19.851 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.026 * * [simplify]: iteration 1 : 17 enodes (cost 13 ) 0.028 * * [simplify]: iteration 2 : 35 enodes (cost 11 ) 0.036 * * [simplify]: iteration 3 : 41 enodes (cost 11 ) 0.042 * * [simplify]: iteration done : 41 enodes (cost 11 ) 0.042 * [simplify]: Simplified to: (+ (* y y) (* x (+ (* 2.0 y) x))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.068 * [taylor]: Taking taylor expansion of 2.0 in x 0.068 * [taylor]: Taking taylor expansion of (* x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.069 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [taylor]: Taking taylor expansion of (* x y) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.069 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [taylor]: Taking taylor expansion of (* x y) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1 in x 0.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.075 * [taylor]: Taking taylor expansion of 2.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.075 * [taylor]: Taking taylor expansion of (* x y) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.078 * [taylor]: Taking taylor expansion of 2.0 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.078 * [taylor]: Taking taylor expansion of (* x y) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in x 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 2.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.084 * [taylor]: Taking taylor expansion of 2.0 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.084 * [taylor]: Taking taylor expansion of (* x y) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (* 2.0 (/ 1 (* x y))) in y 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.085 * [taylor]: Taking taylor expansion of (* x y) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (* 2.0 (/ 1 (* x y))) in y 0.086 * [taylor]: Taking taylor expansion of 2.0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.086 * [taylor]: Taking taylor expansion of (* x y) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 1 in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.092 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.101 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of 2.0 in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.102 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.103 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of 2.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of 2.0 in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.122 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of 2.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * * * [progress]: simplifying candidates 0.135 * [simplify]: Simplifying using # : (* (exp (* y y)) (exp (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (* (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow (* y y) 3) (pow (* x (+ (* 2.0 y) x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* x (+ (* 2.0 y) x))))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (* 2.0 y))) (+ (* y y) (* (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.138 * * [simplify]: iteration 0 : 73 enodes (cost 527 ) 0.158 * * [simplify]: iteration 1 : 222 enodes (cost 493 ) 0.211 * * [simplify]: iteration 2 : 742 enodes (cost 439 ) 0.542 * * [simplify]: iteration 3 : 3096 enodes (cost 439 ) 1.678 * * [simplify]: iteration done : 5000 enodes (cost 439 ) 1.679 * [simplify]: Simplified to: (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (pow (+ (* y y) (* x (+ (* 2.0 y) x))) 3) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow y 6)) (+ (pow y 4) (* (* x (+ (* 2.0 y) x)) (- (* x (+ (* 2.0 y) x)) (* y y)))) (- (pow y 4) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* 2.0 (* x y)) (pow x 2) (* 2.0 (* x y)) (pow x 2) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 1.679 * * * [progress]: adding candidates to table 1.748 * * [progress]: iteration 2 / 4 1.748 * * * [progress]: picking best candidate 1.749 * * * * [pick]: Picked # 1.749 * * * [progress]: localizing error 1.756 * * * [progress]: generating rewritten candidates 1.756 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.765 * * * [progress]: generating series expansions 1.765 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.765 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 1.765 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 1.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 1.765 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.765 * [taylor]: Taking taylor expansion of 2.0 in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 1.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 1.765 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.765 * [taylor]: Taking taylor expansion of 2.0 in y 1.765 * [taylor]: Taking taylor expansion of x in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 1.