0.782 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.313 * * * [progress]: [2/2] Setting up program. 0.317 * [progress]: [Phase 2 of 3] Improving. 0.319 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.717 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.719 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.720 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.721 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.722 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.722 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.724 * * [progress]: iteration 1 / 4 0.724 * * * [progress]: picking best candidate 0.727 * * * * [pick]: Picked # 0.727 * * * [progress]: localizing error 0.735 * * * [progress]: generating rewritten candidates 0.735 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.745 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.750 * * * [progress]: generating series expansions 0.750 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.755 * [approximate]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in y 0.756 * [taylor]: Taking taylor expansion of 0.5 in y 0.756 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.756 * [taylor]: Taking taylor expansion of 0.5 in x 0.756 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.756 * [taylor]: Taking taylor expansion of 0.5 in x 0.757 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.757 * [taylor]: Taking taylor expansion of -0.5 in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [taylor]: Taking taylor expansion of 0.5 in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [approximate]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.759 * [taylor]: Taking taylor expansion of 0.5 in y 0.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of 0.5 in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 y))) in y 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.760 * [taylor]: Taking taylor expansion of 0.5 in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [approximate]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.774 * [taylor]: Taking taylor expansion of 0.5 in y 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.774 * [taylor]: Taking taylor expansion of 0.5 in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.774 * [taylor]: Taking taylor expansion of 0.5 in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of 0.5 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.775 * [taylor]: Taking taylor expansion of 0.5 in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.776 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.776 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (neg y) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 1 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of 1 in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.779 * [taylor]: Taking taylor expansion of 1 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * * * [progress]: simplifying candidates 0.780 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) (+ (log 0.5) (log (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (exp (* 0.5 (- (* x x) y))) (* (* (* 0.5 0.5) 0.5) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (* (* (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y))) (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* (* x x) 0.5) (* (neg y) 0.5) (* (* x x) 0.5) (* (neg y) 0.5) (* 0.5 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* 0.5 (sqrt (- (* x x) y))) (* 0.5 1) (* 0.5 (+ x (sqrt y))) (* (cbrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* 0.5 (- (* x x) y)) (* 0.5 (- (pow (* x x) 3) (pow y 3))) (* 0.5 (- (* (* x x) (* x x)) (* y y))) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.783 * * [simplify]: iteration 0 : 151 enodes (cost 193 ) 0.787 * * [simplify]: iteration 1 : 618 enodes (cost 172 ) 0.799 * * [simplify]: iteration 2 : 2842 enodes (cost 171 ) 0.849 * * [simplify]: iteration 3 : 5002 enodes (cost 171 ) 0.851 * [simplify]: Simplified to: (* 0.5 (- (pow x 2) y)) (log (* 0.5 (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (exp (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (pow x 2) y)) 3) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (pow x 2) y)) 3) (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* 0.5 (sqrt (- (* x x) y))) 0.5 (* 0.5 (+ x (sqrt y))) (* (cbrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow (* x x) 3) (pow y 3))) (* 0.5 (+ (neg (* y y)) (pow x 4))) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)) (neg y) (+ (neg (* y y)) (pow x 4)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.851 * * * [progress]: adding candidates to table 0.894 * * [progress]: iteration 2 / 4 0.894 * * * [progress]: picking best candidate 0.899 * * * * [pick]: Picked # 0.899 * * * [progress]: localizing error 0.906 * * * [progress]: generating rewritten candidates 0.906 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.919 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.926 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.932 * * * [progress]: generating series expansions 0.932 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.932 * [approximate]: Taking taylor expansion of (* (- (pow x 2) y) (pow (sqrt 0.5) 2)) in (x y) around 0 0.932 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (pow (sqrt 0.5) 2)) in y 0.932 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.932 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.932 * [taylor]: Taking taylor expansion of 0.5 in y 0.932 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (pow (sqrt 0.5) 2)) in x 0.932 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.933 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.933 * [taylor]: Taking taylor expansion of 0.5 in x 0.933 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (pow (sqrt 0.5) 2)) in x 0.933 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.933 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.933 * [taylor]: Taking taylor expansion of 0.5 in x 0.933 * [taylor]: Taking taylor expansion of (* -1 (* y (pow (sqrt 0.5) 2))) in y 0.933 * [taylor]: Taking taylor expansion of -1 in y 0.933 * [taylor]: Taking taylor expansion of (* y (pow (sqrt 0.5) 2)) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.933 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.933 * [taylor]: Taking taylor expansion of 0.5 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.934 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.934 * [taylor]: Taking taylor expansion of 0.5 in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in (x y) around 0 0.935 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in y 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.936 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.936 * [taylor]: Taking taylor expansion of 0.5 in y 0.936 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in x 0.936 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.936 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.936 * [taylor]: Taking taylor expansion of 0.5 in x 0.936 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in x 0.936 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.936 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.936 * [taylor]: Taking taylor expansion of 0.5 in x 0.936 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.936 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.936 * [taylor]: Taking taylor expansion of 0.5 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of (neg (/ (pow (sqrt 0.5) 2) y)) in y 0.937 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) y) in y 0.937 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.937 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.937 * [taylor]: Taking taylor expansion of 0.5 in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in (x y) around 0 0.939 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in y 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.939 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.939 * [taylor]: Taking taylor expansion of 0.5 in y 0.939 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.939 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.939 * [taylor]: Taking taylor expansion of 0.5 in x 0.940 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow (sqrt 0.5) 2)) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.940 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.940 * [taylor]: Taking taylor expansion of 0.5 in x 0.940 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.940 * [taylor]: Taking taylor expansion of 0.5 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) y) in y 0.941 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.941 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.941 * [taylor]: Taking taylor expansion of 0.5 in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.942 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.942 * [approximate]: Taking taylor expansion of (* (- (pow x 2) y) (sqrt 0.5)) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (sqrt 0.5)) in y 0.942 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.942 * [taylor]: Taking taylor expansion of 0.5 in y 0.942 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (sqrt 0.5)) in x 0.942 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.942 * [taylor]: Taking taylor expansion of 0.5 in x 0.942 * [taylor]: Taking taylor expansion of (* (- (pow x 2) y) (sqrt 0.5)) in x 0.942 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.943 * [taylor]: Taking taylor expansion of (* -1 (* y (sqrt 0.5))) in y 0.943 * [taylor]: Taking taylor expansion of -1 in y 0.943 * [taylor]: Taking taylor expansion of (* y (sqrt 0.5)) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.943 * [taylor]: Taking taylor expansion of 0.5 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.943 * [taylor]: Taking taylor expansion of 0.5 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in y 0.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.944 * [taylor]: Taking taylor expansion of 0.5 in y 0.944 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in x 0.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.944 * [taylor]: Taking taylor expansion of 0.5 in x 0.944 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in x 0.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.945 * [taylor]: Taking taylor expansion of 0.5 in x 0.945 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.945 * [taylor]: Taking taylor expansion of 0.5 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of (neg (/ (sqrt 0.5) y)) in y 0.945 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) y) in y 0.945 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.945 * [taylor]: Taking taylor expansion of 0.5 in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in (x y) around 0 0.946 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.947 * [taylor]: Taking taylor expansion of 0.5 in y 0.