19.290 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.034 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.035 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.037 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.041 * * [simplify]: iteration 3 : 36 enodes (cost 9 ) 0.046 * * [simplify]: iteration 4 : 44 enodes (cost 9 ) 0.052 * * [simplify]: iteration 5 : 45 enodes (cost 9 ) 0.058 * * [simplify]: iteration done : 45 enodes (cost 9 ) 0.058 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.081 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.082 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of 3 in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of 3 in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.082 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of 3 in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of 3 in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.084 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 3 in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 3 in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 3 in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of 3 in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of 3 in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 3 in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of 3 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of 3 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of 3 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of 3 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.089 * [taylor]: Taking taylor expansion of 3 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.090 * [taylor]: Taking taylor expansion of 3 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.090 * [taylor]: Taking taylor expansion of 3 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of 3 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.257 * * * [progress]: simplifying candidates 0.257 * [simplify]: Simplifying using # : (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* x x)) (exp (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)) (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))) (- (* x x) (* 3 (* y y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.259 * * [simplify]: iteration 0 : 57 enodes (cost 370 ) 0.271 * * [simplify]: iteration 1 : 160 enodes (cost 340 ) 0.339 * * [simplify]: iteration 2 : 523 enodes (cost 296 ) 0.581 * * [simplify]: iteration 3 : 1328 enodes (cost 288 ) 1.439 * * [simplify]: iteration 4 : 3135 enodes (cost 288 ) 2.850 * * [simplify]: iteration done : 5000 enodes (cost 288 ) 2.850 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (pow (+ (* x x) (* 3 (* y y))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 2.850 * * * [progress]: adding candidates to table 2.890 * * [progress]: iteration 2 / 4 2.890 * * * [progress]: picking best candidate 2.906 * * * * [pick]: Picked # 2.906 * * * [progress]: localizing error 2.915 * * * [progress]: generating rewritten candidates 2.915 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.921 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.926 * * * [progress]: generating series expansions 2.926 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.926 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 2.926 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.926 * [taylor]: Taking taylor expansion of 3 in y 2.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.926 * [taylor]: Taking taylor expansion of y in y 2.926 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.926 * [taylor]: Taking taylor expansion of 3 in y 2.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.926 * [taylor]: Taking taylor expansion of y in y 2.927 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 2.927 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.927 * [taylor]: Taking taylor expansion of 3 in y 2.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.927 * [taylor]: Taking taylor expansion of y in y 2.927 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.927 * [taylor]: Taking taylor expansion of 3 in y 2.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.927 * [taylor]: Taking taylor expansion of y in y 2.928 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 2.928 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.928 * [taylor]: Taking taylor expansion of 3 in y 2.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.928 * [taylor]: Taking taylor expansion of y in y 2.928 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.928 * [taylor]: Taking taylor expansion of 3 in y 2.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.928 * [taylor]: Taking taylor expansion of y in y 2.929 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.929 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.929 * [taylor]: Taking taylor expansion of x in y 2.929 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.929 * [taylor]: Taking taylor expansion of 3 in y 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.929 * [taylor]: Taking taylor expansion of y in y 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.929 * [taylor]: Taking taylor expansion of 3 in x 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.929 * [taylor]: Taking taylor expansion of y in x 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.929 * [taylor]: Taking taylor expansion of 3 in x 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.929 * [taylor]: Taking taylor expansion of y in x 2.930 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.930 * [taylor]: Taking taylor expansion of 3 in y 2.