16.599 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.050 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.052 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.053 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.055 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.055 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.088 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (* 2.0 (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.100 * [taylor]: Taking taylor expansion of (* x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (* 2.0 (/ 1 (* x y))) in y 0.112 * [taylor]: Taking taylor expansion of 2.0 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.112 * [taylor]: Taking taylor expansion of (* x y) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (* 2.0 (/ 1 (* x y))) in x 0.113 * [taylor]: Taking taylor expansion of 2.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.114 * [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 0.115 * [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 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.127 * [taylor]: Taking taylor expansion of 2.0 in y 0.127 * [taylor]: Taking taylor expansion of (* x y) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.128 * [taylor]: Taking taylor expansion of 2.0 in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.133 * [taylor]: Taking taylor expansion of (* x y) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.134 * [taylor]: Taking taylor expansion of (* x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.135 * [taylor]: Taking taylor expansion of (* x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.140 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.141 * [taylor]: Taking taylor expansion of 2.0 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.141 * [taylor]: Taking taylor expansion of (* x y) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.142 * [taylor]: Taking taylor expansion of 2.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.142 * [taylor]: Taking taylor expansion of (* x y) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.143 * [taylor]: Taking taylor expansion of 2.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.143 * [taylor]: Taking taylor expansion of (* x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.145 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.148 * * * [progress]: simplifying candidates 0.153 * [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)))) 0.157 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.163 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.184 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.310 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.311 * [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))) 0.311 * * * [progress]: adding candidates to table 0.373 * * [progress]: iteration 2 / 4 0.373 * * * [progress]: picking best candidate 0.376 * * * * [pick]: Picked # 0.376 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.383 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.393 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.397 * * * [progress]: generating series expansions 0.397 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.397 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.397 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.397 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.397 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.397 * [taylor]: Taking taylor expansion of 2.0 in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.397 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.397 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.397 * [taylor]: Taking taylor expansion of 2.0 in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.397 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.397 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.397 * [taylor]: Taking taylor expansion of 2.0 in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0 in x 0.399 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.399 * [taylor]: Taking taylor expansion of 2.0 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 1 in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.405 * [taylor]: Taking taylor expansion of 0 in x 0.405 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of 2.0 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of 2.0 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.407 * [taylor]: Taking taylor expansion of 2.0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 1 in x 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of 2.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 0 in x 0.415 * [taylor]: Taking taylor expansion of 0 in x 0.419 * [taylor]: Taking taylor expansion of 0 in x 0.419 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of 2.0 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.421 * [taylor]: Taking taylor expansion of 2.0 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.422 * [taylor]: Taking taylor expansion of 2.0 in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of 2.0 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of 0 in x 0.429 * [taylor]: Taking taylor expansion of 0 in x 0.437 * [taylor]: Taking taylor expansion of 0 in x 0.438 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.438 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.438 * [taylor]: Taking taylor expansion of 2.0 in y 0.438 * [taylor]: Taking taylor expansion of (* x y) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.438 * [taylor]: Taking taylor expansion of 2.0 in x 0.438 * [taylor]: Taking taylor expansion of (* x y) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.438 * [taylor]: Taking taylor expansion of 2.0 in x 0.439 * [taylor]: Taking taylor expansion of (* x y) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.440 * [taylor]: Taking taylor expansion of 2.0 in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.444 * [taylor]: Taking taylor expansion of 2.0 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.445 * [taylor]: Taking taylor expansion of (* x y) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.446 * [taylor]: Taking taylor expansion of 2.0 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.446 * [taylor]: Taking taylor expansion of (* x y) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.447 * [taylor]: Taking taylor expansion of 2.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.447 * [taylor]: Taking taylor expansion of (* x y) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.448 * [taylor]: Taking taylor expansion of 2.0 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.453 * [taylor]: Taking taylor expansion of 2.0 in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.453 * [taylor]: Taking taylor expansion of (* x y) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.454 * [taylor]: Taking taylor expansion of 2.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.454 * [taylor]: Taking taylor expansion of (* x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.455 * [taylor]: Taking taylor expansion of 2.