1.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.154 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.154 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (* x x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.157 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (* x x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.197 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.197 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.197 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.197 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.230 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.230 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.230 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.230 * [taylor]: Taking taylor expansion of -1 in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.230 * [taylor]: Taking taylor expansion of -1 in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.234 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.234 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.258 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.258 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.258 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.259 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (* x x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.263 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.263 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (* x x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.303 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.314 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.338 * [taylor]: Taking taylor expansion of -1 in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.365 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.365 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.365 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (* x x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.368 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (* x x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 1.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.461 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 1.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.475 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.475 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.475 * [taylor]: Taking taylor expansion of -1 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.475 * [taylor]: Taking taylor expansion of -1 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.479 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.479 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.479 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.479 * [taylor]: Taking taylor expansion of -1 in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.479 * [taylor]: Taking taylor expansion of -1 in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * * * [progress]: simplifying candidates 1.494 * [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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (/ (pow x 2) (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))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 1.506 * * [simplify]: iteration 0 : 319 enodes (cost 561 ) 1.512 * * [simplify]: iteration 1 : 1141 enodes (cost 522 ) 1.533 * * [simplify]: iteration 2 : 5001 enodes (cost 520 ) 1.536 * [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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma 0.25 (/ (pow x 2) (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 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 1.537 * * * [progress]: adding candidates to table 1.813 * * [progress]: iteration 3 / 4 1.813 * * * [progress]: picking best candidate 1.832 * * * * [pick]: Picked # 1.832 * * * [progress]: localizing error 1.849 * * * [progress]: generating rewritten candidates 1.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.852 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.855 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 1.860 * * * [progress]: generating series expansions 1.860 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.861 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.862 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.862 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.862 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.862 * [taylor]: Taking taylor expansion of 0.5 in x 1.862 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.862 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.862 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.862 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (* x x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.865 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.865 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.865 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.865 * [taylor]: Taking taylor expansion of 0.5 in x 1.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.866 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.866 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.866 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.866 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (* x x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.869 * [taylor]: Taking taylor expansion of 1.0 in x 1.869 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.961 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.961 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.961 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.961 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.961 * [taylor]: Taking taylor expansion of 0.5 in x 1.961 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.961 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.962 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.962 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.973 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.973 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.973 * [taylor]: Taking taylor expansion of 0.5 in x 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.994 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.994 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.994 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.994 * [taylor]: Taking taylor expansion of 0.5 in x 1.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.994 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.995 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.995 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.995 * [taylor]: Taking taylor expansion of -1 in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.995 * [taylor]: Taking taylor expansion of -1 in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.998 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.998 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.998 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.998 * [taylor]: Taking taylor expansion of 0.5 in x 1.