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.930 * [taylor]: Taking taylor expansion of y in y 2.930 * [taylor]: Taking taylor expansion of 0 in y 2.930 * [taylor]: Taking taylor expansion of 1 in y 2.930 * [taylor]: Taking taylor expansion of 0 in y 2.931 * [taylor]: Taking taylor expansion of 0 in y 2.931 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.931 * [taylor]: Taking taylor expansion of x in y 2.931 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.931 * [taylor]: Taking taylor expansion of 3 in y 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.931 * [taylor]: Taking taylor expansion of y in y 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.931 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.931 * [taylor]: Taking taylor expansion of 3 in x 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.931 * [taylor]: Taking taylor expansion of y in x 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.931 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.931 * [taylor]: Taking taylor expansion of 3 in x 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.932 * [taylor]: Taking taylor expansion of y in x 2.932 * [taylor]: Taking taylor expansion of 1 in y 2.932 * [taylor]: Taking taylor expansion of 0 in y 2.932 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.932 * [taylor]: Taking taylor expansion of 3 in y 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [taylor]: Taking taylor expansion of 0 in y 2.933 * [taylor]: Taking taylor expansion of 0 in y 2.933 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.934 * [taylor]: Taking taylor expansion of x in y 2.934 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.934 * [taylor]: Taking taylor expansion of 3 in y 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.934 * [taylor]: Taking taylor expansion of y in y 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.934 * [taylor]: Taking taylor expansion of x in x 2.934 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.934 * [taylor]: Taking taylor expansion of 3 in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.934 * [taylor]: Taking taylor expansion of y in x 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.934 * [taylor]: Taking taylor expansion of x in x 2.934 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.934 * [taylor]: Taking taylor expansion of 3 in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.934 * [taylor]: Taking taylor expansion of y in x 2.934 * [taylor]: Taking taylor expansion of 1 in y 2.934 * [taylor]: Taking taylor expansion of 0 in y 2.935 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.935 * [taylor]: Taking taylor expansion of 3 in y 2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.935 * [taylor]: Taking taylor expansion of y in y 2.935 * [taylor]: Taking taylor expansion of 0 in y 2.936 * [taylor]: Taking taylor expansion of 0 in y 2.936 * * * [progress]: simplifying candidates 2.936 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 2.938 * * [simplify]: iteration 0 : 59 enodes (cost 365 ) 2.950 * * [simplify]: iteration 1 : 175 enodes (cost 335 ) 3.047 * * [simplify]: iteration 2 : 692 enodes (cost 291 ) 3.704 * * [simplify]: iteration 3 : 2560 enodes (cost 281 ) 4.927 * * [simplify]: iteration done : 5000 enodes (cost 281 ) 4.927 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (pow y 6) 27) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (* y y) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (* x x) (* (* 3 y) y)) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow x 6) (* (pow y 6) 27)) (+ (pow x 4) (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x)))) (- (pow x 4) (* (pow y 4) 9)) (- (* x x) (* (* 3 y) y)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y)) 4.927 * * * [progress]: adding candidates to table 4.962 * * [progress]: iteration 3 / 4 4.962 * * * [progress]: picking best candidate 4.976 * * * * [pick]: Picked # 4.976 * * * [progress]: localizing error 4.983 * * * [progress]: generating rewritten candidates 4.983 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.993 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.000 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 5.005 * * * [progress]: generating series expansions 5.005 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.005 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 5.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 5.005 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.005 * [taylor]: Taking taylor expansion of x in y 5.005 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 5.005 * [taylor]: Taking taylor expansion of 3 in y 5.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.005 * [taylor]: Taking taylor expansion of y in y 5.006 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 5.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.006 * [taylor]: Taking taylor expansion of x in x 5.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 5.006 * [taylor]: Taking taylor expansion of 3 in x 5.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.006 * [taylor]: Taking taylor expansion of y in x 5.006 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 5.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.006 * [taylor]: Taking taylor expansion of x in x 5.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 5.006 * [taylor]: Taking taylor expansion of 3 in x 5.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.006 * [taylor]: Taking taylor expansion of y in x 5.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 5.006 * [taylor]: Taking taylor expansion of 3 in y 5.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.006 * [taylor]: Taking taylor expansion of y in y 5.006 * [taylor]: Taking taylor expansion of 0 in y 5.006 * [taylor]: Taking taylor expansion of 1 in y 5.007 * [taylor]: Taking taylor expansion of 0 in y 5.007 * [taylor]: Taking taylor expansion of 0 in y 5.007 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.007 * [taylor]: Taking taylor expansion of x in y 5.007 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.007 * [taylor]: Taking taylor expansion of 3 in y 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.007 * [taylor]: Taking taylor expansion of y in y 5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.008 * [taylor]: Taking taylor expansion of 3 in x 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.008 * [taylor]: Taking taylor expansion of y in x 5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.008 * [taylor]: Taking taylor expansion of 3 in x 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.008 * [taylor]: Taking taylor expansion of y in x 5.008 * [taylor]: Taking taylor expansion of 1 in y 5.008 * [taylor]: Taking taylor expansion of 0 in y 5.008 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.008 * [taylor]: Taking taylor expansion of 3 in y 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.008 * [taylor]: Taking taylor expansion of y in y 5.009 * [taylor]: Taking taylor expansion of 0 in y 5.009 * [taylor]: Taking taylor expansion of 0 in y 5.010 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 5.