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.455 * [taylor]: Taking taylor expansion of (* x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.457 * [taylor]: Taking taylor expansion of 2.0 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.460 * * * [progress]: simplifying candidates 0.461 * [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 (* x x)) (exp (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* y (+ (* x 2.0) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* (* 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)))) 0.465 * * [simplify]: iteration 0 : 224 enodes (cost 234 ) 0.470 * * [simplify]: iteration 1 : 1140 enodes (cost 214 ) 0.497 * * [simplify]: iteration 2 : 5002 enodes (cost 214 ) 0.499 * [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 (+ (* x x) (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (pow (+ (* x x) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* y (+ (* x 2.0) y)) (- (* y (+ (* x 2.0) y)) (pow x 2))) (* (* x x) (* x x))) (+ (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (pow x 4)) (- (* x x) (* 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)) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) 0.499 * * * [progress]: adding candidates to table 0.565 * * [progress]: iteration 3 / 4 0.565 * * * [progress]: picking best candidate 0.571 * * * * [pick]: Picked # 0.571 * * * [progress]: localizing error 0.578 * * * [progress]: generating rewritten candidates 0.578 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.591 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.597 * * * [progress]: generating series expansions 0.597 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.597 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.597 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.597 * [taylor]: Taking taylor expansion of 2.0 in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.598 * [taylor]: Taking taylor expansion of 2.0 in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.598 * [taylor]: Taking taylor expansion of 2.0 in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.599 * [taylor]: Taking taylor expansion of 2.0 in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.606 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.606 * [taylor]: Taking taylor expansion of 2.0 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.607 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.607 * [taylor]: Taking taylor expansion of 2.0 in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.608 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.610 * [taylor]: Taking taylor expansion of 2.0 in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.620 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.620 * [taylor]: Taking taylor expansion of 2.0 in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.621 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.621 * [taylor]: Taking taylor expansion of 2.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.622 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.622 * [taylor]: Taking taylor expansion of 2.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of 1 in y 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.624 * [taylor]: Taking taylor expansion of 2.0 in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.634 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.634 * [taylor]: Taking taylor expansion of 2.0 in y 0.634 * [taylor]: Taking taylor expansion of (* x y) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.635 * [taylor]: Taking taylor expansion of 2.0 in x 0.635 * [taylor]: Taking taylor expansion of (* x y) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.635 * [taylor]: Taking taylor expansion of 2.0 in x 0.635 * [taylor]: Taking taylor expansion of (* x y) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.636 * [taylor]: Taking taylor expansion of 2.0 in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of 1 in y 0.640 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.641 * [taylor]: Taking taylor expansion of 2.0 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.641 * [taylor]: Taking taylor expansion of (* x y) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.642 * [taylor]: Taking taylor expansion of 2.0 in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.642 * [taylor]: Taking taylor expansion of (* x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.643 * [taylor]: Taking taylor expansion of 2.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.643 * [taylor]: Taking taylor expansion of (* x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of 1 in y 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.644 * [taylor]: Taking taylor expansion of 2.0 in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.648 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.649 * [taylor]: Taking taylor expansion of 2.0 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.649 * [taylor]: Taking taylor expansion of (* x y) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.650 * [taylor]: Taking taylor expansion of 2.0 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.650 * [taylor]: Taking taylor expansion of (* x y) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.651 * [taylor]: Taking taylor expansion of 2.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.652 * [taylor]: Taking taylor expansion of (* x y) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.653 * [taylor]: Taking taylor expansion of 2.0 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.656 * * * [progress]: simplifying candidates 0.657 * [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)))) 0.661 * * [simplify]: iteration 0 : 225 enodes (cost 237 ) 0.666 * * [simplify]: iteration 1 : 1110 enodes (cost 217 ) 0.690 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.692 * [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 x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* 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))) 0.692 * * * [progress]: adding candidates to table 0.766 * * [progress]: iteration 4 / 4 0.766 * * * [progress]: picking best candidate 0.772 * * * * [pick]: Picked # 0.772 * * * [progress]: localizing error 0.781 * * * [progress]: generating rewritten candidates 0.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.821 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.822 * [taylor]: Taking taylor expansion of 2.0 in y 0.822 * [taylor]: Taking taylor expansion of (* x y) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.824 * [taylor]: Taking taylor expansion of 2.0 in x 0.824 * [taylor]: Taking taylor expansion of (* x y) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.825 * [taylor]: Taking taylor expansion of 2.0 in x 0.825 * [taylor]: Taking taylor expansion of (* x y) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 1.0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.833 * [taylor]: Taking taylor expansion of 2.0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.833 * [taylor]: Taking taylor expansion of (* x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.836 * [taylor]: Taking taylor expansion of 2.0 in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.836 * [taylor]: Taking taylor expansion of (* x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.839 * [taylor]: Taking taylor expansion of 2.0 in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.839 * [taylor]: Taking taylor expansion of (* x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.841 * [taylor]: Taking taylor expansion of 1.0 in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.854 * [taylor]: Taking taylor expansion of 2.0 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.854 * [taylor]: Taking taylor expansion of (* x y) in y 0.854 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.857 * [taylor]: Taking taylor expansion of 2.