0.699 * [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)) 0.666 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.666 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.667 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.669 * * [progress]: iteration 1 / 4 0.669 * * * [progress]: picking best candidate 0.671 * * * * [pick]: Picked # 0.671 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.687 * * * [progress]: generating series expansions 0.688 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.693 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (neg y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 1 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of 1 in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * * * [progress]: simplifying candidates 0.712 * [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) 0.751 * * [simplify]: iteration 0 : 4994 enodes (cost 111 ) 0.751 * * [simplify]: iteration 1 : 4994 enodes (cost 111 ) 0.752 * [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) 0.752 * * * [progress]: adding candidates to table 0.770 * * [progress]: iteration 2 / 4 0.770 * * * [progress]: picking best candidate 0.773 * * * * [pick]: Picked # 0.773 * * * [progress]: localizing error 0.783 * * * [progress]: generating rewritten candidates 0.783 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.792 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.796 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.803 * * * [progress]: generating series expansions 0.803 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.803 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.803 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.804 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.805 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.805 * [taylor]: Taking taylor expansion of -1 in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 1 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.806 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.807 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.807 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.808 * [taylor]: Taking taylor expansion of 1 in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.810 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.810 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.810 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of 1 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.813 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.813 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of 1 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0 in y 0.817 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.817 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.817 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) 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 (/ 1 (pow y 2)) 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 (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) 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 (/ 1 (pow y 2)) 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 1 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.819 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 1 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 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 (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 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) 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 x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of 1 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * * * [progress]: simplifying candidates 0.824 * [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) (* (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))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) 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)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.857 * * [simplify]: iteration 0 : 4986 enodes (cost 1034 ) 0.857 * * [simplify]: iteration 1 : 4986 enodes (cost 1034 ) 0.861 * [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)) (neg (- (pow x 4) (* y y))) (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) (exp (+ y (* x x))) (log (+ y (* x x))) (exp (+ y (* x x))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow x 6) (pow y 3)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* 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)) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 0.862 * * * [progress]: adding candidates to table 0.956 * * [progress]: iteration 3 / 4 0.956 * * * [progress]: picking best candidate 0.960 * * * * [pick]: Picked # 0.960 * * * [progress]: localizing error 0.974 * * * [progress]: generating rewritten candidates 0.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.016 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.020 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.037 * * * [progress]: generating series expansions 1.037 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.037 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (y x) around 0 1.037 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 1.037 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 1.038 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 1.038 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (neg 1) in x 1.039 * [taylor]: Taking taylor expansion of 1 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 1.041 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.046 * [taylor]: Taking taylor expansion of 0 in x 1.047 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 1.047 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of 0 in x 1.050 * [taylor]: Taking taylor expansion of 0 in x 1.051 * [taylor]: Taking taylor expansion of 0 in x 1.052 * [taylor]: Taking taylor expansion of 0 in x 1.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.053 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) y))) (- (pow x 4) (pow y 2))) in (x y) around 0 1.053 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) y))) (- (pow x 4) (pow y 2))) in y 1.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in y 1.053 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in y 1.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.053 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) y))) (- (pow x 4) (pow y 2))) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) y))) (- (pow x 4) (pow y 2))) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (* -1 (sqrt (pow y 3))) in y 1.054 * [taylor]: Taking taylor expansion of -1 in y 1.055 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.055 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt y)) in y 1.060 * [taylor]: Taking taylor expansion of 1/2 in y 1.060 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.062 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))))) in (x y) around 0 1.062 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 1.