12.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.035 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.036 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.039 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.040 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.043 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.043 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.065 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.068 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* x x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.090 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.090 * [taylor]: Taking taylor expansion of 0.5 in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.091 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.091 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.340 * [taylor]: Taking taylor expansion of 0.5 in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [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 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.389 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [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 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.439 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.440 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (* x x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.450 * [taylor]: Taking taylor expansion of 0.5 in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.451 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.451 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (* x x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.640 * [taylor]: Taking taylor expansion of 0.5 in x 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.675 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.681 * [taylor]: Taking taylor expansion of 0.5 in x 0.682 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.688 * [taylor]: Taking taylor expansion of 0.5 in x 0.710 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.710 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.710 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.711 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (* x x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.714 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.714 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.714 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (* x x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.760 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.760 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.763 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.763 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.786 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.786 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.787 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.787 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.787 * [taylor]: Taking taylor expansion of -1 in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.787 * [taylor]: Taking taylor expansion of -1 in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.820 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.821 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.821 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.821 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.821 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.821 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (* x x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.824 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (* x x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.885 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.888 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.912 * [taylor]: Taking taylor expansion of -1 in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * * * [progress]: simplifying candidates 0.928 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 0.936 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.946 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 0.980 * * [simplify]: iteration 2 : 5002 enodes (cost 876 ) 0.985 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 0.986 * * * [progress]: adding candidates to table 1.221 * * [progress]: iteration 2 / 4 1.221 * * * [progress]: picking best candidate 1.234 * * * * [pick]: Picked # 1.235 * * * [progress]: localizing error 1.247 * * * [progress]: generating rewritten candidates 1.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.263 * * * [progress]: generating series expansions 1.263 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.264 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.264 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.264 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.264 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.264 * [taylor]: Taking taylor expansion of 0.5 in x 1.264 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.264 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.264 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.265 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.265 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (* x x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.268 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.268 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.268 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.268 * [taylor]: Taking taylor expansion of 0.5 in x 1.268 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.268 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.268 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.268 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.268 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (* x x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.363 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.363 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.363 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.363 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.363 * [taylor]: Taking taylor expansion of 0.5 in x 1.363 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.363 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.363 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.363 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.367 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.367 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.367 * [taylor]: Taking taylor expansion of 0.5 in x 1.