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.998 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.999 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.999 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.999 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.999 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.020 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.020 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.021 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.021 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.021 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.021 * [taylor]: Taking taylor expansion of 0.5 in x 2.021 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.021 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.021 * [taylor]: Taking taylor expansion of 1.0 in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.021 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.021 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.021 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.021 * [taylor]: Taking taylor expansion of 1.0 in x 2.021 * [taylor]: Taking taylor expansion of 1.0 in x 2.021 * [taylor]: Taking taylor expansion of (* x x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.024 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.024 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.024 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.024 * [taylor]: Taking taylor expansion of 0.5 in x 2.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.024 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.024 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (* x x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.118 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.118 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.118 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.118 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.118 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.118 * [taylor]: Taking taylor expansion of 0.5 in x 2.118 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.118 * [taylor]: Taking taylor expansion of 1.0 in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.119 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.119 * [taylor]: Taking taylor expansion of 1.0 in x 2.119 * [taylor]: Taking taylor expansion of 1.0 in x 2.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.122 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.122 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.122 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.122 * [taylor]: Taking taylor expansion of 0.5 in x 2.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.122 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.122 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.151 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.151 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.151 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.151 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.151 * [taylor]: Taking taylor expansion of 0.5 in x 2.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.151 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.151 * [taylor]: Taking taylor expansion of -1 in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.152 * [taylor]: Taking taylor expansion of -1 in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.155 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.155 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.155 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.155 * [taylor]: Taking taylor expansion of 0.5 in x 2.155 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.155 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.155 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.155 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.155 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.156 * [taylor]: Taking taylor expansion of -1 in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.176 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.176 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.176 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.176 * [taylor]: Taking taylor expansion of 1.0 in x 2.176 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.176 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.176 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.176 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.176 * [taylor]: Taking taylor expansion of 1.0 in x 2.176 * [taylor]: Taking taylor expansion of 1.0 in x 2.176 * [taylor]: Taking taylor expansion of (* x x) in x 2.176 * [taylor]: Taking taylor expansion of x in x 2.176 * [taylor]: Taking taylor expansion of x in x 2.179 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.179 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [taylor]: Taking taylor expansion of (* x x) in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.357 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.357 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.361 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.383 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.383 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.383 * [taylor]: Taking taylor expansion of -1 in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.383 * [taylor]: Taking taylor expansion of -1 in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.387 * [taylor]: Taking taylor expansion of 1.0 in x 2.387 * [taylor]: Taking taylor expansion of 1.0 in x 2.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.387 * [taylor]: Taking taylor expansion of -1 in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.387 * [taylor]: Taking taylor expansion of -1 in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.409 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.409 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.409 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.409 * [taylor]: Taking taylor expansion of 1.0 in x 2.409 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.410 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (* x x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.412 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.412 * [taylor]: Taking taylor expansion of 1.0 in x 2.412 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of (* x x) in x 2.413 * [taylor]: Taking taylor expansion of x in x 2.413 * [taylor]: Taking taylor expansion of x in x 2.456 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.456 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.456 * [taylor]: Taking taylor expansion of 1.0 in x 2.456 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.457 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.460 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.483 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.483 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.483 * [taylor]: Taking taylor expansion of -1 in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.483 * [taylor]: Taking taylor expansion of -1 in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.487 * [taylor]: Taking taylor expansion of -1 in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.487 * [taylor]: Taking taylor expansion of -1 in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.516 * * * [progress]: simplifying candidates 2.518 * [simplify]: Simplifying using # : (expm1 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (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) (- (+ (* 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))))) 2.523 * * [simplify]: iteration 0 : 279 enodes (cost 665 ) 2.529 * * [simplify]: iteration 1 : 931 enodes (cost 600 ) 2.548 * * [simplify]: iteration 2 : 4763 enodes (cost 594 ) 2.674 * * [simplify]: iteration 3 : 5001 enodes (cost 592 ) 2.678 * [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)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (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) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.679 * * * [progress]: adding candidates to table 2.981 * * [progress]: iteration 4 / 4 2.981 * * * [progress]: picking best candidate 3.006 * * * * [pick]: Picked # 3.006 * * * [progress]: localizing error 3.023 * * * [progress]: generating rewritten candidates 3.023 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.039 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.048 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 3 3 2 1 2) 3.104 * * * [progress]: generating series expansions 3.105 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.107 * [approximate]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in (x) around 0 3.107 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.107 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 3.107 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.107 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.107 * [taylor]: Taking taylor expansion of 0.5 in x 3.108 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 3.108 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 3.108 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.108 * [taylor]: Taking taylor expansion of 1.0 in x 3.108 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.108 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.108 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.108 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.108 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.108 * [taylor]: Taking taylor expansion of 1.0 in x 3.108 * [taylor]: Taking taylor expansion of 1.0 in x 3.108 * [taylor]: Taking taylor expansion of (* x x) in x 3.108 * [taylor]: Taking taylor expansion of x in x 3.108 * [taylor]: Taking taylor expansion of x in x 3.111 * [taylor]: Taking taylor expansion of 1.0 in x 3.126 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 3.126 * [taylor]: Taking taylor expansion of 1.0 in x 3.126 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 3.126 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 3.126 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.126 * [taylor]: Taking taylor expansion of 0.5 in x 3.127 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 3.127 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 3.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.127 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.127 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of (* x x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 4.110 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 4.110 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 4.110 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 4.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.110 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.110 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.110 * [taylor]: Taking taylor expansion of x in x 4.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.113 * [taylor]: Taking taylor expansion of 1.0 in x 4.118 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.118 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.118 * [taylor]: Taking taylor expansion of 0.5 in x 4.118 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 4.118 * [taylor]: Taking taylor expansion of 1.0 in x 4.118 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 4.118 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 4.118 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 4.118 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.118 * [taylor]: Taking taylor expansion of 1.0 in x 4.119 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.119 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.119 * [taylor]: Taking taylor expansion of 1.0 in x 4.119 * [taylor]: Taking taylor expansion of 1.0 in x 4.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.119 * [taylor]: Taking taylor expansion of x in x 4.122 * [taylor]: Taking taylor expansion of 1.0 in x 4.126 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.126 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.126 * [taylor]: Taking taylor expansion of 0.5 in x 4.202 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in (x) around 0 4.202 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 4.203 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 4.203 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 4.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.203 * [taylor]: Taking taylor expansion of 1.0 in x 4.203 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.203 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.203 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.203 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.203 * [taylor]: Taking taylor expansion of 1.0 in x 4.203 * [taylor]: Taking taylor expansion of 1.0 in x 4.203 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.203 * [taylor]: Taking taylor expansion of -1 in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.203 * [taylor]: Taking taylor expansion of -1 in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.206 * [taylor]: Taking taylor expansion of 1.0 in x 4.210 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.210 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.210 * [taylor]: Taking taylor expansion of 0.5 in x 4.211 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 4.211 * [taylor]: Taking taylor expansion of 1.0 in x 4.211 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 4.211 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 4.211 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 4.211 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.211 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.211 * [taylor]: Taking taylor expansion of 1.0 in x 4.211 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.211 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.211 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.211 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.211 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.211 * [taylor]: Taking taylor expansion of 1.0 in x 4.211 * [taylor]: Taking taylor expansion of 1.0 in x 4.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.211 * [taylor]: Taking taylor expansion of -1 in x 4.211 * [taylor]: Taking taylor expansion of x in x 4.