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.062 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.062 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 1.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 1.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.064 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of 1 in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 y))) in y 1.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.065 * [taylor]: Taking taylor expansion of 1/2 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [taylor]: Taking taylor expansion of (neg (* 5/8 (/ 1 (pow y 2)))) in y 1.066 * [taylor]: Taking taylor expansion of (* 5/8 (/ 1 (pow y 2))) in y 1.066 * [taylor]: Taking taylor expansion of 5/8 in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.067 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))))) in (x y) around 0 1.067 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))))) in y 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.067 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.067 * [taylor]: Taking taylor expansion of x in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.067 * [taylor]: Taking taylor expansion of x in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))))) in x 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))))) in x 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of 1 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.069 * [taylor]: Taking taylor expansion of 1/2 in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [taylor]: Taking taylor expansion of (neg (* 5/8 (/ 1 (pow y 2)))) in y 1.070 * [taylor]: Taking taylor expansion of (* 5/8 (/ 1 (pow y 2))) in y 1.071 * [taylor]: Taking taylor expansion of 5/8 in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.071 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 1.071 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.071 * [taylor]: Taking taylor expansion of x in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 1 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.073 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of 1 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.075 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.075 * [taylor]: Taking taylor expansion of x in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of 1 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.077 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in (y x) around 0 1.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in x 1.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in y 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) y))) in y 1.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in y 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 3)) in x 1.079 * [taylor]: Taking taylor expansion of -1/2 in x 1.079 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (/ 3/8 (pow x 5)) in x 1.080 * [taylor]: Taking taylor expansion of 3/8 in x 1.080 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.081 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in (y x) around 0 1.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of 0 in x 1.082 * [taylor]: Taking taylor expansion of NAN in x 1.082 * [taylor]: Taking taylor expansion of (* NAN (+ (/ 1 (pow x 2)) (pow NAN 2))) in x 1.082 * [taylor]: Taking taylor expansion of NAN in x 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (pow NAN 2)) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (pow NAN 2) in x 1.082 * [taylor]: Taking taylor expansion of NAN in x 1.083 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in (y x) around 0 1.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of 0 in x 1.083 * [taylor]: Taking taylor expansion of NAN in x 1.084 * [taylor]: Taking taylor expansion of (* NAN (+ (/ 1 (pow x 2)) (pow NAN 2))) in x 1.084 * [taylor]: Taking taylor expansion of NAN in x 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (pow NAN 2)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (pow NAN 2) in x 1.084 * [taylor]: Taking taylor expansion of NAN in x 1.084 * * * [progress]: simplifying candidates 1.088 * [simplify]: Simplifying using # : (* (/ 1 (sqrt (+ y (* x x)))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x))))) (+ (neg (log (sqrt (+ y (* x x))))) (- (log (- (pow x 4) (* y y))) (log (sqrt (+ y (* x x)))))) (+ (neg (log (sqrt (+ y (* x x))))) (log (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))))) (+ (- 0 (log (sqrt (+ y (* x x))))) (- (log (- (pow x 4) (* y y))) (log (sqrt (+ y (* x x)))))) (+ (- 0 (log (sqrt (+ y (* 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1)) (/ (cbrt 1) (sqrt (+ y (* x x)))) (/ 1 (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))))) (/ 1 (cbrt (sqrt (+ y (* x x))))) (/ 1 (fabs (cbrt (+ y (* x x))))) (/ 1 (sqrt (cbrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ 1 (sqrt (+ y (* x x)))) (/ 1 (sqrt (sqrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ 1 (sqrt (+ y (* x x)))) (/ 1 (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))))) (/ 1 (cbrt (sqrt (+ y (* x x))))) (/ 1 (fabs (cbrt (+ y (* x x))))) (/ 1 (sqrt (cbrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ 1 (sqrt (+ y (* x x)))) (/ 1 (sqrt (sqrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ 1 (sqrt (+ y (* x x)))) (/ 1 (sqrt (+ y (* x x)))) (sqrt (+ y (* x x))) (/ 1 (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))))) (/ 1 (fabs (cbrt (+ y (* x x))))) (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ 1 (sqrt (sqrt (+ y (* x x))))) 1 (/ (sqrt (+ y (* x x))) (cbrt 1)) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (/ 1 (sqrt (+ (pow y 3) (pow x 6)))) (/ 1 (sqrt (- (* y y) (pow x 4)))) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* (* y NAN) (- (* x (* x 1/2)) y)) (* (pow y 3) (pow NAN 3))) (- (pow x 3) (+ (* 5/8 (* (/ y x) y)) (* y (* x 1/2)))) (+ (* 5/8 (* (/ y x) y)) (- (* y (* x 1/2)) (pow x 3))) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) 0 0 0 1.183 * * * [progress]: adding candidates to table 1.422 * [progress]: [Phase 3 of 3] Extracting. 1.423 * * [regime]: Finding splitpoints for: (# #) 1.424 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 1.424 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.460 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 1.492 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 1.528 * * * * [regimes]: Trying to branch on y from (# #) 1.561 * * * * [regimes]: Trying to branch on x from (# #) 1.592 * * * [regime]: Found split indices: #