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.389 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.389 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.389 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.389 * [taylor]: Taking taylor expansion of 0.5 in x 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.389 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.389 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.393 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.393 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.393 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.393 * [taylor]: Taking taylor expansion of 0.5 in x 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.393 * [taylor]: Taking taylor expansion of -1 in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.393 * [taylor]: Taking taylor expansion of -1 in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.421 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.421 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.421 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.421 * [taylor]: Taking taylor expansion of 0.5 in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.422 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.422 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.422 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.422 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.422 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (* x x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.431 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.431 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.431 * [taylor]: Taking taylor expansion of 0.5 in x 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.431 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.431 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.432 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.432 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (* x x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [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 1.649 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.649 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.649 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.649 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.649 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.655 * [taylor]: Taking taylor expansion of 0.5 in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.656 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.661 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.661 * [taylor]: Taking taylor expansion of 0.5 in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [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 1.691 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.691 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.691 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.691 * [taylor]: Taking taylor expansion of -1 in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.692 * [taylor]: Taking taylor expansion of -1 in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.697 * [taylor]: Taking taylor expansion of 0.5 in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.697 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.697 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.697 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.697 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.698 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.698 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.698 * [taylor]: Taking taylor expansion of 1.0 in x 1.698 * [taylor]: Taking taylor expansion of 1.0 in x 1.698 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.698 * [taylor]: Taking taylor expansion of -1 in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.698 * [taylor]: Taking taylor expansion of -1 in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.703 * [taylor]: Taking taylor expansion of 0.5 in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.739 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.739 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.739 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.739 * [taylor]: Taking taylor expansion of 0.5 in x 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.740 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.740 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (* x x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.749 * [taylor]: Taking taylor expansion of 0.5 in x 1.749 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.749 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.749 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.749 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.750 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (* x x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.932 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.932 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.932 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.932 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.932 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.932 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.932 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of 1.0 in x 1.938 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.938 * [taylor]: Taking taylor expansion of 0.5 in x 1.938 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.938 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.939 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.944 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.944 * [taylor]: Taking taylor expansion of 0.5 in x 1.973 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.973 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.979 * [taylor]: Taking taylor expansion of 0.5 in x 1.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.980 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.980 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.980 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.986 * [taylor]: Taking taylor expansion of 0.5 in x 2.009 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.009 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.009 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.009 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.009 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.009 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of (* x x) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.012 * [taylor]: Taking taylor expansion of 1.0 in x 2.012 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.012 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.012 * [taylor]: Taking taylor expansion of 1.0 in x 2.012 * [taylor]: Taking taylor expansion of 1.0 in x 2.012 * [taylor]: Taking taylor expansion of (* x x) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.057 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.057 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.057 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.061 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.061 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.083 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.083 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.084 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.084 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.084 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.084 * [taylor]: Taking taylor expansion of -1 in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.084 * [taylor]: Taking taylor expansion of -1 in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.087 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.087 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.088 * [taylor]: Taking taylor expansion of -1 in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.110 * * * [progress]: simplifying candidates 2.112 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (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)))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.118 * * [simplify]: iteration 0 : 499 enodes (cost 686 ) 2.126 * * [simplify]: iteration 1 : 1863 enodes (cost 644 ) 2.156 * * [simplify]: iteration 2 : 5001 enodes (cost 643 ) 2.160 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.161 * * * [progress]: adding candidates to table 2.423 * * [progress]: iteration 3 / 4 2.423 * * * [progress]: picking best candidate 2.436 * * * * [pick]: Picked # 2.436 * * * [progress]: localizing error 2.451 * * * [progress]: generating rewritten candidates 2.451 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2 2) 2.476 * * * [progress]: generating series expansions 2.