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.212 * [taylor]: Taking taylor expansion of -1 in x 4.212 * [taylor]: Taking taylor expansion of x in x 4.214 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.218 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.218 * [taylor]: Taking taylor expansion of 0.5 in x 4.296 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.296 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 4.296 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 4.296 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.296 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.296 * [taylor]: Taking taylor expansion of 0.5 in x 4.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.297 * [taylor]: Taking taylor expansion of 1.0 in x 4.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.297 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.297 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.297 * [taylor]: Taking taylor expansion of 1.0 in x 4.297 * [taylor]: Taking taylor expansion of 1.0 in x 4.297 * [taylor]: Taking taylor expansion of (* x x) in x 4.297 * [taylor]: Taking taylor expansion of x in x 4.297 * [taylor]: Taking taylor expansion of x in x 4.300 * [taylor]: Taking taylor expansion of 1.0 in x 4.309 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 4.309 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.309 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.309 * [taylor]: Taking taylor expansion of 0.5 in x 4.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.309 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.309 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.309 * [taylor]: Taking taylor expansion of 1.0 in x 4.309 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.310 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.310 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.310 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.310 * [taylor]: Taking taylor expansion of 1.0 in x 4.310 * [taylor]: Taking taylor expansion of 1.0 in x 4.310 * [taylor]: Taking taylor expansion of (* x x) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.313 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 4.781 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 4.781 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.782 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.782 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.782 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.782 * [taylor]: Taking taylor expansion of 1.0 in x 4.782 * [taylor]: Taking taylor expansion of 1.0 in x 4.782 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.782 * [taylor]: Taking taylor expansion of x in x 4.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.782 * [taylor]: Taking taylor expansion of x in x 4.785 * [taylor]: Taking taylor expansion of 1.0 in x 4.787 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.787 * [taylor]: Taking taylor expansion of 0.5 in x 4.788 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 4.788 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.788 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.788 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.788 * [taylor]: Taking taylor expansion of 1.0 in x 4.788 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.788 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.788 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.788 * [taylor]: Taking taylor expansion of 1.0 in x 4.788 * [taylor]: Taking taylor expansion of 1.0 in x 4.789 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.789 * [taylor]: Taking taylor expansion of x in x 4.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.789 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.800 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.800 * [taylor]: Taking taylor expansion of 0.5 in x 4.866 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 4.866 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 4.867 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.867 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.867 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.867 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.867 * [taylor]: Taking taylor expansion of 1.0 in x 4.867 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.867 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.867 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.867 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.867 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.867 * [taylor]: Taking taylor expansion of 1.0 in x 4.867 * [taylor]: Taking taylor expansion of 1.0 in x 4.867 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.867 * [taylor]: Taking taylor expansion of -1 in x 4.867 * [taylor]: Taking taylor expansion of x in x 4.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.867 * [taylor]: Taking taylor expansion of -1 in x 4.867 * [taylor]: Taking taylor expansion of x in x 4.870 * [taylor]: Taking taylor expansion of 1.0 in x 4.878 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.878 * [taylor]: Taking taylor expansion of 0.5 in x 4.880 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 4.880 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.880 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.880 * [taylor]: Taking taylor expansion of 1.0 in x 4.880 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.880 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.880 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.880 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.880 * [taylor]: Taking taylor expansion of 1.0 in x 4.880 * [taylor]: Taking taylor expansion of 1.0 in x 4.880 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.880 * [taylor]: Taking taylor expansion of -1 in x 4.880 * [taylor]: Taking taylor expansion of x in x 4.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.880 * [taylor]: Taking taylor expansion of -1 in x 4.880 * [taylor]: Taking taylor expansion of x in x 4.883 * [taylor]: Taking taylor expansion of 1.0 in x 4.885 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.885 * [taylor]: Taking taylor expansion of 0.5 in x 4.957 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.958 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in (x) around 0 4.958 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 4.958 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 4.958 * [taylor]: Taking taylor expansion of 1.0 in x 4.958 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 4.958 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 4.958 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.958 * [taylor]: Taking taylor expansion of 0.5 in x 4.959 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 4.959 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 4.