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.010 * [taylor]: Taking taylor expansion of x in y 5.010 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.010 * [taylor]: Taking taylor expansion of 3 in y 5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.010 * [taylor]: Taking taylor expansion of y in y 5.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.010 * [taylor]: Taking taylor expansion of x in x 5.010 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.010 * [taylor]: Taking taylor expansion of 3 in x 5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.011 * [taylor]: Taking taylor expansion of y in x 5.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 5.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.011 * [taylor]: Taking taylor expansion of x in x 5.011 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.011 * [taylor]: Taking taylor expansion of 3 in x 5.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.011 * [taylor]: Taking taylor expansion of y in x 5.011 * [taylor]: Taking taylor expansion of 1 in y 5.011 * [taylor]: Taking taylor expansion of 0 in y 5.011 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.011 * [taylor]: Taking taylor expansion of 3 in y 5.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.011 * [taylor]: Taking taylor expansion of y in y 5.012 * [taylor]: Taking taylor expansion of 0 in y 5.012 * [taylor]: Taking taylor expansion of 0 in y 5.013 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.013 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 5.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 5.013 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.013 * [taylor]: Taking taylor expansion of x in y 5.013 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 5.013 * [taylor]: Taking taylor expansion of 2 in y 5.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.013 * [taylor]: Taking taylor expansion of y in y 5.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 5.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.013 * [taylor]: Taking taylor expansion of x in x 5.013 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 5.013 * [taylor]: Taking taylor expansion of 2 in x 5.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.013 * [taylor]: Taking taylor expansion of y in x 5.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 5.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.013 * [taylor]: Taking taylor expansion of x in x 5.013 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 5.013 * [taylor]: Taking taylor expansion of 2 in x 5.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.013 * [taylor]: Taking taylor expansion of y in x 5.013 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 5.013 * [taylor]: Taking taylor expansion of 2 in y 5.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.013 * [taylor]: Taking taylor expansion of y in y 5.013 * [taylor]: Taking taylor expansion of 0 in y 5.014 * [taylor]: Taking taylor expansion of 1 in y 5.014 * [taylor]: Taking taylor expansion of 0 in y 5.014 * [taylor]: Taking taylor expansion of 0 in y 5.014 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 5.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.015 * [taylor]: Taking taylor expansion of x in y 5.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.015 * [taylor]: Taking taylor expansion of 2 in y 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.015 * [taylor]: Taking taylor expansion of y in y 5.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.015 * [taylor]: Taking taylor expansion of x in x 5.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.015 * [taylor]: Taking taylor expansion of 2 in x 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.015 * [taylor]: Taking taylor expansion of y in x 5.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.015 * [taylor]: Taking taylor expansion of x in x 5.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.015 * [taylor]: Taking taylor expansion of 2 in x 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.015 * [taylor]: Taking taylor expansion of y in x 5.015 * [taylor]: Taking taylor expansion of 1 in y 5.015 * [taylor]: Taking taylor expansion of 0 in y 5.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.016 * [taylor]: Taking taylor expansion of 2 in y 5.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.016 * [taylor]: Taking taylor expansion of y in y 5.016 * [taylor]: Taking taylor expansion of 0 in y 5.017 * [taylor]: Taking taylor expansion of 0 in y 5.017 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 5.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 5.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.017 * [taylor]: Taking taylor expansion of x in y 5.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.017 * [taylor]: Taking taylor expansion of 2 in y 5.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.017 * [taylor]: Taking taylor expansion of y in y 5.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.018 * [taylor]: Taking taylor expansion of 2 in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.018 * [taylor]: Taking taylor expansion of y in x 5.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.018 * [taylor]: Taking taylor expansion of 2 in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.018 * [taylor]: Taking taylor expansion of y in x 5.018 * [taylor]: Taking taylor expansion of 1 in y 5.018 * [taylor]: Taking taylor expansion of 0 in y 5.