29.999 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.039 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.041 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.041 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.061 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.066 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.066 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.066 * [taylor]: Taking taylor expansion of 0.5 in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.067 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.067 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (* x x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [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 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.322 * [taylor]: Taking taylor expansion of 0.5 in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.329 * [taylor]: Taking taylor expansion of 0.5 in x 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.365 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.366 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.371 * [taylor]: Taking taylor expansion of 0.5 in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.372 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.372 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.378 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.417 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.418 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.418 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.418 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (* x x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.427 * [taylor]: Taking taylor expansion of 0.5 in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.427 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.428 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.428 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (* x x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.607 * [taylor]: Taking taylor expansion of 0.5 in x 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.608 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.613 * [taylor]: Taking taylor expansion of 0.5 in x 0.639 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.639 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.640 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.645 * [taylor]: Taking taylor expansion of 0.5 in x 0.646 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.646 * [taylor]: Taking taylor expansion of -1 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.646 * [taylor]: Taking taylor expansion of -1 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.652 * [taylor]: Taking taylor expansion of 0.5 in x 0.674 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2) 0.674 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (* x x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of (* x x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.720 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.724 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.747 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.747 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.751 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.751 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.774 * * * [progress]: simplifying candidates 0.775 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (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))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 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))))) 0.786 * * [simplify]: iteration 0 : 488 enodes (cost 1022 ) 0.794 * * [simplify]: iteration 1 : 1852 enodes (cost 782 ) 0.825 * * [simplify]: iteration 2 : 5003 enodes (cost 780 ) 0.829 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (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) (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 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)))))) 0.830 * * * [progress]: adding candidates to table 1.033 * * [progress]: iteration 2 / 4 1.033 * * * [progress]: picking best candidate 1.046 * * * * [pick]: Picked # 1.046 * * * [progress]: localizing error 1.058 * * * [progress]: generating rewritten candidates 1.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.058 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.061 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.070 * * * [progress]: generating series expansions 1.070 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.071 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.071 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.071 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.071 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.071 * [taylor]: Taking taylor expansion of 0.5 in x 1.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (* x x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.075 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.075 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.075 * [taylor]: Taking taylor expansion of 0.5 in x 1.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.075 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.075 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.075 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (* x x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.167 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.167 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 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 (/ 1 x)))) 1.0) in x 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 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 (/ 1 x))) in x 1.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.168 * [taylor]: Taking taylor expansion of x 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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.171 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.171 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.171 * [taylor]: Taking taylor expansion of 0.5 in x 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 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 (/ 1 x))) in x 1.171 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.199 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.199 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.199 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x)))) 1.0) in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.199 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.200 * [taylor]: Taking taylor expansion of -1 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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.203 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.203 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.203 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.203 * [taylor]: Taking taylor expansion of 0.5 in x 1.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.203 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.203 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 (* (/ -1 x) (/ -1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.203 * [taylor]: Taking taylor expansion of -1 in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.225 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.225 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.225 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.225 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.225 * [taylor]: Taking taylor expansion of 0.5 in x 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.226 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.226 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (* x x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.235 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.235 * [taylor]: Taking taylor expansion of 0.5 in x 1.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.236 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.236 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.236 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (* x x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.455 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.455 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.455 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.455 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.461 * [taylor]: Taking taylor expansion of 0.5 in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.461 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.461 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.462 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.467 * [taylor]: Taking taylor expansion of 0.5 in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.497 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.497 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.497 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.497 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.497 * [taylor]: Taking taylor expansion of -1 in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.497 * [taylor]: Taking taylor expansion of -1 in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.502 * [taylor]: Taking taylor expansion of 0.5 in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.503 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.503 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.503 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.503 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.503 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.504 * [taylor]: Taking taylor expansion of -1 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.504 * [taylor]: Taking taylor expansion of -1 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.509 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.509 * [taylor]: Taking taylor expansion of 0.5 in x 1.510 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.545 * [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 1.545 * [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 1.545 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.546 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.546 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.546 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.546 * [taylor]: Taking taylor expansion of 0.5 in x 1.