14.373 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [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 ) 0.040 * * [simplify]: iteration 3 : 36 enodes (cost 9 ) 0.045 * * [simplify]: iteration 4 : 45 enodes (cost 9 ) 0.050 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.055 * * [simplify]: iteration done : 46 enodes (cost 9 ) 0.055 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.083 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 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 0.083 * [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 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 3 in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of 3 in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.087 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 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 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 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 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of 3 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 (* 3 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of 3 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 0 in y 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [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 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of 3 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 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 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of 3 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [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 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of 3 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of 3 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of 3 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.093 * [taylor]: Taking taylor expansion of 3 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * [progress]: simplifying candidates 0.095 * [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))) 0.096 * * [simplify]: iteration 0 : 57 enodes (cost 370 ) 0.106 * * [simplify]: iteration 1 : 164 enodes (cost 346 ) 0.143 * * [simplify]: iteration 2 : 630 enodes (cost 296 ) 0.333 * * [simplify]: iteration 3 : 1787 enodes (cost 288 ) 0.831 * * [simplify]: iteration 4 : 4023 enodes (cost 288 ) 1.729 * * [simplify]: iteration done : 5000 enodes (cost 288 ) 1.729 * [simplify]: Simplified to: (* 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))) (* 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) (* y 3) (* (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 (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (pow x 6) (* 27 (pow y 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))) 1.729 * * * [progress]: adding candidates to table 1.771 * * [progress]: iteration 2 / 4 1.771 * * * [progress]: picking best candidate 1.789 * * * * [pick]: Picked # 1.789 * * * [progress]: localizing error 1.795 * * * [progress]: generating rewritten candidates 1.795 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.801 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.806 * * * [progress]: generating series expansions 1.806 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.806 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.806 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.806 * [taylor]: Taking taylor expansion of 3 in y 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.806 * [taylor]: Taking taylor expansion of y in y 1.806 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.806 * [taylor]: Taking taylor expansion of 3 in y 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.806 * [taylor]: Taking taylor expansion of y in y 1.807 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.807 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.807 * [taylor]: Taking taylor expansion of 3 in y 1.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.807 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.807 * [taylor]: Taking taylor expansion of 3 in y 1.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.808 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.808 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.808 * [taylor]: Taking taylor expansion of 3 in y 1.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.808 * [taylor]: Taking taylor expansion of y in y 1.808 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.808 * [taylor]: Taking taylor expansion of 3 in y 1.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.808 * [taylor]: Taking taylor expansion of y in y 1.809 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.809 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.809 * [taylor]: Taking taylor expansion of 3 in y 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.809 * [taylor]: Taking taylor expansion of 3 in x 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.809 * [taylor]: Taking taylor expansion of 3 in x 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.810 * [taylor]: Taking taylor expansion of 3 in y 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [taylor]: Taking taylor expansion of 0 in y 1.810 * [taylor]: Taking taylor expansion of 1 in y 1.810 * [taylor]: Taking taylor expansion of 0 in y 1.811 * [taylor]: Taking taylor expansion of 0 in y 1.811 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.811 * [taylor]: Taking taylor expansion of x in y 1.811 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.811 * [taylor]: Taking taylor expansion of 3 in y 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.811 * [taylor]: Taking taylor expansion of y in y 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.812 * [taylor]: Taking taylor expansion of 3 in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.812 * [taylor]: Taking taylor expansion of 3 in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [taylor]: Taking taylor expansion of 1 in y 1.812 * [taylor]: Taking taylor expansion of 0 in y 1.812 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.812 * [taylor]: Taking taylor expansion of 3 in y 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.814 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.814 * [taylor]: Taking taylor expansion of x in y 1.814 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.814 * [taylor]: Taking taylor expansion of 3 in y 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.814 * [taylor]: Taking taylor expansion of 3 in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.815 * [taylor]: Taking taylor expansion of 3 in x 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.815 * [taylor]: Taking taylor expansion of y in x 1.815 * [taylor]: Taking taylor expansion of 1 in y 1.815 * [taylor]: Taking taylor expansion of 0 in y 1.815 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.815 * [taylor]: Taking taylor expansion of 3 in y 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.815 * [taylor]: Taking taylor expansion of y in y 1.816 * [taylor]: Taking taylor expansion of 0 in y 1.816 * [taylor]: Taking taylor expansion of 0 in y 1.817 * * * [progress]: simplifying candidates 1.817 * [simplify]: Simplifying using # : (* (* y 3) y) (* (* y 3) y) (+ (+ (log y) (log 3)) (log y)) (+ (log (* y 3)) (log y)) (log (* (* y 3) y)) (exp (* (* y 3) y)) (* (* (* (* y y) y) (* (* 3 3) 3)) (* (* y y) y)) (* (* (* (* y 3) (* y 3)) (* y 3)) (* (* y y) y)) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* (* (* (* y 3) y) (* (* y 3) y)) (* (* y 3) y)) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* y 3) (* (cbrt y) (cbrt y))) (* (* y 3) (sqrt y)) (* (* y 3) 1) (* 3 y) (* (exp (* x x)) (exp (* (* y 3) y))) (log (+ (* x x) (* (* y 3) y))) (exp (+ (* x x) (* (* y 3) y))) (* (cbrt (+ (* x x) (* (* y 3) y))) (cbrt (+ (* x x) (* (* y 3) y)))) (cbrt (+ (* x x) (* (* y 3) y))) (* (* (+ (* x x) (* (* y 3) y)) (+ (* x x) (* (* y 3) y))) (+ (* x x) (* (* y 3) y))) (sqrt (+ (* x x) (* (* y 3) y))) (sqrt (+ (* x x) (* (* y 3) y))) (+ (pow (* x x) 3) (pow (* (* y 3) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 3) y) (* (* y 3) y)) (* (* x x) (* (* y 3) y)))) (- (* (* x x) (* x x)) (* (* (* y 3) y) (* (* y 3) y))) (- (* x x) (* (* y 3) 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))) 1.819 * * [simplify]: iteration 0 : 60 enodes (cost 365 ) 1.829 * * [simplify]: iteration 1 : 171 enodes (cost 339 ) 1.866 * * [simplify]: iteration 2 : 702 enodes (cost 299 ) 2.140 * * [simplify]: iteration 3 : 2497 enodes (cost 283 ) 2.793 * * [simplify]: iteration done : 5001 enodes (cost 283 ) 2.794 * [simplify]: Simplified to: (* y (* 3 y)) (* y (* 3 y)) (log (* (* y 3) y)) (log (* (* y 3) y)) (log (* (* y 3) y)) (exp (* (* y 3) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* 27 (pow y 6)) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* y 3) (* (cbrt y) (cbrt y))) (* (* y 3) (sqrt y)) (* y 3) (* y 3) (exp (+ (* x x) (* (* y 3) y))) (log (+ (* x x) (* (* y 3) y))) (exp (+ (* x x) (* (* y 3) y))) (* (cbrt (+ (* x x) (* (* y 3) y))) (cbrt (+ (* x x) (* (* y 3) y)))) (cbrt (+ (* x x) (* (* y 3) y))) (pow (+ (* x x) (* (* y 3) y)) 3) (sqrt (+ (* x x) (* (* y 3) y))) (sqrt (+ (* x x) (* (* y 3) y))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (* (* (* y 3) y) (- (* (* y 3) y) (* x x))) (pow x 4)) (- (pow x 4) (* (* y (pow y 3)) 9)) (- (* x x) (* (* y 3) y)) (* y (* 3 y)) (* y (* 3 y)) (* y (* 3 y)) (+ (* (* y 3) y) (* x x)) (+ (* (* y 3) y) (* x x)) (+ (* (* y 3) y) (* x x)) 2.794 * * * [progress]: adding candidates to table 2.828 * * [progress]: iteration 3 / 4 2.828 * * * [progress]: picking best candidate 2.845 * * * * [pick]: Picked # 2.845 * * * [progress]: localizing error 2.852 * * * [progress]: generating rewritten candidates 2.852 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.861 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.868 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.873 * * * [progress]: generating series expansions 2.873 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.874 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.874 * [taylor]: Taking taylor expansion of x in y 2.874 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.874 * [taylor]: Taking taylor expansion of 3 in y 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.874 * [taylor]: Taking taylor expansion of y in y 2.