37.379 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [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 ) 0.035 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.037 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.037 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (* x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1 in x 0.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.070 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.071 * [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 0.072 * [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 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [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 0.074 * [taylor]: Taking taylor expansion of 1 in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.079 * [taylor]: Taking taylor expansion of 2.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.081 * [taylor]: Taking taylor expansion of 2.0 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.081 * [taylor]: Taking taylor expansion of (* x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 1 in x 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.087 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.087 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.087 * [taylor]: Taking taylor expansion of 2.0 in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.087 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.087 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.087 * [taylor]: Taking taylor expansion of 2.0 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 y in y 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.087 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.087 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.087 * [taylor]: Taking taylor expansion of 2.0 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 y in y 0.087 * [taylor]: Taking taylor expansion of 0 in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1 in x 0.092 * [taylor]: Taking taylor expansion of 0 in x 0.094 * [taylor]: Taking taylor expansion of 0 in x 0.095 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 2.0 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.097 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 1 in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 0 in x 0.104 * [taylor]: Taking taylor expansion of 0 in x 0.111 * [taylor]: Taking taylor expansion of 0 in x 0.111 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.114 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 1 in x 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 0 in x 0.121 * [taylor]: Taking taylor expansion of 0 in x 0.125 * [taylor]: Taking taylor expansion of 0 in x 0.125 * * * [progress]: simplifying candidates 0.126 * [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))) 0.131 * * [simplify]: iteration 0 : 222 enodes (cost 234 ) 0.136 * * [simplify]: iteration 1 : 1119 enodes (cost 217 ) 0.162 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.164 * [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)) 0.164 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.232 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.236 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [taylor]: Taking taylor expansion of (* x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.237 * [taylor]: Taking taylor expansion of 2.0 in x 0.237 * [taylor]: Taking taylor expansion of (* x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.237 * [taylor]: Taking taylor expansion of 2.0 in x 0.237 * [taylor]: Taking taylor expansion of (* x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.238 * [taylor]: Taking taylor expansion of 2.0 in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.243 * [taylor]: Taking taylor expansion of 2.0 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.243 * [taylor]: Taking taylor expansion of (* x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.244 * [taylor]: Taking taylor expansion of 2.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.244 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.245 * [taylor]: Taking taylor expansion of 2.0 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.245 * [taylor]: Taking taylor expansion of (* x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of 2.0 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.251 * [taylor]: Taking taylor expansion of 2.0 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.251 * [taylor]: Taking taylor expansion of (* x y) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.252 * [taylor]: Taking taylor expansion of 2.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.252 * [taylor]: Taking taylor expansion of (* x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.253 * [taylor]: Taking taylor expansion of 2.0 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.253 * [taylor]: Taking taylor expansion of (* x y) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 2.0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.258 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.258 * [taylor]: Taking taylor expansion of 2.0 in y 0.258 * [taylor]: Taking taylor expansion of (* x y) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.259 * [taylor]: Taking taylor expansion of 2.0 in x 0.259 * [taylor]: Taking taylor expansion of (* x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.259 * [taylor]: Taking taylor expansion of 2.0 in x 0.259 * [taylor]: Taking taylor expansion of (* x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.260 * [taylor]: Taking taylor expansion of 2.0 in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.268 * [taylor]: Taking taylor expansion of (* x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.269 * [taylor]: Taking taylor expansion of 2.0 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.269 * [taylor]: Taking taylor expansion of (* x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.270 * [taylor]: Taking taylor expansion of 2.