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.546 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (* x x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.549 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.549 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.549 * [taylor]: Taking taylor expansion of 0.5 in x 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.550 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.550 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (* x x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [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 1.579 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.579 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.579 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.579 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.579 * [taylor]: Taking taylor expansion of 0.5 in x 1.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.579 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.579 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of (* x x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.582 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.582 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.582 * [taylor]: Taking taylor expansion of 0.5 in x 1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.583 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.583 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (* x x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [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 2.593 * [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 2.593 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.593 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.593 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.593 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.593 * [taylor]: Taking taylor expansion of 0.5 in x 2.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.597 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.597 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.597 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.597 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.597 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.598 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.602 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.602 * [taylor]: Taking taylor expansion of 0.5 in x 2.603 * [taylor]: Taking taylor expansion of 1.0 in x 2.608 * [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 2.609 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.609 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.609 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.609 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.609 * [taylor]: Taking taylor expansion of 0.5 in x 2.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.609 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.609 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.609 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.609 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.609 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.612 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.612 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.612 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.613 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.618 * [taylor]: Taking taylor expansion of 0.5 in x 2.619 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [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 2.761 * [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 2.761 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.761 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.761 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.761 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.761 * [taylor]: Taking taylor expansion of 0.5 in x 2.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.761 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.761 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.761 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.761 * [taylor]: Taking taylor expansion of -1 in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.762 * [taylor]: Taking taylor expansion of -1 in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.765 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.765 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.765 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.765 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of 1.0 in x 2.771 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.771 * [taylor]: Taking taylor expansion of 0.5 in x 2.771 * [taylor]: Taking taylor expansion of 1.0 in x 2.776 * [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 2.776 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.777 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.777 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.777 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.777 * [taylor]: Taking taylor expansion of 0.5 in x 2.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.777 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.777 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.777 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.777 * [taylor]: Taking taylor expansion of -1 in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.777 * [taylor]: Taking taylor expansion of -1 in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.780 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.781 * [taylor]: Taking taylor expansion of 1.0 in x 2.781 * [taylor]: Taking taylor expansion of 1.0 in x 2.781 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.781 * [taylor]: Taking taylor expansion of -1 in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.781 * [taylor]: Taking taylor expansion of -1 in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.786 * [taylor]: Taking taylor expansion of 0.5 in x 2.787 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.929 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.929 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.929 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of (* x x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.932 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.932 * [taylor]: Taking taylor expansion of 1.0 in x 2.932 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.933 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.933 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.933 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.933 * [taylor]: Taking taylor expansion of 1.0 in x 2.933 * [taylor]: Taking taylor expansion of 1.0 in x 2.933 * [taylor]: Taking taylor expansion of (* x x) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.979 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.979 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.979 * [taylor]: Taking taylor expansion of 1.0 in x 2.979 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.979 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.979 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.979 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.979 * [taylor]: Taking taylor expansion of 1.0 in x 2.979 * [taylor]: Taking taylor expansion of 1.0 in x 2.979 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.982 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.983 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.983 * [taylor]: Taking taylor expansion of 1.0 in x 2.983 * [taylor]: Taking taylor expansion of 1.0 in x 2.983 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 3.006 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.006 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.006 * [taylor]: Taking taylor expansion of 1.0 in x 3.006 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.006 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.006 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.006 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.006 * [taylor]: Taking taylor expansion of 1.0 in x 3.006 * [taylor]: Taking taylor expansion of 1.0 in x 3.006 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.006 * [taylor]: Taking taylor expansion of -1 in x 3.006 * [taylor]: Taking taylor expansion of x in x 3.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.007 * [taylor]: Taking taylor expansion of -1 in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.010 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.010 * [taylor]: Taking taylor expansion of 1.0 in x 3.010 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.010 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.010 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.010 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.010 * [taylor]: Taking taylor expansion of 1.0 in x 3.010 * [taylor]: Taking taylor expansion of 1.0 in x 3.010 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.010 * [taylor]: Taking taylor expansion of -1 in x 3.010 * [taylor]: Taking taylor expansion of x in x 3.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.010 * [taylor]: Taking taylor expansion of -1 in x 3.010 * [taylor]: Taking taylor expansion of x in x 3.034 * * * [progress]: simplifying candidates 3.036 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 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(* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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)) (+ 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)))))))) (pow (/ (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))))))) 3) (* (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)))))))) (pow (/ (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))))))) 3) (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)))) (/ (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)))) (/ (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))) (/ (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))) (/ (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 (/ (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 (/ (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 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) (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (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))))))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (+ (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3))) (- (fma 0.0625 (/ (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)))))) 3.127 * * * [progress]: adding candidates to table 3.501 * * [progress]: iteration 3 / 4 3.501 * * * [progress]: picking best candidate 3.517 * * * * [pick]: Picked # 3.517 * * * [progress]: localizing error 3.532 * * * [progress]: generating rewritten candidates 3.532 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.534 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.548 * * * [progress]: generating series expansions 3.