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.959 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.959 * [taylor]: Taking taylor expansion of 1.0 in x 4.959 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.959 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.959 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.959 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.959 * [taylor]: Taking taylor expansion of 1.0 in x 4.959 * [taylor]: Taking taylor expansion of 1.0 in x 4.959 * [taylor]: Taking taylor expansion of (* x x) in x 4.959 * [taylor]: Taking taylor expansion of x in x 4.959 * [taylor]: Taking taylor expansion of x in x 4.962 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 4.977 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 4.977 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 4.977 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 4.977 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.977 * [taylor]: Taking taylor expansion of 0.5 in x 4.977 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.977 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.977 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.977 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.977 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.977 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (* x x) in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.980 * [taylor]: Taking taylor expansion of 1.0 in x 4.980 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 4.980 * [taylor]: Taking taylor expansion of 1.0 in x 4.980 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.980 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.980 * [taylor]: Taking taylor expansion of 0.5 in x 4.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.981 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.981 * [taylor]: Taking taylor expansion of 1.0 in x 4.981 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.981 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.981 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.981 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.981 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.981 * [taylor]: Taking taylor expansion of 1.0 in x 4.981 * [taylor]: Taking taylor expansion of 1.0 in x 4.981 * [taylor]: Taking taylor expansion of (* x x) in x 4.981 * [taylor]: Taking taylor expansion of x in x 4.981 * [taylor]: Taking taylor expansion of x in x 4.984 * [taylor]: Taking taylor expansion of 1.0 in x 5.049 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))))) in x 5.049 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)))) in x 5.049 * [taylor]: Taking taylor expansion of 1.0 in x 5.049 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) in x 5.049 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 5.049 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.049 * [taylor]: Taking taylor expansion of 0.5 in x 5.049 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3)) in x 5.049 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3) in x 5.049 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.050 * [taylor]: Taking taylor expansion of 1.0 in x 5.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.050 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.050 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.050 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.050 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.050 * [taylor]: Taking taylor expansion of 1.0 in x 5.050 * [taylor]: Taking taylor expansion of 1.0 in x 5.050 * [taylor]: Taking taylor expansion of (* x x) in x 5.050 * [taylor]: Taking taylor expansion of x in x 5.050 * [taylor]: Taking taylor expansion of x in x 5.053 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) in x 5.068 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))))) 5.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.068 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 5.068 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.068 * [taylor]: Taking taylor expansion of 0.5 in x 5.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.068 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.068 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.068 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of 1.0 in x 5.068 * [taylor]: Taking taylor expansion of (* x x) in x 5.068 * [taylor]: Taking taylor expansion of x in x 5.068 * [taylor]: Taking taylor expansion of x in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 5.071 * [taylor]: Taking taylor expansion of 1.0 in x 5.071 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.071 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.071 * [taylor]: Taking taylor expansion of 0.5 in x 5.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.072 * [taylor]: Taking taylor expansion of 1.0 in x 5.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.072 * [taylor]: Taking taylor expansion of 1.0 in x 5.072 * [taylor]: Taking taylor expansion of 1.0 in x 5.072 * [taylor]: Taking taylor expansion of (* x x) in x 5.072 * [taylor]: Taking taylor expansion of x in x 5.072 * [taylor]: Taking taylor expansion of x in x 5.075 * [taylor]: Taking taylor expansion of 1.0 in x 9.338 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in (x) around 0 9.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.338 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.338 * [taylor]: Taking taylor expansion of 1.0 in x 9.338 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.338 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 9.338 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 9.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.338 * [taylor]: Taking taylor expansion of 1.0 in x 9.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.338 * [taylor]: Taking taylor expansion of 1.0 in x 9.338 * [taylor]: Taking taylor expansion of 1.0 in x 9.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.338 * [taylor]: Taking taylor expansion of x in x 9.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.338 * [taylor]: Taking taylor expansion of x in x 9.341 * [taylor]: Taking taylor expansion of 1.0 in x 9.345 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.345 * [taylor]: Taking taylor expansion of 0.5 in x 9.346 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 9.346 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 9.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.346 * [taylor]: Taking taylor expansion of 1.0 in x 9.346 * [taylor]: Taking taylor expansion of 1.0 in x 9.346 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 9.346 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 9.346 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.346 * [taylor]: Taking taylor expansion of 0.5 in x 9.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.347 * [taylor]: Taking taylor expansion of 1.0 in x 9.347 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.347 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.347 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.347 * [taylor]: Taking taylor expansion of 1.0 in x 9.347 * [taylor]: Taking taylor expansion of 1.0 in x 9.347 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.347 * [taylor]: Taking taylor expansion of x in x 9.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.347 * [taylor]: Taking taylor expansion of x in x 9.350 * [taylor]: Taking taylor expansion of 1.0 in x 9.350 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 9.350 * [taylor]: Taking taylor expansion of 1.0 in x 9.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.350 * [taylor]: Taking taylor expansion of 1.0 in x 9.350 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.350 * [taylor]: Taking taylor expansion of 1.0 in x 9.350 * [taylor]: Taking taylor expansion of 1.0 in x 9.