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.270 * [taylor]: Taking taylor expansion of (* x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.282 * [taylor]: Taking taylor expansion of 2.0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.282 * [taylor]: Taking taylor expansion of (* x y) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.283 * [taylor]: Taking taylor expansion of 2.0 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.283 * [taylor]: Taking taylor expansion of (* x y) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.284 * [taylor]: Taking taylor expansion of (* x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * * * [progress]: simplifying candidates 0.299 * [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))) 0.303 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.308 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.331 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.453 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.454 * [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)) 0.454 * * * [progress]: adding candidates to table 0.497 * * [progress]: iteration 3 / 4 0.497 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.509 * * * [progress]: generating rewritten candidates 0.509 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.516 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.523 * * * [progress]: generating series expansions 0.523 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.523 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.523 * [taylor]: Taking taylor expansion of 2.0 in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.523 * [taylor]: Taking taylor expansion of 2.0 in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.524 * [taylor]: Taking taylor expansion of 2.0 in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.525 * [taylor]: Taking taylor expansion of 2.0 in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.532 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.532 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.532 * [taylor]: Taking taylor expansion of 2.0 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.533 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.533 * [taylor]: Taking taylor expansion of 2.0 in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.534 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.534 * [taylor]: Taking taylor expansion of 2.0 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of 1 in y 0.536 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.536 * [taylor]: Taking taylor expansion of 2.0 in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.546 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.546 * [taylor]: Taking taylor expansion of 2.0 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.547 * [taylor]: Taking taylor expansion of 2.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.548 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.548 * [taylor]: Taking taylor expansion of 2.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of 1 in y 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.550 * [taylor]: Taking taylor expansion of 2.0 in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.559 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.560 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.560 * [taylor]: Taking taylor expansion of 2.0 in y 0.560 * [taylor]: Taking taylor expansion of (* x y) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.560 * [taylor]: Taking taylor expansion of 2.0 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 (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.560 * [taylor]: Taking taylor expansion of 2.0 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 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.561 * [taylor]: Taking taylor expansion of 2.0 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 1 in y 0.565 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.566 * [taylor]: Taking taylor expansion of 2.0 in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.566 * [taylor]: Taking taylor expansion of (* x y) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.567 * [taylor]: Taking taylor expansion of 2.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.567 * [taylor]: Taking taylor expansion of (* x y) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.568 * [taylor]: Taking taylor expansion of 2.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.568 * [taylor]: Taking taylor expansion of (* x y) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.570 * [taylor]: Taking taylor expansion of 2.0 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.574 * [taylor]: Taking taylor expansion of 2.0 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.574 * [taylor]: Taking taylor expansion of (* x y) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.575 * [taylor]: Taking taylor expansion of 2.0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.575 * [taylor]: Taking taylor expansion of (* x y) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.576 * [taylor]: Taking taylor expansion of 2.0 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.576 * [taylor]: Taking taylor expansion of (* x y) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.578 * [taylor]: Taking taylor expansion of 2.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * * * [progress]: simplifying candidates 0.582 * [simplify]: Simplifying using # : (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (* (exp (* x (+ (* 2.0 y) x))) (exp (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.586 * * [simplify]: iteration 0 : 225 enodes (cost 237 ) 0.591 * * [simplify]: iteration 1 : 1110 enodes (cost 217 ) 0.615 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.617 * [simplify]: Simplified to: (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 y)) (pow x 2) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (pow y 2) (- (pow y 2) (* x (+ (* 2.0 y) x)))) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) 0.617 * * * [progress]: adding candidates to table 0.671 * * [progress]: iteration 4 / 4 0.671 * * * [progress]: picking best candidate 0.675 * * * * [pick]: Picked # 0.675 * * * [progress]: localizing error 0.687 * * * [progress]: generating rewritten candidates 0.687 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.693 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.726 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.727 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (y x) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) 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 (* x y)) in x 0.727 * [taylor]: Taking taylor expansion of 2.0 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 (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.729 * [taylor]: Taking taylor expansion of 2.0 in y 0.729 * [taylor]: Taking taylor expansion of (* x y) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.730 * [taylor]: Taking taylor expansion of 2.0 in y 0.730 * [taylor]: Taking taylor expansion of (* x y) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.739 * [taylor]: Taking taylor expansion of 2.