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.549 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.549 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.549 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.549 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.549 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.549 * [taylor]: Taking taylor expansion of 0.5 in x 3.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.549 * [taylor]: Taking taylor expansion of 1.0 in x 3.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.550 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of (* x x) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.553 * [taylor]: Taking taylor expansion of 1.0 in x 3.553 * [taylor]: Taking taylor expansion of 1.0 in x 3.553 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.553 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.553 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.553 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.553 * [taylor]: Taking taylor expansion of 0.5 in x 3.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.553 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.553 * [taylor]: Taking taylor expansion of 1.0 in x 3.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.553 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.553 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.553 * [taylor]: Taking taylor expansion of 1.0 in x 3.553 * [taylor]: Taking taylor expansion of 1.0 in x 3.553 * [taylor]: Taking taylor expansion of (* x x) in x 3.553 * [taylor]: Taking taylor expansion of x in x 3.553 * [taylor]: Taking taylor expansion of x in x 3.556 * [taylor]: Taking taylor expansion of 1.0 in x 3.556 * [taylor]: Taking taylor expansion of 1.0 in x 3.647 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.647 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.648 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.648 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.648 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.648 * [taylor]: Taking taylor expansion of 0.5 in x 3.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of 1.0 in x 3.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.651 * [taylor]: Taking taylor expansion of 1.0 in x 3.651 * [taylor]: Taking taylor expansion of 1.0 in x 3.651 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.651 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.651 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.651 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.651 * [taylor]: Taking taylor expansion of 0.5 in x 3.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.651 * [taylor]: Taking taylor expansion of 1.0 in x 3.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.651 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.652 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.652 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.652 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.679 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.679 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.679 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.679 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.679 * [taylor]: Taking taylor expansion of 0.5 in x 3.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.679 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.679 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.679 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.679 * [taylor]: Taking taylor expansion of -1 in x 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.679 * [taylor]: Taking taylor expansion of -1 in x 3.679 * [taylor]: Taking taylor expansion of x in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.683 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.683 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.683 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.683 * [taylor]: Taking taylor expansion of 0.5 in x 3.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.683 * [taylor]: Taking taylor expansion of -1 in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.683 * [taylor]: Taking taylor expansion of -1 in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.687 * [taylor]: Taking taylor expansion of 1.0 in x 3.687 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.705 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.705 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.705 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.705 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.705 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.705 * [taylor]: Taking taylor expansion of 0.5 in x 3.705 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.706 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.706 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of (* x x) in x 3.706 * [taylor]: Taking taylor expansion of x in x 3.706 * [taylor]: Taking taylor expansion of x in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.709 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.709 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.709 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.709 * [taylor]: Taking taylor expansion of 0.5 in x 3.709 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.709 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.709 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.709 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.709 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.709 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of (* x x) in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.712 * [taylor]: Taking taylor expansion of 1.0 in x 3.712 * [taylor]: Taking taylor expansion of 1.0 in x 3.807 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.807 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.807 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.807 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.807 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.807 * [taylor]: Taking taylor expansion of 0.5 in x 3.807 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.807 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.807 * [taylor]: Taking taylor expansion of 1.0 in x 3.807 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.807 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.807 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.807 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.807 * [taylor]: Taking taylor expansion of 1.0 in x 3.807 * [taylor]: Taking taylor expansion of 1.0 in x 3.807 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.807 * [taylor]: Taking taylor expansion of x in x 3.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.808 * [taylor]: Taking taylor expansion of x in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.812 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.812 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.812 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.812 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.812 * [taylor]: Taking taylor expansion of 0.5 in x 3.812 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.812 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.812 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.812 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.812 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.812 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.812 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.812 * [taylor]: Taking taylor expansion of x in x 3.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.813 * [taylor]: Taking taylor expansion of x in x 3.816 * [taylor]: Taking taylor expansion of 1.0 in x 3.816 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.835 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.835 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.835 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.835 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.835 * [taylor]: Taking taylor expansion of 0.5 in x 3.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.835 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.835 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.835 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.835 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.835 * [taylor]: Taking taylor expansion of -1 in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.835 * [taylor]: Taking taylor expansion of -1 in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.839 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.839 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.839 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.839 * [taylor]: Taking taylor expansion of 0.5 in x 3.839 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.839 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.839 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.839 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.839 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.839 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.839 * [taylor]: Taking taylor expansion of -1 in x 3.839 * [taylor]: Taking taylor expansion of x in x 3.