25.835 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.027 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.029 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.029 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.057 * [taylor]: Taking taylor expansion of 2.0 in x 0.057 * [taylor]: Taking taylor expansion of (* x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.057 * [taylor]: Taking taylor expansion of 2.0 in y 0.057 * [taylor]: Taking taylor expansion of (* x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.057 * [taylor]: Taking taylor expansion of 2.0 in y 0.057 * [taylor]: Taking taylor expansion of (* x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in x 0.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.065 * [taylor]: Taking taylor expansion of (* x y) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.066 * [taylor]: Taking taylor expansion of (* x y) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 2.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.073 * [taylor]: Taking taylor expansion of (* x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.074 * [taylor]: Taking taylor expansion of 2.0 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.074 * [taylor]: Taking taylor expansion of (* x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1 in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.079 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.080 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.080 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.080 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.080 * [taylor]: Taking taylor expansion of 2.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.080 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.080 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in x 0.081 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1 in x 0.088 * [taylor]: Taking taylor expansion of 0 in x 0.090 * [taylor]: Taking taylor expansion of 0 in x 0.090 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 1 in x 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 0 in x 0.100 * [taylor]: Taking taylor expansion of 0 in x 0.104 * [taylor]: Taking taylor expansion of 0 in x 0.104 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [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 (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 1 in x 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 0 in x 0.114 * [taylor]: Taking taylor expansion of 0 in x 0.117 * [taylor]: Taking taylor expansion of 0 in x 0.118 * * * [progress]: simplifying candidates 0.118 * [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))) 0.124 * * [simplify]: iteration 0 : 222 enodes (cost 234 ) 0.129 * * [simplify]: iteration 1 : 1119 enodes (cost 217 ) 0.157 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.159 * [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)) 0.159 * * * [progress]: adding candidates to table 0.228 * * [progress]: iteration 2 / 4 0.228 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.241 * * * [progress]: generating rewritten candidates 0.241 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.253 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.256 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.257 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.257 * [taylor]: Taking taylor expansion of 2.0 in y 0.257 * [taylor]: Taking taylor expansion of (* x y) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.257 * [taylor]: Taking taylor expansion of 2.0 in x 0.257 * [taylor]: Taking taylor expansion of (* x y) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.257 * [taylor]: Taking taylor expansion of 2.0 in x 0.257 * [taylor]: Taking taylor expansion of (* x y) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.259 * [taylor]: Taking taylor expansion of 2.0 in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.263 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.264 * [taylor]: Taking taylor expansion of 2.0 in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.264 * [taylor]: Taking taylor expansion of (* x y) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of 2.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.266 * [taylor]: Taking taylor expansion of 2.0 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.266 * [taylor]: Taking taylor expansion of (* x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.272 * [taylor]: Taking taylor expansion of (* x y) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.274 * [taylor]: Taking taylor expansion of (* x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.280 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.280 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.280 * [taylor]: Taking taylor expansion of 2.0 in y 0.280 * [taylor]: Taking taylor expansion of (* x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.280 * [taylor]: Taking taylor expansion of 2.0 in x 0.280 * [taylor]: Taking taylor expansion of (* x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.280 * [taylor]: Taking taylor expansion of 2.0 in x 0.280 * [taylor]: Taking taylor expansion of (* x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.281 * [taylor]: Taking taylor expansion of 2.0 in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.290 * [taylor]: Taking taylor expansion of 2.0 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.290 * [taylor]: Taking taylor expansion of (* x y) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.291 * [taylor]: Taking taylor expansion of (* x y) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.291 * [taylor]: Taking taylor expansion of (* x y) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.293 * [taylor]: Taking taylor expansion of 2.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.304 * [taylor]: Taking taylor expansion of (* x y) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.304 * [taylor]: Taking taylor expansion of 2.0 in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.304 * [taylor]: Taking taylor expansion of (* x y) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.305 * [taylor]: Taking taylor expansion of 2.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.305 * [taylor]: Taking taylor expansion of (* x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of 2.0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * * * [progress]: simplifying candidates 0.318 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.322 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.327 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.351 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.476 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.480 * [simplify]: Simplified to: (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (+ (* y (- (* x 2.0) y)) (pow x 2))) (pow y 4)) (* (+ (* y (- (* x 2.0) y)) (pow x 2)) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (* y (- (* x 2.0) y)) (pow x 2)) (* y (+ (* x 2.0) y)) (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (* x (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.481 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 3 / 4 0.537 * * * [progress]: picking best candidate 0.538 * * * * [pick]: Picked # 0.538 * * * [progress]: localizing error 0.549 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.562 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.575 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.638 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.652 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.653 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.653 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.653 * [taylor]: Taking taylor expansion of 2.0 in y 0.653 * [taylor]: Taking taylor expansion of (* x y) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.655 * [taylor]: Taking taylor expansion of 2.0 in x 0.655 * [taylor]: Taking taylor expansion of (* x y) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.656 * [taylor]: Taking taylor expansion of 2.0 in x 0.656 * [taylor]: Taking taylor expansion of (* x y) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 1.0 in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.665 * [taylor]: Taking taylor expansion of 2.0 in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.665 * [taylor]: Taking taylor expansion of (* x y) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.668 * [taylor]: Taking taylor expansion of 2.0 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.668 * [taylor]: Taking taylor expansion of (* x y) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.671 * [taylor]: Taking taylor expansion of 2.0 in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of (* x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of 1 in y 0.673 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.673 * [taylor]: Taking taylor expansion of 1.0 in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.689 * [taylor]: Taking taylor expansion of 2.0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.689 * [taylor]: Taking taylor expansion of (* x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.692 * [taylor]: Taking taylor expansion of 2.