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.874 * [taylor]: Taking taylor expansion of 3 in x 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.874 * [taylor]: Taking taylor expansion of 3 in x 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.874 * [taylor]: Taking taylor expansion of 3 in y 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.874 * [taylor]: Taking taylor expansion of y in y 2.874 * [taylor]: Taking taylor expansion of 0 in y 2.875 * [taylor]: Taking taylor expansion of 1 in y 2.875 * [taylor]: Taking taylor expansion of 0 in y 2.875 * [taylor]: Taking taylor expansion of 0 in y 2.876 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.876 * [taylor]: Taking taylor expansion of x in y 2.876 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.876 * [taylor]: Taking taylor expansion of 3 in y 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.876 * [taylor]: Taking taylor expansion of 3 in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.876 * [taylor]: Taking taylor expansion of y in x 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.876 * [taylor]: Taking taylor expansion of 3 in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.876 * [taylor]: Taking taylor expansion of y in x 2.877 * [taylor]: Taking taylor expansion of 1 in y 2.877 * [taylor]: Taking taylor expansion of 0 in y 2.877 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.877 * [taylor]: Taking taylor expansion of 3 in y 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.877 * [taylor]: Taking taylor expansion of y in y 2.877 * [taylor]: Taking taylor expansion of 0 in y 2.878 * [taylor]: Taking taylor expansion of 0 in y 2.879 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.879 * [taylor]: Taking taylor expansion of x in y 2.879 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.879 * [taylor]: Taking taylor expansion of 3 in y 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.879 * [taylor]: Taking taylor expansion of y in y 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.879 * [taylor]: Taking taylor expansion of 3 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.879 * [taylor]: Taking taylor expansion of y in x 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.879 * [taylor]: Taking taylor expansion of 3 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.879 * [taylor]: Taking taylor expansion of y in x 2.880 * [taylor]: Taking taylor expansion of 1 in y 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.880 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.880 * [taylor]: Taking taylor expansion of 3 in y 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.880 * [taylor]: Taking taylor expansion of y in y 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.881 * [taylor]: Taking taylor expansion of 0 in y 2.881 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.881 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 2.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.882 * [taylor]: Taking taylor expansion of x in y 2.882 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.882 * [taylor]: Taking taylor expansion of 2 in y 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.882 * [taylor]: Taking taylor expansion of x in x 2.882 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.882 * [taylor]: Taking taylor expansion of 2 in x 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.882 * [taylor]: Taking taylor expansion of y in x 2.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.882 * [taylor]: Taking taylor expansion of x in x 2.882 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.882 * [taylor]: Taking taylor expansion of 2 in x 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.882 * [taylor]: Taking taylor expansion of y in x 2.882 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.882 * [taylor]: Taking taylor expansion of 2 in y 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [taylor]: Taking taylor expansion of 0 in y 2.882 * [taylor]: Taking taylor expansion of 1 in y 2.883 * [taylor]: Taking taylor expansion of 0 in y 2.883 * [taylor]: Taking taylor expansion of 0 in y 2.883 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.883 * [taylor]: Taking taylor expansion of x in y 2.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.884 * [taylor]: Taking taylor expansion of 2 in y 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.884 * [taylor]: Taking taylor expansion of y in y 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.884 * [taylor]: Taking taylor expansion of 2 in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.884 * [taylor]: Taking taylor expansion of y in x 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.884 * [taylor]: Taking taylor expansion of 2 in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.884 * [taylor]: Taking taylor expansion of y in x 2.884 * [taylor]: Taking taylor expansion of 1 in y 2.884 * [taylor]: Taking taylor expansion of 0 in y 2.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.885 * [taylor]: Taking taylor expansion of 2 in y 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.885 * [taylor]: Taking taylor expansion of y in y 2.885 * [taylor]: Taking taylor expansion of 0 in y 2.886 * [taylor]: Taking taylor expansion of 0 in y 2.886 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.886 * [taylor]: Taking taylor expansion of x in y 2.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.886 * [taylor]: Taking taylor expansion of 2 in y 2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.886 * [taylor]: Taking taylor expansion of y in y 2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.887 * [taylor]: Taking taylor expansion of 2 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.887 * [taylor]: Taking taylor expansion of y in x 2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.887 * [taylor]: Taking taylor expansion of 2 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.887 * [taylor]: Taking taylor expansion of y in x 2.887 * [taylor]: Taking taylor expansion of 1 in y 2.887 * [taylor]: Taking taylor expansion of 0 in y 2.