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.839 * [taylor]: Taking taylor expansion of -1 in x 3.839 * [taylor]: Taking taylor expansion of x in x 3.842 * [taylor]: Taking taylor expansion of 1.0 in x 3.843 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.866 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 3.866 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.866 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.866 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.866 * [taylor]: Taking taylor expansion of 0.5 in x 3.867 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.867 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.867 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.867 * [taylor]: Taking taylor expansion of 1.0 in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.867 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.867 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.867 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.867 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.867 * [taylor]: Taking taylor expansion of 1.0 in x 3.867 * [taylor]: Taking taylor expansion of 1.0 in x 3.868 * [taylor]: Taking taylor expansion of (* x x) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.870 * [taylor]: Taking taylor expansion of 1.0 in x 3.876 * [taylor]: Taking taylor expansion of 1.0 in x 3.876 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.876 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.876 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.876 * [taylor]: Taking taylor expansion of 0.5 in x 3.877 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.877 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.877 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.877 * [taylor]: Taking taylor expansion of 1.0 in x 3.877 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.877 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.877 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.877 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.877 * [taylor]: Taking taylor expansion of 1.0 in x 3.877 * [taylor]: Taking taylor expansion of 1.0 in x 3.877 * [taylor]: Taking taylor expansion of (* x x) in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.880 * [taylor]: Taking taylor expansion of 1.0 in x 3.888 * [taylor]: Taking taylor expansion of 1.0 in x 4.104 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 4.104 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.104 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.104 * [taylor]: Taking taylor expansion of 1.0 in x 4.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.104 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.105 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.105 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.105 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.105 * [taylor]: Taking taylor expansion of 1.0 in x 4.105 * [taylor]: Taking taylor expansion of 1.0 in x 4.105 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.105 * [taylor]: Taking taylor expansion of x in x 4.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.105 * [taylor]: Taking taylor expansion of x in x 4.108 * [taylor]: Taking taylor expansion of 1.0 in x 4.110 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.110 * [taylor]: Taking taylor expansion of 0.5 in x 4.111 * [taylor]: Taking taylor expansion of 1.0 in x 4.111 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.111 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.111 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.111 * [taylor]: Taking taylor expansion of 1.0 in x 4.111 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.111 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.111 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.111 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.111 * [taylor]: Taking taylor expansion of 1.0 in x 4.111 * [taylor]: Taking taylor expansion of 1.0 in x 4.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.112 * [taylor]: Taking taylor expansion of x in x 4.115 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.117 * [taylor]: Taking taylor expansion of 0.5 in x 4.118 * [taylor]: Taking taylor expansion of 1.0 in x 4.147 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 4.147 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.147 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.147 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.147 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.147 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.147 * [taylor]: Taking taylor expansion of 1.0 in x 4.147 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.147 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.147 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.147 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of 1.0 in x 4.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.148 * [taylor]: Taking taylor expansion of -1 in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.148 * [taylor]: Taking taylor expansion of -1 in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.151 * [taylor]: Taking taylor expansion of 1.0 in x 4.153 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.153 * [taylor]: Taking taylor expansion of 0.5 in x 4.154 * [taylor]: Taking taylor expansion of 1.0 in x 4.154 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.154 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.154 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.154 * [taylor]: Taking taylor expansion of 1.0 in x 4.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.154 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.154 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.154 * [taylor]: Taking taylor expansion of 1.0 in x 4.154 * [taylor]: Taking taylor expansion of 1.0 in x 4.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.154 * [taylor]: Taking taylor expansion of -1 in x 4.154 * [taylor]: Taking taylor expansion of x in x 4.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.154 * [taylor]: Taking taylor expansion of -1 in x 4.154 * [taylor]: Taking taylor expansion of x in x 4.158 * [taylor]: Taking taylor expansion of 1.0 in x 4.160 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.160 * [taylor]: Taking taylor expansion of 0.5 in x 4.160 * [taylor]: Taking taylor expansion of 1.0 in x 4.197 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.198 * [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 4.198 * [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 4.198 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.198 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.198 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.198 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.198 * [taylor]: Taking taylor expansion of 0.5 in x 4.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.198 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.198 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.198 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.198 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of (* x x) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of 1.0 in x 4.201 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.201 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.201 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.202 * [taylor]: Taking taylor expansion of 0.5 in x 4.202 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.202 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.202 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.202 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.202 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.202 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of (* x x) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.205 * [taylor]: Taking taylor expansion of 1.0 in x 4.211 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [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 4.231 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.231 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.231 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.231 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.231 * [taylor]: Taking taylor expansion of 0.5 in x 4.231 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.231 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.231 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.231 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.231 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.232 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.232 * [taylor]: Taking taylor expansion of 1.0 in x 4.232 * [taylor]: Taking taylor expansion of 1.0 in x 4.232 * [taylor]: Taking taylor expansion of (* x x) in x 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [taylor]: Taking taylor expansion of x in x 4.235 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.235 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.235 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.235 * [taylor]: Taking taylor expansion of 0.5 in x 4.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.235 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.235 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.235 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.236 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [taylor]: Taking taylor expansion of (* x x) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.244 * [taylor]: Taking taylor expansion of 1.0 in x 5.105 * [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 5.106 * [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 5.106 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.106 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.106 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.106 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.106 * [taylor]: Taking taylor expansion of 0.5 in x 5.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.106 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.106 * [taylor]: Taking taylor expansion of 1.0 in x 5.106 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.106 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.106 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.106 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.106 * [taylor]: Taking taylor expansion of 1.0 in x 5.106 * [taylor]: Taking taylor expansion of 1.0 in x 5.106 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.106 * [taylor]: Taking taylor expansion of x in x 5.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.106 * [taylor]: Taking taylor expansion of x in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.110 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.110 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.110 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.110 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.110 * [taylor]: Taking taylor expansion of x in x 5.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.110 * [taylor]: Taking taylor expansion of x in x 5.113 * [taylor]: Taking taylor expansion of 1.0 in x 5.116 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.116 * [taylor]: Taking taylor expansion of 0.5 in x 5.116 * [taylor]: Taking taylor expansion of 1.0 in x 5.122 * [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 5.122 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.122 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.122 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.122 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.122 * [taylor]: Taking taylor expansion of 0.5 in x 5.