25.575 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.043 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.044 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.046 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.047 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.048 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.050 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.051 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.051 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 0.069 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.078 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.078 * [taylor]: Taking taylor expansion of 0.5 in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.079 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* x x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.089 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.340 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.440 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* x x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.443 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (* x x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.510 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.510 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 0.543 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (* x x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (* x x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.565 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.580 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.581 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.599 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.599 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.599 * [taylor]: Taking taylor expansion of 0.5 in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.600 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.600 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.600 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.600 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (* x x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.615 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.615 * [taylor]: Taking taylor expansion of 0.5 in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.616 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (* x x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.797 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.797 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.797 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.797 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.803 * [taylor]: Taking taylor expansion of 0.5 in x 0.803 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.809 * [taylor]: Taking taylor expansion of 0.5 in x 0.832 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.832 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.832 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.837 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.838 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.844 * [taylor]: Taking taylor expansion of 0.5 in x 0.873 * * * [progress]: simplifying candidates 0.875 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (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)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* (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)))))) 0.883 * * [simplify]: iteration 0 : 533 enodes (cost 1074 ) 0.892 * * [simplify]: iteration 1 : 2023 enodes (cost 830 ) 0.927 * * [simplify]: iteration 2 : 5002 enodes (cost 827 ) 0.932 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (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)))))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (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))))))) 0.932 * * * [progress]: adding candidates to table 1.151 * * [progress]: iteration 2 / 4 1.151 * * * [progress]: picking best candidate 1.163 * * * * [pick]: Picked # 1.163 * * * [progress]: localizing error 1.175 * * * [progress]: generating rewritten candidates 1.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.186 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.191 * * * [progress]: generating series expansions 1.191 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.191 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.192 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.192 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.192 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.192 * [taylor]: Taking taylor expansion of 0.5 in x 1.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.192 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.192 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (* x x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.195 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.195 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.195 * [taylor]: Taking taylor expansion of 0.5 in x 1.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.195 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.195 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (* x x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.290 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.290 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.290 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.290 * [taylor]: Taking taylor expansion of 0.5 in x 1.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.294 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.294 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.316 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.316 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.316 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.316 * [taylor]: Taking taylor expansion of 0.5 in x 1.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.316 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.316 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.319 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.319 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.320 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.320 * [taylor]: Taking taylor expansion of 0.5 in x 1.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.320 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.320 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.341 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.341 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.341 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.341 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.341 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.342 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (* x x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.357 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.357 * [taylor]: Taking taylor expansion of 0.5 in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.358 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.358 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.358 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (* x x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [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 1.575 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.575 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.575 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.581 * [taylor]: Taking taylor expansion of 0.5 in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.581 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.582 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of (* 1.0 1.0) 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 (* (/ 1 x) (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.588 * [taylor]: Taking taylor expansion of 0.5 