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.350 * [taylor]: Taking taylor expansion of x in x 9.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.351 * [taylor]: Taking taylor expansion of x in x 9.353 * [taylor]: Taking taylor expansion of 1.0 in x 9.355 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.355 * [taylor]: Taking taylor expansion of 0.5 in x 9.381 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.381 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.381 * [taylor]: Taking taylor expansion of 1.0 in x 9.381 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.381 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3)) in x 9.381 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 3) in x 9.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.381 * [taylor]: Taking taylor expansion of 1.0 in x 9.381 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.381 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.381 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.381 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.381 * [taylor]: Taking taylor expansion of 1.0 in x 9.381 * [taylor]: Taking taylor expansion of 1.0 in x 9.381 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.381 * [taylor]: Taking taylor expansion of x in x 9.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.382 * [taylor]: Taking taylor expansion of x in x 9.385 * [taylor]: Taking taylor expansion of 1.0 in x 9.388 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.388 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.388 * [taylor]: Taking taylor expansion of 0.5 in x 9.389 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) in x 9.389 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))))) 9.389 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.389 * [taylor]: Taking taylor expansion of 1.0 in x 9.389 * [taylor]: Taking taylor expansion of 1.0 in x 9.389 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 9.389 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) 9.389 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.389 * [taylor]: Taking taylor expansion of 0.5 in x 9.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.390 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.390 * [taylor]: Taking taylor expansion of 1.0 in x 9.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.390 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.390 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.390 * [taylor]: Taking taylor expansion of 1.0 in x 9.390 * [taylor]: Taking taylor expansion of 1.0 in x 9.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.390 * [taylor]: Taking taylor expansion of x in x 9.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.390 * [taylor]: Taking taylor expansion of x in x 9.393 * [taylor]: Taking taylor expansion of 1.0 in x 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 9.393 * [taylor]: Taking taylor expansion of 1.0 in x 9.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.393 * [taylor]: Taking taylor expansion of 1.0 in x 9.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.393 * [taylor]: Taking taylor expansion of 1.0 in x 9.393 * [taylor]: Taking taylor expansion of 1.0 in x 9.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.393 * [taylor]: Taking taylor expansion of x in x 9.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.394 * [taylor]: Taking taylor expansion of x in x 9.396 * [taylor]: Taking taylor expansion of 1.0 in x 9.398 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.398 * [taylor]: Taking taylor expansion of 0.5 in x 9.915 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in (x) around 0 9.915 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.915 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.915 * [taylor]: Taking taylor expansion of 1.0 in x 9.915 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.915 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 9.915 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 9.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.915 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.915 * [taylor]: Taking taylor expansion of 1.0 in x 9.915 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.915 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.915 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.915 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.915 * [taylor]: Taking taylor expansion of 1.0 in x 9.915 * [taylor]: Taking taylor expansion of 1.0 in x 9.915 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.915 * [taylor]: Taking taylor expansion of -1 in x 9.915 * [taylor]: Taking taylor expansion of x in x 9.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.916 * [taylor]: Taking taylor expansion of -1 in x 9.916 * [taylor]: Taking taylor expansion of x in x 9.919 * [taylor]: Taking taylor expansion of 1.0 in x 9.929 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.930 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.930 * [taylor]: Taking taylor expansion of 0.5 in x 9.930 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 9.930 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 9.931 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.931 * [taylor]: Taking taylor expansion of 1.0 in x 9.931 * [taylor]: Taking taylor expansion of 1.0 in x 9.931 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 9.931 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 9.931 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.931 * [taylor]: Taking taylor expansion of 0.5 in x 9.931 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.931 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.931 * [taylor]: Taking taylor expansion of 1.0 in x 9.931 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.931 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.931 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.931 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.931 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.931 * [taylor]: Taking taylor expansion of 1.0 in x 9.931 * [taylor]: Taking taylor expansion of 1.0 in x 9.931 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.931 * [taylor]: Taking taylor expansion of -1 in x 9.931 * [taylor]: Taking taylor expansion of x in x 9.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.931 * [taylor]: Taking taylor expansion of -1 in x 9.931 * [taylor]: Taking taylor expansion of x in x 9.934 * [taylor]: Taking taylor expansion of 1.0 in x 9.934 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 9.934 * [taylor]: Taking taylor expansion of 1.0 in x 9.934 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.934 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.934 * [taylor]: Taking taylor expansion of 1.0 in x 9.934 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.934 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.935 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.935 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.935 * [taylor]: Taking taylor expansion of 1.0 in x 9.935 * [taylor]: Taking taylor expansion of 1.0 in x 9.935 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.935 * [taylor]: Taking taylor expansion of -1 in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.935 * [taylor]: Taking taylor expansion of -1 in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.938 * [taylor]: Taking taylor expansion of 1.0 in x 9.