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.122 * [taylor]: Taking taylor expansion of 1.0 in x 5.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.123 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.123 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.123 * [taylor]: Taking taylor expansion of 1.0 in x 5.123 * [taylor]: Taking taylor expansion of 1.0 in x 5.123 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.123 * [taylor]: Taking taylor expansion of x in x 5.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.123 * [taylor]: Taking taylor expansion of x in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.126 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.126 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.126 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.126 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.126 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.126 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.126 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.126 * [taylor]: Taking taylor expansion of x in x 5.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.127 * [taylor]: Taking taylor expansion of x in x 5.130 * [taylor]: Taking taylor expansion of 1.0 in x 5.132 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.132 * [taylor]: Taking taylor expansion of 0.5 in x 5.133 * [taylor]: Taking taylor expansion of 1.0 in x 5.281 * [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 5.282 * [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 5.282 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.282 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.282 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.282 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.282 * [taylor]: Taking taylor expansion of 0.5 in x 5.282 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.282 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.282 * [taylor]: Taking taylor expansion of 1.0 in x 5.282 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.282 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.282 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.282 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.282 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.282 * [taylor]: Taking taylor expansion of 1.0 in x 5.282 * [taylor]: Taking taylor expansion of 1.0 in x 5.282 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.282 * [taylor]: Taking taylor expansion of -1 in x 5.282 * [taylor]: Taking taylor expansion of x in x 5.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.282 * [taylor]: Taking taylor expansion of -1 in x 5.282 * [taylor]: Taking taylor expansion of x in x 5.286 * [taylor]: Taking taylor expansion of 1.0 in x 5.286 * [taylor]: Taking taylor expansion of 1.0 in x 5.286 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.286 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.286 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.286 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.286 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.286 * [taylor]: Taking taylor expansion of 1.0 in x 5.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.286 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.286 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.286 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.286 * [taylor]: Taking taylor expansion of 1.0 in x 5.286 * [taylor]: Taking taylor expansion of 1.0 in x 5.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.286 * [taylor]: Taking taylor expansion of -1 in x 5.286 * [taylor]: Taking taylor expansion of x in x 5.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.286 * [taylor]: Taking taylor expansion of -1 in x 5.286 * [taylor]: Taking taylor expansion of x in x 5.289 * [taylor]: Taking taylor expansion of 1.0 in x 5.291 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.291 * [taylor]: Taking taylor expansion of 0.5 in x 5.292 * [taylor]: Taking taylor expansion of 1.0 in x 5.297 * [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 5.297 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.298 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.298 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.298 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.298 * [taylor]: Taking taylor expansion of 0.5 in x 5.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.298 * [taylor]: Taking taylor expansion of 1.0 in x 5.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.298 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.298 * [taylor]: Taking taylor expansion of 1.0 in x 5.298 * [taylor]: Taking taylor expansion of 1.0 in x 5.298 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.298 * [taylor]: Taking taylor expansion of -1 in x 5.298 * [taylor]: Taking taylor expansion of x in x 5.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.298 * [taylor]: Taking taylor expansion of -1 in x 5.298 * [taylor]: Taking taylor expansion of x in x 5.302 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.302 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.302 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.302 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.302 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.302 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.302 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.302 * [taylor]: Taking taylor expansion of -1 in x 5.302 * [taylor]: Taking taylor expansion of x in x 5.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.302 * [taylor]: Taking taylor expansion of -1 in x 5.302 * [taylor]: Taking taylor expansion of x in x 5.306 * [taylor]: Taking taylor expansion of 1.0 in x 5.308 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.308 * [taylor]: Taking taylor expansion of 0.5 in x 5.309 * [taylor]: Taking taylor expansion of 1.0 in x 5.454 * * * [progress]: simplifying candidates 5.457 * [simplify]: Simplifying using # : (expm1 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ (log (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)))))))) (log1p (/ (log (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)))))))) (- (log (log (exp (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 (/ (log (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)))))))) (exp (/ (log (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)))))))) (/ (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (+ 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 (/ (log (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)))))))) (cbrt (/ (log (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))))))))) (cbrt (/ (log (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)))))))) (* (* (/ (log (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))))))) (/ (log (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)))))))) (/ (log (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)))))))) (sqrt (/ (log (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)))))))) (sqrt (/ (log (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)))))))) (- (log (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))))))) (/ 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))))))))) (/ (log (exp (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)))))))) (/ (log (exp (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) (/ (log (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))))))) (/ 1 1) (/ (log (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))))))) (/ (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))))))))) (/ (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (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))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (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))) 1) (/ (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (+ 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) (/ (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (+ 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))))))))) (/ (log (exp (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)))))))) (/ (log (exp (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) (/ (log (exp (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) (/ (log (exp (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)) (* (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))))))))) (/ (log (exp 1)) (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)))))))) (/ (log 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(* 1.0 1.0))) (/ (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))) (/ (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))))) (/ (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))) (/ (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)) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (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)) (* (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 (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)))))))) (/ 1 (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))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (/ 1 (+ 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 (+ 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))) (/ (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))) (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)))) (/ (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)))))) 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (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)) (/ (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))) (/ (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)) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1)) (/ 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 (/ (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 (/ (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 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)))))) (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)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (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)))))) (/ (+ 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 (log (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)) (* (+ (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 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (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))))))) 5.550 * * * [progress]: adding candidates to table 5.942 * * [progress]: iteration 4 / 4 5.942 * * * [progress]: picking best candidate 5.951 * * * * [pick]: Picked # 5.951 * * * [progress]: localizing error 5.975 * * * [progress]: generating rewritten candidates 5.975 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 2 2) 5.