39.599 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.032 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.034 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.036 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.038 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.038 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.061 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (* x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of 2.0 in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of 2.0 in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.072 * [taylor]: Taking taylor expansion of 2.0 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.072 * [taylor]: Taking taylor expansion of (* x y) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of 2.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.073 * [taylor]: Taking taylor expansion of (* x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.087 * [taylor]: Taking taylor expansion of 2.0 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.087 * [taylor]: Taking taylor expansion of (* x y) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.104 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (* x y) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.112 * [taylor]: Taking taylor expansion of (* x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.120 * [taylor]: Taking taylor expansion of 2.0 in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.120 * [taylor]: Taking taylor expansion of (* x y) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.121 * [taylor]: Taking taylor expansion of (* x y) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of 2.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.128 * * * [progress]: simplifying candidates 0.128 * [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)))) 0.133 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.139 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.163 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.293 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.294 * [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))) 0.295 * * * [progress]: adding candidates to table 0.344 * * [progress]: iteration 2 / 4 0.344 * * * [progress]: picking best candidate 0.347 * * * * [pick]: Picked # 0.347 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.389 * * * [progress]: generating series expansions 0.389 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.389 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.389 * [taylor]: Taking taylor expansion of 2.0 in y 0.390 * [taylor]: Taking taylor expansion of (* x y) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.391 * [taylor]: Taking taylor expansion of 2.0 in x 0.391 * [taylor]: Taking taylor expansion of (* x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.393 * [taylor]: Taking taylor expansion of 2.0 in x 0.393 * [taylor]: Taking taylor expansion of (* x y) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.402 * [taylor]: Taking taylor expansion of 2.0 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.402 * [taylor]: Taking taylor expansion of (* x y) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.406 * [taylor]: Taking taylor expansion of 2.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.406 * [taylor]: Taking taylor expansion of (* x y) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.409 * [taylor]: Taking taylor expansion of 2.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.409 * [taylor]: Taking taylor expansion of (* x y) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.427 * [taylor]: Taking taylor expansion of 2.0 in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.427 * [taylor]: Taking taylor expansion of (* x y) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.431 * [taylor]: Taking taylor expansion of 2.0 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.431 * [taylor]: Taking taylor expansion of (* x y) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.433 * [taylor]: Taking taylor expansion of 2.0 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.433 * [taylor]: Taking taylor expansion of (* x y) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.436 * [taylor]: Taking taylor expansion of 1.0 in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.448 * [taylor]: Taking taylor expansion of 2.0 in y 0.448 * [taylor]: Taking taylor expansion of (* x y) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.450 * [taylor]: Taking taylor expansion of (* x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.452 * [taylor]: Taking taylor expansion of 2.0 in x 0.452 * [taylor]: Taking taylor expansion of (* x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 1.0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.461 * [taylor]: Taking taylor expansion of 2.0 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.461 * [taylor]: Taking taylor expansion of (* x y) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.464 * [taylor]: Taking taylor expansion of 2.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.464 * [taylor]: Taking taylor expansion of (* x y) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.467 * [taylor]: Taking taylor expansion of 2.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.467 * [taylor]: Taking taylor expansion of (* x y) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.469 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.469 * [taylor]: Taking taylor expansion of 1.0 in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.483 * [taylor]: Taking taylor expansion of 2.0 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.483 * [taylor]: Taking taylor expansion of (* x y) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.486 * [taylor]: Taking taylor expansion of 2.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.486 * [taylor]: Taking taylor expansion of (* x y) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.489 * [taylor]: Taking taylor expansion of 2.0 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.489 * [taylor]: Taking taylor expansion of (* x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.492 * [taylor]: Taking taylor expansion of 1.0 in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.506 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.506 * [taylor]: Taking taylor expansion of 2.0 in y 0.506 * [taylor]: Taking taylor expansion of (* x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.508 * [taylor]: Taking taylor expansion of 2.0 in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.512 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.516 * [taylor]: Taking taylor expansion of 2.0 in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.516 * [taylor]: Taking taylor expansion of (* x y) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.517 * [taylor]: Taking taylor expansion of 2.0 in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.517 * [taylor]: Taking taylor expansion of (* x y) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.518 * [taylor]: Taking taylor expansion of 2.0 in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.519 * [taylor]: Taking taylor expansion of (* x y) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of 1 in y 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.520 * [taylor]: Taking taylor expansion of 2.0 in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.524 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.525 * [taylor]: Taking taylor expansion of 2.0 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.525 * [taylor]: Taking taylor expansion of (* x y) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.526 * [taylor]: Taking taylor expansion of 2.