in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [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 1.625 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.625 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.625 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.625 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.631 * [taylor]: Taking taylor expansion of 0.5 in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.631 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.632 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.632 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.632 * [taylor]: Taking taylor expansion of -1 in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.632 * [taylor]: Taking taylor expansion of -1 in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.637 * [taylor]: Taking taylor expansion of 0.5 in x 1.638 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.667 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.667 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.667 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (* x x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.671 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of (* x x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.717 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.717 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.744 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.744 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.744 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.748 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.777 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.777 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.777 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.777 * [taylor]: Taking taylor expansion of 1.0 in x 1.777 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.778 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.778 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * [taylor]: Taking taylor expansion of (* x x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (* x x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.820 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.820 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.821 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.821 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.825 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.847 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.848 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.848 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.851 * [taylor]: Taking taylor expansion of 1.0 in x 1.851 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.851 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.851 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.851 * [taylor]: Taking taylor expansion of 1.0 in x 1.852 * [taylor]: Taking taylor expansion of 1.0 in x 1.852 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.852 * [taylor]: Taking taylor expansion of -1 in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.858 * [taylor]: Taking taylor expansion of -1 in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.881 * * * [progress]: simplifying candidates 1.882 * [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 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 1.889 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.897 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.925 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.929 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 1.929 * * * [progress]: adding candidates to table 2.225 * * [progress]: iteration 3 / 4 2.225 * * * [progress]: picking best candidate 2.244 * * * * [pick]: Picked # 2.244 * * * [progress]: localizing error 2.261 * * * [progress]: generating rewritten candidates 2.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.272 * * * [progress]: generating series expansions 2.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.273 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.273 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.273 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.273 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.273 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.273 * [taylor]: Taking taylor expansion of 0.5 in x 2.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.273 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (* x x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.276 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.277 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.277 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.277 * [taylor]: Taking taylor expansion of 0.5 in x 2.277 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.277 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.277 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.277 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.277 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.277 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of (* x x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.280 * [taylor]: Taking taylor expansion of 1.0 in x 2.280 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.371 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.371 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.371 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.371 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.371 * [taylor]: Taking taylor expansion of 0.5 in x 2.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.371 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.371 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.375 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.375 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.375 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.375 * [taylor]: Taking taylor expansion of 0.5 in x 2.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.375 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.375 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.404 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.404 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.404 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.404 * [taylor]: Taking taylor expansion of 0.5 in x 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.404 * [taylor]: Taking taylor expansion of -1 in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.405 * [taylor]: Taking taylor expansion of -1 in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.408 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.408 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.408 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.408 * [taylor]: Taking taylor expansion of 0.5 in x 2.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.408 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.408 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.408 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.408 * [taylor]: Taking taylor expansion of -1 in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.409 * [taylor]: Taking taylor expansion of -1 in x 2.409 * [taylor]: Taking taylor expansion of x in x 2.412 * [taylor]: Taking taylor expansion of 1.0 in x 2.412 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.430 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 2.430 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.430 * [taylor]: Taking taylor expansion of 1/3 in x 2.430 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.430 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.430 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.430 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.430 * [taylor]: Taking taylor expansion of 0.5 in x 2.