0.763 * [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)) 0.680 * * [simplify]: iteration 0 : 228 enodes (cost 7 ) 0.680 * * [simplify]: iteration 1 : 228 enodes (cost 7 ) 0.681 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.683 * * [progress]: iteration 1 / 4 0.683 * * * [progress]: picking best candidate 0.685 * * * * [pick]: Picked # 0.685 * * * [progress]: localizing error 0.692 * * * [progress]: generating rewritten candidates 0.692 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.714 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.715 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (neg y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 1 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.717 * [taylor]: Taking taylor expansion of x in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of 1 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.721 * * * [progress]: simplifying candidates 0.722 * [simplify]: Simplifying using # : (/ (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)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.768 * * [simplify]: iteration 0 : 4808 enodes (cost 111 ) 0.768 * * [simplify]: iteration 1 : 4808 enodes (cost 111 ) 0.770 * [simplify]: Simplified to: (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)) (- (* x x) y) (- (* x x) y) (- (* x x) y) 0.770 * * * [progress]: adding candidates to table 0.787 * * [progress]: iteration 2 / 4 0.787 * * * [progress]: picking best candidate 0.790 * * * * [pick]: Picked # 0.790 * * * [progress]: localizing error 0.800 * * * [progress]: generating rewritten candidates 0.800 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.809 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.815 * * * [progress]: generating series expansions 0.815 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.816 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (x y) around 0 0.816 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.816 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.816 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.817 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.817 * [taylor]: Taking taylor expansion of -1 in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.819 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.819 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.819 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.819 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.820 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of 1 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of 1 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.825 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.825 * [taylor]: Taking taylor expansion of x in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 1 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.827 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of 1 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.829 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of 1 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.831 * * * [progress]: simplifying candidates 0.832 * [simplify]: Simplifying using # : (- (log (- (pow x 4) (* y y))) (log (+ (* x x) y))) (log (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (exp (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (/ (* (* (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (- (pow x 4) (* y y))) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y)))) (cbrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (* (* (/ (- (pow x 4) (* y y)) (+ (* x x) y)) (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (sqrt (/ (- (pow x 4) (* y y)) (+ (* x x) y))) (neg (- (pow x 4) (* y y))) (neg (+ (* x x) y)) (/ (pow x 4) (+ (* x x) y)) (/ (* y y) (+ (* x x) y)) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (sqrt (+ (* x x) y))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) 1) (/ (cbrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ (sqrt (- (pow x 4) (* y y))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt (- (pow x 4) (* y y))) (cbrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ (* x x) y))) (/ (sqrt (- (pow x 4) (* y y))) 1) (/ (sqrt (- (pow x 4) (* y y))) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) (/ 1 1) (/ (- (pow x 4) (* y y)) (+ (* x x) y)) (/ (+ (pow (sqrt x) 4) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow (sqrt x) 4) y) (cbrt (+ (* x x) y))) (/ (+ (pow (sqrt x) 4) y) (sqrt (+ (* x x) y))) (/ (- (pow (sqrt x) 4) y) (sqrt (+ (* x x) y))) (/ (+ (pow (sqrt x) 4) y) 1) (/ (- (pow (sqrt x) 4) y) (+ (* x x) y)) (/ (+ (sqrt (pow x 4)) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (sqrt (pow x 4)) y) (cbrt (+ (* x x) y))) (/ (+ (sqrt (pow x 4)) y) (sqrt (+ (* x x) y))) (/ (- (sqrt (pow x 4)) y) (sqrt (+ (* x x) y))) (/ (+ (sqrt (pow x 4)) y) 1) (/ (- (sqrt (pow x 4)) y) (+ (* x x) y)) (/ (+ (pow x (/ 4 2)) y) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x (/ 4 2)) y) (cbrt (+ (* x x) y))) (/ (+ (pow x (/ 4 