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.476 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 2.476 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.476 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.476 * [taylor]: Taking taylor expansion of 0.5 in x 2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.478 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (* x x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.481 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.487 * [taylor]: Taking taylor expansion of 0.5 in x 2.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.487 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.488 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of (* x x) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [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 2.735 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 2.735 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.735 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.735 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.735 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.735 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.735 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.735 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.735 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.736 * [taylor]: Taking taylor expansion of x in x 2.739 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.741 * [taylor]: Taking taylor expansion of 0.5 in x 2.741 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.741 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.741 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.742 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.748 * [taylor]: Taking taylor expansion of 0.5 in x 2.791 * [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 2.791 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.792 * [taylor]: Taking taylor expansion of -1 in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.792 * [taylor]: Taking taylor expansion of -1 in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.797 * [taylor]: Taking taylor expansion of 0.5 in x 2.798 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.798 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.798 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.798 * [taylor]: Taking taylor expansion of -1 in x 2.798 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.799 * [taylor]: Taking taylor expansion of -1 in x 2.799 * [taylor]: Taking taylor expansion of x in x 2.802 * [taylor]: Taking taylor expansion of 1.0 in x 2.804 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.804 * [taylor]: Taking taylor expansion of 0.5 in x 2.840 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.840 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 2.840 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.840 * [taylor]: Taking taylor expansion of 1.0 in x 2.840 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.840 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.840 * [taylor]: Taking taylor expansion of 0.5 in x 2.841 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.841 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.841 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.841 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.841 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.841 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.841 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [taylor]: Taking taylor expansion of (* x x) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.850 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.850 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.850 * [taylor]: Taking taylor expansion of 0.5 in x 2.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.851 * [taylor]: Taking taylor expansion of 1.0 in x 2.851 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.851 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.851 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.851 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.851 * [taylor]: Taking taylor expansion of 1.0 in x 2.851 * [taylor]: Taking taylor expansion of 1.0 in x 2.851 * [taylor]: Taking taylor expansion of (* x x) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.854 * [taylor]: Taking taylor expansion of 1.0 in x 3.099 * [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 3.099 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 3.099 * [taylor]: Taking taylor expansion of 1.0 in x 3.099 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.099 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.099 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.099 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.100 * [taylor]: Taking taylor expansion of 1.0 in x 3.100 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.100 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.100 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.100 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.100 * [taylor]: Taking taylor expansion of 1.0 in x 3.100 * [taylor]: Taking taylor expansion of 1.0 in x 3.100 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.100 * [taylor]: Taking taylor expansion of x in x 3.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.100 * [taylor]: Taking taylor expansion of x in x 3.103 * [taylor]: Taking taylor expansion of 1.0 in x 3.112 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.112 * [taylor]: Taking taylor expansion of 0.5 in x 3.113 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.113 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.113 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.113 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.113 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.114 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.119 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.119 * [taylor]: Taking taylor expansion of 0.5 in x 3.157 * [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 3.157 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.157 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.157 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.157 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.157 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.157 * [taylor]: Taking taylor expansion of -1 in x 3.157 * [taylor]: Taking taylor expansion of x in x 3.