0.732 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.241 * * * [progress]: [2/2] Setting up program. 0.245 * [progress]: [Phase 2 of 3] Improving. 0.247 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.678 * * [simplify]: iteration 0 : 228 enodes (cost 7 ) 0.678 * * [simplify]: iteration 1 : 228 enodes (cost 7 ) 0.679 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.682 * * [progress]: iteration 1 / 4 0.682 * * * [progress]: picking best candidate 0.684 * * * * [pick]: Picked # 0.684 * * * [progress]: localizing error 0.691 * * * [progress]: generating rewritten candidates 0.691 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.699 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.715 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.720 * [approximate]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in y 0.721 * [taylor]: Taking taylor expansion of 0.5 in y 0.721 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.721 * [taylor]: Taking taylor expansion of 0.5 in x 0.721 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.722 * [taylor]: Taking taylor expansion of 0.5 in x 0.722 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.722 * [taylor]: Taking taylor expansion of -0.5 in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of 0.5 in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [approximate]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.724 * [taylor]: Taking taylor expansion of 0.5 in y 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.724 * [taylor]: Taking taylor expansion of 0.5 in x 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 y))) in y 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [approximate]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.727 * [taylor]: Taking taylor expansion of 0.5 in y 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.727 * [taylor]: Taking taylor expansion of 0.5 in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.727 * [taylor]: Taking taylor expansion of 0.5 in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of 0.5 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.728 * [taylor]: Taking taylor expansion of 0.5 in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.729 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.729 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (neg y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of 1 in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * * * [progress]: simplifying candidates 0.733 * [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)) (* (* 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)) (- (* 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) 0.772 * * [simplify]: iteration 0 : 5172 enodes (cost 329 ) 0.774 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) (log (* 0.5 (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (pow (exp (- (* x x) y)) 0.5) (pow (* 0.5 (- (* x x) y)) 3) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (* x x) 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 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* 0.5 (sqrt (- (* x x) y))) 0.5 (* 0.5 (+ x (sqrt y))) (* (- (* x x) y) (cbrt 0.5)) (* (- (* x x) y) (sqrt 0.5)) (* 0.5 (- (* x x) y)) (* 0.5 (- (pow x 6) (pow y 3))) (* 0.5 (- (pow x 4) (* y y))) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (neg y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y)) (- (* x x) y) (- (* x x) y) (- (* x x) y) 0.774 * * * [progress]: adding candidates to table 0.809 * * [progress]: iteration 2 / 4 0.809 * * * [progress]: picking best candidate 0.811 * * * * [pick]: Picked # 0.812 * * * [progress]: localizing error 0.819 * * * [progress]: generating rewritten candidates 0.819 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.834 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.839 * * * [progress]: generating series expansions 0.839 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.839 * [approximate]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in y 0.839 * [taylor]: Taking taylor expansion of 0.5 in y 0.839 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.839 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in x 0.840 * [taylor]: Taking taylor expansion of 0.5 in x 0.840 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.840 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (* 0.5 (* (- x (sqrt y)) (+ x (sqrt y)))) in x 0.840 * [taylor]: Taking taylor expansion of 0.5 in x 0.840 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.840 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.840 * [taylor]: Taking taylor expansion of -0.5 in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of 0.5 in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in (x y) around 0 0.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in y 0.842 * [taylor]: Taking taylor expansion of 0.5 in y 0.842 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.842 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in x 0.842 * [taylor]: Taking taylor expansion of 0.5 in x 0.842 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.842 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x)))) in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in x 0.843 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 y))) in y 0.844 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.844 * [taylor]: Taking taylor expansion of 0.5 in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.846 * [taylor]: Taking taylor expansion of -0.5 in y 0.846 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in y 0.846 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.846 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.846 * [taylor]: Taking taylor expansion of -1 in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.846 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.846 * [taylor]: Taking taylor expansion of -1 in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of -0.5 in x 0.847 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of -0.5 in x 0.847 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.848 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.848 * [taylor]: Taking taylor expansion of -1 in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 0.5 in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of (neg (* 0.5 (pow (sqrt (/ -1 y)) 2))) in y 0.848 * [taylor]: Taking taylor expansion of (* 0.5 (pow (sqrt (/ -1 y)) 2)) in y 0.848 * [taylor]: Taking taylor expansion of 0.5 in y 0.848 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.849 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.849 * [taylor]: Taking taylor expansion of -1 in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.852 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.852 * [approximate]: Taking taylor expansion of (+ x (sqrt y)) in (x y) around 0 0.852 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 1 in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.854 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1 in y 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.855 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.855 * [taylor]: Taking taylor expansion of -1 in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (neg 1) in y 0.856 * [taylor]: Taking taylor expansion of 1 in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.856 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.856 * [taylor]: Taking taylor expansion of -1 in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * * * [progress]: simplifying candidates 0.857 * [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))) (* 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)) 0.904 * * [simplify]: iteration 0 : 4966 enodes (cost 516 ) 0.904 * * [simplify]: iteration 1 : 4966 enodes (cost 516 ) 0.906 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y)) (log (* 0.5 (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (pow (exp 0.5) (- (* x x) y)) (pow (* 0.5 (- (* x x) y)) 3) (pow (* 0.5 (- (* x x) y)) 3) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (* x x) y)) 3) (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (* 0.5 (* (+ (pow x 3) (pow y 3/2)) (- (pow x 3) (pow y 3/2)))) (* (+ y (* x (- x (sqrt y)))) (+ y (* x (+ x (sqrt y))))) (* 0.5 (* (+ (pow x 3) (pow y 3/2)) (- (* x x) y))) (* (+ x (sqrt y)) (+ y (* x (- x (sqrt y))))) (* 0.5 (* (- (pow x 3) (pow y 3/2)) (- (* x x) y))) (* (- x (sqrt y)) (+ y (* x (+ x (sqrt y))))) (* 0.5 (* (- (* x x) y) (- (* x x) y))) (- (* x x) y) (* 0.5 (* x (+ x (sqrt y)))) (* 0.5 (- (* x (neg (sqrt y))) y)) (* 0.5 (* x (+ x (sqrt y)))) (* 0.5 (- (* x (neg (sqrt y))) 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))) (* 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))) (- (* x x) y) (* 0.5 (* (+ x (sqrt y)) (- (pow x 3) (pow y 3/2)))) (* 0.5 (* (+ x (sqrt y)) (- (* x x) y))) (* 0.5 (* (- x (sqrt y)) (+ (pow x 3) (pow y 3/2)))) (* 0.5 (* (- x (sqrt y)) (- (* x x) 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 y 3/2)) (+ y (* x (- x (sqrt y)))) (- (* x x) y) (- x (sqrt y)) (+ x (sqrt y)) (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y)) (+ (* 1.0 (/ (pow NAN 4) y)) (* 0.5 (- (* x x) (* NAN NAN)))) (+ x (* y (+ NAN (* y (pow NAN 3))))) (+ x (+ NAN (/ (pow NAN 3) y))) (+ x (- NAN (/ (pow NAN 3) y))) 0.907 * * * [progress]: adding candidates to table 0.953 * [progress]: [Phase 3 of 3] Extracting. 0.953 * * [regime]: Finding splitpoints for: (# #) 0.954 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.954 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.984 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 1.017 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 1.048 * * * * [regimes]: Trying to branch on y from (# #) 1.078 * * * * [regimes]: Trying to branch on x from (# #) 1.109 * * * [regime]: Found split indices: #