21.605 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.038 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.070 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.070 * [taylor]: Taking taylor expansion of 0.5 in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (* x x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.084 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.085 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.085 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.085 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (* x x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [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 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.319 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.326 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.331 * [taylor]: Taking taylor expansion of 0.5 in x 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.381 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.420 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.421 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.421 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (* x x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.424 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.424 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (* x x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.491 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.505 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.522 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (* x x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (* x x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.568 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.572 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.572 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.595 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.595 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.596 * [taylor]: Taking taylor expansion of -1 in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.621 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.621 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.621 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (* x x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.624 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.624 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (* x x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.643 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.661 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.664 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.678 * * * [progress]: simplifying candidates 0.680 * [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)))) 0.688 * * [simplify]: iteration 0 : 539 enodes (cost 998 ) 0.698 * * [simplify]: iteration 1 : 2059 enodes (cost 745 ) 0.732 * * [simplify]: iteration 2 : 5001 enodes (cost 742 ) 0.737 * [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)))) 0.737 * * * [progress]: adding candidates to table 0.979 * * [progress]: iteration 2 / 4 0.979 * * * [progress]: picking best candidate 0.987 * * * * [pick]: Picked # 0.987 * * * [progress]: localizing error 1.000 * * * [progress]: generating rewritten candidates 1.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.015 * * * [progress]: generating series expansions 1.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.016 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.016 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.016 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.016 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.016 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.016 * [taylor]: Taking taylor expansion of 0.5 in x 1.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.016 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.016 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.016 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (* x x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.020 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.020 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.020 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.020 * [taylor]: Taking taylor expansion of 0.5 in x 1.020 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.020 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.020 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.020 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.020 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (* x x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.112 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.112 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.112 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.112 * [taylor]: Taking taylor expansion of 0.5 in x 1.112 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.112 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.112 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.116 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.116 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.116 * [taylor]: Taking taylor expansion of 0.5 in x 1.116 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.116 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.116 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.116 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.116 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.141 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.141 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.141 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.141 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.141 * [taylor]: Taking taylor expansion of 0.5 in x 1.141 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.141 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.141 * [taylor]: Taking taylor expansion of -1 in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.141 * [taylor]: Taking taylor expansion of -1 in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.145 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.145 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.145 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.145 * [taylor]: Taking taylor expansion of 0.5 in x 1.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.145 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.167 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.167 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.167 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.167 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.167 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.167 * [taylor]: Taking taylor expansion of 0.5 in x 1.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.167 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.167 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.167 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [taylor]: Taking taylor expansion of (* x x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.170 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.170 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.170 * [taylor]: Taking taylor expansion of 0.5 in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.171 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (* x x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.199 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.199 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.199 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.199 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.199 * [taylor]: Taking taylor expansion of 0.5 in x 1.