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.887 * [taylor]: Taking taylor expansion of 2 in y 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.887 * [taylor]: Taking taylor expansion of y in y 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.889 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.889 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.889 * [taylor]: Taking taylor expansion of x in y 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.889 * [taylor]: Taking taylor expansion of y in y 2.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.889 * [taylor]: Taking taylor expansion of y in y 2.889 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [taylor]: Taking taylor expansion of 1 in y 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.890 * [taylor]: Taking taylor expansion of x in y 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.890 * [taylor]: Taking taylor expansion of y in y 2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [taylor]: Taking taylor expansion of 1 in y 2.891 * [taylor]: Taking taylor expansion of 0 in y 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.891 * [taylor]: Taking taylor expansion of y in y 2.892 * [taylor]: Taking taylor expansion of 0 in y 2.892 * [taylor]: Taking taylor expansion of 0 in y 2.893 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.893 * [taylor]: Taking taylor expansion of x in y 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.893 * [taylor]: Taking taylor expansion of y in y 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [taylor]: Taking taylor expansion of 1 in y 2.894 * [taylor]: Taking taylor expansion of 0 in y 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.894 * [taylor]: Taking taylor expansion of y in y 2.894 * [taylor]: Taking taylor expansion of 0 in y 2.895 * [taylor]: Taking taylor expansion of 0 in y 2.895 * * * [progress]: simplifying candidates 2.896 * [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)) 2.898 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 2.910 * * [simplify]: iteration 1 : 218 enodes (cost 674 ) 2.962 * * [simplify]: iteration 2 : 972 enodes (cost 601 ) 3.245 * * [simplify]: iteration 3 : 3055 enodes (cost 513 ) 3.949 * * [simplify]: iteration done : 5001 enodes (cost 513 ) 3.950 * [simplify]: Simplified to: (exp (+ (* 3 (pow y 2)) (* x x))) (exp (+ (* 3 (pow y 2)) (* x x))) (exp (+ (* 3 (pow y 2)) (* x x))) (log (+ (* 3 (pow y 2)) (* x x))) (exp (+ (* 3 (pow y 2)) (* x x))) (* (cbrt (+ (* 3 (pow y 2)) (* x x))) (cbrt (+ (* 3 (pow y 2)) (* x x)))) (cbrt (+ (* 3 (pow y 2)) (* x x))) (pow (+ (* 3 (pow y 2)) (* x x)) 3) (sqrt (+ (* 3 (pow y 2)) (* x x))) (sqrt (+ (* 3 (pow y 2)) (* x x))) (+ (pow y 6) (pow (+ (* x x) (* 2 (* y y))) 3)) (+ (pow y 4) (* (+ (* x x) (* 2 (* y y))) (+ (pow x 2) (pow y 2)))) (* (+ (* x x) (* y y)) (+ (* 3 (pow y 2)) (* x x))) (+ (* y y) (* x x)) (* (* y 2) y) (exp (+ (* 2 (pow y 2)) (* x x))) (exp (+ (* 2 (pow y 2)) (* x x))) (log (+ (* x x) (* 2 (* y y)))) (exp (+ (* 2 (pow y 2)) (* x x))) (* (cbrt (+ (* x x) (* 2 (* y y)))) (cbrt (+ (* x x) (* 2 (* y y))))) (cbrt (+ (* x x) (* 2 (* y y)))) (pow (+ (* x x) (* 2 (* y y))) 3) (sqrt (+ (* x x) (* 2 (* y y)))) (sqrt (+ (* x x) (* 2 (* y y)))) (+ (pow (+ (* x x) (* y y)) 3) (pow y 6)) (+ (pow y 4) (* (* x x) (+ (* x x) (* y y)))) (* (+ (* x x) (* 2 (* y y))) (* x x)) (* x x) (* (* y 2) y) (exp (+ (* y y) (* x x))) (log (+ (* x x) (* y y))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (* (- x y) (+ y x)) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (* 2 (pow y 2)) (* x x)) (+ (* 2 (pow y 2)) (* x x)) (+ (* 2 (pow y 2)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 3.950 * * * [progress]: adding candidates to table 4.003 * * [progress]: iteration 4 / 4 4.003 * * * [progress]: picking best candidate 4.015 * * * * [pick]: Picked # 4.016 * * * [progress]: localizing error 4.024 * * * [progress]: generating rewritten candidates 4.024 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.028 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.032 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 4.054 * * * [progress]: generating series expansions 4.054 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 4.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 4.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.055 * [taylor]: Taking taylor expansion of x in y 4.055 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.055 * [taylor]: Taking taylor expansion of 3 in y 4.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.055 * [taylor]: Taking taylor expansion of y in y 4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 4.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.055 * [taylor]: Taking taylor expansion of x in x 4.055 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.055 * [taylor]: Taking taylor expansion of 3 in x 4.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.055 * [taylor]: Taking taylor expansion of y in x 4.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 4.