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.158 * [taylor]: Taking taylor expansion of -1 in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.161 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.163 * [taylor]: Taking taylor expansion of 0.5 in x 3.163 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.163 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.164 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.164 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.164 * [taylor]: Taking taylor expansion of -1 in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.164 * [taylor]: Taking taylor expansion of -1 in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.169 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.169 * [taylor]: Taking taylor expansion of 0.5 in x 3.213 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.213 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 3.213 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.213 * [taylor]: Taking taylor expansion of 0.5 in x 3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.214 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.214 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.214 * [taylor]: Taking taylor expansion of (* x x) in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.218 * [taylor]: Taking taylor expansion of 1.0 in x 3.224 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.224 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.224 * [taylor]: Taking taylor expansion of 0.5 in x 3.224 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.224 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.224 * [taylor]: Taking taylor expansion of 1.0 in x 3.224 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.225 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [taylor]: Taking taylor expansion of 1.0 in x 3.225 * [taylor]: Taking taylor expansion of (* x x) in x 3.225 * [taylor]: Taking taylor expansion of x in x 3.225 * [taylor]: Taking taylor expansion of x in x 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.406 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.406 * [taylor]: Taking taylor expansion of 1.0 in x 3.406 * [taylor]: Taking taylor expansion of 1.0 in x 3.406 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.409 * [taylor]: Taking taylor expansion of 1.0 in x 3.411 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.411 * [taylor]: Taking taylor expansion of 0.5 in x 3.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.412 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.412 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.412 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.412 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.415 * [taylor]: Taking taylor expansion of 1.0 in x 3.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.417 * [taylor]: Taking taylor expansion of 0.5 in x 3.440 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 3.440 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.440 * [taylor]: Taking taylor expansion of 1.0 in x 3.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.440 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.440 * [taylor]: Taking taylor expansion of 1.0 in x 3.440 * [taylor]: Taking taylor expansion of 1.0 in x 3.440 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.440 * [taylor]: Taking taylor expansion of -1 in x 3.440 * [taylor]: Taking taylor expansion of x in x 3.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.440 * [taylor]: Taking taylor expansion of -1 in x 3.440 * [taylor]: Taking taylor expansion of x in x 3.450 * [taylor]: Taking taylor expansion of 1.0 in x 3.452 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.452 * [taylor]: Taking taylor expansion of 0.5 in x 3.453 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.453 * [taylor]: Taking taylor expansion of 1.0 in x 3.453 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.453 * [taylor]: Taking taylor expansion of 1.0 in x 3.453 * [taylor]: Taking taylor expansion of 1.0 in x 3.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.453 * [taylor]: Taking taylor expansion of -1 in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.454 * [taylor]: Taking taylor expansion of -1 in x 3.454 * [taylor]: Taking taylor expansion of x in x 3.457 * [taylor]: Taking taylor expansion of 1.0 in x 3.459 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.459 * [taylor]: Taking taylor expansion of 0.5 in x 3.482 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2 2) 3.482 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.482 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of (* x x) in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.486 * [taylor]: Taking taylor expansion of 1.0 in x 3.486 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.486 * [taylor]: Taking taylor expansion of 1.0 in x 3.486 * [taylor]: Taking taylor expansion of 1.0 in x 3.486 * [taylor]: Taking taylor expansion of (* x x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.526 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.526 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of 1.0 in x 3.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.537 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.560 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.560 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.560 * [taylor]: Taking taylor expansion of 1.0 in x 3.560 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.560 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.560 * [taylor]: Taking taylor expansion of 1.0 in x 3.560 * [taylor]: Taking taylor expansion of 1.0 in x 3.560 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.560 * [taylor]: Taking taylor expansion of -1 in x 3.560 * [taylor]: Taking taylor expansion of x in x 3.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.561 * [taylor]: Taking taylor expansion of -1 in x 3.561 * [taylor]: Taking taylor expansion of x in x 3.564 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.564 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.564 * [taylor]: Taking taylor expansion of -1 in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.565 * [taylor]: Taking taylor expansion of -1 in x 3.565 * [taylor]: Taking taylor expansion of x in x 3.587 * * * [progress]: simplifying candidates 3.590 * [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 (/ 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1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 3.600 * * [simplify]: iteration 0 : 559 enodes (cost 1699 ) 3.608 * * [simplify]: iteration 1 : 1974 enodes (cost 1226 ) 3.641 * * [simplify]: iteration 2 : 5003 enodes (cost 1080 ) 3.647 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 0 (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))))))) 0 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 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)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 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)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 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))))))) (- (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 (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))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 0 (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))))))) 0 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 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)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 (- 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)))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0 1.0 (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1.0 (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 2 (log (cbrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (cbrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) 0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- 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 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (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))))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 3.648 * * * [progress]: adding candidates to table 3.943 * * [progress]: iteration 4 / 4 3.943 * * * [progress]: picking best candidate 3.958 * * * * [pick]: Picked # 3.958 * * * [progress]: localizing error 3.974 * * * [progress]: generating rewritten candidates 3.