25.571 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.028 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.030 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.030 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.059 * [taylor]: Taking taylor expansion of 2.0 in y 0.059 * [taylor]: Taking taylor expansion of (* x y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.071 * [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 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.072 * [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 0.073 * [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 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.084 * [taylor]: Taking taylor expansion of (* x y) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.085 * [taylor]: Taking taylor expansion of 2.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.085 * [taylor]: Taking taylor expansion of (* x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.086 * [taylor]: Taking taylor expansion of 2.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.086 * [taylor]: Taking taylor expansion of (* x y) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.104 * [taylor]: Taking taylor expansion of (* x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.107 * [taylor]: Taking taylor expansion of (* x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.116 * [taylor]: Taking taylor expansion of 2.0 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.120 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (* (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)) (* (* (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)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2.0 (* x y)))) 0.127 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.132 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.152 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.272 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.274 * [simplify]: Simplified to: (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))) (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)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) 0.274 * * * [progress]: adding candidates to table 0.331 * * [progress]: iteration 2 / 4 0.331 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.352 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.359 * * * [progress]: generating series expansions 0.359 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.359 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.359 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.359 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.359 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.359 * [taylor]: Taking taylor expansion of 2.0 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.359 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.359 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.359 * [taylor]: Taking taylor expansion of 2.0 in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.359 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.359 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.359 * [taylor]: Taking taylor expansion of 2.0 in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.361 * [taylor]: Taking taylor expansion of 2.0 in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.367 * [taylor]: Taking taylor expansion of 0 in x 0.367 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of 2.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.369 * [taylor]: Taking taylor expansion of 2.0 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.369 * [taylor]: Taking taylor expansion of 2.0 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of 2.0 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 2.0 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.383 * [taylor]: Taking taylor expansion of 2.0 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.384 * [taylor]: Taking taylor expansion of 2.0 in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 2.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.394 * [taylor]: Taking taylor expansion of 0 in x 0.398 * [taylor]: Taking taylor expansion of 0 in x 0.398 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.398 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.399 * [taylor]: Taking taylor expansion of 2.0 in y 0.399 * [taylor]: Taking taylor expansion of (* x y) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.399 * [taylor]: Taking taylor expansion of 2.0 in x 0.399 * [taylor]: Taking taylor expansion of (* x y) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.399 * [taylor]: Taking taylor expansion of 2.0 in x 0.399 * [taylor]: Taking taylor expansion of (* x y) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.400 * [taylor]: Taking taylor expansion of 2.0 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.405 * [taylor]: Taking taylor expansion of 2.0 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.405 * [taylor]: Taking taylor expansion of (* x y) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.406 * [taylor]: Taking taylor expansion of 2.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.406 * [taylor]: Taking taylor expansion of (* x y) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.407 * [taylor]: Taking taylor expansion of 2.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.407 * [taylor]: Taking taylor expansion of (* x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of 2.0 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.413 * [taylor]: Taking taylor expansion of 2.0 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.413 * [taylor]: Taking taylor expansion of (* x y) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.414 * [taylor]: Taking taylor expansion of 2.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.414 * [taylor]: Taking taylor expansion of (* x y) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.415 * [taylor]: Taking taylor expansion of 2.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.415 * [taylor]: Taking taylor expansion of (* x y) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of 1 in y 0.417 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.417 * [taylor]: Taking taylor expansion of 2.0 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * * * [progress]: simplifying candidates 0.421 * [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))) (* (exp (pow x 2)) (exp (* y (+ (* x 2.0) y)))) (log (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y))))) (cbrt (+ (pow x 2) (* y (+ (* 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)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (pow (pow x 2) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (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 x 2) (pow x 2)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (* x 2.0))) (+ (pow x 2) (* (* x 2.0) y)) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (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) (+ (pow y 2) (* 2.0 (* x y)))) 0.426 * * [simplify]: iteration 0 : 216 enodes (cost 231 ) 0.431 * * [simplify]: iteration 1 : 1074 enodes (cost 212 ) 0.456 * * [simplify]: iteration 2 : 5002 enodes (cost 212 ) 0.457 * [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))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y))))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (pow (pow x 2) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* y (+ (* x 2.0) y)) (- (* y (+ (* x 2.0) y)) (pow x 2))) (pow x 4)) (+ (pow x 4) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))))) (- (pow x 2) (* y (+ (* x 2.0) y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* 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))) 0.458 * * * [progress]: adding candidates to table 0.524 * * [progress]: iteration 3 / 4 0.524 * * * [progress]: picking best candidate 0.530 * * * * [pick]: Picked # 0.530 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.549 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.555 * * * [progress]: generating series expansions 0.555 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.556 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.556 * [taylor]: Taking taylor expansion of 2.0 in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.556 * [taylor]: Taking taylor expansion of 2.0 in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.556 * [taylor]: Taking taylor expansion of 2.0 in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.557 * [taylor]: Taking taylor expansion of 2.0 in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 1 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.564 * [taylor]: Taking taylor expansion of 2.