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.019 * [taylor]: Taking taylor expansion of 2 in y 5.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.019 * [taylor]: Taking taylor expansion of y in y 5.019 * [taylor]: Taking taylor expansion of 0 in y 5.020 * [taylor]: Taking taylor expansion of 0 in y 5.020 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 5.020 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 5.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.020 * [taylor]: Taking taylor expansion of x in y 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.020 * [taylor]: Taking taylor expansion of y in y 5.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.020 * [taylor]: Taking taylor expansion of x in x 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.020 * [taylor]: Taking taylor expansion of y in x 5.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.020 * [taylor]: Taking taylor expansion of x in x 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.020 * [taylor]: Taking taylor expansion of y in x 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.020 * [taylor]: Taking taylor expansion of y in y 5.020 * [taylor]: Taking taylor expansion of 0 in y 5.021 * [taylor]: Taking taylor expansion of 1 in y 5.021 * [taylor]: Taking taylor expansion of 0 in y 5.021 * [taylor]: Taking taylor expansion of 0 in y 5.021 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.021 * [taylor]: Taking taylor expansion of x in y 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.021 * [taylor]: Taking taylor expansion of y in y 5.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.021 * [taylor]: Taking taylor expansion of x in x 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.022 * [taylor]: Taking taylor expansion of y in x 5.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.022 * [taylor]: Taking taylor expansion of x in x 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.022 * [taylor]: Taking taylor expansion of y in x 5.022 * [taylor]: Taking taylor expansion of 1 in y 5.022 * [taylor]: Taking taylor expansion of 0 in y 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.022 * [taylor]: Taking taylor expansion of y in y 5.023 * [taylor]: Taking taylor expansion of 0 in y 5.023 * [taylor]: Taking taylor expansion of 0 in y 5.023 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.023 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.023 * [taylor]: Taking taylor expansion of x in y 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.024 * [taylor]: Taking taylor expansion of y in y 5.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.024 * [taylor]: Taking taylor expansion of x in x 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.024 * [taylor]: Taking taylor expansion of y in x 5.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.024 * [taylor]: Taking taylor expansion of x in x 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.024 * [taylor]: Taking taylor expansion of y in x 5.024 * [taylor]: Taking taylor expansion of 1 in y 5.024 * [taylor]: Taking taylor expansion of 0 in y 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.024 * [taylor]: Taking taylor expansion of y in y 5.025 * [taylor]: Taking taylor expansion of 0 in y 5.025 * [taylor]: Taking taylor expansion of 0 in y 5.026 * * * [progress]: simplifying candidates 5.026 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 5.029 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 5.050 * * [simplify]: iteration 1 : 218 enodes (cost 667 ) 5.154 * * [simplify]: iteration 2 : 804 enodes (cost 591 ) 5.562 * * [simplify]: iteration 3 : 2479 enodes (cost 513 ) 6.473 * * [simplify]: iteration done : 5000 enodes (cost 513 ) 6.474 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow y 6) (pow (+ (pow x 2) (* 2 (pow y 2))) 3)) (+ (pow y 4) (* (+ (* x x) (pow y 2)) (+ (* 2 (pow y 2)) (pow x 2)))) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (* x x) (pow y 2))) (+ (* x x) (pow y 2)) (* 2 (* y y)) (exp (+ (* 2 (pow y 2)) (pow x 2))) (exp (+ (* 2 (pow y 2)) (pow x 2))) (log (+ (* 2 (pow y 2)) (pow x 2))) (exp (+ (* 2 (pow y 2)) (pow x 2))) (* (cbrt (+ (* 2 (pow y 2)) (pow x 2))) (cbrt (+ (* 2 (pow y 2)) (pow x 2)))) (cbrt (+ (* 2 (pow y 2)) (pow x 2))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (* (* x x) (+ (* x x) (* y y))) (pow y 4)) (* (* x x) (+ (* 2 (pow y 2)) (pow x 2))) (* x x) (* 2 (* y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) 6.474 * * * [progress]: adding candidates to table 6.538 * * [progress]: iteration 4 / 4 6.538 * * * [progress]: picking best candidate 6.550 * * * * [pick]: Picked # 6.550 * * * [progress]: localizing error 6.558 * * * [progress]: generating rewritten candidates 6.558 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.562 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.579 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.589 * * * [progress]: generating series expansions 6.589 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.589 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 6.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 6.589 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.589 * [taylor]: Taking taylor expansion of x in y 6.589 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.589 * [taylor]: Taking taylor expansion of 3 in y 6.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.589 * [taylor]: Taking taylor expansion of y in y 6.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 6.589 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.589 * [taylor]: Taking taylor expansion of x in x 6.589 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.589 * [taylor]: Taking taylor expansion of 3 in x 6.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.589 * [taylor]: Taking taylor expansion of y in x 6.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 6.590 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.590 * [taylor]: Taking taylor expansion of x in x 6.590 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.590 * [taylor]: Taking taylor expansion of 3 in x 6.