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.526 * [taylor]: Taking taylor expansion of (* x y) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.528 * [taylor]: Taking taylor expansion of 2.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.528 * [taylor]: Taking taylor expansion of (* x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of 2.0 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.533 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.533 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.533 * [taylor]: Taking taylor expansion of 2.0 in y 0.533 * [taylor]: Taking taylor expansion of (* x y) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.533 * [taylor]: Taking taylor expansion of 2.0 in x 0.533 * [taylor]: Taking taylor expansion of (* x y) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.533 * [taylor]: Taking taylor expansion of 2.0 in x 0.533 * [taylor]: Taking taylor expansion of (* x y) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.534 * [taylor]: Taking taylor expansion of 2.0 in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.543 * [taylor]: Taking taylor expansion of 2.0 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.543 * [taylor]: Taking taylor expansion of (* x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.544 * [taylor]: Taking taylor expansion of 2.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.544 * [taylor]: Taking taylor expansion of (* x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.545 * [taylor]: Taking taylor expansion of 2.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.545 * [taylor]: Taking taylor expansion of (* x y) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.547 * [taylor]: Taking taylor expansion of 2.0 in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.559 * [taylor]: Taking taylor expansion of 2.0 in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.559 * [taylor]: Taking taylor expansion of (* x y) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.560 * [taylor]: Taking taylor expansion of 2.0 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.560 * [taylor]: Taking taylor expansion of (* x y) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.561 * [taylor]: Taking taylor expansion of 2.0 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.561 * [taylor]: Taking taylor expansion of (* x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.562 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.562 * [taylor]: Taking taylor expansion of 2.0 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.574 * * * [progress]: simplifying candidates 0.575 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* 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)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* 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)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* 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)))) (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (log (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (exp (* (sqrt (+ (+ (* 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))) (sqrt (+ (+ (* 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))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (cbrt (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (cbrt (* (sqrt (+ (+ (* 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))) (sqrt (+ (+ (* 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))))) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* 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 (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (* (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y 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)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)))) (* (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (* (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))))) (* (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (* (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (sqrt (sqrt (+ (+ 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x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.585 * * [simplify]: iteration 0 : 275 enodes (cost 1209 ) 0.592 * * [simplify]: iteration 1 : 1370 enodes (cost 1079 ) 0.623 * * [simplify]: iteration 2 : 5001 enodes (cost 1036 ) 0.629 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) 1 (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* 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(+ (* 2.0 y) x))) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))))) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))))) (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (* x (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.630 * * * [progress]: adding candidates to table 0.816 * * [progress]: iteration 3 / 4 0.816 * * * [progress]: picking best candidate 0.819 * * * * [pick]: Picked # 0.819 * * * [progress]: localizing error 0.826 * * * [progress]: generating rewritten candidates 0.826 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.833 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.840 * * * [progress]: generating series expansions 0.840 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.840 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.840 * [taylor]: Taking taylor expansion of 2.0 in x 0.840 * [taylor]: Taking taylor expansion of (* x y) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.840 * [taylor]: Taking taylor expansion of 2.0 in y 0.840 * [taylor]: Taking taylor expansion of (* x y) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.841 * [taylor]: Taking taylor expansion of 2.0 in y 0.841 * [taylor]: Taking taylor expansion of (* x y) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.842 * [taylor]: Taking taylor expansion of 2.0 in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of 1 in x 0.846 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.850 * [taylor]: Taking taylor expansion of 2.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.851 * [taylor]: Taking taylor expansion of (* x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.851 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.852 * [taylor]: Taking taylor expansion of 2.0 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.852 * [taylor]: Taking taylor expansion of (* x y) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.853 * [taylor]: Taking taylor expansion of 2.0 in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.853 * [taylor]: Taking taylor expansion of (* x y) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 1 in x 0.855 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of 2.0 in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.857 * [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 0.859 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 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 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.859 * [taylor]: Taking taylor expansion of 2.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.859 * [taylor]: Taking taylor expansion of (* x y) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.861 * [taylor]: Taking taylor expansion of 2.0 in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.861 * [taylor]: Taking taylor expansion of (* x y) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.862 * [taylor]: Taking taylor expansion of 2.0 in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.862 * [taylor]: Taking taylor expansion of (* x y) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of 1 in x 0.