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.975 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.976 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.984 * * * [progress]: generating series expansions 3.984 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.985 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.985 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.985 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.985 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.985 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.985 * [taylor]: Taking taylor expansion of 0.5 in x 3.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.985 * [taylor]: Taking taylor expansion of 1.0 in x 3.985 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.985 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.985 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.985 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.985 * [taylor]: Taking taylor expansion of 1.0 in x 3.985 * [taylor]: Taking taylor expansion of 1.0 in x 3.985 * [taylor]: Taking taylor expansion of (* x x) in x 3.985 * [taylor]: Taking taylor expansion of x in x 3.985 * [taylor]: Taking taylor expansion of x in x 3.988 * [taylor]: Taking taylor expansion of 1.0 in x 3.988 * [taylor]: Taking taylor expansion of 1.0 in x 3.988 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.988 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.988 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.988 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.988 * [taylor]: Taking taylor expansion of 0.5 in x 3.988 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.988 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.988 * [taylor]: Taking taylor expansion of 1.0 in x 3.988 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.988 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.989 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.989 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.989 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.989 * [taylor]: Taking taylor expansion of 1.0 in x 3.989 * [taylor]: Taking taylor expansion of 1.0 in x 3.989 * [taylor]: Taking taylor expansion of (* x x) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.991 * [taylor]: Taking taylor expansion of 1.0 in x 3.992 * [taylor]: Taking taylor expansion of 1.0 in x 4.081 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.081 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.081 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.081 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.081 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.081 * [taylor]: Taking taylor expansion of 0.5 in x 4.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.081 * [taylor]: Taking taylor expansion of 1.0 in x 4.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.081 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.082 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.082 * [taylor]: Taking taylor expansion of 1.0 in x 4.082 * [taylor]: Taking taylor expansion of 1.0 in x 4.082 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.085 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.085 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.085 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.085 * [taylor]: Taking taylor expansion of 0.5 in x 4.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.085 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.085 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.085 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.085 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.085 * [taylor]: Taking taylor expansion of x in x 4.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.086 * [taylor]: Taking taylor expansion of x in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.107 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.107 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.107 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.107 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.107 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.107 * [taylor]: Taking taylor expansion of 0.5 in x 4.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.107 * [taylor]: Taking taylor expansion of 1.0 in x 4.107 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.107 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.107 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.107 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.107 * [taylor]: Taking taylor expansion of 1.0 in x 4.107 * [taylor]: Taking taylor expansion of 1.0 in x 4.107 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.107 * [taylor]: Taking taylor expansion of -1 in x 4.107 * [taylor]: Taking taylor expansion of x in x 4.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.107 * [taylor]: Taking taylor expansion of -1 in x 4.108 * [taylor]: Taking taylor expansion of x in x 4.117 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.117 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.117 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.117 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.117 * [taylor]: Taking taylor expansion of 0.5 in x 4.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.117 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.117 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.117 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of 1.0 in x 4.117 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.117 * [taylor]: Taking taylor expansion of -1 in x 4.117 * [taylor]: Taking taylor expansion of x in x 4.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.118 * [taylor]: Taking taylor expansion of -1 in x 4.118 * [taylor]: Taking taylor expansion of x in x 4.121 * [taylor]: Taking taylor expansion of 1.0 in x 4.121 * [taylor]: Taking taylor expansion of 1.0 in x 4.138 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 4.139 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 4.139 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.139 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.139 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.139 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.139 * [taylor]: Taking taylor expansion of 0.5 in x 4.139 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.139 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.139 * [taylor]: Taking taylor expansion of 1.0 in x 4.139 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.139 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.139 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.139 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.139 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.139 * [taylor]: Taking taylor expansion of 1.0 in x 4.139 * [taylor]: Taking taylor expansion of 1.0 in x 4.139 * [taylor]: Taking taylor expansion of (* x x) in x 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [taylor]: Taking taylor expansion of x in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.142 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.142 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.142 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.142 * [taylor]: Taking taylor expansion of 0.5 in x 4.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.142 * [taylor]: Taking taylor expansion of 1.0 in x 4.