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.565 * [taylor]: Taking taylor expansion of 2.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.566 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1 in y 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of 2.0 in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.578 * [taylor]: Taking taylor expansion of 2.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.579 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.579 * [taylor]: Taking taylor expansion of 2.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.580 * [taylor]: Taking taylor expansion of 2.0 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.582 * [taylor]: Taking taylor expansion of 2.0 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.592 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.592 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.592 * [taylor]: Taking taylor expansion of 2.0 in y 0.592 * [taylor]: Taking taylor expansion of (* x y) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.593 * [taylor]: Taking taylor expansion of 2.0 in x 0.593 * [taylor]: Taking taylor expansion of (* x y) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.593 * [taylor]: Taking taylor expansion of 2.0 in x 0.593 * [taylor]: Taking taylor expansion of (* x y) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.594 * [taylor]: Taking taylor expansion of 2.0 in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 1 in y 0.598 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.599 * [taylor]: Taking taylor expansion of 2.0 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.599 * [taylor]: Taking taylor expansion of (* x y) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.600 * [taylor]: Taking taylor expansion of 2.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.600 * [taylor]: Taking taylor expansion of (* x y) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.601 * [taylor]: Taking taylor expansion of 2.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.601 * [taylor]: Taking taylor expansion of (* x y) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of 1 in y 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.603 * [taylor]: Taking taylor expansion of 2.0 in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.607 * [taylor]: Taking taylor expansion of (* x y) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.608 * [taylor]: Taking taylor expansion of (* x y) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 2.0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of 1 in y 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.611 * [taylor]: Taking taylor expansion of 2.0 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.614 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying using # : (* 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))) (* (exp (* x (+ (* 2.0 y) x))) (exp (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* 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)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2.0 (* x y)))) 0.619 * * [simplify]: iteration 0 : 225 enodes (cost 237 ) 0.624 * * [simplify]: iteration 1 : 1110 enodes (cost 217 ) 0.649 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.650 * [simplify]: Simplified to: (* 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 (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 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))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (pow y 2) (- (pow y 2) (* x (+ (* 2.0 y) x)))) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) 0.650 * * * [progress]: adding candidates to table 0.719 * * [progress]: iteration 4 / 4 0.719 * * * [progress]: picking best candidate 0.724 * * * * [pick]: Picked # 0.724 * * * [progress]: localizing error 0.733 * * * [progress]: generating rewritten candidates 0.733 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.773 * * * [progress]: generating series expansions 0.773 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.773 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.773 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.773 * [taylor]: Taking taylor expansion of 2.0 in y 0.774 * [taylor]: Taking taylor expansion of (* x y) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.775 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.775 * [taylor]: Taking taylor expansion of 2.0 in x 0.775 * [taylor]: Taking taylor expansion of (* x y) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.777 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.777 * [taylor]: Taking taylor expansion of 2.0 in x 0.777 * [taylor]: Taking taylor expansion of (* x y) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of 1.0 in y 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.785 * [taylor]: Taking taylor expansion of 2.0 in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.785 * [taylor]: Taking taylor expansion of (* x y) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.789 * [taylor]: Taking taylor expansion of 2.0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.789 * [taylor]: Taking taylor expansion of (* x y) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.791 * [taylor]: Taking taylor expansion of 2.0 in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.791 * [taylor]: Taking taylor expansion of (* x y) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of 1 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.794 * [taylor]: Taking taylor expansion of 1.0 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.807 * [taylor]: Taking taylor expansion of 2.0 in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.807 * [taylor]: Taking taylor expansion of (* x y) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.810 * [taylor]: Taking taylor expansion of 2.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.810 * [taylor]: Taking taylor expansion of (* x y) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.813 * [taylor]: Taking taylor expansion of 2.