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.987 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.989 * * * [progress]: generating series expansions 5.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.990 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 5.990 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.990 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.990 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.990 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.990 * [taylor]: Taking taylor expansion of 0.5 in x 5.990 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.990 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.991 * [taylor]: Taking taylor expansion of 1.0 in x 5.991 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.991 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.991 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.991 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.991 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.991 * [taylor]: Taking taylor expansion of 1.0 in x 5.991 * [taylor]: Taking taylor expansion of 1.0 in x 5.991 * [taylor]: Taking taylor expansion of (* x x) in x 5.991 * [taylor]: Taking taylor expansion of x in x 5.991 * [taylor]: Taking taylor expansion of x in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.994 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.994 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.994 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.994 * [taylor]: Taking taylor expansion of 0.5 in x 5.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.994 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.994 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.994 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of (* x x) in x 5.994 * [taylor]: Taking taylor expansion of x in x 5.994 * [taylor]: Taking taylor expansion of x in x 5.997 * [taylor]: Taking taylor expansion of 1.0 in x 5.997 * [taylor]: Taking taylor expansion of 1.0 in x 6.096 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.096 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.097 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.097 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.097 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.097 * [taylor]: Taking taylor expansion of 0.5 in x 6.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.097 * [taylor]: Taking taylor expansion of 1.0 in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.097 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.097 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.097 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.097 * [taylor]: Taking taylor expansion of 1.0 in x 6.097 * [taylor]: Taking taylor expansion of 1.0 in x 6.097 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.100 * [taylor]: Taking taylor expansion of 1.0 in x 6.100 * [taylor]: Taking taylor expansion of 1.0 in x 6.100 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.100 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.100 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.100 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.100 * [taylor]: Taking taylor expansion of 0.5 in x 6.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.101 * [taylor]: Taking taylor expansion of 1.0 in x 6.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.101 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.101 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.101 * [taylor]: Taking taylor expansion of 1.0 in x 6.101 * [taylor]: Taking taylor expansion of 1.0 in x 6.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.101 * [taylor]: Taking taylor expansion of x in x 6.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.101 * [taylor]: Taking taylor expansion of x in x 6.104 * [taylor]: Taking taylor expansion of 1.0 in x 6.104 * [taylor]: Taking taylor expansion of 1.0 in x 6.122 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.122 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.122 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.122 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.122 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.123 * [taylor]: Taking taylor expansion of 0.5 in x 6.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.123 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.123 * [taylor]: Taking taylor expansion of 1.0 in x 6.123 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.123 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.123 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.123 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.123 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.123 * [taylor]: Taking taylor expansion of 1.0 in x 6.123 * [taylor]: Taking taylor expansion of 1.0 in x 6.123 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.123 * [taylor]: Taking taylor expansion of -1 in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.123 * [taylor]: Taking taylor expansion of -1 in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.126 * [taylor]: Taking taylor expansion of 1.0 in x 6.126 * [taylor]: Taking taylor expansion of 1.0 in x 6.126 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.126 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.126 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.126 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.126 * [taylor]: Taking taylor expansion of 0.5 in x 6.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.127 * [taylor]: Taking taylor expansion of 1.0 in x 6.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.127 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.127 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.127 * [taylor]: Taking taylor expansion of 1.0 in x 6.127 * [taylor]: Taking taylor expansion of 1.0 in x 6.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.127 * [taylor]: Taking taylor expansion of -1 in x 6.127 * [taylor]: Taking taylor expansion of x in x 6.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.127 * [taylor]: Taking taylor expansion of -1 in x 6.127 * [taylor]: Taking taylor expansion of x in x 6.130 * [taylor]: Taking taylor expansion of 1.0 in x 6.130 * [taylor]: Taking taylor expansion of 1.0 in x 6.148 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 2 2) 6.149 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) in (x) around 0 6.149 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) in x 6.149 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.149 * [taylor]: Taking taylor expansion of 0.5 in x 6.150 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 1.0) 3)) in x 6.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.150 * [taylor]: Taking taylor expansion of x in x 6.150 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.150 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.150 * [taylor]: Taking taylor expansion of 1.0 in x 6.155 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) in x 6.155 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.155 * [taylor]: Taking taylor expansion of 0.5 in x 6.156 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 1.0) 3)) in x 6.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.156 * [taylor]: Taking taylor expansion of x in x 6.156 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.156 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.156 * [taylor]: Taking taylor expansion of 1.0 in x 6.201 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in (x) around 0 6.201 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.201 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.201 * [taylor]: Taking taylor expansion of x in x 6.201 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.201 * [taylor]: Taking taylor expansion of 0.5 in x 6.202 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.202 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.207 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.207 * [taylor]: Taking taylor expansion of x in x 6.207 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.207 * [taylor]: Taking taylor expansion of 0.5 in x 6.208 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.208 * [taylor]: Taking taylor expansion of 1.0 in x 6.244 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in (x) around 0 6.245 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.245 * [taylor]: Taking taylor expansion of x in x 6.245 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.245 * [taylor]: Taking taylor expansion of 0.5 in x 6.245 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.245 * [taylor]: Taking taylor expansion of 1.0 in x 6.250 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.250 * [taylor]: Taking taylor expansion of x in x 6.250 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.250 * [taylor]: Taking taylor expansion of 0.5 in x 6.251 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.251 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.251 * [taylor]: Taking taylor expansion of 1.0 in x 6.295 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.295 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (* x (sqrt 1.0))) in (x) around 0 6.295 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* x (sqrt 1.0))) in x 6.295 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.295 * [taylor]: Taking taylor expansion of 0.5 in x 6.296 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 6.296 * [taylor]: Taking taylor expansion of x in x 6.296 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.296 * [taylor]: Taking taylor expansion of 1.0 in x 6.299 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* x (sqrt 1.0))) in x 6.299 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.299 * [taylor]: Taking taylor expansion of 0.5 in x 6.300 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 6.300 * [taylor]: Taking taylor expansion of x in x 6.