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.142 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.143 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.143 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.143 * [taylor]: Taking taylor expansion of (* x x) in x 4.143 * [taylor]: Taking taylor expansion of x in x 4.143 * [taylor]: Taking taylor expansion of x in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.235 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.235 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.235 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.235 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.235 * [taylor]: Taking taylor expansion of 0.5 in x 4.235 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.235 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.235 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.236 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [taylor]: Taking taylor expansion of 1.0 in x 4.236 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.239 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.239 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.239 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.239 * [taylor]: Taking taylor expansion of 0.5 in x 4.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.239 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.239 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.239 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.239 * [taylor]: Taking taylor expansion of x in x 4.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.240 * [taylor]: Taking taylor expansion of x in x 4.243 * [taylor]: Taking taylor expansion of 1.0 in x 4.243 * [taylor]: Taking taylor expansion of 1.0 in x 4.260 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.261 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.261 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.261 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.261 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.261 * [taylor]: Taking taylor expansion of 0.5 in x 4.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.261 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.261 * [taylor]: Taking taylor expansion of 1.0 in x 4.261 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.261 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.261 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.261 * [taylor]: Taking taylor expansion of 1.0 in x 4.261 * [taylor]: Taking taylor expansion of 1.0 in x 4.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.261 * [taylor]: Taking taylor expansion of -1 in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.261 * [taylor]: Taking taylor expansion of -1 in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.265 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.265 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.265 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.265 * [taylor]: Taking taylor expansion of 0.5 in x 4.265 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.265 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.265 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.265 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.265 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.265 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.265 * [taylor]: Taking taylor expansion of -1 in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.265 * [taylor]: Taking taylor expansion of -1 in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.268 * [taylor]: Taking taylor expansion of 1.0 in x 4.269 * [taylor]: Taking taylor expansion of 1.0 in x 4.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.292 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 4.292 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.293 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.293 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.293 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.293 * [taylor]: Taking taylor expansion of 0.5 in x 4.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.293 * [taylor]: Taking taylor expansion of 1.0 in x 4.293 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.293 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.293 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.293 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.293 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.293 * [taylor]: Taking taylor expansion of 1.0 in x 4.293 * [taylor]: Taking taylor expansion of 1.0 in x 4.293 * [taylor]: Taking taylor expansion of (* x x) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.296 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.296 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.296 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.296 * [taylor]: Taking taylor expansion of 0.5 in x 4.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.296 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.296 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.296 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.296 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (* x x) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.388 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 4.388 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.389 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.389 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.389 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.389 * [taylor]: Taking taylor expansion of 0.5 in x 4.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.389 * [taylor]: Taking taylor expansion of 1.0 in x 4.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.389 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.389 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.389 * [taylor]: Taking taylor expansion of 1.0 in x 4.389 * [taylor]: Taking taylor expansion of 1.0 in x 4.389 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.389 * [taylor]: Taking taylor expansion of x in x 4.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.389 * [taylor]: Taking taylor expansion of x in x 4.392 * [taylor]: Taking taylor expansion of 1.0 in x 4.392 * [taylor]: Taking taylor expansion of 1.0 in x 4.392 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.392 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.392 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.392 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.392 * [taylor]: Taking taylor expansion of 0.5 in x 4.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.392 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.393 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.396 * [taylor]: Taking taylor expansion of 1.0 in x 4.396 * [taylor]: Taking taylor expansion of 1.0 in x 4.414 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 4.414 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.414 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.414 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.414 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.414 * [taylor]: Taking taylor expansion of 0.5 in x 4.415 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.415 * [taylor]: Taking taylor expansion of 1.0 in x 4.415 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.415 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.415 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.415 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.415 * [taylor]: Taking taylor expansion of 1.0 in x 4.415 * [taylor]: Taking taylor expansion of 1.0 in x 4.415 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.415 * [taylor]: Taking taylor expansion of -1 in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.415 * [taylor]: Taking taylor expansion of -1 in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.418 * [taylor]: Taking taylor expansion of 1.0 in x 4.418 * [taylor]: Taking taylor expansion of 1.0 in x 4.418 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.418 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.418 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.418 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.418 * [taylor]: Taking taylor expansion of 0.5 in x 4.