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.431 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.431 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.431 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (* x x) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.434 * [taylor]: Taking taylor expansion of 1.0 in x 2.439 * [taylor]: Taking taylor expansion of 1.0 in x 2.462 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 2.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.462 * [taylor]: Taking taylor expansion of 1/3 in x 2.462 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.462 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.462 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.462 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.462 * [taylor]: Taking taylor expansion of 0.5 in x 2.463 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.463 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.463 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (* x x) in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 3.235 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.235 * [taylor]: Taking taylor expansion of 1/3 in x 3.235 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.235 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.235 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.235 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.235 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.235 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.235 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.235 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.236 * [taylor]: Taking taylor expansion of x in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.241 * [taylor]: Taking taylor expansion of 0.5 in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.251 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.251 * [taylor]: Taking taylor expansion of 1/3 in x 3.251 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.251 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.251 * [taylor]: Taking taylor expansion of 1.0 in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.251 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.252 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.252 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.252 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.255 * [taylor]: Taking taylor expansion of 1.0 in x 3.257 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.257 * [taylor]: Taking taylor expansion of 0.5 in x 3.258 * [taylor]: Taking taylor expansion of 1.0 in x 3.467 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 3.467 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.467 * [taylor]: Taking taylor expansion of 1/3 in x 3.467 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.467 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.467 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.467 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.467 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.467 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.468 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of 1.0 in x 3.468 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.468 * [taylor]: Taking taylor expansion of -1 in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.476 * [taylor]: Taking taylor expansion of -1 in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.480 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.482 * [taylor]: Taking taylor expansion of 0.5 in x 3.483 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.492 * [taylor]: Taking taylor expansion of 1/3 in x 3.492 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.492 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.492 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.492 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.493 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.493 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.493 * [taylor]: Taking taylor expansion of 1.0 in x 3.493 * [taylor]: Taking taylor expansion of 1.0 in x 3.493 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.493 * [taylor]: Taking taylor expansion of -1 in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.493 * [taylor]: Taking taylor expansion of -1 in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.496 * [taylor]: Taking taylor expansion of 1.0 in x 3.498 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.498 * [taylor]: Taking taylor expansion of 0.5 in x 3.499 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.706 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 3.706 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.706 * [taylor]: Taking taylor expansion of 1/3 in x 3.706 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.706 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.706 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.706 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.706 * [taylor]: Taking taylor expansion of 0.5 in x 3.707 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.707 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.707 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.707 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.707 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.707 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.707 * [taylor]: Taking taylor expansion of 1.0 in x 3.707 * [taylor]: Taking taylor expansion of (* x x) in x 3.707 * [taylor]: Taking taylor expansion of x in x 3.707 * [taylor]: Taking taylor expansion of x in x 3.710 * [taylor]: Taking taylor expansion of 1.0 in x 3.716 * [taylor]: Taking taylor expansion of 1.0 in x 3.747 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.747 * [taylor]: Taking taylor expansion of 1/3 in x 3.747 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.747 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.747 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.747 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.747 * [taylor]: Taking taylor expansion of 0.5 in x 3.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.748 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.748 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [taylor]: Taking taylor expansion of (* x x) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.749 * [taylor]: Taking taylor expansion of x in x 3.752 * [taylor]: Taking taylor expansion of 1.0 in x 3.758 * [taylor]: Taking taylor expansion of 1.0 in x 4.522 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.522 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.523 * [taylor]: Taking taylor expansion of 1/3 in x 4.523 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.523 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.523 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.523 * [taylor]: Taking taylor expansion of 1.0 in x 4.523 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.523 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.523 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.523 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.523 * [taylor]: Taking taylor expansion of 1.0 in x 4.523 * [taylor]: Taking taylor expansion of 1.0 in x 4.523 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.523 * [taylor]: Taking taylor expansion of x in x 4.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.523 * [taylor]: Taking taylor expansion of x in x 4.526 * [taylor]: Taking taylor expansion of 1.0 in x 4.528 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.529 * [taylor]: Taking taylor expansion of 0.5 in x 4.529 * [taylor]: Taking taylor expansion of 1.0 in x 4.539 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.539 * [taylor]: Taking taylor expansion of 1/3 in x 4.539 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.539 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.539 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.539 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.539 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.539 * [taylor]: Taking taylor expansion of 1.0 in x 4.