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.813 * [taylor]: Taking taylor expansion of (* x y) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of 1 in y 0.815 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.815 * [taylor]: Taking taylor expansion of 1.0 in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.827 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.827 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.827 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.827 * [taylor]: Taking taylor expansion of 2.0 in y 0.827 * [taylor]: Taking taylor expansion of (* x y) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.829 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.829 * [taylor]: Taking taylor expansion of 2.0 in x 0.829 * [taylor]: Taking taylor expansion of (* x y) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.830 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.830 * [taylor]: Taking taylor expansion of 2.0 in x 0.830 * [taylor]: Taking taylor expansion of (* x y) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of 1.0 in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.839 * [taylor]: Taking taylor expansion of 2.0 in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.839 * [taylor]: Taking taylor expansion of (* x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.842 * [taylor]: Taking taylor expansion of 2.0 in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.843 * [taylor]: Taking taylor expansion of (* x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.848 * [taylor]: Taking taylor expansion of 2.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.848 * [taylor]: Taking taylor expansion of (* x y) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.864 * [taylor]: Taking taylor expansion of 2.0 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.864 * [taylor]: Taking taylor expansion of (* x y) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.867 * [taylor]: Taking taylor expansion of 2.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.867 * [taylor]: Taking taylor expansion of (* x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.870 * [taylor]: Taking taylor expansion of 2.0 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.870 * [taylor]: Taking taylor expansion of (* x y) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of 1 in y 0.872 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.872 * [taylor]: Taking taylor expansion of 1.0 in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.884 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.884 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.884 * [taylor]: Taking taylor expansion of 2.0 in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.884 * [taylor]: Taking taylor expansion of 2.0 in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.885 * [taylor]: Taking taylor expansion of 2.0 in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.886 * [taylor]: Taking taylor expansion of 2.0 in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.893 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.893 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.893 * [taylor]: Taking taylor expansion of 2.0 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.894 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.894 * [taylor]: Taking taylor expansion of 2.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.895 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.895 * [taylor]: Taking taylor expansion of 2.0 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of 1 in y 0.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.897 * [taylor]: Taking taylor expansion of 2.0 in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.907 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.907 * [taylor]: Taking taylor expansion of 2.0 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of 2.0 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.909 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.909 * [taylor]: Taking taylor expansion of 2.0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1 in y 0.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.911 * [taylor]: Taking taylor expansion of 2.0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.922 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.922 * [taylor]: Taking taylor expansion of 2.0 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.922 * [taylor]: Taking taylor expansion of 2.0 in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.922 * [taylor]: Taking taylor expansion of 2.0 in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.923 * [taylor]: Taking taylor expansion of 2.0 in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 1 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.930 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.930 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.930 * [taylor]: Taking taylor expansion of 2.0 in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.934 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.934 * [taylor]: Taking taylor expansion of 2.0 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.935 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.935 * [taylor]: Taking taylor expansion of 2.0 in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1 in y 0.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.937 * [taylor]: Taking taylor expansion of 2.0 in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.947 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.947 * [taylor]: Taking taylor expansion of 2.0 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.948 * [taylor]: Taking taylor expansion of 2.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.949 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.949 * [taylor]: Taking taylor expansion of 2.0 in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of 1 in y 0.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.951 * [taylor]: Taking taylor expansion of 2.0 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.962 * * * [progress]: simplifying candidates 0.963 * [simplify]: Simplifying using # : (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt 1) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt 1) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* 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))) (* 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))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (pow x 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))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.969 * * [simplify]: iteration 0 : 221 enodes (cost 514 ) 0.975 * * [simplify]: iteration 1 : 947 enodes (cost 492 ) 0.998 * * [simplify]: iteration 2 : 4803 enodes (cost 490 ) 1.104 * * [simplify]: iteration 3 : 5002 enodes (cost 490 ) 1.107 * [simplify]: Simplified to: (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (pow (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) 3) (fabs (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) 1 (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) 1/2 (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (pow (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) 3) (fabs (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) 1 (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) 1/2 (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* 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 (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 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)) (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 (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 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))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 1.107 * * * [progress]: adding candidates to table 1.302 * [progress]: [Phase 3 of 3] Extracting. 1.302 * * [regime]: Finding splitpoints for: (# # # #) 1.303 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.303 * * * * [regimes]: Trying to branch on y from (# # # #) 1.320 * * * * [regimes]: Trying to branch on x from (# # # #) 1.338 * * * [regime]: Found split indices: #