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 2.0 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.867 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.867 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.867 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.867 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.867 * [taylor]: Taking taylor expansion of 2.0 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.867 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.867 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.867 * [taylor]: Taking taylor expansion of 2.0 in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.867 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.867 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.867 * [taylor]: Taking taylor expansion of 2.0 in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of 0 in x 0.869 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.869 * [taylor]: Taking taylor expansion of 2.0 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1 in x 0.872 * [taylor]: Taking taylor expansion of 0 in x 0.875 * [taylor]: Taking taylor expansion of 0 in x 0.875 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.875 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of 2.0 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.877 * [taylor]: Taking taylor expansion of 2.0 in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.877 * [taylor]: Taking taylor expansion of 2.0 in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 1 in x 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of 2.0 in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 0 in x 0.885 * [taylor]: Taking taylor expansion of 0 in x 0.889 * [taylor]: Taking taylor expansion of 0 in x 0.890 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.890 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of 2.0 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.891 * [taylor]: Taking taylor expansion of 2.0 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.892 * [taylor]: Taking taylor expansion of 2.0 in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of 1 in x 0.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of 2.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of 0 in x 0.900 * [taylor]: Taking taylor expansion of 0 in x 0.904 * [taylor]: Taking taylor expansion of 0 in x 0.904 * * * [progress]: simplifying candidates 0.905 * [simplify]: Simplifying using # : (* (exp (* y (+ (* x 2.0) y))) (exp (* x x))) (log (+ (* y (+ (* x 2.0) y)) (* x x))) (exp (+ (* y (+ (* x 2.0) y)) (* x x))) (* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (cbrt (+ (* 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)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x))) (- (* y (+ (* x 2.0) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 0.909 * * [simplify]: iteration 0 : 222 enodes (cost 234 ) 0.914 * * [simplify]: iteration 1 : 1119 enodes (cost 217 ) 0.938 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.940 * [simplify]: Simplified to: (exp (+ (* y (+ (* x 2.0) y)) (* x x))) (log (+ (* y (+ (* x 2.0) y)) (* x x))) (exp (+ (* y (+ (* x 2.0) y)) (* x x))) (* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)) (+ (* (pow x 2) (- (pow x 2) (* y (+ (* x 2.0) y)))) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x))) (- (* y (+ (* x 2.0) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* y (* x 2.0)) (pow y 2) (* y (* x 2.0)) (pow y 2) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (* y (+ (* x 2.0) y)) (* x x)) (+ (* y (+ (* x 2.0) y)) (* x x)) (+ (* y (+ (* x 2.0) y)) (* x x)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) 0.940 * * * [progress]: adding candidates to table 0.995 * * [progress]: iteration 4 / 4 0.995 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 1.009 * * * [progress]: generating rewritten candidates 1.009 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.014 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.020 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.025 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.051 * * * [progress]: generating series expansions 1.051 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.052 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.052 * [taylor]: Taking taylor expansion of 2.0 in y 1.052 * [taylor]: Taking taylor expansion of (* x y) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.054 * [taylor]: Taking taylor expansion of 2.0 in x 1.054 * [taylor]: Taking taylor expansion of (* x y) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.055 * [taylor]: Taking taylor expansion of 2.0 in x 1.055 * [taylor]: Taking taylor expansion of (* x y) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of 1.0 in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.064 * [taylor]: Taking taylor expansion of 2.0 in y 1.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.064 * [taylor]: Taking taylor expansion of (* x y) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.067 * [taylor]: Taking taylor expansion of 2.0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.067 * [taylor]: Taking taylor expansion of (* x y) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.070 * [taylor]: Taking taylor expansion of 2.0 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.070 * [taylor]: Taking taylor expansion of (* x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of 1 in y 1.072 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.072 * [taylor]: Taking taylor expansion of 1.0 in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.085 * [taylor]: Taking taylor expansion of 2.0 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.085 * [taylor]: Taking taylor expansion of (* x y) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.089 * [taylor]: Taking taylor expansion of 2.0 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.089 * [taylor]: Taking taylor expansion of (* x y) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.092 * [taylor]: Taking taylor expansion of 2.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.092 * [taylor]: Taking taylor expansion of (* x y) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.094 * [taylor]: Taking taylor expansion of 1 in y 1.094 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.094 * [taylor]: Taking taylor expansion of 1.0 in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.106 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 1.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.106 * [taylor]: Taking taylor expansion of 2.0 in y 1.106 * [taylor]: Taking taylor expansion of (* x y) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.108 * [taylor]: Taking taylor expansion of 2.0 in x 1.108 * [taylor]: Taking taylor expansion of (* x y) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.109 * [taylor]: Taking taylor expansion of 2.0 in x 1.109 * [taylor]: Taking taylor expansion of (* x y) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of 1.0 in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.118 * [taylor]: Taking taylor expansion of 2.0 in y 1.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.118 * [taylor]: Taking taylor expansion of (* x y) in y 1.118 * [taylor]: Taking taylor expansion of x in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.121 * [taylor]: Taking taylor expansion of 2.0 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.121 * [taylor]: Taking taylor expansion of (* x y) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.124 * [taylor]: Taking taylor expansion of 2.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.124 * [taylor]: Taking taylor expansion of (* x y) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of 1 in y 1.131 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.131 * [taylor]: Taking taylor expansion of 1.0 in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.145 * [taylor]: Taking taylor expansion of 2.0 in y 1.145 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.145 * [taylor]: Taking taylor expansion of (* x y) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.148 * [taylor]: Taking taylor expansion of 2.