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.940 * [taylor]: Taking taylor expansion of 0.5 in x 9.959 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))))) in x 9.959 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3))) in x 9.959 * [taylor]: Taking taylor expansion of 1.0 in x 9.959 * [taylor]: Taking taylor expansion of (* (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) (pow (sqrt 0.5) 3)) in x 9.959 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3)) in x 9.959 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 3) in x 9.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.960 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.960 * [taylor]: Taking taylor expansion of 1.0 in x 9.960 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.960 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.960 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.960 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.960 * [taylor]: Taking taylor expansion of 1.0 in x 9.960 * [taylor]: Taking taylor expansion of 1.0 in x 9.960 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.960 * [taylor]: Taking taylor expansion of -1 in x 9.960 * [taylor]: Taking taylor expansion of x in x 9.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.960 * [taylor]: Taking taylor expansion of -1 in x 9.960 * [taylor]: Taking taylor expansion of x in x 9.963 * [taylor]: Taking taylor expansion of 1.0 in x 9.967 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in x 9.967 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.967 * [taylor]: Taking taylor expansion of 0.5 in x 9.968 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) in x 9.968 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))))) 9.968 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.968 * [taylor]: Taking taylor expansion of 1.0 in x 9.968 * [taylor]: Taking taylor expansion of 1.0 in x 9.968 * [taylor]: Taking taylor expansion of (fma 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 9.968 * [taylor]: Rewrote expression to (+ (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) 9.968 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.968 * [taylor]: Taking taylor expansion of 0.5 in x 9.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.968 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.968 * [taylor]: Taking taylor expansion of 1.0 in x 9.968 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.968 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.968 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.968 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.968 * [taylor]: Taking taylor expansion of 1.0 in x 9.969 * [taylor]: Taking taylor expansion of 1.0 in x 9.969 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.969 * [taylor]: Taking taylor expansion of -1 in x 9.969 * [taylor]: Taking taylor expansion of x in x 9.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.969 * [taylor]: Taking taylor expansion of -1 in x 9.969 * [taylor]: Taking taylor expansion of x in x 9.972 * [taylor]: Taking taylor expansion of 1.0 in x 9.972 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 9.972 * [taylor]: Taking taylor expansion of 1.0 in x 9.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.972 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.972 * [taylor]: Taking taylor expansion of 1.0 in x 9.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.972 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.972 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.972 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.972 * [taylor]: Taking taylor expansion of 1.0 in x 9.972 * [taylor]: Taking taylor expansion of 1.0 in x 9.972 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.972 * [taylor]: Taking taylor expansion of -1 in x 9.972 * [taylor]: Taking taylor expansion of x in x 9.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.973 * [taylor]: Taking taylor expansion of -1 in x 9.973 * [taylor]: Taking taylor expansion of x in x 9.976 * [taylor]: Taking taylor expansion of 1.0 in x 9.977 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.978 * [taylor]: Taking taylor expansion of 0.5 in x 10.506 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 3 3 2 1 2) 10.506 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 10.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 10.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 10.506 * [taylor]: Taking taylor expansion of 1.0 in x 10.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 10.506 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.506 * [taylor]: Taking taylor expansion of 1.0 in x 10.506 * [taylor]: Taking taylor expansion of 1.0 in x 10.506 * [taylor]: Taking taylor expansion of (* x x) in x 10.506 * [taylor]: Taking taylor expansion of x in x 10.506 * [taylor]: Taking taylor expansion of x in x 10.509 * [taylor]: Taking taylor expansion of 1.0 in x 10.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 10.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 10.509 * [taylor]: Taking taylor expansion of 1.0 in x 10.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 10.509 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 10.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 10.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 10.510 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.510 * [taylor]: Taking taylor expansion of 1.0 in x 10.510 * [taylor]: Taking taylor expansion of 1.0 in x 10.510 * [taylor]: Taking taylor expansion of (* x x) in x 10.510 * [taylor]: Taking taylor expansion of x in x 10.510 * [taylor]: Taking taylor expansion of x in x 10.513 * [taylor]: Taking taylor expansion of 1.0 in x 10.576 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 10.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.576 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.576 * [taylor]: Taking taylor expansion of 1.0 in x 10.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.576 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.577 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.577 * [taylor]: Taking taylor expansion of 1.0 in x 10.577 * [taylor]: Taking taylor expansion of 1.0 in x 10.577 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.577 * [taylor]: Taking taylor expansion of x in x 10.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.577 * [taylor]: Taking taylor expansion of x in x 10.580 * [taylor]: Taking taylor expansion of 1.0 in x 10.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 10.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 10.580 * [taylor]: Taking taylor expansion of 1.0 in x 10.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 10.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 10.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 10.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 10.