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.200 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (* x x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.203 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.203 * [taylor]: Taking taylor expansion of 0.5 in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.203 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.204 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.204 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of (* x x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.032 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.032 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.032 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.032 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.032 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.032 * [taylor]: Taking taylor expansion of 0.5 in x 2.032 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.032 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.032 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.032 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.032 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.033 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.033 * [taylor]: Taking taylor expansion of 1.0 in x 2.033 * [taylor]: Taking taylor expansion of 1.0 in x 2.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.036 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.036 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.036 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.036 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of 1.0 in x 2.041 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.041 * [taylor]: Taking taylor expansion of 0.5 in x 2.042 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.048 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.048 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.048 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.048 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.048 * [taylor]: Taking taylor expansion of 0.5 in x 2.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.048 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.048 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.048 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.048 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.048 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.051 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.057 * [taylor]: Taking taylor expansion of 0.5 in x 2.058 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.196 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.197 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.197 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.197 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.197 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.197 * [taylor]: Taking taylor expansion of 0.5 in x 2.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.197 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.197 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.200 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.201 * [taylor]: Taking taylor expansion of 1.0 in x 2.201 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.201 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.201 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.201 * [taylor]: Taking taylor expansion of 1.0 in x 2.201 * [taylor]: Taking taylor expansion of 1.0 in x 2.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.206 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.206 * [taylor]: Taking taylor expansion of 0.5 in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.212 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.212 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.212 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.212 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.212 * [taylor]: Taking taylor expansion of 0.5 in x 2.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.212 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.212 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.212 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.212 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.212 * [taylor]: Taking taylor expansion of -1 in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.213 * [taylor]: Taking taylor expansion of -1 in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.216 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.216 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.216 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.216 * [taylor]: Taking taylor expansion of -1 in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.216 * [taylor]: Taking taylor expansion of -1 in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.222 * [taylor]: Taking taylor expansion of 0.5 in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.365 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.365 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.365 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (* x x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (* x x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.413 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.413 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.414 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.417 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.441 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.441 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.441 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.441 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.441 * [taylor]: Taking taylor expansion of -1 in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.441 * [taylor]: Taking taylor expansion of -1 in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.444 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.445 * [taylor]: Taking taylor expansion of 1.0 in x 2.445 * [taylor]: Taking taylor expansion of 1.0 in x 2.445 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.445 * [taylor]: Taking taylor expansion of -1 in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.445 * [taylor]: Taking taylor expansion of -1 in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.468 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.468 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.469 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (* x x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.472 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (* x x) in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.518 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.518 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.545 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.545 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.545 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.545 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.545 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.548 * [taylor]: Taking taylor expansion of 1.0 in x 2.548 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.549 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.549 * [taylor]: Taking taylor expansion of -1 in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.549 * [taylor]: Taking taylor expansion of -1 in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.578 * * * [progress]: simplifying candidates 2.580 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (- (* 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)))))))) (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 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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))))) 2.591 * * [simplify]: iteration 0 : 764 enodes (cost 1571 ) 2.607 * * [simplify]: iteration 1 : 3539 enodes (cost 1461 ) 2.662 * * [simplify]: iteration 2 : 5001 enodes (cost 1448 ) 2.669 * [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) 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0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.670 * * * [progress]: adding candidates to table 3.068 * * [progress]: iteration 3 / 4 3.068 * * * [progress]: picking best candidate 3.090 * * * * [pick]: Picked # 3.090 * * * [progress]: localizing error 3.107 * * * [progress]: generating rewritten candidates 3.