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 1.765 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.765 * [taylor]: Taking taylor expansion of 2.0 in y 1.765 * [taylor]: Taking taylor expansion of x in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of 0 in x 1.767 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.767 * [taylor]: Taking taylor expansion of 2.0 in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of 1 in x 1.771 * [taylor]: Taking taylor expansion of 0 in x 1.773 * [taylor]: Taking taylor expansion of 0 in x 1.773 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 1.773 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.773 * [taylor]: Taking taylor expansion of y in x 1.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.773 * [taylor]: Taking taylor expansion of 2.0 in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of y in x 1.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.775 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.775 * [taylor]: Taking taylor expansion of 2.0 in y 1.775 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.775 * [taylor]: Taking taylor expansion of x in y 1.775 * [taylor]: Taking taylor expansion of y in y 1.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.775 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.776 * [taylor]: Taking taylor expansion of 2.0 in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.776 * [taylor]: Taking taylor expansion of x in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of 1 in x 1.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.777 * [taylor]: Taking taylor expansion of 2.0 in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of 0 in x 1.783 * [taylor]: Taking taylor expansion of 0 in x 1.787 * [taylor]: Taking taylor expansion of 0 in x 1.788 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 1.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.788 * [taylor]: Taking taylor expansion of y in x 1.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of 2.0 in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of y in x 1.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.789 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.789 * [taylor]: Taking taylor expansion of 2.0 in y 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.790 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.790 * [taylor]: Taking taylor expansion of 2.0 in y 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.790 * [taylor]: Taking taylor expansion of x in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.791 * [taylor]: Taking taylor expansion of 1 in x 1.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.795 * [taylor]: Taking taylor expansion of 2.0 in x 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of 0 in x 1.801 * [taylor]: Taking taylor expansion of 0 in x 1.805 * [taylor]: Taking taylor expansion of 0 in x 1.806 * * * [progress]: simplifying candidates 1.806 * [simplify]: Simplifying using # : (* y (+ y (* 2.0 x))) (+ (log y) (log (+ y (* 2.0 x)))) (log (* y (+ y (* 2.0 x)))) (exp (* y (+ y (* 2.0 x)))) (* (* (* y y) y) (* (* (+ y (* 2.0 x)) (+ y (* 2.0 x))) (+ y (* 2.0 x)))) (* (cbrt (* y (+ y (* 2.0 x)))) (cbrt (* y (+ y (* 2.0 x))))) (cbrt (* y (+ y (* 2.0 x)))) (* (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* y (+ y (* 2.0 x)))) (sqrt (* y (+ y (* 2.0 x)))) (sqrt (* y (+ y (* 2.0 x)))) (* (sqrt y) (sqrt (+ y (* 2.0 x)))) (* (sqrt y) (sqrt (+ y (* 2.0 x)))) (* y y) (* y (* 2.0 x)) (* y y) (* (* 2.0 x) y) (* y (* (cbrt (+ y (* 2.0 x))) (cbrt (+ y (* 2.0 x))))) (* y (sqrt (+ y (* 2.0 x)))) (* y 1) (* (cbrt y) (+ y (* 2.0 x))) (* (sqrt y) (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (* y (- (* y y) (* (* 2.0 x) (* 2.0 x)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 1.808 * * [simplify]: iteration 0 : 48 enodes (cost 253 ) 1.820 * * [simplify]: iteration 1 : 141 enodes (cost 242 ) 1.848 * * [simplify]: iteration 2 : 432 enodes (cost 216 ) 1.994 * * [simplify]: iteration 3 : 1542 enodes (cost 216 ) 2.917 * * [simplify]: iteration done : 5000 enodes (cost 216 ) 2.918 * [simplify]: Simplified to: (* y (+ y (* 2.0 x))) (log (* y (+ y (* 2.0 x)))) (log (* y (+ y (* 2.0 x)))) (exp (* y (+ y (* 2.0 x)))) (pow (* y (+ y (* 2.0 x))) 3) (* (cbrt (* y (+ y (* 2.0 x)))) (cbrt (* y (+ y (* 2.0 x))))) (cbrt (* y (+ y (* 2.0 x)))) (pow (* y (+ y (* 2.0 x))) 3) (sqrt (* y (+ y (* 2.0 x)))) (sqrt (* y (+ y (* 2.0 x)))) (* (sqrt y) (sqrt (+ y (* 2.0 x)))) (* (sqrt y) (sqrt (+ y (* 2.0 x)))) (pow y 2) (* (* 2.0 x) y) (pow y 2) (* (* 2.0 x) y) (* y (* (cbrt (+ y (* 2.0 x))) (cbrt (+ y (* 2.0 x))))) (* y (sqrt (+ y (* 2.0 x)))) y (* (cbrt y) (+ y (* 2.0 x))) (* (sqrt y) (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (* y (- (* y y) (* (* 2.0 x) (* 2.0 x)))) (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) 2.918 * * * [progress]: adding candidates to table 2.961 * [progress]: [Phase 3 of 3] Extracting. 2.961 * * [regime]: Finding splitpoints for: (# #) 2.961 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.961 * * * * [regimes]: Trying to branch on y from (# #) 2.972 * * * * [regimes]: Trying to branch on x from (# #) 2.982 * * * [regime]: Found split indices: #