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.580 * [taylor]: Taking taylor expansion of 1.0 in x 10.580 * [taylor]: Taking taylor expansion of 1.0 in x 10.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.580 * [taylor]: Taking taylor expansion of x in x 10.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.580 * [taylor]: Taking taylor expansion of x in x 10.583 * [taylor]: Taking taylor expansion of 1.0 in x 10.593 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 10.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.594 * [taylor]: Taking taylor expansion of 1.0 in x 10.594 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.594 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.594 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.594 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.594 * [taylor]: Taking taylor expansion of 1.0 in x 10.594 * [taylor]: Taking taylor expansion of 1.0 in x 10.594 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.594 * [taylor]: Taking taylor expansion of -1 in x 10.594 * [taylor]: Taking taylor expansion of x in x 10.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.594 * [taylor]: Taking taylor expansion of -1 in x 10.594 * [taylor]: Taking taylor expansion of x in x 10.597 * [taylor]: Taking taylor expansion of 1.0 in x 10.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 10.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 10.597 * [taylor]: Taking taylor expansion of 1.0 in x 10.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 10.597 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 10.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 10.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 10.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 10.597 * [taylor]: Taking taylor expansion of 1.0 in x 10.597 * [taylor]: Taking taylor expansion of 1.0 in x 10.597 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.597 * [taylor]: Taking taylor expansion of -1 in x 10.598 * [taylor]: Taking taylor expansion of x in x 10.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.598 * [taylor]: Taking taylor expansion of -1 in x 10.598 * [taylor]: Taking taylor expansion of x in x 10.601 * [taylor]: Taking taylor expansion of 1.0 in x 10.611 * * * [progress]: simplifying candidates 10.623 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (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))))))))) (fma (- (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 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))))) (fma (- (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (cbrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)))) (fma (- (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3)))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (pow 1 3) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (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)))))))) (fma (- (* (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 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (fma (- (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (* (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (sqrt (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1 (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))))) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 3 2)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)))) (fma (- (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (pow (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 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1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2))))) (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5))))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 10.691 * * [simplify]: iteration 0 : 2397 enodes (cost 11917 ) 10.728 * * [simplify]: iteration 1 : 5003 enodes (cost 10786 ) 10.776 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma (- (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 (* 1.0 1.0) (- (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3)))) (fma (- (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (pow (sqrt 0.5) 3) (* (pow (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt 0.5) 3))) 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(sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2) (pow (sqrt 1.0) 3))) (sqrt (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 3) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.25 (/ (* (pow x 2) (pow (sqrt 0.5) 4)) (* (pow (sqrt 1.0) 4) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 2))) (fma 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 7) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))) (* 0.0625 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 5)) (* (pow (sqrt 1.0) 6) (pow (+ (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (+ (* 0.5 (/ 1 (sqrt 1.0))) 1.5)) 3)))))))))))))))))))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (- (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (* 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2))))))))))))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (+ (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (- (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) x))) (fma 0.5 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.625 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 0.25 (/ (pow (sqrt 0.5) 2) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (pow (sqrt 1.0) 2) (pow x 2)))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) x))) (fma 1.0 (/ 1 (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)) (fma 1.125 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (pow (sqrt 1.0) 3) (pow x 2)))) (fma 0.75 (/ (pow (sqrt 0.5) 3) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (sqrt 1.0) (pow x 2)))) (fma 0.125 (/ (sqrt 0.5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) (* (pow (sqrt 1.0) 3) (pow x 2)))) (* 0.5 (/ 1 (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)))))))))))) (fma 0.25 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 0.5 (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 2) x)) (fma 0.25 (/ (pow (sqrt 0.5) 5) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (* (sqrt 1.0) (pow x 2)))) (fma 0.5 (/ (pow (sqrt 0.5) 4) (* (pow (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) 3) (pow x 2))) (fma 1.5 (/ (pow (sqrt 0.5) 3) (* (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5) (* (sqrt 1.0) (pow x 2)))) (/ (* (sqrt 1.0) (pow (sqrt 0.5) 3)) (+ (* 1.0 (* (sqrt 1.0) (sqrt 0.5))) 1.5)))))))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 10.782 * * * [progress]: adding candidates to table 11.752 * [progress]: [Phase 3 of 3] Extracting. 11.752 * * [regime]: Finding splitpoints for: (# # # # # # #) 11.755 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 11.755 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # # #) 11.799 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 11.829 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # # #) 11.875 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 11.903 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # # #) 11.945 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 11.966 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 12.022 * * * [regime]: Found split indices: #