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.857 * [taylor]: Taking taylor expansion of (* x y) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.860 * [taylor]: Taking taylor expansion of 2.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.860 * [taylor]: Taking taylor expansion of (* x y) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of 1 in y 0.862 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.862 * [taylor]: Taking taylor expansion of 1.0 in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.874 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.874 * [taylor]: Taking taylor expansion of 2.0 in y 0.874 * [taylor]: Taking taylor expansion of (* x y) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.876 * [taylor]: Taking taylor expansion of 2.0 in x 0.876 * [taylor]: Taking taylor expansion of (* x y) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.877 * [taylor]: Taking taylor expansion of 2.0 in x 0.877 * [taylor]: Taking taylor expansion of (* x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of 1.0 in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.886 * [taylor]: Taking taylor expansion of 2.0 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.886 * [taylor]: Taking taylor expansion of (* x y) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.889 * [taylor]: Taking taylor expansion of 2.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.889 * [taylor]: Taking taylor expansion of (* x y) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.892 * [taylor]: Taking taylor expansion of 2.0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.892 * [taylor]: Taking taylor expansion of (* x y) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of 1 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.894 * [taylor]: Taking taylor expansion of 1.0 in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.913 * [taylor]: Taking taylor expansion of 2.0 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.913 * [taylor]: Taking taylor expansion of (* x y) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.916 * [taylor]: Taking taylor expansion of 2.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.916 * [taylor]: Taking taylor expansion of (* x y) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.919 * [taylor]: Taking taylor expansion of 2.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.919 * [taylor]: Taking taylor expansion of (* x y) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.921 * [taylor]: Taking taylor expansion of 1.0 in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.934 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.934 * [taylor]: Taking taylor expansion of 2.0 in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.934 * [taylor]: Taking taylor expansion of 2.0 in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.934 * [taylor]: Taking taylor expansion of 2.0 in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.935 * [taylor]: Taking taylor expansion of 2.0 in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of 1 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.942 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.942 * [taylor]: Taking taylor expansion of 2.0 in y 0.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.943 * [taylor]: Taking taylor expansion of 2.0 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.944 * [taylor]: Taking taylor expansion of 2.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.946 * [taylor]: Taking taylor expansion of 2.0 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.956 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.957 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.957 * [taylor]: Taking taylor expansion of 2.0 in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.957 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.958 * [taylor]: Taking taylor expansion of 2.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.958 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.958 * [taylor]: Taking taylor expansion of 2.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 1 in y 0.960 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.960 * [taylor]: Taking taylor expansion of 2.0 in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.971 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.971 * [taylor]: Taking taylor expansion of 2.0 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.971 * [taylor]: Taking taylor expansion of 2.0 in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.971 * [taylor]: Taking taylor expansion of 2.0 in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.972 * [taylor]: Taking taylor expansion of 2.0 in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of 1 in y 0.976 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.979 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.979 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.979 * [taylor]: Taking taylor expansion of 2.0 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.980 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.980 * [taylor]: Taking taylor expansion of 2.0 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.981 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.981 * [taylor]: Taking taylor expansion of 2.0 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of 1 in y 0.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.983 * [taylor]: Taking taylor expansion of 2.0 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.998 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.998 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of 2.0 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.999 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.999 * [taylor]: Taking taylor expansion of 2.0 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.999 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 1.000 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 1.000 * [taylor]: Taking taylor expansion of 2.0 in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of 1 in y 1.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.002 * [taylor]: Taking taylor expansion of 2.0 in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.012 * * * [progress]: simplifying candidates 1.013 * [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))) 1.018 * * [simplify]: iteration 0 : 221 enodes (cost 514 ) 1.023 * * [simplify]: iteration 1 : 947 enodes (cost 492 ) 1.045 * * [simplify]: iteration 2 : 4803 enodes (cost 490 ) 1.150 * * [simplify]: iteration 3 : 5002 enodes (cost 490 ) 1.152 * [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)) 1.153 * * * [progress]: adding candidates to table 1.358 * [progress]: [Phase 3 of 3] Extracting. 1.358 * * [regime]: Finding splitpoints for: (# # # #) 1.359 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.359 * * * * [regimes]: Trying to branch on y from (# # # #) 1.375 * * * * [regimes]: Trying to branch on x from (# # # #) 1.395 * * * [regime]: Found split indices: #