41.176 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.029 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.031 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.032 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.034 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.034 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.055 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.055 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [taylor]: Taking taylor expansion of (* x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.056 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.061 * [taylor]: Taking taylor expansion of (* x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.062 * [taylor]: Taking taylor expansion of 2.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.062 * [taylor]: Taking taylor expansion of (* x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of (* x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ 1 (* x y))) in y 0.069 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.070 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of 2.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of 2.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.078 * [taylor]: Taking taylor expansion of 2.0 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (* 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 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of 2.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.087 * [taylor]: Taking taylor expansion of (* x y) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of 2.0 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.100 * [taylor]: Taking taylor expansion of (* x y) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.100 * [taylor]: Taking taylor expansion of (* x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * * * [progress]: simplifying candidates 0.116 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (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))) 0.119 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.124 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.144 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.262 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.263 * [simplify]: Simplified to: (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (+ (* y (- (* x 2.0) y)) (pow x 2))) (pow y 4)) (* (+ (* y (- (* x 2.0) y)) (pow x 2)) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (* y (- (* x 2.0) y)) (pow x 2)) (* y (+ (* x 2.0) y)) (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (* x (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.264 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.322 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.322 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.322 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.322 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.322 * [taylor]: Taking taylor expansion of 2.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.322 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.322 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.322 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.322 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.322 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.322 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.323 * [taylor]: Taking taylor expansion of 2.0 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 2.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of 2.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.332 * [taylor]: Taking taylor expansion of 2.0 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of 2.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of 2.0 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of 2.0 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 2.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.356 * * * [progress]: simplifying candidates 0.356 * [simplify]: Simplifying using # : (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 0.359 * * [simplify]: iteration 0 : 145 enodes (cost 116 ) 0.363 * * [simplify]: iteration 1 : 711 enodes (cost 103 ) 0.378 * * [simplify]: iteration 2 : 3639 enodes (cost 103 ) 0.455 * * [simplify]: iteration 3 : 5001 enodes (cost 103 ) 0.456 * [simplify]: Simplified to: (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* y (* x 2.0)) (pow y 2) (* y (* x 2.0)) (pow y 2) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) 0.456 * * * [progress]: adding candidates to table 0.486 * [progress]: [Phase 3 of 3] Extracting. 0.486 * * [regime]: Finding splitpoints for: (# #) 0.486 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.486 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.497 * * * * [regimes]: Trying to branch on y from (# #) 0.507 * * * * [regimes]: Trying to branch on x from (# #) 0.519 * * * [regime]: Found split indices: #