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.692 * [taylor]: Taking taylor expansion of (* x y) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.694 * [taylor]: Taking taylor expansion of 2.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.694 * [taylor]: Taking taylor expansion of (* x y) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.697 * [taylor]: Taking taylor expansion of 1.0 in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.709 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.709 * [taylor]: Taking taylor expansion of 2.0 in y 0.709 * [taylor]: Taking taylor expansion of (* x y) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.711 * [taylor]: Taking taylor expansion of 2.0 in x 0.711 * [taylor]: Taking taylor expansion of (* x y) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.712 * [taylor]: Taking taylor expansion of 2.0 in x 0.712 * [taylor]: Taking taylor expansion of (* x y) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of 1.0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.721 * [taylor]: Taking taylor expansion of 2.0 in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.721 * [taylor]: Taking taylor expansion of (* x y) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.724 * [taylor]: Taking taylor expansion of 2.0 in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.724 * [taylor]: Taking taylor expansion of (* x y) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.727 * [taylor]: Taking taylor expansion of 2.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.727 * [taylor]: Taking taylor expansion of (* x y) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.729 * [taylor]: Taking taylor expansion of 1.0 in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.742 * [taylor]: Taking taylor expansion of 2.0 in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.742 * [taylor]: Taking taylor expansion of (* x y) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.745 * [taylor]: Taking taylor expansion of 2.0 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.745 * [taylor]: Taking taylor expansion of (* x y) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.748 * [taylor]: Taking taylor expansion of 2.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.748 * [taylor]: Taking taylor expansion of (* x y) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of 1 in y 0.750 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.750 * [taylor]: Taking taylor expansion of 1.0 in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.762 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.762 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.762 * [taylor]: Taking taylor expansion of 2.0 in y 0.762 * [taylor]: Taking taylor expansion of (* x y) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.762 * [taylor]: Taking taylor expansion of 2.0 in x 0.762 * [taylor]: Taking taylor expansion of (* x y) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.762 * [taylor]: Taking taylor expansion of 2.0 in x 0.763 * [taylor]: Taking taylor expansion of (* x y) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.764 * [taylor]: Taking taylor expansion of 2.0 in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 1 in y 0.768 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.769 * [taylor]: Taking taylor expansion of 2.0 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.769 * [taylor]: Taking taylor expansion of (* x y) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.773 * [taylor]: Taking taylor expansion of 2.0 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.773 * [taylor]: Taking taylor expansion of (* x y) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.774 * [taylor]: Taking taylor expansion of 2.0 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.774 * [taylor]: Taking taylor expansion of (* x y) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of 1 in y 0.775 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.775 * [taylor]: Taking taylor expansion of 2.0 in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.779 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.780 * [taylor]: Taking taylor expansion of 2.0 in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.780 * [taylor]: Taking taylor expansion of (* x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.781 * [taylor]: Taking taylor expansion of 2.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.781 * [taylor]: Taking taylor expansion of (* x y) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.783 * [taylor]: Taking taylor expansion of 2.0 in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.783 * [taylor]: Taking taylor expansion of (* x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of 1 in y 0.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.784 * [taylor]: Taking taylor expansion of 2.0 in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.788 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.788 * [taylor]: Taking taylor expansion of 2.0 in y 0.788 * [taylor]: Taking taylor expansion of (* x y) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.788 * [taylor]: Taking taylor expansion of 2.0 in x 0.788 * [taylor]: Taking taylor expansion of (* x y) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.789 * [taylor]: Taking taylor expansion of 2.0 in x 0.789 * [taylor]: Taking taylor expansion of (* x y) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.790 * [taylor]: Taking taylor expansion of 2.0 in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of 1 in y 0.794 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.794 * [taylor]: Taking taylor expansion of 2.0 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.794 * [taylor]: Taking taylor expansion of (* x y) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.796 * [taylor]: Taking taylor expansion of 2.0 in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.796 * [taylor]: Taking taylor expansion of (* x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.797 * [taylor]: Taking taylor expansion of 2.0 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.797 * [taylor]: Taking taylor expansion of (* x y) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of 1 in y 0.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 2.0 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.802 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.802 * [taylor]: Taking taylor expansion of x in y 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.803 * [taylor]: Taking taylor expansion of 2.0 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.803 * [taylor]: Taking taylor expansion of (* x y) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.804 * [taylor]: Taking taylor expansion of 2.0 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.804 * [taylor]: Taking taylor expansion of (* x y) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.805 * [taylor]: Taking taylor expansion of 2.0 in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.805 * [taylor]: Taking taylor expansion of (* x y) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of 1 in y 0.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.807 * [taylor]: Taking taylor expansion of 2.0 in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.810 * * * [progress]: simplifying candidates 0.812 * [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 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2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (pow y 4) (- (* (pow x 2) (* (+ (* 2.0 y) x) (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) y) y))) (* (+ (* 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)) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) 0.858 * * * [progress]: adding candidates to table 1.072 * [progress]: [Phase 3 of 3] Extracting. 1.072 * * [regime]: Finding splitpoints for: (# # #) 1.073 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 1.073 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# # #) 1.090 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 1.101 * * * * [regimes]: Trying to branch on y from (# # #) 1.114 * * * * [regimes]: Trying to branch on x from (# # #) 1.130 * * * [regime]: Found split indices: #