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.590 * [taylor]: Taking taylor expansion of y in x 6.590 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 6.590 * [taylor]: Taking taylor expansion of (sqrt 3) in y 6.590 * [taylor]: Taking taylor expansion of 3 in y 6.590 * [taylor]: Taking taylor expansion of y in y 6.590 * [taylor]: Taking taylor expansion of 0 in y 6.591 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 6.591 * [taylor]: Taking taylor expansion of 1/2 in y 6.591 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 6.591 * [taylor]: Taking taylor expansion of (sqrt 3) in y 6.591 * [taylor]: Taking taylor expansion of 3 in y 6.591 * [taylor]: Taking taylor expansion of y in y 6.592 * [taylor]: Taking taylor expansion of 0 in y 6.592 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 6.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 6.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.592 * [taylor]: Taking taylor expansion of x in y 6.592 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.592 * [taylor]: Taking taylor expansion of 3 in y 6.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.592 * [taylor]: Taking taylor expansion of y in y 6.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.593 * [taylor]: Taking taylor expansion of x in x 6.593 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.593 * [taylor]: Taking taylor expansion of 3 in x 6.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.593 * [taylor]: Taking taylor expansion of y in x 6.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.593 * [taylor]: Taking taylor expansion of x in x 6.593 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.593 * [taylor]: Taking taylor expansion of 3 in x 6.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.593 * [taylor]: Taking taylor expansion of y in x 6.593 * [taylor]: Taking taylor expansion of 1 in y 6.593 * [taylor]: Taking taylor expansion of 0 in y 6.594 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 6.594 * [taylor]: Taking taylor expansion of 3/2 in y 6.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.594 * [taylor]: Taking taylor expansion of y in y 6.594 * [taylor]: Taking taylor expansion of 0 in y 6.595 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 6.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.595 * [taylor]: Taking taylor expansion of x in y 6.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.595 * [taylor]: Taking taylor expansion of 3 in y 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.595 * [taylor]: Taking taylor expansion of y in y 6.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.595 * [taylor]: Taking taylor expansion of x in x 6.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.595 * [taylor]: Taking taylor expansion of 3 in x 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.595 * [taylor]: Taking taylor expansion of y in x 6.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.596 * [taylor]: Taking taylor expansion of x in x 6.596 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.596 * [taylor]: Taking taylor expansion of 3 in x 6.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.596 * [taylor]: Taking taylor expansion of y in x 6.596 * [taylor]: Taking taylor expansion of 1 in y 6.596 * [taylor]: Taking taylor expansion of 0 in y 6.596 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 6.596 * [taylor]: Taking taylor expansion of 3/2 in y 6.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.596 * [taylor]: Taking taylor expansion of y in y 6.597 * [taylor]: Taking taylor expansion of 0 in y 6.597 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.597 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 6.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 6.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.597 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.597 * [taylor]: Taking taylor expansion of x in y 6.597 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.597 * [taylor]: Taking taylor expansion of 3 in y 6.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.597 * [taylor]: Taking taylor expansion of y in y 6.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 6.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.598 * [taylor]: Taking taylor expansion of x in x 6.598 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.598 * [taylor]: Taking taylor expansion of 3 in x 6.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.598 * [taylor]: Taking taylor expansion of y in x 6.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 6.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.598 * [taylor]: Taking taylor expansion of x in x 6.598 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.598 * [taylor]: Taking taylor expansion of 3 in x 6.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.598 * [taylor]: Taking taylor expansion of y in x 6.599 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 6.599 * [taylor]: Taking taylor expansion of (sqrt 3) in y 6.599 * [taylor]: Taking taylor expansion of 3 in y 6.599 * [taylor]: Taking taylor expansion of y in y 6.599 * [taylor]: Taking taylor expansion of 0 in y 6.599 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 6.599 * [taylor]: Taking taylor expansion of 1/2 in y 6.599 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 6.599 * [taylor]: Taking taylor expansion of (sqrt 3) in y 6.599 * [taylor]: Taking taylor expansion of 3 in y 6.599 * [taylor]: Taking taylor expansion of y in y 6.600 * [taylor]: Taking taylor expansion of 0 in y 6.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 6.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 6.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.600 * [taylor]: Taking taylor expansion of x in y 6.600 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.600 * [taylor]: Taking taylor expansion of 3 in y 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.600 * [taylor]: Taking taylor expansion of y in y 6.