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.539 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.540 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.540 * [taylor]: Taking taylor expansion of x in x 4.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.540 * [taylor]: Taking taylor expansion of x in x 4.543 * [taylor]: Taking taylor expansion of 1.0 in x 4.545 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.545 * [taylor]: Taking taylor expansion of 0.5 in x 4.546 * [taylor]: Taking taylor expansion of 1.0 in x 4.764 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.764 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.765 * [taylor]: Taking taylor expansion of 1/3 in x 4.765 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.765 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.765 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.765 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.765 * [taylor]: Taking taylor expansion of 1.0 in x 4.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.765 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.765 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.765 * [taylor]: Taking taylor expansion of 1.0 in x 4.765 * [taylor]: Taking taylor expansion of 1.0 in x 4.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.765 * [taylor]: Taking taylor expansion of -1 in x 4.765 * [taylor]: Taking taylor expansion of x in x 4.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.765 * [taylor]: Taking taylor expansion of -1 in x 4.765 * [taylor]: Taking taylor expansion of x in x 4.768 * [taylor]: Taking taylor expansion of 1.0 in x 4.770 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.770 * [taylor]: Taking taylor expansion of 0.5 in x 4.771 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.781 * [taylor]: Taking taylor expansion of 1/3 in x 4.781 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.781 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.781 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.781 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.781 * [taylor]: Taking taylor expansion of -1 in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.781 * [taylor]: Taking taylor expansion of -1 in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.786 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.786 * [taylor]: Taking taylor expansion of 0.5 in x 4.787 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.998 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 4.998 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 4.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 4.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 4.998 * [taylor]: Taking taylor expansion of 1/3 in x 4.998 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.998 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.998 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.998 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.998 * [taylor]: Taking taylor expansion of 0.5 in x 4.999 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.999 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.999 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.999 * [taylor]: Taking taylor expansion of 1.0 in x 4.999 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.999 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.000 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.000 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.000 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.000 * [taylor]: Taking taylor expansion of 1.0 in x 5.000 * [taylor]: Taking taylor expansion of 1.0 in x 5.000 * [taylor]: Taking taylor expansion of (* x x) in x 5.000 * [taylor]: Taking taylor expansion of x in x 5.000 * [taylor]: Taking taylor expansion of x in x 5.003 * [taylor]: Taking taylor expansion of 1.0 in x 5.010 * [taylor]: Taking taylor expansion of 1.0 in x 5.034 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 5.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 5.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.034 * [taylor]: Taking taylor expansion of 1/3 in x 5.034 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.034 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.034 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.034 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.034 * [taylor]: Taking taylor expansion of 0.5 in x 5.035 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.035 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.035 * [taylor]: Taking taylor expansion of 1.0 in x 5.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.035 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.035 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.035 * [taylor]: Taking taylor expansion of 1.0 in x 5.035 * [taylor]: Taking taylor expansion of 1.0 in x 5.035 * [taylor]: Taking taylor expansion of (* x x) in x 5.035 * [taylor]: Taking taylor expansion of x in x 5.035 * [taylor]: Taking taylor expansion of x in x 5.038 * [taylor]: Taking taylor expansion of 1.0 in x 5.044 * [taylor]: Taking taylor expansion of 1.0 in x 5.816 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 5.816 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.817 * [taylor]: Taking taylor expansion of 1/3 in x 5.817 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.817 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.817 * [taylor]: Taking taylor expansion of x in x 5.830 * [taylor]: Taking taylor expansion of 1.0 in x 5.832 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.832 * [taylor]: Taking taylor expansion of 0.5 in x 5.833 * [taylor]: Taking taylor expansion of 1.0 in x 5.843 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.843 * [taylor]: Taking taylor expansion of 1/3 in x 5.843 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.843 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.843 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.843 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.843 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.843 * [taylor]: Taking taylor expansion of 1.0 in x 5.843 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.843 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.843 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.843 * [taylor]: Taking taylor expansion of 1.0 in x 5.843 * [taylor]: Taking taylor expansion of 1.0 in x 5.843 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.843 * [taylor]: Taking taylor expansion of x in x 5.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.844 * [taylor]: Taking taylor expansion of x in x 5.847 * [taylor]: Taking taylor expansion of 1.0 in x 5.849 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.849 * [taylor]: Taking taylor expansion of 0.5 in x 5.850 * [taylor]: Taking taylor expansion of 1.0 in x 6.062 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 6.062 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.062 * [taylor]: Taking taylor expansion of 1/3 in x 6.062 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.062 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.062 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.062 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.062 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.062 * [taylor]: Taking taylor expansion of 1.0 in x 6.062 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.062 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.062 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.062 * [taylor]: Taking taylor expansion of 1.0 in x 6.062 * [taylor]: Taking taylor expansion of 1.0 in x 6.