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in x 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.947 * [taylor]: Taking taylor expansion of 0.5 in x 0.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (sqrt 0.5)) in x 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.947 * [taylor]: Taking taylor expansion of 0.5 in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.947 * [taylor]: Taking taylor expansion of 0.5 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) y) in y 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.947 * [taylor]: Taking taylor expansion of 0.5 in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.948 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.949 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.949 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (neg y) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 1 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of 1 in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of 1 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * * * [progress]: simplifying candidates 0.953 * [simplify]: Simplifying using # : (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))) (+ (log (sqrt 0.5)) (+ (log (sqrt 0.5)) (log (- (* x x) y)))) (+ (log (sqrt 0.5)) (log (* (sqrt 0.5) (- (* x x) y)))) (log (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (exp (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (* (sqrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (- (* x x) y)))) (* (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))))) (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (* (* (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (sqrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (sqrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (* (sqrt 0.5) (* (sqrt 0.5) (* x x))) (* (sqrt 0.5) (* (sqrt 0.5) (neg y))) (* (sqrt 0.5) (* (sqrt 0.5) (* x x))) (* (sqrt 0.5) (* (sqrt 0.5) (neg y))) (* (sqrt 0.5) (* (* x x) (sqrt 0.5))) (* (sqrt 0.5) (* (neg y) (sqrt 0.5))) (* (sqrt 0.5) (* (* x x) (sqrt 0.5))) (* (sqrt 0.5) (* (neg y) (sqrt 0.5))) (* (* (sqrt 0.5) (* x x)) (sqrt 0.5)) (* (* (sqrt 0.5) (neg y)) (sqrt 0.5)) (* (* (sqrt 0.5) (* x x)) (sqrt 0.5)) (* (* (sqrt 0.5) (neg y)) (sqrt 0.5)) (* (* (* x x) (sqrt 0.5)) (sqrt 0.5)) (* (* (neg y) (sqrt 0.5)) (sqrt 0.5)) (* (* (* x x) (sqrt 0.5)) (sqrt 0.5)) (* (* (neg y) (sqrt 0.5)) (sqrt 0.5)) (* (sqrt 0.5) (sqrt 0.5)) (* (cbrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (cbrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (* (sqrt 0.5) (- (pow (* x x) 3) (pow y 3)))) (* (sqrt 0.5) (* (sqrt 0.5) (- (* (* x x) (* x x)) (* y y)))) (* (sqrt 0.5) (- (* x x) y)) (+ (log (sqrt 0.5)) (log (- (* x x) y))) (log (* (sqrt 0.5) (- (* x x) y))) (exp (* (sqrt 0.5) (- (* x x) y))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (* (sqrt 0.5) (- (* x x) y))) (cbrt (* (sqrt 0.5) (- (* x x) y)))) (cbrt (* (sqrt 0.5) (- (* x x) y))) (* (* (* (sqrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt 0.5) (- (* x x) y))) (sqrt (* (sqrt 0.5) (- (* x x) y))) (sqrt (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (sqrt 0.5)) (sqrt (- (* x x) y))) (* (sqrt (sqrt 0.5)) (sqrt (- (* x x) y))) (* (sqrt (sqrt 0.5)) (sqrt (- (* x x) y))) (* (sqrt (sqrt 0.5)) (sqrt (- (* x x) y))) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (* x x) (sqrt 0.5)) (* (neg y) (sqrt 0.5)) (* (* x x) (sqrt 0.5)) (* (neg y) (sqrt 0.5)) (* (sqrt 0.5) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* (sqrt 0.5) 1) (* (sqrt 0.5) (+ x (sqrt y))) (* (cbrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt (cbrt 0.5)) (- (* x x) y)) (* (sqrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* (sqrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (pow (* x x) 3) (pow y 3))) (* (sqrt 0.5) (- (* (* x x) (* x x)) (* y y))) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (- (* (pow x 2) (pow (sqrt 0.5) 2)) (* y (pow (sqrt 0.5) 2))) (- (* (pow x 2) (pow (sqrt 0.5) 2)) (* y (pow (sqrt 0.5) 2))) (- (* (pow x 2) (pow (sqrt 0.5) 2)) (* y (pow (sqrt 0.5) 2))) (- (* (pow x 2) (sqrt 0.5)) (* y (sqrt 0.5))) (- (* (pow x 2) (sqrt 0.5)) (* y (sqrt 0.5))) (- (* (pow x 2) (sqrt 0.5)) (* y (sqrt 0.5))) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.958 * * [simplify]: iteration 0 : 234 enodes (cost 445 ) 0.963 * * [simplify]: iteration 1 : 1121 enodes (cost 390 ) 0.987 * * [simplify]: iteration 2 : 5002 enodes (cost 385 ) 0.990 * [simplify]: Simplified to: (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (log (* 0.5 (- (pow x 2) y))) (log (* 0.5 (- (pow x 2) y))) (log (* 0.5 (- (pow x 2) y))) (pow (exp 0.5) (- (pow x 2) y)) (pow (* 0.5 (- (pow x 2) y)) 3) (pow (* 0.5 (- (pow x 2) y)) 3) (* (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y))))) (cbrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (pow (* 0.5 (- (pow x 2) y)) 3) (sqrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (sqrt (* (sqrt 0.5) (* (sqrt 0.5) (- (* x x) y)))) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) (* 0.5 (pow x 2)) (* 0.5 (neg y)) 0.5 (* (cbrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (cbrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* 0.5 (- (pow x 2) y)) (* (sqrt (sqrt 0.5)) (* (sqrt 0.5) (- (* x x) y))) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow (* x x) 3) (pow y 3))) (* 0.5 (+ (neg (* y y)) (pow x 4))) (* (sqrt 0.5) (- (pow x 2) y)) (log (* (sqrt 0.5) (- (* x