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.300 * [taylor]: Taking taylor expansion of 1.0 in x 6.322 * [approximate]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in (x) around 0 6.322 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.322 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.322 * [taylor]: Taking taylor expansion of x in x 6.322 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.322 * [taylor]: Taking taylor expansion of 0.5 in x 6.323 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.323 * [taylor]: Taking taylor expansion of 1.0 in x 6.326 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.326 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.326 * [taylor]: Taking taylor expansion of x in x 6.326 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.326 * [taylor]: Taking taylor expansion of 0.5 in x 6.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.326 * [taylor]: Taking taylor expansion of 1.0 in x 6.355 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in (x) around 0 6.355 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.355 * [taylor]: Taking taylor expansion of -1 in x 6.355 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.355 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.356 * [taylor]: Taking taylor expansion of 0.5 in x 6.356 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.356 * [taylor]: Taking taylor expansion of 1.0 in x 6.360 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.360 * [taylor]: Taking taylor expansion of -1 in x 6.360 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.360 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.360 * [taylor]: Taking taylor expansion of x in x 6.360 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.360 * [taylor]: Taking taylor expansion of 0.5 in x 6.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.361 * [taylor]: Taking taylor expansion of 1.0 in x 6.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.392 * [approximate]: Taking taylor expansion of (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) in (x) around 0 6.392 * [taylor]: Taking taylor expansion of (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) in x 6.392 * [taylor]: Rewrote expression to (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) 6.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) in x 6.392 * [taylor]: Taking taylor expansion of 0.5 in x 6.393 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* x (sqrt 1.0))) in x 6.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.393 * [taylor]: Taking taylor expansion of 0.5 in x 6.393 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 6.393 * [taylor]: Taking taylor expansion of x in x 6.393 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.393 * [taylor]: Taking taylor expansion of 1.0 in x 6.396 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) in x 6.396 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.396 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.397 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.397 * [taylor]: Taking taylor expansion of 1.0 in x 6.397 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.397 * [taylor]: Taking taylor expansion of 0.5 in x 6.398 * [taylor]: Taking taylor expansion of 1.0 in x 6.398 * [taylor]: Taking taylor expansion of (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) in x 6.398 * [taylor]: Taking taylor expansion of 0.125 in x 6.398 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) in x 6.398 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.398 * [taylor]: Taking taylor expansion of 0.5 in x 6.399 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 1.0) 3)) in x 6.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.399 * [taylor]: Taking taylor expansion of x in x 6.399 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.399 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.399 * [taylor]: Taking taylor expansion of 1.0 in x 6.404 * [taylor]: Taking taylor expansion of (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) in x 6.404 * [taylor]: Rewrote expression to (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) 6.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) in x 6.404 * [taylor]: Taking taylor expansion of 0.5 in x 6.404 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* x (sqrt 1.0))) in x 6.404 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.404 * [taylor]: Taking taylor expansion of 0.5 in x 6.405 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 6.405 * [taylor]: Taking taylor expansion of x in x 6.405 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.405 * [taylor]: Taking taylor expansion of 1.0 in x 6.408 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) in x 6.408 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.409 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.409 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.409 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.409 * [taylor]: Taking taylor expansion of 1.0 in x 6.409 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.409 * [taylor]: Taking taylor expansion of 0.5 in x 6.410 * [taylor]: Taking taylor expansion of 1.0 in x 6.410 * [taylor]: Taking taylor expansion of (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) in x 6.410 * [taylor]: Taking taylor expansion of 0.125 in x 6.410 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) in x 6.410 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.410 * [taylor]: Taking taylor expansion of 0.5 in x 6.411 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 1.0) 3)) in x 6.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.411 * [taylor]: Taking taylor expansion of x in x 6.411 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.411 * [taylor]: Taking taylor expansion of 1.0 in x 6.469 * [approximate]: Taking taylor expansion of (fma 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0)) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in (x) around 0 6.469 * [taylor]: Taking taylor expansion of (fma 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0)) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in x 6.469 * [taylor]: Rewrote expression to (+ (* 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) 6.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.469 * [taylor]: Taking taylor expansion of 0.5 in x 6.469 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.469 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.469 * [taylor]: Taking taylor expansion of x in x 6.469 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.469 * [taylor]: Taking taylor expansion of 0.5 in x 6.470 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.470 * [taylor]: Taking taylor expansion of 1.0 in x 6.473 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) in x 6.473 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.473 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.473 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.473 * [taylor]: Taking taylor expansion of 1.0 in x 6.473 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.474 * [taylor]: Taking taylor expansion of 0.5 in x 6.474 * [taylor]: Taking taylor expansion of 1.0 in x 6.474 * [taylor]: Taking taylor expansion of (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) in x 6.474 * [taylor]: Taking taylor expansion of 0.125 in x 6.474 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.474 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.474 * [taylor]: Taking taylor expansion of x in x 6.474 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.474 * [taylor]: Taking taylor expansion of 0.5 in x 6.475 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.475 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.475 * [taylor]: Taking taylor expansion of 1.0 in x 6.480 * [taylor]: Taking taylor expansion of (fma 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0)) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in x 6.480 * [taylor]: Rewrote expression to (+ (* 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) 6.480 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.480 * [taylor]: Taking taylor expansion of 0.5 in x 6.480 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.480 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.480 * [taylor]: Taking taylor expansion of x in x 6.480 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.480 * [taylor]: Taking taylor expansion of 0.5 in x 6.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.481 * [taylor]: Taking taylor expansion of 1.0 in x 6.484 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) in x 6.484 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.484 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.484 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.484 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.484 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.485 * [taylor]: Taking taylor expansion of 0.5 in x 6.485 * [taylor]: Taking taylor expansion of 1.0 in x 6.485 * [taylor]: Taking taylor expansion of (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) in x 6.485 * [taylor]: Taking taylor expansion of 0.125 in x 6.485 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.485 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.486 * [taylor]: Taking taylor expansion of x in x 6.486 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.486 * [taylor]: Taking taylor expansion of 0.5 in x 6.486 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.486 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.486 * [taylor]: Taking taylor expansion of 1.0 in x 6.539 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in (x) around 0 6.539 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in x 6.539 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0)))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) 6.539 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0)))) in x 6.539 * [taylor]: Taking taylor expansion of 0.5 in x 6.539 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.539 * [taylor]: Taking taylor expansion of -1 in x 6.539 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.539 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.539 * [taylor]: Taking taylor expansion of x in x 6.539 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.539 * [taylor]: Taking taylor expansion of 0.5 in x 6.540 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.540 * [taylor]: Taking taylor expansion of 1.0 in x 6.543 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) in x 6.543 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.543 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.543 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.543 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.544 * [taylor]: Taking taylor expansion of 1.0 in x 6.544 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.544 * [taylor]: Taking taylor expansion of 0.5 in x 6.545 * [taylor]: Taking taylor expansion of 1.0 in x 6.545 * [taylor]: Taking taylor expansion of (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) in x 6.545 * [taylor]: Taking taylor expansion of 0.125 in x 6.545 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.545 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.545 * [taylor]: Taking taylor expansion of x in x 6.545 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.545 * [taylor]: Taking taylor expansion of 0.5 in x 6.546 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.546 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.546 * [taylor]: Taking taylor expansion of 1.0 in x 6.551 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) in x 6.551 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0)))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))))) 6.551 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0)))) in x 6.551 * [taylor]: Taking taylor expansion of 0.5 in x 6.551 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (sqrt 0.5)) (sqrt 1.0))) in x 6.551 * [taylor]: Taking taylor expansion of -1 in x 6.551 * [taylor]: Taking taylor expansion of (/ (* x (sqrt 0.5)) (sqrt 1.0)) in x 6.551 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 6.551 * [taylor]: Taking taylor expansion of x in x 6.551 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.551 * [taylor]: Taking taylor expansion of 0.5 in x 6.552 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.552 * [taylor]: Taking taylor expansion of 1.0 in x 6.555 * [taylor]: Taking taylor expansion of (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)))) in x 6.555 * [taylor]: Taking taylor expansion of (fma (sqrt 1.0) (sqrt 0.5) 1.0) in x 6.555 * [taylor]: Rewrote expression to (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 6.555 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in x 6.555 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.555 * [taylor]: Taking taylor expansion of 1.0 in x 6.556 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.556 * [taylor]: Taking taylor expansion of 0.5 in x 6.556 * [taylor]: Taking taylor expansion of 1.0 in x 6.557 * [taylor]: Taking taylor expansion of (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) in x 6.557 * [taylor]: Taking taylor expansion of 0.125 in x 6.557 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) in x 6.557 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 0.5)) in x 6.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.557 * [taylor]: Taking taylor expansion of x in x 6.557 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.557 * [taylor]: Taking taylor expansion of 0.5 in x 6.557 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 6.557 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 6.557 * [taylor]: Taking taylor expansion of 1.0 in x 6.611 * * * [progress]: simplifying candidates 6.612 * [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 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log1p (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (log (pow (sqrt 1.0) 3)))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (* (log x) 2) (log (pow (sqrt 1.0) 3)))) (- (log (sqrt 0.5)) (+ (log (pow x 2)) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (log (pow x 2)) (* (log (sqrt 1.0)) 3))) (- (log (sqrt 0.5)) (+ (log (pow x 2)) (log (pow (sqrt 1.0) 3)))) (- (log (sqrt 0.5)) (log (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (exp (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3)) (pow (sqrt 1.0) 3)))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* (pow x 2) (pow (sqrt 1.0) 3)) (* (pow x 2) (pow (sqrt 1.0) 3))) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (- (sqrt 0.5)) (- (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (pow x 2)) (/ (cbrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (pow x 2)) (/ (sqrt (cbrt 0.5)) (pow (sqrt 1.0) 3)) (/ (sqrt (sqrt 0.5)) (pow x 2)) (/ (sqrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ (sqrt 1) (pow x 2)) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)) (/ (sqrt (sqrt 0.5)) (pow x 2)) (/ (sqrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ 1 (pow x 2)) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)) (/ 1 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (/ (sqrt 0.5) (pow x 2)) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (cbrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (cbrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (expm1 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log1p (/ (sqrt 0.5) (* x (sqrt 1.0)))) (- (log (sqrt 0.5)) (+ (log x) (log (sqrt 1.0)))) (- (log (sqrt 0.5)) (log (* x (sqrt 1.0)))) (log (/ (sqrt 0.5) (* x (sqrt 1.0)))) (exp (/ (sqrt 0.5) (* x (sqrt 1.0)))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* x x) x) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* x (sqrt 1.0)) (* x (sqrt 1.0))) (* x (sqrt 1.0)))) (* (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0))))) (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (/ (sqrt 0.5) (* x (sqrt 1.0)))) (/ (sqrt 0.5) (* x (sqrt 1.0)))) (sqrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (sqrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (- (sqrt 0.5)) (- (* x (sqrt 1.0))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) x) (/ (cbrt (sqrt 0.5)) (sqrt 1.0)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) x) (/ (sqrt (cbrt 0.5)) (sqrt 1.0)) (/ (sqrt (sqrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (sqrt 1.0)) (/ (sqrt 1) x) (/ (sqrt 0.5) (sqrt 1.0)) (/ (sqrt (sqrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (sqrt 1.0)) (/ 1 x) (/ (sqrt 0.5) (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (/ (sqrt 0.5) x) (/ (* x (sqrt 1.0)) (cbrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt (cbrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (/ (* x (sqrt 1.0)) (sqrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (expm1 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (log1p (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (exp (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (* (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))))) (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (* (* (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (sqrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (sqrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (- (+ (* 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)))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) 6.618 * * [simplify]: iteration 0 : 388 enodes (cost 872 ) 6.625 * * [simplify]: iteration 1 : 1622 enodes (cost 777 ) 6.654 * * [simplify]: iteration 2 : 5001 enodes (cost 777 ) 6.658 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log1p (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (log (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (exp (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (pow (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 3) (pow (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 3) (* (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (cbrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (pow (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) 3) (sqrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (- (sqrt 0.5)) (- (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (pow x 2)) (/ (cbrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ (/ (fabs (cbrt 0.5)) x) x) (/ (sqrt (cbrt 0.5)) (pow (sqrt 1.0) 3)) (/ (sqrt (sqrt 0.5)) (pow x 2)) (/ (sqrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ (sqrt 1) (pow x 2)) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)) (/ (sqrt (sqrt 0.5)) (pow x 2)) (/ (sqrt (sqrt 0.5)) (pow (sqrt 1.0) 3)) (/ 1 (pow x 2)) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)) (/ 1 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (/ (sqrt 0.5) (pow x 2)) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (cbrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (cbrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (sqrt 0.5))) (/ (* (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 0.5)) (expm1 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log1p (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log (/ (sqrt 0.5) (* x (sqrt 1.0)))) (exp (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ (sqrt 0.5) (* x (sqrt 1.0))) 3) (pow (/ (sqrt 0.5) (* x (sqrt 1.0))) 3) (* (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0))))) (cbrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ (sqrt 0.5) (* x (sqrt 1.0))) 3) (sqrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (sqrt (/ (sqrt 0.5) (* x (sqrt 1.0)))) (- (sqrt 0.5)) (- (* x (sqrt 1.0))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) x) (/ (cbrt (sqrt 0.5)) (sqrt 1.0)) (/ (fabs (cbrt 0.5)) x) (/ (sqrt (cbrt 0.5)) (sqrt 1.0)) (/ (sqrt (sqrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (sqrt 1.0)) (/ (sqrt 1) x) (/ (sqrt 0.5) (sqrt 1.0)) (/ (sqrt (sqrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (sqrt 1.0)) (/ 1 x) (/ (sqrt 0.5) (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (/ (sqrt 0.5) x) (/ (* x (sqrt 1.0)) (cbrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt (cbrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (/ (* x (sqrt 1.0)) (sqrt (sqrt 0.5))) (/ (* x (sqrt 1.0)) (sqrt 0.5)) (expm1 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (log1p (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (log (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (exp (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (* (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))))) (cbrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (pow (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) 3) (sqrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (sqrt (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))))) (fma 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)) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (/ (sqrt 0.5) (* x (sqrt 1.0))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) 6.658 * * * [progress]: adding candidates to table 7.062 * [progress]: [Phase 3 of 3] Extracting. 7.062 * * [regime]: Finding splitpoints for: (# # #) 7.063 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 7.063 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 7.088 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 7.117 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 7.141 * * * * [regimes]: Trying to branch on x from (# # #) 7.174 * * * [regime]: Found split indices: #