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.112 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.113 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.118 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 3.123 * * * [progress]: generating series expansions 3.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.123 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.123 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.124 * [taylor]: Taking taylor expansion of 1.0 in x 3.124 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.124 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.124 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.124 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.124 * [taylor]: Taking taylor expansion of 1.0 in x 3.124 * [taylor]: Taking taylor expansion of 1.0 in x 3.124 * [taylor]: Taking taylor expansion of (* x x) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.127 * [taylor]: Taking taylor expansion of 1.0 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 3.166 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.166 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.176 * [taylor]: Taking taylor expansion of 1.0 in x 3.176 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.176 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.176 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.176 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.176 * [taylor]: Taking taylor expansion of 1.0 in x 3.176 * [taylor]: Taking taylor expansion of 1.0 in x 3.176 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.198 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.198 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.198 * [taylor]: Taking taylor expansion of 1.0 in x 3.198 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.199 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.199 * [taylor]: Taking taylor expansion of 1.0 in x 3.199 * [taylor]: Taking taylor expansion of 1.0 in x 3.199 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.199 * [taylor]: Taking taylor expansion of -1 in x 3.199 * [taylor]: Taking taylor expansion of x in x 3.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.199 * [taylor]: Taking taylor expansion of -1 in x 3.199 * [taylor]: Taking taylor expansion of x in x 3.202 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.202 * [taylor]: Taking taylor expansion of 1.0 in x 3.202 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.202 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.202 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.202 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.202 * [taylor]: Taking taylor expansion of 1.0 in x 3.202 * [taylor]: Taking taylor expansion of 1.0 in x 3.202 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.202 * [taylor]: Taking taylor expansion of -1 in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.203 * [taylor]: Taking taylor expansion of -1 in x 3.203 * [taylor]: Taking taylor expansion of x in x 3.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.225 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.225 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.225 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.225 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.226 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.226 * [taylor]: Taking taylor expansion of 0.5 in x 3.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.226 * [taylor]: Taking taylor expansion of 1.0 in x 3.226 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.226 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.226 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.226 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.226 * [taylor]: Taking taylor expansion of 1.0 in x 3.226 * [taylor]: Taking taylor expansion of 1.0 in x 3.226 * [taylor]: Taking taylor expansion of (* x x) in x 3.226 * [taylor]: Taking taylor expansion of x in x 3.226 * [taylor]: Taking taylor expansion of x in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.229 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.229 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.229 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.229 * [taylor]: Taking taylor expansion of 0.5 in x 3.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.229 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.229 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.229 * [taylor]: Taking taylor expansion of (* x x) in x 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [taylor]: Taking taylor expansion of x in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.324 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.324 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.324 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.324 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.324 * [taylor]: Taking taylor expansion of 0.5 in x 3.324 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.324 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.324 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of 1.0 in x 3.327 * [taylor]: Taking taylor expansion of 1.0 in x 3.327 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.328 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.328 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.328 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.328 * [taylor]: Taking taylor expansion of 0.5 in x 3.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.328 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.328 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.328 * [taylor]: Taking taylor expansion of x in x 3.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.328 * [taylor]: Taking taylor expansion of x in x 3.331 * [taylor]: Taking taylor expansion of 1.0 in x 3.331 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.356 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.356 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.356 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.356 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.356 * [taylor]: Taking taylor expansion of 0.5 in x 3.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.356 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.356 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.356 * [taylor]: Taking taylor expansion of -1 in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.357 * [taylor]: Taking taylor expansion of -1 in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.360 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.360 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.360 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.360 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.360 * [taylor]: Taking taylor expansion of 0.5 in x 3.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.360 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.361 * [taylor]: Taking taylor expansion of 1.0 in x 3.361 * [taylor]: Taking taylor expansion of 1.0 in x 3.361 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.361 * [taylor]: Taking taylor expansion of -1 in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.361 * [taylor]: Taking taylor expansion of -1 in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.383 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.383 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.383 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.383 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.383 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.383 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.384 * [taylor]: Taking taylor expansion of 0.5 in x 3.