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.601 * [taylor]: Taking taylor expansion of x in x 6.601 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.601 * [taylor]: Taking taylor expansion of 3 in x 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.601 * [taylor]: Taking taylor expansion of y in x 6.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.601 * [taylor]: Taking taylor expansion of x in x 6.601 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.601 * [taylor]: Taking taylor expansion of 3 in x 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.601 * [taylor]: Taking taylor expansion of y in x 6.602 * [taylor]: Taking taylor expansion of 1 in y 6.602 * [taylor]: Taking taylor expansion of 0 in y 6.602 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 6.602 * [taylor]: Taking taylor expansion of 3/2 in y 6.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.602 * [taylor]: Taking taylor expansion of y in y 6.603 * [taylor]: Taking taylor expansion of 0 in y 6.603 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 6.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 6.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.603 * [taylor]: Taking taylor expansion of x in y 6.603 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.603 * [taylor]: Taking taylor expansion of 3 in y 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.603 * [taylor]: Taking taylor expansion of y in y 6.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.603 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.603 * [taylor]: Taking taylor expansion of 3 in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.603 * [taylor]: Taking taylor expansion of y in x 6.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 6.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.604 * [taylor]: Taking taylor expansion of x in x 6.604 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.604 * [taylor]: Taking taylor expansion of 3 in x 6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.604 * [taylor]: Taking taylor expansion of y in x 6.604 * [taylor]: Taking taylor expansion of 1 in y 6.604 * [taylor]: Taking taylor expansion of 0 in y 6.604 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 6.604 * [taylor]: Taking taylor expansion of 3/2 in y 6.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.605 * [taylor]: Taking taylor expansion of y in y 6.605 * [taylor]: Taking taylor expansion of 0 in y 6.605 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.605 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 6.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.606 * [taylor]: Taking taylor expansion of x in y 6.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.606 * [taylor]: Taking taylor expansion of 3 in y 6.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.606 * [taylor]: Taking taylor expansion of y in y 6.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.606 * [taylor]: Taking taylor expansion of x in x 6.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.606 * [taylor]: Taking taylor expansion of 3 in x 6.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.606 * [taylor]: Taking taylor expansion of y in x 6.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.606 * [taylor]: Taking taylor expansion of x in x 6.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.606 * [taylor]: Taking taylor expansion of 3 in x 6.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.606 * [taylor]: Taking taylor expansion of y in x 6.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.606 * [taylor]: Taking taylor expansion of 3 in y 6.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.606 * [taylor]: Taking taylor expansion of y in y 6.606 * [taylor]: Taking taylor expansion of 0 in y 6.606 * [taylor]: Taking taylor expansion of 1 in y 6.607 * [taylor]: Taking taylor expansion of 0 in y 6.607 * [taylor]: Taking taylor expansion of 0 in y 6.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.607 * [taylor]: Taking taylor expansion of x in y 6.608 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.608 * [taylor]: Taking taylor expansion of 3 in y 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.608 * [taylor]: Taking taylor expansion of y in y 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.608 * [taylor]: Taking taylor expansion of x in x 6.608 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.608 * [taylor]: Taking taylor expansion of 3 in x 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.608 * [taylor]: Taking taylor expansion of y in x 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.608 * [taylor]: Taking taylor expansion of x in x 6.608 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.608 * [taylor]: Taking taylor expansion of 3 in x 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.608 * [taylor]: Taking taylor expansion of y in x 6.608 * [taylor]: Taking taylor expansion of 1 in y 6.608 * [taylor]: Taking taylor expansion of 0 in y 6.609 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.609 * [taylor]: Taking taylor expansion of 3 in y 6.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.609 * [taylor]: Taking taylor expansion of y in y 6.609 * [taylor]: Taking taylor expansion of 0 in y 6.610 * [taylor]: Taking taylor expansion of 0 in y 6.610 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.610 * [taylor]: Taking taylor expansion of x in y 6.610 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.610 * [taylor]: Taking taylor expansion of 3 in y 6.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.610 * [taylor]: Taking taylor expansion of y in y 6.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.611 * [taylor]: Taking taylor expansion of x in x 6.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.611 * [taylor]: Taking taylor expansion of 3 in x 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.611 * [taylor]: Taking taylor expansion of y in x 6.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.611 * [taylor]: Taking taylor expansion of x in x 6.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.611 * [taylor]: Taking taylor expansion of 3 in x 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.611 * [taylor]: Taking taylor expansion of y in x 6.611 * [taylor]: Taking taylor expansion of 1 in y 6.611 * [taylor]: Taking taylor expansion of 0 in y 6.