x) y))) (log (* (sqrt 0.5) (- (* x x) y))) (exp (* (sqrt 0.5) (- (* x x) y))) (pow (* (sqrt 0.5) (- (pow x 2) y)) 3) (* (cbrt (* (sqrt 0.5) (- (* x x) y))) (cbrt (* (sqrt 0.5) (- (* x x) y)))) (cbrt (* (sqrt 0.5) (- (* x x) y))) (pow (* (sqrt 0.5) (- (pow x 2) y)) 3) (sqrt (* (sqrt 0.5) (- (* x x) y))) (sqrt (* (sqrt 0.5) (- (* x x) y))) (* (sqrt (- (* x x) y)) (pow (sqrt 0.5) 1/2)) (* (sqrt (- (* x x) y)) (pow (sqrt 0.5) 1/2)) (* (sqrt (- (* x x) y)) (pow (sqrt 0.5) 1/2)) (* (sqrt (- (* x x) y)) (pow (sqrt 0.5) 1/2)) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (sqrt 0.5) (* x x)) (* (sqrt 0.5) (neg y)) (* (sqrt 0.5) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (sqrt 0.5) (* (sqrt 0.5) (+ x (sqrt y))) (* (cbrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt (cbrt 0.5)) (- (* x x) y)) (* (sqrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt 0.5) (- (pow x 2) y)) (* (sqrt (sqrt 0.5)) (- (* x x) y)) (* (sqrt 0.5) (- (pow x 2) y)) (* (sqrt 0.5) (- (pow (* x x) 3) (pow y 3))) (* (sqrt 0.5) (+ (neg (* y y)) (pow x 4))) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)) (neg y) (+ (neg (* y y)) (pow x 4)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (* (sqrt 0.5) (- (pow x 2) y)) (* (sqrt 0.5) (- (pow x 2) y)) (* (sqrt 0.5) (- (pow x 2) y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.990 * * * [progress]: adding candidates to table 1.080 * * [progress]: iteration 3 / 4 1.080 * * * [progress]: picking best candidate 1.083 * * * * [pick]: Picked # 1.083 * * * [progress]: localizing error 1.089 * * * [progress]: generating rewritten candidates 1.089 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.106 * * * [progress]: generating series expansions 1.106 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.106 * [approximate]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in (x y) around 0 1.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in y 1.106 * [taylor]: Taking taylor expansion of 0.5 in y 1.106 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 1.106 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 1.107 * [taylor]: Taking taylor expansion of x in y 1.107 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in x 1.107 * [taylor]: Taking taylor expansion of 0.5 in x 1.107 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 1.107 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in x 1.107 * [taylor]: Taking taylor expansion of 0.5 in x 1.107 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 1.107 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 1.107 * [taylor]: Taking taylor expansion of -0.5 in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 0.5 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.109 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in (x y) around 0 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in y 1.109 * [taylor]: Taking taylor expansion of 0.5 in y 1.109 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in x 1.109 * [taylor]: Taking taylor expansion of 0.5 in x 1.109 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in x 1.109 * [taylor]: Taking taylor expansion of 0.5 in x 1.109 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of 0.5 in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 y))) in y 1.110 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.110 * [taylor]: Taking taylor expansion of 0.5 in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.113 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 1.113 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 1.113 * [taylor]: Taking taylor expansion of -0.5 in y 1.113 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in y 1.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.113 * [taylor]: Taking taylor expansion of -1 in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.113 * [taylor]: Taking taylor expansion of -1 in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 1.113 * [taylor]: Taking taylor expansion of -0.5 in x 1.113 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 1.114 * [taylor]: Taking taylor expansion of -0.5 in x 1.114 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 1.114 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of 0.5 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [taylor]: Taking taylor expansion of (neg (* 0.5 (pow (sqrt (/ -1 y)) 2))) in y 1.115 * [taylor]: Taking taylor expansion of (* 0.5 (pow (sqrt (/ -1 y)) 2)) in y 1.115 * [taylor]: Taking taylor expansion of 0.5 in y 1.115 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.115 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.115 * [taylor]: Taking taylor expansion of -1 in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.118 * [approximate]: Taking taylor expansion of (+ x (sqrt y)) in (x y) around 0 1.118 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 1.118 * [taylor]: Taking taylor expansion of x in y 1.118 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.118 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 1.119 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 1 in y 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.121 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.121 * [taylor]: Taking taylor expansion of -1 in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.121 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.121 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.121 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.121 