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.384 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.384 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.384 * [taylor]: Taking taylor expansion of (* x x) in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.387 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.387 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.387 * [taylor]: Taking taylor expansion of 0.5 in x 3.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.388 * [taylor]: Taking taylor expansion of 1.0 in x 3.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.388 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.388 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.388 * [taylor]: Taking taylor expansion of 1.0 in x 3.388 * [taylor]: Taking taylor expansion of 1.0 in x 3.388 * [taylor]: Taking taylor expansion of (* x x) in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.416 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.416 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.416 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.416 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.416 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.416 * [taylor]: Taking taylor expansion of 0.5 in x 3.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.416 * [taylor]: Taking taylor expansion of 1.0 in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.416 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.416 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.416 * [taylor]: Taking taylor expansion of 1.0 in x 3.416 * [taylor]: Taking taylor expansion of 1.0 in x 3.416 * [taylor]: Taking taylor expansion of (* x x) in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.425 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.425 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.425 * [taylor]: Taking taylor expansion of 0.5 in x 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.426 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.426 * [taylor]: Taking taylor expansion of 1.0 in x 3.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.426 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.427 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.427 * [taylor]: Taking taylor expansion of 1.0 in x 3.427 * [taylor]: Taking taylor expansion of 1.0 in x 3.427 * [taylor]: Taking taylor expansion of (* x x) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.430 * [taylor]: Taking taylor expansion of 1.0 in x 3.436 * [taylor]: Taking taylor expansion of 1.0 in x 4.259 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.259 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.259 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.259 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.259 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.259 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.259 * [taylor]: Taking taylor expansion of 0.5 in x 4.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.259 * [taylor]: Taking taylor expansion of 1.0 in x 4.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.259 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.260 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.260 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.260 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.260 * [taylor]: Taking taylor expansion of 1.0 in x 4.260 * [taylor]: Taking taylor expansion of 1.0 in x 4.260 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.260 * [taylor]: Taking taylor expansion of x in x 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.260 * [taylor]: Taking taylor expansion of x in x 4.263 * [taylor]: Taking taylor expansion of 1.0 in x 4.263 * [taylor]: Taking taylor expansion of 1.0 in x 4.263 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.263 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.263 * [taylor]: Taking taylor expansion of 1.0 in x 4.263 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.263 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.263 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.263 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.263 * [taylor]: Taking taylor expansion of 1.0 in x 4.263 * [taylor]: Taking taylor expansion of 1.0 in x 4.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.267 * [taylor]: Taking taylor expansion of 1.0 in x 4.268 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.268 * [taylor]: Taking taylor expansion of 0.5 in x 4.269 * [taylor]: Taking taylor expansion of 1.0 in x 4.274 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.274 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.275 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.275 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.275 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.275 * [taylor]: Taking taylor expansion of 0.5 in x 4.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.275 * [taylor]: Taking taylor expansion of 1.0 in x 4.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.275 * [taylor]: Taking taylor expansion of 1.0 in x 4.275 * [taylor]: Taking taylor expansion of 1.0 in x 4.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.275 * [taylor]: Taking taylor expansion of x in x 4.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.275 * [taylor]: Taking taylor expansion of x in x 4.278 * [taylor]: Taking taylor expansion of 1.0 in x 4.278 * [taylor]: Taking taylor expansion of 1.0 in x 4.278 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.278 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.278 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.278 * [taylor]: Taking taylor expansion of 1.0 in x 4.278 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.278 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.278 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.278 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.278 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.278 * [taylor]: Taking taylor expansion of 1.0 in x 4.278 * [taylor]: Taking taylor expansion of 1.0 in x 4.278 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.278 * [taylor]: Taking taylor expansion of x in x 4.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.279 * [taylor]: Taking taylor expansion of x in x 4.282 * [taylor]: Taking taylor expansion of 1.0 in x 4.283 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.283 * [taylor]: Taking taylor expansion of 0.5 in x 4.284 * [taylor]: Taking taylor expansion of 1.0 in x 4.424 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.425 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.425 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.425 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.425 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.425 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.425 * [taylor]: Taking taylor expansion of 0.5 in x 4.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.425 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.425 * [taylor]: Taking taylor expansion of 1.0 in x 4.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.425 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.425 * [taylor]: Taking taylor expansion of 1.0 in x 4.425 * [taylor]: Taking taylor expansion of 1.0 in x 4.425 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of x in x 4.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of x in x 4.428 * [taylor]: Taking taylor expansion of 1.0 in x 4.429 * [taylor]: Taking taylor expansion of 1.0 in x 4.429 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.429 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.429 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.429 * [taylor]: Taking taylor expansion of 1.0 in x 4.