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.418 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.418 * [taylor]: Taking taylor expansion of 1.0 in x 4.418 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.419 * [taylor]: Taking taylor expansion of -1 in x 4.419 * [taylor]: Taking taylor expansion of x in x 4.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.419 * [taylor]: Taking taylor expansion of -1 in x 4.419 * [taylor]: Taking taylor expansion of x in x 4.422 * [taylor]: Taking taylor expansion of 1.0 in x 4.422 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.447 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in (x) around 0 4.447 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 4.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 4.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 4.447 * [taylor]: Taking taylor expansion of 1/3 in x 4.447 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 4.447 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 4.447 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.447 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.447 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.447 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.447 * [taylor]: Taking taylor expansion of 0.5 in x 4.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.447 * [taylor]: Taking taylor expansion of 1.0 in x 4.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.447 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.447 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.447 * [taylor]: Taking taylor expansion of 1.0 in x 4.447 * [taylor]: Taking taylor expansion of 1.0 in x 4.447 * [taylor]: Taking taylor expansion of (* x x) in x 4.447 * [taylor]: Taking taylor expansion of x in x 4.447 * [taylor]: Taking taylor expansion of x in x 4.450 * [taylor]: Taking taylor expansion of 1.0 in x 4.450 * [taylor]: Taking taylor expansion of 1.0 in x 4.471 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) 1/3) in x 4.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)))) in x 4.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2))) in x 4.471 * [taylor]: Taking taylor expansion of 1/3 in x 4.471 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2)) in x 4.471 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) 2) in x 4.471 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 4.471 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 4.471 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.471 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.471 * [taylor]: Taking taylor expansion of 0.5 in x 4.471 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.471 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.471 * [taylor]: Taking taylor expansion of 1.0 in x 4.471 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.471 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.472 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.472 * [taylor]: Taking taylor expansion of 1.0 in x 4.472 * [taylor]: Taking taylor expansion of 1.0 in x 4.472 * [taylor]: Taking taylor expansion of (* x x) in x 4.472 * [taylor]: Taking taylor expansion of x in x 4.472 * [taylor]: Taking taylor expansion of x in x 4.474 * [taylor]: Taking taylor expansion of 1.0 in x 4.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.096 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 5.096 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 5.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 5.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 5.096 * [taylor]: Taking taylor expansion of 1/3 in x 5.096 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 5.096 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 5.096 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.096 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.096 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.097 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.097 * [taylor]: Taking taylor expansion of 0.5 in x 5.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.097 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.097 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.097 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.097 * [taylor]: Taking taylor expansion of x in x 5.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.097 * [taylor]: Taking taylor expansion of x in x 5.100 * [taylor]: Taking taylor expansion of 1.0 in x 5.100 * [taylor]: Taking taylor expansion of 1.0 in x 5.103 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) 1/3) in x 5.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)))) in x 5.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2))) in x 5.103 * [taylor]: Taking taylor expansion of 1/3 in x 5.103 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2)) in x 5.103 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) 2) in x 5.103 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.104 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.104 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.104 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.104 * [taylor]: Taking taylor expansion of 0.5 in x 5.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.104 * [taylor]: Taking taylor expansion of 1.0 in x 5.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.104 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.104 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.104 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.104 * [taylor]: Taking taylor expansion of 1.0 in x 5.104 * [taylor]: Taking taylor expansion of 1.0 in x 5.104 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.104 * [taylor]: Taking taylor expansion of x in x 5.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.104 * [taylor]: Taking taylor expansion of x in x 5.107 * [taylor]: Taking taylor expansion of 1.0 in x 5.107 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [approximate]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in (x) around 0 5.167 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 5.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 5.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 5.167 * [taylor]: Taking taylor expansion of 1/3 in x 5.167 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 5.167 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 5.167 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.167 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.167 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.167 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.167 * [taylor]: Taking taylor expansion of 0.5 in x 5.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.167 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.167 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.167 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.167 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.167 * [taylor]: Taking taylor expansion of -1 in x 5.167 * [taylor]: Taking taylor expansion of x in x 5.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.168 * [taylor]: Taking taylor expansion of -1 in x 5.168 * [taylor]: Taking taylor expansion of x in x 5.171 * [taylor]: Taking taylor expansion of 1.0 in x 5.171 * [taylor]: Taking taylor expansion of 1.0 in x 5.174 * [taylor]: Taking taylor expansion of (pow (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) 1/3) in x 5.