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (neg 1) in y 1.122 * [taylor]: Taking taylor expansion of 1 in y 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.122 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.122 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.122 * * * [progress]: simplifying candidates 1.123 * [simplify]: Simplifying using # : (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y))) (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y))) (+ (+ (log 0.5) (log (+ x (sqrt y)))) (log (- x (sqrt y)))) (+ (log (* 0.5 (+ x (sqrt y)))) (log (- x (sqrt y)))) (log (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (exp (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y)))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y)))) (* (* (* (* 0.5 (+ x (sqrt y))) (* 0.5 (+ x (sqrt y)))) (* 0.5 (+ x (sqrt y)))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y)))) (* (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y))))) (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (* (* (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y))) (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (sqrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (sqrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ x (sqrt y))) (* (* 0.5 (- (* x x) (* (sqrt y) (sqrt y)))) (- (pow x 3) (pow (sqrt y) 3))) (* (- x (sqrt y)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (* 0.5 (- (* x x) (* (sqrt y) (sqrt y)))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (- x (sqrt y)) (+ x (sqrt y))) (* (* 0.5 (+ x (sqrt y))) x) (* (* 0.5 (+ x (sqrt y))) (neg (sqrt y))) (* (* 0.5 (+ x (sqrt y))) x) (* (* 0.5 (+ x (sqrt y))) (neg (sqrt y))) (* x (* 0.5 (+ x (sqrt y)))) (* (neg (sqrt y)) (* 0.5 (+ x (sqrt y)))) (* x (* 0.5 (+ x (sqrt y)))) (* (neg (sqrt y)) (* 0.5 (+ x (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (* 0.5 (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) 1) (* (* 0.5 (+ x (sqrt y))) (+ (sqrt x) (sqrt (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) (+ (sqrt x) (sqrt (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) 1) (* (+ x (sqrt y)) (- x (sqrt y))) (* (* 0.5 (+ x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3))) (* (* 0.5 (+ x (sqrt y))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- x (sqrt y))) (* (* 0.5 (- (* x x) (* (sqrt y) (sqrt y)))) (- x (sqrt y))) (* (exp x) (exp (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y)) (+ x (sqrt y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (+ (* 0.5 (pow x 2)) (* 1.0 (/ (pow NAN 4) y))) (* 0.5 (pow NAN 2))) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) 1.127 * * [simplify]: iteration 0 : 336 enodes (cost 384 ) 1.134 * * [simplify]: iteration 1 : 1954 enodes (cost 316 ) 1.169 * * [simplify]: iteration 2 : 5002 enodes (cost 312 ) 1.172 * [simplify]: Simplified to: (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (+ (log 0.5) (log (- (pow x 2) y))) (+ (log 0.5) (log (- (pow x 2) y))) (+ (log 0.5) (log (- (pow x 2) y))) (pow (exp 0.5) (- (pow x 2) y)) (pow (* 0.5 (- (pow x 2) y)) 3) (pow (* 0.5 (- (pow x 2) y)) 3) (* (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y))))) (cbrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (pow (* 0.5 (- (pow x 2) y)) 3) (sqrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (sqrt (* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (+ (pow x 2) y) (* x (sqrt y))) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- (pow x 2) y)) (* (+ x (sqrt y)) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (* 0.5 (- (pow x 2) y)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (+ (pow x 2) y) (* x (sqrt y))) (- x (sqrt y))) (* (* 0.5 (- (pow x 2) y)) (- (pow x 2) y)) (- (pow x 2) y) (* (* 0.5 (+ x (sqrt y))) x) (* (neg (+ (* x (sqrt y)) y)) 0.5) (* (* 0.5 (+ x (sqrt y))) x) (* (neg (+ (* x (sqrt y)) y)) 0.5) (* (* 0.5 (+ x (sqrt y))) x) (* (neg (+ (* x (sqrt y)) y)) 0.5) (* (* 0.5 (+ x (sqrt y))) x) (* (neg (+ (* x (sqrt y)) y)) 0.5) (* (* 0.5 (+ x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (* 0.5 (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* 0.5 (+ x (sqrt y))) (* (* 0.5 (+ x (sqrt y))) (+ (sqrt x) (sqrt (sqrt y)))) (* (* 0.5 (+ x (sqrt y))) (+ (sqrt x) (sqrt (sqrt y)))) (* 0.5 (+ x (sqrt y))) (- (pow x 2) y) (* (* 0.5 (+ x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3))) (* (* 0.5 (+ x (sqrt y))) (- (pow x 2) y)) (* (* 0.5 (+ (pow x 3) (pow (sqrt y) 3))) (- x (sqrt y))) (* (* 0.5 (- (pow x 2) y)) (- x (sqrt y))) (exp (+ x (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (pow (+ x (sqrt y)) 3) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (- (+ (pow x 2) y) (* x (sqrt y))) (- (pow x 2) y) (- x (sqrt y)) (+ x (sqrt y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (- (+ (* 0.5 (pow x 2)) (* 1.0 (/ (pow NAN 4) y))) (* 0.5 (pow NAN 2))) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) 1.172 * * * [progress]: adding candidates to table 1.224 * [progress]: [Phase 3 of 3] Extracting. 1.225 * * [regime]: Finding splitpoints for: (# # #) 1.226 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 1.226 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.263 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# # #) 1.299 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# # #) 1.337 * * * * [regimes]: Trying to branch on y from (# # #) 1.374 * * * * [regimes]: Trying to branch on x from (# # #) 1.408 * * * [regime]: Found split indices: #