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.429 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.429 * [taylor]: Taking taylor expansion of 1.0 in x 4.429 * [taylor]: Taking taylor expansion of 1.0 in x 4.429 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.429 * [taylor]: Taking taylor expansion of -1 in x 4.429 * [taylor]: Taking taylor expansion of x in x 4.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.429 * [taylor]: Taking taylor expansion of -1 in x 4.429 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of 1.0 in x 4.434 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.434 * [taylor]: Taking taylor expansion of 0.5 in x 4.435 * [taylor]: Taking taylor expansion of 1.0 in x 4.440 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.440 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.440 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.440 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.440 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.440 * [taylor]: Taking taylor expansion of 0.5 in x 4.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.440 * [taylor]: Taking taylor expansion of 1.0 in x 4.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.440 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.440 * [taylor]: Taking taylor expansion of 1.0 in x 4.440 * [taylor]: Taking taylor expansion of 1.0 in x 4.440 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.440 * [taylor]: Taking taylor expansion of -1 in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.441 * [taylor]: Taking taylor expansion of -1 in x 4.441 * [taylor]: Taking taylor expansion of x in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.444 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.444 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of 1.0 in x 4.444 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.444 * [taylor]: Taking taylor expansion of -1 in x 4.444 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.445 * [taylor]: Taking taylor expansion of -1 in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.450 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.450 * [taylor]: Taking taylor expansion of 0.5 in x 4.450 * [taylor]: Taking taylor expansion of 1.0 in x 4.592 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 4.592 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.593 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.593 * [taylor]: Taking taylor expansion of 1.0 in x 4.593 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.593 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.593 * [taylor]: Taking taylor expansion of 1.0 in x 4.593 * [taylor]: Taking taylor expansion of 1.0 in x 4.593 * [taylor]: Taking taylor expansion of (* x x) in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.596 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.596 * [taylor]: Taking taylor expansion of 1.0 in x 4.596 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.596 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.596 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.596 * [taylor]: Taking taylor expansion of 1.0 in x 4.596 * [taylor]: Taking taylor expansion of 1.0 in x 4.596 * [taylor]: Taking taylor expansion of (* x x) in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.643 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.643 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.643 * [taylor]: Taking taylor expansion of 1.0 in x 4.643 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.643 * [taylor]: Taking taylor expansion of 1.0 in x 4.643 * [taylor]: Taking taylor expansion of 1.0 in x 4.643 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.644 * [taylor]: Taking taylor expansion of x in x 4.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.644 * [taylor]: Taking taylor expansion of x in x 4.647 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.647 * [taylor]: Taking taylor expansion of 1.0 in x 4.647 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.647 * [taylor]: Taking taylor expansion of 1.0 in x 4.647 * [taylor]: Taking taylor expansion of 1.0 in x 4.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.669 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.669 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.669 * [taylor]: Taking taylor expansion of 1.0 in x 4.669 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.669 * [taylor]: Taking taylor expansion of 1.0 in x 4.669 * [taylor]: Taking taylor expansion of 1.0 in x 4.669 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.669 * [taylor]: Taking taylor expansion of -1 in x 4.669 * [taylor]: Taking taylor expansion of x in x 4.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.670 * [taylor]: Taking taylor expansion of -1 in x 4.670 * [taylor]: Taking taylor expansion of x in x 4.673 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.673 * [taylor]: Taking taylor expansion of 1.0 in x 4.673 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.673 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.673 * [taylor]: Taking taylor expansion of 1.0 in x 4.673 * [taylor]: Taking taylor expansion of 1.0 in x 4.673 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.673 * [taylor]: Taking taylor expansion of -1 in x 4.673 * [taylor]: Taking taylor expansion of x in x 4.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.673 * [taylor]: Taking taylor expansion of -1 in x 4.673 * [taylor]: Taking taylor expansion of x in x 4.696 * * * [progress]: simplifying candidates 4.698 * [simplify]: Simplifying using # : (expm1 (log (exp (/ 1.0 (hypot 1.0 x))))) (log1p (log (exp (/ 1.0 (hypot 1.0 x))))) (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log 1) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (exp (/ 1.0 (hypot 1.0 x))))) (exp (log (exp (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (* (* (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (expm1 (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x)))))) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 1) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 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(hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1)) (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) 1)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5))) 1)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (- 0.5) (/ (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 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 4.797 * * * [progress]: adding candidates to table 5.223 * * [progress]: iteration 4 / 4 5.223 * * * [progress]: picking best candidate 5.234 * * * * [pick]: Picked # 5.234 * * * [progress]: localizing error 5.258 * * * [progress]: generating rewritten candidates 5.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 5.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2) 5.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1) 5.272 * * * [progress]: generating series expansions 5.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 5.272 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.272 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.272 * [taylor]: Taking taylor expansion of 1.0 in x 5.272 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.272 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.272 * [taylor]: Taking taylor expansion of 1.0 in x 5.272 * [taylor]: Taking taylor expansion of 1.0 in x 5.272 * [taylor]: Taking taylor expansion of (* x x) in x 5.272 * [taylor]: Taking taylor expansion of x in x 5.272 * [taylor]: Taking taylor expansion of x in x 5.276 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.276 * [taylor]: Taking taylor expansion of 1.0 in x 5.276 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.276 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.276 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.276 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.276 * [taylor]: Taking taylor expansion of 1.0 in x 5.276 * [taylor]: Taking taylor expansion of 1.0 in x 5.276 * [taylor]: Taking taylor expansion of (* x x) in x 5.276 * [taylor]: Taking taylor expansion of x in x 5.276 * [taylor]: Taking taylor expansion of x in x 5.316 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.316 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.317 * [taylor]: Taking taylor expansion of x in x 5.319 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.320 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.320 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of 1.0 in x 5.