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.062 * [taylor]: Taking taylor expansion of -1 in x 6.062 * [taylor]: Taking taylor expansion of x in x 6.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.063 * [taylor]: Taking taylor expansion of -1 in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.066 * [taylor]: Taking taylor expansion of 1.0 in x 6.068 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.068 * [taylor]: Taking taylor expansion of 0.5 in x 6.069 * [taylor]: Taking taylor expansion of 1.0 in x 6.078 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.078 * [taylor]: Taking taylor expansion of 1/3 in x 6.078 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.078 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.078 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.078 * [taylor]: Taking taylor expansion of 1.0 in x 6.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.078 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.079 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.079 * [taylor]: Taking taylor expansion of 1.0 in x 6.079 * [taylor]: Taking taylor expansion of 1.0 in x 6.079 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.079 * [taylor]: Taking taylor expansion of -1 in x 6.079 * [taylor]: Taking taylor expansion of x in x 6.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.079 * [taylor]: Taking taylor expansion of -1 in x 6.079 * [taylor]: Taking taylor expansion of x in x 6.082 * [taylor]: Taking taylor expansion of 1.0 in x 6.084 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.085 * [taylor]: Taking taylor expansion of 0.5 in x 6.085 * [taylor]: Taking taylor expansion of 1.0 in x 6.303 * * * [progress]: simplifying candidates 6.305 * [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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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 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4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) 6.359 * * * [progress]: adding candidates to table 6.703 * * [progress]: iteration 4 / 4 6.703 * * * [progress]: picking best candidate 6.716 * * * * [pick]: Picked # 6.716 * * * [progress]: localizing error 6.736 * * * [progress]: generating rewritten candidates 6.736 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.738 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.739 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 6.748 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.752 * * * [progress]: generating series expansions 6.752 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.753 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.754 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.754 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.754 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.754 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.754 * [taylor]: Taking taylor expansion of 0.5 in x 6.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.754 * [taylor]: Taking taylor expansion of 1.0 in x 6.754 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.754 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.754 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.754 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.754 * [taylor]: Taking taylor expansion of 1.0 in x 6.754 * [taylor]: Taking taylor expansion of 1.0 in x 6.754 * [taylor]: Taking taylor expansion of (* x x) in x 6.754 * [taylor]: Taking taylor expansion of x in x 6.754 * [taylor]: Taking taylor expansion of x in x 6.757 * [taylor]: Taking taylor expansion of 1.0 in x 6.757 * [taylor]: Taking taylor expansion of 1.0 in x 6.757 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.758 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.758 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.758 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.758 * [taylor]: Taking taylor expansion of 0.5 in x 6.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.758 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.758 * [taylor]: Taking taylor expansion of 1.0 in x 6.758 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.758 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.758 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.758 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.758 * [taylor]: Taking taylor expansion of 1.0 in x 6.758 * [taylor]: Taking taylor expansion of 1.0 in x 6.758 * [taylor]: Taking taylor expansion of (* x x) in x 6.758 * [taylor]: Taking taylor expansion of x in x 6.758 * [taylor]: Taking taylor expansion of x in x 6.761 * [taylor]: Taking taylor expansion of 1.0 in x 6.761 * [taylor]: Taking taylor expansion of 1.0 in x 6.856 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 6.856 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.856 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.856 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.856 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.856 * [taylor]: Taking taylor expansion of 0.5 in x 6.856 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.856 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.856 * [taylor]: Taking taylor expansion of 1.0 in x 6.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.856 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.856 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.856 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.856 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.856 * [taylor]: Taking taylor expansion of 1.0 in x 6.856 * [taylor]: Taking taylor expansion of 1.0 in x 6.856 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.856 * [taylor]: Taking taylor expansion of x in x 6.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.856 * [taylor]: Taking taylor expansion of x in x 6.859 * [taylor]: Taking taylor expansion of 1.0 in x 6.859 * [taylor]: Taking taylor expansion of 1.0 in x 6.859 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.860 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.860 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.860 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.860 * [taylor]: Taking taylor expansion of 0.5 in x 6.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.860 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.860 * [taylor]: Taking taylor expansion of 1.0 in x 6.860 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.860 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.860 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.860 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.860 * [taylor]: Taking taylor expansion of 1.0 in x 6.860 * [taylor]: Taking taylor expansion of 1.0 in x 6.860 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.860 * [taylor]: Taking taylor expansion of x in x 6.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.860 * [taylor]: Taking taylor expansion of x in x 6.863 * [taylor]: Taking taylor expansion of 1.0 in x 6.863 * [taylor]: Taking taylor expansion of 1.0 in x 6.882 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 6.882 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.883 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.883 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.883 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.883 * [taylor]: Taking taylor expansion of 0.5 in x 6.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.883 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.883 * [taylor]: Taking taylor expansion of 1.0 in x 6.883 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.883 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.883 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.883 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.883 * [taylor]: Taking taylor expansion of 1.0 in x 6.883 * [taylor]: Taking taylor expansion of 1.0 in x 6.883 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.883 * [taylor]: Taking taylor expansion of -1 in x 6.883 * [taylor]: Taking taylor expansion of x in x 6.