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.148 * [taylor]: Taking taylor expansion of (* x y) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.151 * [taylor]: Taking taylor expansion of 2.0 in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.151 * [taylor]: Taking taylor expansion of (* x y) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of 1 in y 1.153 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.153 * [taylor]: Taking taylor expansion of 1.0 in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.164 * [taylor]: Taking taylor expansion of 0 in y 1.170 * [taylor]: Taking taylor expansion of 0 in y 1.170 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.170 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 1.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.170 * [taylor]: Taking taylor expansion of 2.0 in y 1.170 * [taylor]: Taking taylor expansion of (* x y) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.172 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.172 * [taylor]: Taking taylor expansion of 2.0 in x 1.172 * [taylor]: Taking taylor expansion of (* x y) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.173 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.173 * [taylor]: Taking taylor expansion of 2.0 in x 1.173 * [taylor]: Taking taylor expansion of (* x y) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of 1.0 in y 1.178 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.182 * [taylor]: Taking taylor expansion of 2.0 in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.182 * [taylor]: Taking taylor expansion of (* x y) in y 1.182 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.185 * [taylor]: Taking taylor expansion of y in x 1.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.185 * [taylor]: Taking taylor expansion of 2.0 in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.185 * [taylor]: Taking taylor expansion of (* x y) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.188 * [taylor]: Taking taylor expansion of 2.0 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.188 * [taylor]: Taking taylor expansion of (* x y) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of 1 in y 1.190 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.190 * [taylor]: Taking taylor expansion of 1.0 in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.193 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.203 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.203 * [taylor]: Taking taylor expansion of 2.0 in y 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.203 * [taylor]: Taking taylor expansion of (* x y) in y 1.203 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.206 * [taylor]: Taking taylor expansion of 2.0 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.206 * [taylor]: Taking taylor expansion of (* x y) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.209 * [taylor]: Taking taylor expansion of 2.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.209 * [taylor]: Taking taylor expansion of (* x y) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of 1 in y 1.211 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.211 * [taylor]: Taking taylor expansion of 1.0 in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.228 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.228 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 1.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 1.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.228 * [taylor]: Taking taylor expansion of 2.0 in y 1.228 * [taylor]: Taking taylor expansion of (* x y) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.230 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.230 * [taylor]: Taking taylor expansion of 2.0 in x 1.230 * [taylor]: Taking taylor expansion of (* x y) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.231 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.231 * [taylor]: Taking taylor expansion of 2.0 in x 1.231 * [taylor]: Taking taylor expansion of (* x y) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of 1.0 in y 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.239 * [taylor]: Taking taylor expansion of x in y 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.240 * [taylor]: Taking taylor expansion of 2.0 in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.240 * [taylor]: Taking taylor expansion of (* x y) in y 1.240 * [taylor]: Taking taylor expansion of x in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.243 * [taylor]: Taking taylor expansion of y in x 1.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.243 * [taylor]: Taking taylor expansion of 2.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.243 * [taylor]: Taking taylor expansion of (* x y) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.246 * [taylor]: Taking taylor expansion of 2.0 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.246 * [taylor]: Taking taylor expansion of (* x y) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of 1 in y 1.248 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.248 * [taylor]: Taking taylor expansion of 1.0 in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.260 * [taylor]: Taking taylor expansion of 0 in y 1.261 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.261 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.262 * [taylor]: Taking taylor expansion of 2.0 in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.262 * [taylor]: Taking taylor expansion of (* x y) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.265 * [taylor]: Taking taylor expansion of 2.0 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.265 * [taylor]: Taking taylor expansion of (* x y) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.267 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.267 * [taylor]: Taking taylor expansion of 2.0 in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.267 * [taylor]: Taking taylor expansion of (* x y) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.270 * [taylor]: Taking taylor expansion of 1 in y 1.270 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.270 * [taylor]: Taking taylor expansion of 1.0 in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.282 * * * [progress]: simplifying candidates 1.284 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* 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)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* 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)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (cbrt (sqrt (+ (+ (* 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)))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* 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)))) (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ 1 1) (+ (log (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (log (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (log (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (exp (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))) (* (* (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) (* (* (sqrt (sqrt (+ (+ (* x x) 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(* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y)))))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (neg (+ x (* 1.0 y))) 1.330 * * * [progress]: adding candidates to table 1.570 * [progress]: [Phase 3 of 3] Extracting. 1.570 * * [regime]: Finding splitpoints for: (# # #) 1.571 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 1.571 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# # #) 1.587 * * * * [regimes]: Trying to branch on y from (# # #) 1.600 * * * * [regimes]: Trying to branch on x from (# # #) 1.612 * * * [regime]: Found split indices: #