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.056 * [taylor]: Taking taylor expansion of 3 in x 4.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.056 * [taylor]: Taking taylor expansion of y in x 4.056 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 4.056 * [taylor]: Taking taylor expansion of (sqrt 3) in y 4.056 * [taylor]: Taking taylor expansion of 3 in y 4.056 * [taylor]: Taking taylor expansion of y in y 4.056 * [taylor]: Taking taylor expansion of 0 in y 4.057 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 4.057 * [taylor]: Taking taylor expansion of 1/2 in y 4.057 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 4.057 * [taylor]: Taking taylor expansion of (sqrt 3) in y 4.057 * [taylor]: Taking taylor expansion of 3 in y 4.057 * [taylor]: Taking taylor expansion of y in y 4.058 * [taylor]: Taking taylor expansion of 0 in y 4.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 4.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.058 * [taylor]: Taking taylor expansion of x in y 4.058 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.058 * [taylor]: Taking taylor expansion of 3 in y 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.058 * [taylor]: Taking taylor expansion of y in y 4.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.059 * [taylor]: Taking taylor expansion of x in x 4.059 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.059 * [taylor]: Taking taylor expansion of 3 in x 4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.059 * [taylor]: Taking taylor expansion of y in x 4.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.059 * [taylor]: Taking taylor expansion of x in x 4.059 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.059 * [taylor]: Taking taylor expansion of 3 in x 4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.059 * [taylor]: Taking taylor expansion of y in x 4.059 * [taylor]: Taking taylor expansion of 1 in y 4.059 * [taylor]: Taking taylor expansion of 0 in y 4.060 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 4.060 * [taylor]: Taking taylor expansion of 3/2 in y 4.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.060 * [taylor]: Taking taylor expansion of y in y 4.061 * [taylor]: Taking taylor expansion of 0 in y 4.061 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.061 * [taylor]: Taking taylor expansion of x in y 4.061 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.061 * [taylor]: Taking taylor expansion of 3 in y 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.061 * [taylor]: Taking taylor expansion of y in y 4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.062 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.062 * [taylor]: Taking taylor expansion of 3 in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.062 * [taylor]: Taking taylor expansion of y in x 4.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.062 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.062 * [taylor]: Taking taylor expansion of 3 in x 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.062 * [taylor]: Taking taylor expansion of y in x 4.062 * [taylor]: Taking taylor expansion of 1 in y 4.062 * [taylor]: Taking taylor expansion of 0 in y 4.063 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 4.063 * [taylor]: Taking taylor expansion of 3/2 in y 4.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.063 * [taylor]: Taking taylor expansion of y in y 4.063 * [taylor]: Taking taylor expansion of 0 in y 4.064 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 4.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 4.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 4.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.064 * [taylor]: Taking taylor expansion of x in y 4.064 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.064 * [taylor]: Taking taylor expansion of 3 in y 4.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.064 * [taylor]: Taking taylor expansion of y in y 4.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 4.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.064 * [taylor]: Taking taylor expansion of x in x 4.064 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.064 * [taylor]: Taking taylor expansion of 3 in x 4.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.064 * [taylor]: Taking taylor expansion of y in x 4.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 4.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.065 * [taylor]: Taking taylor expansion of x in x 4.065 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.065 * [taylor]: Taking taylor expansion of 3 in x 4.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.065 * [taylor]: Taking taylor expansion of y in x 4.065 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 4.065 * [taylor]: Taking taylor expansion of (sqrt 3) in y 4.065 * [taylor]: Taking taylor expansion of 3 in y 4.065 * [taylor]: Taking taylor expansion of y in y 4.065 * [taylor]: Taking taylor expansion of 0 in y 4.066 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 4.066 * [taylor]: Taking taylor expansion of 1/2 in y 4.066 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 4.066 * [taylor]: Taking taylor expansion of (sqrt 3) in y 4.066 * [taylor]: Taking taylor expansion of 3 in y 4.066 * [taylor]: Taking taylor expansion of y in y 4.067 * [taylor]: Taking taylor expansion of 0 in y 4.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 4.