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.883 * [taylor]: Taking taylor expansion of -1 in x 6.883 * [taylor]: Taking taylor expansion of x in x 6.886 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.887 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.887 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.887 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.887 * [taylor]: Taking taylor expansion of 0.5 in x 6.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.887 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.887 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.887 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.887 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.887 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of 1.0 in x 6.887 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.887 * [taylor]: Taking taylor expansion of -1 in x 6.887 * [taylor]: Taking taylor expansion of x in x 6.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.887 * [taylor]: Taking taylor expansion of -1 in x 6.887 * [taylor]: Taking taylor expansion of x in x 6.890 * [taylor]: Taking taylor expansion of 1.0 in x 6.890 * [taylor]: Taking taylor expansion of 1.0 in x 6.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.909 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 6.909 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.909 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.909 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.909 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.909 * [taylor]: Taking taylor expansion of 0.5 in x 6.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.909 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.909 * [taylor]: Taking taylor expansion of 1.0 in x 6.909 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.909 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.909 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.909 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.909 * [taylor]: Taking taylor expansion of 1.0 in x 6.909 * [taylor]: Taking taylor expansion of 1.0 in x 6.909 * [taylor]: Taking taylor expansion of (* x x) in x 6.909 * [taylor]: Taking taylor expansion of x in x 6.909 * [taylor]: Taking taylor expansion of x in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.913 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.913 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.913 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.913 * [taylor]: Taking taylor expansion of 0.5 in x 6.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.913 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.913 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of (* x x) in x 6.913 * [taylor]: Taking taylor expansion of x in x 6.913 * [taylor]: Taking taylor expansion of x in x 6.924 * [taylor]: Taking taylor expansion of 1.0 in x 6.924 * [taylor]: Taking taylor expansion of 1.0 in x 7.024 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 7.024 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.024 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.024 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.024 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.024 * [taylor]: Taking taylor expansion of 0.5 in x 7.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.024 * [taylor]: Taking taylor expansion of 1.0 in x 7.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.024 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.024 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.024 * [taylor]: Taking taylor expansion of 1.0 in x 7.024 * [taylor]: Taking taylor expansion of 1.0 in x 7.024 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.024 * [taylor]: Taking taylor expansion of x in x 7.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.024 * [taylor]: Taking taylor expansion of x in x 7.027 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.028 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.028 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.028 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.028 * [taylor]: Taking taylor expansion of 0.5 in x 7.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.028 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.028 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.028 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.028 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [taylor]: Taking taylor expansion of 1.0 in x 7.028 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.028 * [taylor]: Taking taylor expansion of x in x 7.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.028 * [taylor]: Taking taylor expansion of x in x 7.031 * [taylor]: Taking taylor expansion of 1.0 in x 7.031 * [taylor]: Taking taylor expansion of 1.0 in x 7.050 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 7.050 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.050 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.050 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.050 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.050 * [taylor]: Taking taylor expansion of 0.5 in x 7.050 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.050 * [taylor]: Taking taylor expansion of 1.0 in x 7.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.050 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.050 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.050 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.050 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.050 * [taylor]: Taking taylor expansion of 1.0 in x 7.050 * [taylor]: Taking taylor expansion of 1.0 in x 7.050 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.050 * [taylor]: Taking taylor expansion of -1 in x 7.050 * [taylor]: Taking taylor expansion of x in x 7.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.050 * [taylor]: Taking taylor expansion of -1 in x 7.050 * [taylor]: Taking taylor expansion of x in x 7.054 * [taylor]: Taking taylor expansion of 1.0 in x 7.054 * [taylor]: Taking taylor expansion of 1.0 in x 7.054 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.054 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.054 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.054 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.054 * [taylor]: Taking taylor expansion of 0.5 in x 7.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.054 * [taylor]: Taking taylor expansion of 1.0 in x 7.054 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.054 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.054 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.054 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.054 * [taylor]: Taking taylor expansion of 1.0 in x 7.054 * [taylor]: Taking taylor expansion of 1.0 in x 7.054 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.054 * [taylor]: Taking taylor expansion of -1 in x 7.054 * [taylor]: Taking taylor expansion of x in x 7.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.055 * [taylor]: Taking taylor expansion of -1 in x 7.055 * [taylor]: Taking taylor expansion of x in x 7.058 * [taylor]: Taking taylor expansion of 1.0 in x 7.058 * [taylor]: Taking taylor expansion of 1.0 in x 7.077 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 7.077 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 7.077 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 7.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 7.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 7.077 * [taylor]: Taking taylor expansion of 1/3 in x 7.077 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 7.077 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 7.077 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.077 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.077 * [taylor]: Taking taylor expansion of 0.5 in x 7.