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.350 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.350 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.350 * [taylor]: Taking taylor expansion of 1.0 in x 5.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.350 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.350 * [taylor]: Taking taylor expansion of 1.0 in x 5.350 * [taylor]: Taking taylor expansion of 1.0 in x 5.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.350 * [taylor]: Taking taylor expansion of -1 in x 5.350 * [taylor]: Taking taylor expansion of x in x 5.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.350 * [taylor]: Taking taylor expansion of -1 in x 5.350 * [taylor]: Taking taylor expansion of x in x 5.354 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.354 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.354 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.354 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.354 * [taylor]: Taking taylor expansion of -1 in x 5.354 * [taylor]: Taking taylor expansion of x in x 5.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.354 * [taylor]: Taking taylor expansion of -1 in x 5.354 * [taylor]: Taking taylor expansion of x in x 5.377 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.378 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 5.378 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.378 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.378 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.378 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.378 * [taylor]: Taking taylor expansion of 0.5 in x 5.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.378 * [taylor]: Taking taylor expansion of 1.0 in x 5.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.378 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.378 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.378 * [taylor]: Taking taylor expansion of 1.0 in x 5.378 * [taylor]: Taking taylor expansion of 1.0 in x 5.378 * [taylor]: Taking taylor expansion of (* x x) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.381 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.381 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.381 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.381 * [taylor]: Taking taylor expansion of 0.5 in x 5.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.381 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.381 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.381 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [taylor]: Taking taylor expansion of (* x x) in x 5.382 * [taylor]: Taking taylor expansion of x in x 5.382 * [taylor]: Taking taylor expansion of x in x 5.384 * [taylor]: Taking taylor expansion of 1.0 in x 5.384 * [taylor]: Taking taylor expansion of 1.0 in x 5.474 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 5.474 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.475 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.475 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.475 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.475 * [taylor]: Taking taylor expansion of 0.5 in x 5.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.475 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.475 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.475 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.478 * [taylor]: Taking taylor expansion of 1.0 in x 5.478 * [taylor]: Taking taylor expansion of 1.0 in x 5.478 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.478 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.478 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.478 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.478 * [taylor]: Taking taylor expansion of 0.5 in x 5.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.478 * [taylor]: Taking taylor expansion of 1.0 in x 5.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.478 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.479 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.479 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.482 * [taylor]: Taking taylor expansion of 1.0 in x 5.482 * [taylor]: Taking taylor expansion of 1.0 in x 5.506 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 5.506 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.507 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.507 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.507 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.507 * [taylor]: Taking taylor expansion of 0.5 in x 5.507 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.507 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.507 * [taylor]: Taking taylor expansion of 1.0 in x 5.507 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.507 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.507 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.507 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.507 * [taylor]: Taking taylor expansion of 1.0 in x 5.507 * [taylor]: Taking taylor expansion of 1.0 in x 5.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.507 * [taylor]: Taking taylor expansion of -1 in x 5.507 * [taylor]: Taking taylor expansion of x in x 5.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.508 * [taylor]: Taking taylor expansion of -1 in x 5.508 * [taylor]: Taking taylor expansion of x in x 5.511 * [taylor]: Taking taylor expansion of 1.0 in x 5.511 * [taylor]: Taking taylor expansion of 1.0 in x 5.511 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.511 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.511 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.511 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.511 * [taylor]: Taking taylor expansion of 0.5 in x 5.511 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.511 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.511 * [taylor]: Taking taylor expansion of 1.0 in x 5.511 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.511 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.511 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.511 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.511 * [taylor]: Taking taylor expansion of 1.0 in x 5.511 * [taylor]: Taking taylor expansion of 1.0 in x 5.511 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.511 * [taylor]: Taking taylor expansion of -1 in x 5.511 * [taylor]: Taking taylor expansion of x in x 5.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.511 * [taylor]: Taking taylor expansion of -1 in x 5.511 * [taylor]: Taking taylor expansion of x in x 5.514 * [taylor]: Taking taylor expansion of 1.0 in x 5.514 * [taylor]: Taking taylor expansion of 1.0 in x 5.