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.067 * [taylor]: Taking taylor expansion of x in y 4.067 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.067 * [taylor]: Taking taylor expansion of 3 in y 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.067 * [taylor]: Taking taylor expansion of y in y 4.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.068 * [taylor]: Taking taylor expansion of 3 in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.068 * [taylor]: Taking taylor expansion of y in x 4.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.068 * [taylor]: Taking taylor expansion of 3 in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.068 * [taylor]: Taking taylor expansion of y in x 4.068 * [taylor]: Taking taylor expansion of 1 in y 4.069 * [taylor]: Taking taylor expansion of 0 in y 4.069 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 4.069 * [taylor]: Taking taylor expansion of 3/2 in y 4.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.069 * [taylor]: Taking taylor expansion of y in y 4.070 * [taylor]: Taking taylor expansion of 0 in y 4.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 4.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.070 * [taylor]: Taking taylor expansion of x in y 4.070 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.070 * [taylor]: Taking taylor expansion of 3 in y 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.070 * [taylor]: Taking taylor expansion of y in y 4.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.071 * [taylor]: Taking taylor expansion of x in x 4.071 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.071 * [taylor]: Taking taylor expansion of 3 in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.071 * [taylor]: Taking taylor expansion of y in x 4.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.071 * [taylor]: Taking taylor expansion of x in x 4.071 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.071 * [taylor]: Taking taylor expansion of 3 in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.071 * [taylor]: Taking taylor expansion of y in x 4.071 * [taylor]: Taking taylor expansion of 1 in y 4.071 * [taylor]: Taking taylor expansion of 0 in y 4.072 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 4.072 * [taylor]: Taking taylor expansion of 3/2 in y 4.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.072 * [taylor]: Taking taylor expansion of y in y 4.072 * [taylor]: Taking taylor expansion of 0 in y 4.073 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.073 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 4.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 4.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.073 * [taylor]: Taking taylor expansion of x in y 4.073 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.073 * [taylor]: Taking taylor expansion of 3 in y 4.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.073 * [taylor]: Taking taylor expansion of y in y 4.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.073 * [taylor]: Taking taylor expansion of x in x 4.073 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.073 * [taylor]: Taking taylor expansion of 3 in x 4.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.073 * [taylor]: Taking taylor expansion of y in x 4.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.073 * [taylor]: Taking taylor expansion of x in x 4.073 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.073 * [taylor]: Taking taylor expansion of 3 in x 4.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.073 * [taylor]: Taking taylor expansion of y in x 4.073 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.073 * [taylor]: Taking taylor expansion of 3 in y 4.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.073 * [taylor]: Taking taylor expansion of y in y 4.074 * [taylor]: Taking taylor expansion of 0 in y 4.074 * [taylor]: Taking taylor expansion of 1 in y 4.074 * [taylor]: Taking taylor expansion of 0 in y 4.074 * [taylor]: Taking taylor expansion of 0 in y 4.075 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.075 * [taylor]: Taking taylor expansion of x in y 4.075 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.075 * [taylor]: Taking taylor expansion of 3 in y 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.075 * [taylor]: Taking taylor expansion of y in y 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.075 * [taylor]: Taking taylor expansion of 3 in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.075 * [taylor]: Taking taylor expansion of y in x 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.075 * [taylor]: Taking taylor expansion of 3 in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.075 * [taylor]: Taking taylor expansion of y in x 4.076 * [taylor]: Taking taylor expansion of 1 in y 4.076 * [taylor]: Taking taylor expansion of 0 in y 4.076 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.076 * [taylor]: Taking taylor expansion of 3 in y 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.076 * [taylor]: Taking taylor expansion of y in y 4.076 * [taylor]: Taking taylor expansion of 0 in y 4.077 * [taylor]: Taking taylor expansion of 0 in y 4.