2)) y) (sqrt (+ (* x x) y))) (/ (- (pow x (/ 4 2)) y) (sqrt (+ (* x x) y))) (/ (+ (pow x (/ 4 2)) y) 1) (/ (- (pow x (/ 4 2)) y) (+ (* x x) y)) (/ 1 (+ (* x x) y)) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (- (pow x 4) (* y y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (* y y)) (sqrt (+ (* x x) y))) (/ (- (pow x 4) (* y y)) 1) (/ (+ (* x x) y) (cbrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (sqrt (- (pow x 4) (* y y)))) (/ (+ (* x x) y) (- (pow x 4) (* y y))) (/ (+ (* x x) y) (- (pow (sqrt x) 4) y)) (/ (+ (* x x) y) (- (sqrt (pow x 4)) y)) (/ (+ (* x x) y) (- (pow x (/ 4 2)) y)) (/ (- (pow x 4) (* y y)) (+ (pow (* x x) 3) (pow y 3))) (/ (- (pow x 4) (* y y)) (- (* (* x x) (* x x)) (* y y))) (* (+ (* x x) y) (+ (* (pow x 4) (pow x 4)) (+ (* (* y y) (* y y)) (* (pow x 4) (* y y))))) (* (+ (* x x) y) (+ (pow x 4) (* y y))) (/ (exp (pow x 4)) (exp (* y y))) (log (- (pow x 4) (* y y))) (exp (- (pow x 4) (* y y))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))) (* (* (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (- (pow (pow x 4) 3) (pow (* y y) 3)) (+ (* (pow x 4) (pow x 4)) (+ (* (* y y) (* y y)) (* (pow x 4) (* y y)))) (neg (* y y)) (- (* (pow x 4) (pow x 4)) (* (* y y) (* y y))) (+ (pow x 4) (* y y)) (+ (pow (sqrt x) 4) y) (- (pow (sqrt x) 4) y) (+ (sqrt (pow x 4)) y) (- (sqrt (pow x 4)) y) (+ (pow x (/ 4 2)) y) (- (pow x (/ 4 2)) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) 0.877 * * [simplify]: iteration 0 : 4917 enodes (cost 932 ) 0.877 * * [simplify]: iteration 1 : 4917 enodes (cost 932 ) 0.880 * [simplify]: Simplified to: (log (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (- (* x x) y) 3) (* (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)) (- (* y y) (pow x 4)) (- (neg y) (* x x)) (/ (pow x 4) (+ y (* x x))) (* y (/ y (+ y (* x x)))) (* (cbrt (- (pow x 4) (* y y))) (/ (cbrt (- (pow x 4) (* y y))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (+ y (* x x)))) (* (cbrt (- (pow x 4) (* y y))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x))))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x)))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (/ (cbrt (- (pow x 4) (* y y))) (+ y (* x x))) (/ (sqrt (- (pow x 4) (* y y))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (sqrt (- (pow x 4) (* y y))) (cbrt (+ y (* x x)))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x)))) (/ (sqrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x)))) (sqrt (- (pow x 4) (* y y))) (/ (sqrt (- (pow x 4) (* y y))) (+ y (* x x))) (/ 1 (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (- (pow x 4) (* y y)) (cbrt (+ y (* x x)))) (/ 1 (sqrt (+ y (* x x)))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))) 1 (- (* x x) y) (/ (+ y (* x x)) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (- (* x x) y) (cbrt (+ y (* x x)))) (/ (+ y (* x x)) (sqrt (+ y (* x x)))) (/ (- (* x x) y) (sqrt (+ y (* x x)))) (+ y (* x x)) (/ (- (* x x) y) (+ y (* x x))) (/ (+ y (sqrt (pow x 4))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (- (sqrt (pow x 4)) y) (cbrt (+ y (* x x)))) (/ (+ y (sqrt (pow x 4))) (sqrt (+ y (* x x)))) (/ (- (sqrt (pow x 4)) y) (sqrt (+ y (* x x)))) (+ y (sqrt (pow x 4))) (/ (- (sqrt (pow x 4)) y) (+ y (* x x))) (/ (+ y (* x x)) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (- (* x x) y) (cbrt (+ y (* x x)))) (/ (+ y (* x x)) (sqrt (+ y (* x x)))) (/ (- (* x x) y) (sqrt (+ y (* x x)))) (+ y (* x x)) (/ (- (* x x) y) (+ y (* x x))) (/ 1 (+ y (* x x))) (/ 1 (- (* x x) y)) (/ (- (pow x 4) (* y y)) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))) (- (pow x 4) (* y y)) (/ (+ y (* x x)) (cbrt (- (pow x 4) (* y y)))) (/ (+ y (* x x)) (sqrt (- (pow x 4) (* y y)))) (/ 1 (- (* x x) y)) (/ (+ y (* x x)) (- (* x x) y)) (/ (+ y (* x x)) (- (sqrt (pow x 4)) y)) (/ (+ y (* x x)) (- (* x x) y)) (/ (- (pow x 4) (* y y)) (+ (pow x 6) (pow y 3))) 1 (* (+ y (* x x)) (+ (pow x 8) (+ (pow y 4) (* (pow x 4) (* y y))))) (* (+ y (* x x)) (+ (pow x 4) (* y y))) (exp (- (pow x 4) (* y y))) (log (- (pow x 4) (* y y))) (exp (- (pow x 4) (* y y))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))) (pow (- (pow x 4) (* y y)) 3) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y))) (- (pow x 12) (pow y 6)) (+ (pow x 8) (+ (pow y 4) (* (pow x 4) (* y y)))) (* y (neg y)) (- (pow x 8) (pow y 4)) (+ (pow x 4) (* y y)) (+ y (* x x)) (- (* x x) y) (+ y (sqrt (pow x 4))) (- (sqrt (pow x 4)) y) (+ y (* x x)) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) 0.881 * * * [progress]: adding candidates to table 0.962 * [progress]: [Phase 3 of 3] Extracting. 0.962 * * [regime]: Finding splitpoints for: (# #) 0.963 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.963 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.995 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 1.028 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 1.061 * * * * [regimes]: Trying to branch on y from (# #) 1.091 * * * * [regimes]: Trying to branch on x from (# #) 1.123 * * * [regime]: Found split indices: #