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2) 5.532 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.532 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.532 * [taylor]: Taking taylor expansion of 1.0 in x 5.532 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.532 * [taylor]: Taking taylor expansion of 1.0 in x 5.532 * [taylor]: Taking taylor expansion of 1.0 in x 5.532 * [taylor]: Taking taylor expansion of (* x x) in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.535 * [taylor]: Taking taylor expansion of 1.0 in x 5.535 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.535 * [taylor]: Taking taylor expansion of 1.0 in x 5.535 * [taylor]: Taking taylor expansion of 1.0 in x 5.535 * [taylor]: Taking taylor expansion of (* x x) in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.575 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.578 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.578 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.579 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.611 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.611 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.611 * [taylor]: Taking taylor expansion of 1.0 in x 5.611 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.612 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.612 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.612 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.612 * [taylor]: Taking taylor expansion of -1 in x 5.612 * [taylor]: Taking taylor expansion of x in x 5.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.612 * [taylor]: Taking taylor expansion of -1 in x 5.612 * [taylor]: Taking taylor expansion of x in x 5.615 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.615 * [taylor]: Taking taylor expansion of 1.0 in x 5.615 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.615 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.615 * [taylor]: Taking taylor expansion of 1.0 in x 5.615 * [taylor]: Taking taylor expansion of 1.0 in x 5.615 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.615 * [taylor]: Taking taylor expansion of -1 in x 5.615 * [taylor]: Taking taylor expansion of x in x 5.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.616 * [taylor]: Taking taylor expansion of -1 in x 5.616 * [taylor]: Taking taylor expansion of x in x 5.638 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1) 5.638 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.639 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.639 * [taylor]: Taking taylor expansion of 1.0 in x 5.639 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.639 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.639 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.639 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.639 * [taylor]: Taking taylor expansion of 1.0 in x 5.639 * [taylor]: Taking taylor expansion of 1.0 in x 5.639 * [taylor]: Taking taylor expansion of (* x x) in x 5.639 * [taylor]: Taking taylor expansion of x in x 5.639 * [taylor]: Taking taylor expansion of x in x 5.642 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.642 * [taylor]: Taking taylor expansion of 1.0 in x 5.642 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.642 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.642 * [taylor]: Taking taylor expansion of 1.0 in x 5.642 * [taylor]: Taking taylor expansion of 1.0 in x 5.642 * [taylor]: Taking taylor expansion of (* x x) in x 5.642 * [taylor]: Taking taylor expansion of x in x 5.642 * [taylor]: Taking taylor expansion of x in x 5.689 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.689 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.689 * [taylor]: Taking taylor expansion of 1.0 in x 5.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.689 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.689 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.689 * [taylor]: Taking taylor expansion of 1.0 in x 5.689 * [taylor]: Taking taylor expansion of 1.0 in x 5.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.692 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.692 * [taylor]: Taking taylor expansion of 1.0 in x 5.692 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.692 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.692 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.692 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.693 * [taylor]: Taking taylor expansion of 1.0 in x 5.693 * [taylor]: Taking taylor expansion of 1.0 in x 5.693 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.693 * [taylor]: Taking taylor expansion of x in x 5.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.693 * [taylor]: Taking taylor expansion of x in x 5.715 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.715 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.715 * [taylor]: Taking taylor expansion of 1.0 in x 5.715 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.715 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.715 * [taylor]: Taking taylor expansion of 1.0 in x 5.715 * [taylor]: Taking taylor expansion of 1.0 in x 5.715 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.715 * [taylor]: Taking taylor expansion of -1 in x 5.715 * [taylor]: Taking taylor expansion of x in x 5.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.715 * [taylor]: Taking taylor expansion of -1 in x 5.715 * [taylor]: Taking taylor expansion of x in x 5.718 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.719 * [taylor]: Taking taylor expansion of 1.0 in x 5.719 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.719 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.719 * [taylor]: Taking taylor expansion of 1.0 in x 5.719 * [taylor]: Taking taylor expansion of 1.0 in x 5.719 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.719 * [taylor]: Taking taylor expansion of -1 in x 5.719 * [taylor]: Taking taylor expansion of x in x 5.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.719 * [taylor]: Taking taylor expansion of -1 in x 5.719 * [taylor]: Taking taylor expansion of x in x 5.741 * * * [progress]: simplifying candidates 5.743 * [simplify]: Simplifying using # : (expm1 (log (exp (/ 1.0 (hypot 1.0 x))))) (log1p (log (exp (/ 1.0 (hypot 1.0 x))))) (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log 1) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (exp (/ 1.0 (hypot 1.0 x))))) (exp (log (exp (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (* (* (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (expm1 (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x)))))) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 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) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 0.25 (/ (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))))) 5.749 * * [simplify]: iteration 0 : 290 enodes (cost 639 ) 5.754 * * [simplify]: iteration 1 : 922 enodes (cost 581 ) 5.773 * * [simplify]: iteration 2 : 4602 enodes (cost 574 ) 5.900 * * [simplify]: iteration 3 : 5001 enodes (cost 567 ) 5.910 * [simplify]: Simplified to: (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (* 2 (log (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0 (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 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 1.0)) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) 1 1 1.0 (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (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))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (expm1 (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5)) (log (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (pow (fma (+ (/ 1.0 (hypot 1.0 x)) 1.0) (- 0.5) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (log (exp (/ 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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) 5.911 * * * [progress]: adding candidates to table 6.330 * [progress]: [Phase 3 of 3] Extracting. 6.330 * * [regime]: Finding splitpoints for: (# # #) 6.332 * * * [regime-changes]: Trying 3 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) x) 6.332 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 6.360 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 6.376 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 6.406 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 6.423 * * * * [regimes]: Trying to branch on x from (# # #) 6.455 * * * [regime]: Found split indices: #