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.078 * [taylor]: Taking taylor expansion of x in y 4.078 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.078 * [taylor]: Taking taylor expansion of 3 in y 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.078 * [taylor]: Taking taylor expansion of y in y 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.078 * [taylor]: Taking taylor expansion of x in x 4.078 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.078 * [taylor]: Taking taylor expansion of 3 in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.078 * [taylor]: Taking taylor expansion of y in x 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.078 * [taylor]: Taking taylor expansion of x in x 4.078 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.078 * [taylor]: Taking taylor expansion of 3 in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.078 * [taylor]: Taking taylor expansion of y in x 4.078 * [taylor]: Taking taylor expansion of 1 in y 4.079 * [taylor]: Taking taylor expansion of 0 in y 4.079 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.079 * [taylor]: Taking taylor expansion of 3 in y 4.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.079 * [taylor]: Taking taylor expansion of y in y 4.082 * [taylor]: Taking taylor expansion of 0 in y 4.083 * [taylor]: Taking taylor expansion of 0 in y 4.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 4.083 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 4.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of 3 in y 4.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.084 * [taylor]: Taking taylor expansion of y in y 4.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of 3 in y 4.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.084 * [taylor]: Taking taylor expansion of y in y 4.084 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 4.084 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of 3 in y 4.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.085 * [taylor]: Taking taylor expansion of y in y 4.085 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.085 * [taylor]: Taking taylor expansion of 3 in y 4.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.085 * [taylor]: Taking taylor expansion of y in y 4.086 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 4.086 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.086 * [taylor]: Taking taylor expansion of 3 in y 4.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.086 * [taylor]: Taking taylor expansion of y in y 4.086 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.086 * [taylor]: Taking taylor expansion of 3 in y 4.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.086 * [taylor]: Taking taylor expansion of y in y 4.087 * * * [progress]: simplifying candidates 4.088 * [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 (+ (* 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))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* 3 (* y y))) (+ (* 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)))) (+ 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)) 4.094 * * [simplify]: iteration 0 : 114 enodes (cost 2374 ) 4.112 * * [simplify]: iteration 1 : 245 enodes (cost 1664 ) 4.160 * * [simplify]: iteration 2 : 878 enodes (cost 1440 ) 4.389 * * [simplify]: iteration 3 : 2689 enodes (cost 1384 ) 5.191 * * [simplify]: iteration done : 5000 enodes (cost 1366 ) 5.192 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (exp (sqrt (+ (* 3 (* y y)) (pow x 2)))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (pow (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 3) (fabs (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 3 (pow y 2))))) 1 (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (* (pow y 6) 27) (pow x 6))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- 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(* y y))))) 4) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 1 (+ (pow x 2) (* 3 (pow y 2))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 1 (+ (pow x 2) (* 3 (pow y 2))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) 4) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (fabs (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* 3 (* y y)) (pow x 2)))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (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) (+ (pow x 2) (* 3 (pow y 2))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (+ (pow x 2) (* 3 (pow y 2))) (* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* 3 (* y y)) (pow x 2)))) (* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* 3 (* y y)) (pow x 2)))) (* (* y 3) y) (* (* y 3) 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))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* (* y 3) y) (* (sqrt 3) y) x (neg x) (* (sqrt 3) y) x (neg x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* (* y 3) y) (* (* y 3) y) (* (* y 3) y) 5.192 * * * [progress]: adding candidates to table 5.371 * [progress]: [Phase 3 of 3] Extracting. 5.371 * * [regime]: Finding splitpoints for: (# # # # # #) 5.373 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 5.373 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 5.418 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 5.453 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 5.499 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 5.547 * * * * [regimes]: Trying to branch on y from (# # # # # #) 5.594 * * * * [regimes]: Trying to branch on x from (# # # # # #) 5.640 * * * [regime]: Found split indices: #