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.078 * [taylor]: Taking taylor expansion of 1.0 in x 7.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.078 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.078 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.078 * [taylor]: Taking taylor expansion of 1.0 in x 7.078 * [taylor]: Taking taylor expansion of 1.0 in x 7.078 * [taylor]: Taking taylor expansion of (* x x) in x 7.078 * [taylor]: Taking taylor expansion of x in x 7.078 * [taylor]: Taking taylor expansion of x in x 7.081 * [taylor]: Taking taylor expansion of 1.0 in x 7.087 * [taylor]: Taking taylor expansion of 1.0 in x 7.118 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 7.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 7.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 7.118 * [taylor]: Taking taylor expansion of 1/3 in x 7.118 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 7.118 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 7.118 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.118 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.118 * [taylor]: Taking taylor expansion of 0.5 in x 7.119 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.119 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.119 * [taylor]: Taking taylor expansion of 1.0 in x 7.119 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.119 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.119 * [taylor]: Taking taylor expansion of 1.0 in x 7.119 * [taylor]: Taking taylor expansion of 1.0 in x 7.119 * [taylor]: Taking taylor expansion of (* x x) in x 7.119 * [taylor]: Taking taylor expansion of x in x 7.119 * [taylor]: Taking taylor expansion of x in x 7.122 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 7.894 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 7.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.894 * [taylor]: Taking taylor expansion of 1/3 in x 7.894 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.894 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.894 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.894 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.894 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of 1.0 in x 7.894 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.894 * [taylor]: Taking taylor expansion of x in x 7.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.895 * [taylor]: Taking taylor expansion of x in x 7.897 * [taylor]: Taking taylor expansion of 1.0 in x 7.899 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.899 * [taylor]: Taking taylor expansion of 0.5 in x 7.900 * [taylor]: Taking taylor expansion of 1.0 in x 7.910 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 7.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.910 * [taylor]: Taking taylor expansion of 1/3 in x 7.910 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.910 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.910 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.910 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.910 * [taylor]: Taking taylor expansion of 1.0 in x 7.910 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.910 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.910 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.910 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.910 * [taylor]: Taking taylor expansion of 1.0 in x 7.910 * [taylor]: Taking taylor expansion of 1.0 in x 7.910 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.910 * [taylor]: Taking taylor expansion of x in x 7.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.911 * [taylor]: Taking taylor expansion of x in x 7.914 * [taylor]: Taking taylor expansion of 1.0 in x 7.916 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.916 * [taylor]: Taking taylor expansion of 0.5 in x 7.917 * [taylor]: Taking taylor expansion of 1.0 in x 8.131 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 8.131 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 8.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 8.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 8.131 * [taylor]: Taking taylor expansion of 1/3 in x 8.131 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.131 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.131 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.131 * [taylor]: Taking taylor expansion of 1.0 in x 8.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.131 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.131 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.131 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.131 * [taylor]: Taking taylor expansion of 1.0 in x 8.131 * [taylor]: Taking taylor expansion of 1.0 in x 8.131 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.131 * [taylor]: Taking taylor expansion of -1 in x 8.131 * [taylor]: Taking taylor expansion of x in x 8.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.132 * [taylor]: Taking taylor expansion of -1 in x 8.132 * [taylor]: Taking taylor expansion of x in x 8.135 * [taylor]: Taking taylor expansion of 1.0 in x 8.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.137 * [taylor]: Taking taylor expansion of 0.5 in x 8.138 * [taylor]: Taking taylor expansion of 1.0 in x 8.147 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 8.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 8.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 8.147 * [taylor]: Taking taylor expansion of 1/3 in x 8.147 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.147 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.147 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.147 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.147 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.147 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.147 * [taylor]: Taking taylor expansion of 1.0 in x 8.147 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.148 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.148 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.148 * [taylor]: Taking taylor expansion of 1.0 in x 8.148 * [taylor]: Taking taylor expansion of 1.0 in x 8.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.148 * [taylor]: Taking taylor expansion of -1 in x 8.148 * [taylor]: Taking taylor expansion of x in x 8.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.148 * [taylor]: Taking taylor expansion of -1 in x 8.148 * [taylor]: Taking taylor expansion of x in x 8.151 * [taylor]: Taking taylor expansion of 1.0 in x 8.153 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.153 * [taylor]: Taking taylor expansion of 0.5 in x 8.154 * [taylor]: Taking taylor expansion of 1.0 in x 8.363 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.363 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 8.363 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 8.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 8.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 8.363 * [taylor]: Taking taylor expansion of 1/3 in x 8.363 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 8.363 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.363 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.363 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.363 * [taylor]: Taking taylor expansion of 0.5 in x 8.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.364 * [taylor]: Taking taylor expansion of 1.0 in x 8.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.364 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.364 * [taylor]: Taking taylor expansion of 1.0 in x 8.364 * [taylor]: Taking taylor expansion of 1.0 in x 8.364 * [taylor]: Taking taylor expansion of (* x x) in x 8.364 * [taylor]: Taking taylor expansion of x in x 8.364 * [taylor]: Taking taylor expansion of x in x 8.367 * [taylor]: Taking taylor expansion of 1.0 in x 8.373 * [taylor]: Taking taylor expansion of 1.0 in x 8.396 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 8.