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)))) in x 5.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2))) in x 5.174 * [taylor]: Taking taylor expansion of 1/3 in x 5.174 * [taylor]: Taking taylor expansion of (log (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2)) in x 5.174 * [taylor]: Taking taylor expansion of (pow (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) 2) in x 5.174 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.174 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.174 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.174 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.174 * [taylor]: Taking taylor expansion of 0.5 in x 5.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.174 * [taylor]: Taking taylor expansion of 1.0 in x 5.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.175 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.175 * [taylor]: Taking taylor expansion of 1.0 in x 5.175 * [taylor]: Taking taylor expansion of 1.0 in x 5.175 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.175 * [taylor]: Taking taylor expansion of -1 in x 5.175 * [taylor]: Taking taylor expansion of x in x 5.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.175 * [taylor]: Taking taylor expansion of -1 in x 5.175 * [taylor]: Taking taylor expansion of x in x 5.178 * [taylor]: Taking taylor expansion of 1.0 in x 5.178 * [taylor]: Taking taylor expansion of 1.0 in x 5.236 * * * [progress]: simplifying candidates 5.237 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (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 (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))))) (log1p (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (+ 1/3 1/3) (+ 1 1) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (+ 1 1) (+ (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (* (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))) (* (cbrt (* (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 (* (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 (* (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))) (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))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (* (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 (* (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 (* (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 (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 1 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 1/3) (* 2 1) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (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))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt 1)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (* (cbrt (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 (sqrt (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)))) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (sqrt (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))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.08333333333333333 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (+ (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3) (+ (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.006944444444444444 (* (/ (pow x 4) (pow (sqrt 1.0) 8)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3))) (+ (* 0.0625 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))) (* 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 4)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3))))))) (- (+ (pow 0.25 1/3) (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3)))) (+ (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2)))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (- (+ (pow 0.25 1/3) (+ (* 0.5555555555555556 (* (/ 1 (pow x 2)) (pow 0.25 1/3))) (* 0.6666666666666666 (* (pow 0.25 1/3) (/ 1 x))))) (* 0.041666666666666664 (* (pow (/ 1 (pow 0.25 5)) 1/3) (/ 1 (pow x 2))))) 5.245 * * [simplify]: iteration 0 : 383 enodes (cost 1202 ) 5.252 * * [simplify]: iteration 1 : 1549 enodes (cost 1077 ) 5.284 * * [simplify]: iteration 2 : 5002 enodes (cost 970 ) 5.289 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (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 (* (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))))) (log1p (* (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))))) 2/3 2 (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) 2 (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 2 (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (exp 1) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4)) (pow (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (* (cbrt (* (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 (* (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 (* (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 (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 6) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (fabs (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (* (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 (* (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 (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (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))) 2/3 2 (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (* (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))) (cbrt (sqrt (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 (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (cbrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (pow (sqrt (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 4) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (+ (+ (fma (* 0.08333333333333333 (/ (pow x 4) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3) (+ (fma 0.08333333333333333 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (* 0.013888888888888888 (* (/ (pow x 4) (pow (sqrt 1.0) 7)) (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)))) (pow (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 2) 1/3))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 10)) 1/3)) (fma 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 6)) (* 0.006944444444444444 (/ (pow x 4) (pow (sqrt 1.0) 8)))))) (* (- (pow (/ 1 (pow (- 0.5 (* 0.5 (/ 1 (sqrt 1.0)))) 4)) 1/3)) (fma 0.0625 (/ (pow x 4) (pow (sqrt 1.0) 5)) (* (* (/ x 1.0) (/ x 1.0)) 0.08333333333333333)))) (- (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3)))) (- (/ (* 0.6666666666666666 (pow 0.25 1/3)) x) (pow 0.25 1/3))) (+ (fma 0.6666666666666666 (/ (pow 0.25 1/3) x) (pow 0.25 1/3)) (* (/ 1 (pow x 2)) (- (* (pow 0.25 1/3) 0.5555555555555556) (* 0.041666666666666664 (pow (/ 1 (pow 0.25 5)) 1/3))))) 5.290 * * * [progress]: adding candidates to table 5.593 * [progress]: [Phase 3 of 3] Extracting. 5.593 * * [regime]: Finding splitpoints for: (# # # #) 5.595 * * * [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) 5.595 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 5.626 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 5.645 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 5.677 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 5.696 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 5.724 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 5.738 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 5.763 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 5.794 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 5.822 * * * * [regimes]: Trying to branch on x from (# # # #) 5.857 * * * [regime]: Found split indices: #