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.611 * [taylor]: Taking taylor expansion of 3 in y 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.612 * [taylor]: Taking taylor expansion of y in y 6.612 * [taylor]: Taking taylor expansion of 0 in y 6.612 * [taylor]: Taking taylor expansion of 0 in y 6.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.613 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 6.613 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.613 * [taylor]: Taking taylor expansion of 3 in y 6.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.613 * [taylor]: Taking taylor expansion of y in y 6.613 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.613 * [taylor]: Taking taylor expansion of 3 in y 6.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.613 * [taylor]: Taking taylor expansion of y in y 6.617 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 6.617 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 6.617 * [taylor]: Taking taylor expansion of 3 in y 6.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.617 * [taylor]: Taking taylor expansion of y in y 6.617 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 6.617 * [taylor]: Taking taylor expansion of 3 in y 6.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.617 * [taylor]: Taking taylor expansion of y in y 6.618 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 6.618 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 6.618 * [taylor]: Taking taylor expansion of 3 in y 6.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.618 * [taylor]: Taking taylor expansion of y in y 6.618 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 6.618 * [taylor]: Taking taylor expansion of 3 in y 6.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.618 * [taylor]: Taking taylor expansion of y in y 6.619 * * * [progress]: simplifying candidates 6.621 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* 3 (* y y))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y)))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt 1) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (- (* x x) (* 3 (* y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (log (sqrt 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(+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* 3 (* y y))))) (log (sqrt (+ (* x x) (* 3 (* y y)))))) (log (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (exp (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))))) (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (sqrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (sqrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (- (* x x) (* 3 (* y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (- (* x x) (* 3 (* y y))))) (* (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y)))))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* 1 1) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt 1)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) 1) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 6.626 * * [simplify]: iteration 0 : 114 enodes (cost 2374 ) 6.648 * * [simplify]: iteration 1 : 240 enodes (cost 1653 ) 6.711 * * [simplify]: iteration 2 : 735 enodes (cost 1453 ) 7.418 * * [simplify]: iteration 3 : 2870 enodes (cost 1387 ) 8.527 * * [simplify]: iteration done : 5000 enodes (cost 1387 ) 8.527 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* 3 (* y y))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (pow (sqrt (+ (* x x) (* 3 (* y y)))) 3) (fabs (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 1 (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* (pow y 6) 27) (pow x 6))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))))) (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (- (* x x) (* 3 (* y y)))) 1/2 (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (log (sqrt (+ (* x x) (* 3 (* y y))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (pow (sqrt (+ (* x x) (* 3 (* y y)))) 3) (fabs (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 1 (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* (pow y 6) 27) (pow x 6))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))))) (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (- (* x x) (* 3 (* y y)))) 1/2 (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 1 1 2 1 1 (* (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* 3 (* y y))) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2)))) 2 (log (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (* x x) (* 3 (* y y))) 3) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (* x x) (* 3 (* y y))) 3) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))))) (- (pow x 4) 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y 2)))) (fabs (cbrt (+ (* x x) (* 3 (* y y)))))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) 4) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (+ (* x x) (* 3 (* y y))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (+ (* x x) (* 3 (* y y))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (- (pow x 4) (* (pow y 4) 9)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (- (pow x 4) (* (pow y 4) 9)))) (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (sqrt 3) y) x (neg x) (* (sqrt 3) y) x (neg x) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) 8.528 * * * [progress]: adding candidates to table 8.674 * [progress]: [Phase 3 of 3] Extracting. 8.674 * * [regime]: Finding splitpoints for: (# # # # # #) 8.675 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 8.675 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 8.717 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 8.755 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 8.799 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 8.846 * * * * [regimes]: Trying to branch on y from (# # # # # #) 8.889 * * * * [regimes]: Trying to branch on x from (# # # # # #) 8.936 * * * [regime]: Found split indices: #