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 8.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 8.396 * [taylor]: Taking taylor expansion of 1/3 in x 8.396 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 8.396 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.396 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.396 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.396 * [taylor]: Taking taylor expansion of 0.5 in x 8.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.397 * [taylor]: Taking taylor expansion of 1.0 in x 8.397 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.397 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.397 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.397 * [taylor]: Taking taylor expansion of 1.0 in x 8.397 * [taylor]: Taking taylor expansion of 1.0 in x 8.397 * [taylor]: Taking taylor expansion of (* x x) in x 8.397 * [taylor]: Taking taylor expansion of x in x 8.397 * [taylor]: Taking taylor expansion of x in x 8.400 * [taylor]: Taking taylor expansion of 1.0 in x 8.405 * [taylor]: Taking taylor expansion of 1.0 in x 9.352 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 9.352 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 9.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 9.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.352 * [taylor]: Taking taylor expansion of 1/3 in x 9.352 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.352 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.353 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.353 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.353 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.353 * [taylor]: Taking taylor expansion of 1.0 in x 9.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.353 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.353 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.353 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.353 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.353 * [taylor]: Taking taylor expansion of 1.0 in x 9.353 * [taylor]: Taking taylor expansion of 1.0 in x 9.353 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.353 * [taylor]: Taking taylor expansion of x in x 9.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.353 * [taylor]: Taking taylor expansion of x in x 9.356 * [taylor]: Taking taylor expansion of 1.0 in x 9.358 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.358 * [taylor]: Taking taylor expansion of 0.5 in x 9.359 * [taylor]: Taking taylor expansion of 1.0 in x 9.368 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 9.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 9.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.368 * [taylor]: Taking taylor expansion of 1/3 in x 9.368 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.368 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.368 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.368 * [taylor]: Taking taylor expansion of 1.0 in x 9.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.369 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.369 * [taylor]: Taking taylor expansion of 1.0 in x 9.369 * [taylor]: Taking taylor expansion of 1.0 in x 9.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.369 * [taylor]: Taking taylor expansion of x in x 9.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.369 * [taylor]: Taking taylor expansion of x in x 9.372 * [taylor]: Taking taylor expansion of 1.0 in x 9.374 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.374 * [taylor]: Taking taylor expansion of 0.5 in x 9.375 * [taylor]: Taking taylor expansion of 1.0 in x 9.578 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 9.578 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 9.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 9.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.579 * [taylor]: Taking taylor expansion of 1/3 in x 9.579 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.579 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.579 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.579 * [taylor]: Taking taylor expansion of 1.0 in x 9.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.579 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.579 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.579 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.579 * [taylor]: Taking taylor expansion of 1.0 in x 9.579 * [taylor]: Taking taylor expansion of 1.0 in x 9.579 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.579 * [taylor]: Taking taylor expansion of -1 in x 9.579 * [taylor]: Taking taylor expansion of x in x 9.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.586 * [taylor]: Taking taylor expansion of -1 in x 9.586 * [taylor]: Taking taylor expansion of x in x 9.589 * [taylor]: Taking taylor expansion of 1.0 in x 9.591 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.592 * [taylor]: Taking taylor expansion of 0.5 in x 9.592 * [taylor]: Taking taylor expansion of 1.0 in x 9.602 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 9.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 9.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.602 * [taylor]: Taking taylor expansion of 1/3 in x 9.602 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.602 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.602 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.602 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.602 * [taylor]: Taking taylor expansion of 1.0 in x 9.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.602 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.603 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.603 * [taylor]: Taking taylor expansion of 1.0 in x 9.603 * [taylor]: Taking taylor expansion of 1.0 in x 9.603 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.603 * [taylor]: Taking taylor expansion of -1 in x 9.603 * [taylor]: Taking taylor expansion of x in x 9.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.603 * [taylor]: Taking taylor expansion of -1 in x 9.603 * [taylor]: Taking taylor expansion of x in x 9.607 * [taylor]: Taking taylor expansion of 1.0 in x 9.609 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.609 * [taylor]: Taking taylor expansion of 0.5 in x 9.609 * [taylor]: Taking taylor expansion of 1.0 in x 9.814 * * * [progress]: simplifying candidates 9.816 * [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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 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(sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) 9.868 * * * [progress]: adding candidates to table 10.212 * [progress]: [Phase 3 of 3] Extracting. 10.212 * * [regime]: Finding splitpoints for: (# # # # #) 10.214 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 10.214 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 10.248 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 10.269 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 10.304 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 10.329 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 10.357 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 10.379 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # #) 10.406 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# #) 10.419 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # #) 10.452 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# #) 10.467 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # #) 10.499 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.537 * * * [regime]: Found split indices: #