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.739 * [taylor]: Taking taylor expansion of (* x y) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of y in x 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 y 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.745 * [taylor]: Taking taylor expansion of 2.0 in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.745 * [taylor]: Taking taylor expansion of (* x y) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of 1 in x 0.747 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of 0 in x 0.753 * [taylor]: Taking taylor expansion of 0 in x 0.758 * [taylor]: Taking taylor expansion of 0 in x 0.758 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.759 * [taylor]: Taking taylor expansion of 2.0 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.759 * [taylor]: Taking taylor expansion of (* x y) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.762 * [taylor]: Taking taylor expansion of 2.0 in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.765 * [taylor]: Taking taylor expansion of 2.0 in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.765 * [taylor]: Taking taylor expansion of (* x y) in y 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of 1 in x 0.767 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [taylor]: Taking taylor expansion of 0 in x 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.782 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.782 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (y x) around 0 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.782 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in x 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.782 * [taylor]: Taking taylor expansion of 2.0 in x 0.782 * [taylor]: Taking taylor expansion of (* x y) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.783 * [taylor]: Taking taylor expansion of 2.0 in y 0.783 * [taylor]: Taking taylor expansion of (* x y) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.785 * [taylor]: Taking taylor expansion of 2.0 in y 0.785 * [taylor]: Taking taylor expansion of (* x y) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of 0 in x 0.792 * [taylor]: Taking taylor expansion of 0 in x 0.792 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.793 * [taylor]: Taking taylor expansion of 2.0 in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.793 * [taylor]: Taking taylor expansion of (* x y) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.796 * [taylor]: Taking taylor expansion of 2.0 in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.796 * [taylor]: Taking taylor expansion of (* x y) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.799 * [taylor]: Taking taylor expansion of 2.0 in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.799 * [taylor]: Taking taylor expansion of (* x y) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 1 in x 0.801 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of 0 in x 0.808 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.813 * [taylor]: Taking taylor expansion of 2.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.813 * [taylor]: Taking taylor expansion of (* x y) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.816 * [taylor]: Taking taylor expansion of 2.0 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.816 * [taylor]: Taking taylor expansion of (* x y) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.819 * [taylor]: Taking taylor expansion of 2.0 in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.819 * [taylor]: Taking taylor expansion of (* x y) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 1 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.828 * [taylor]: Taking taylor expansion of 0 in x 0.832 * [taylor]: Taking taylor expansion of 0 in x 0.833 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.833 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.833 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.833 * [taylor]: Taking taylor expansion of 2.0 in x 0.833 * [taylor]: Taking taylor expansion of (* x y) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.833 * [taylor]: Taking taylor expansion of 2.0 in y 0.833 * [taylor]: Taking taylor expansion of (* x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.833 * [taylor]: Taking taylor expansion of 2.0 in y 0.833 * [taylor]: Taking taylor expansion of (* x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.835 * [taylor]: Taking taylor expansion of 2.0 in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of 1 in x 0.839 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ 1 (* x y))) in x 0.840 * [taylor]: Taking taylor expansion of 2.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.841 * [taylor]: Taking taylor expansion of 2.0 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.842 * [taylor]: Taking taylor expansion of 2.0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.842 * [taylor]: Taking taylor expansion of (* x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 1 in x 0.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of 2.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x 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 0.848 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.849 * [taylor]: Taking taylor expansion of 2.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.849 * [taylor]: Taking taylor expansion of (* x y) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.850 * [taylor]: Taking taylor expansion of 2.0 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.850 * [taylor]: Taking taylor expansion of (* x y) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.851 * [taylor]: Taking taylor expansion of 2.0 in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.851 * [taylor]: Taking taylor expansion of (* x y) in y 0.851 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 1 in x 0.853 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.853 * [taylor]: Taking taylor expansion of 2.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.856 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.856 * [taylor]: Taking taylor expansion of 2.0 in x 0.856 * [taylor]: Taking taylor expansion of (* x y) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.857 * [taylor]: Taking taylor expansion of 2.0 in y 0.857 * [taylor]: Taking taylor expansion of (* x y) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.857 * [taylor]: Taking taylor expansion of 2.0 in y 0.857 * [taylor]: Taking taylor expansion of (* x y) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 1 in x 0.867 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.868 * [taylor]: Taking taylor expansion of 2.0 in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.868 * [taylor]: Taking taylor expansion of (* x y) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.869 * [taylor]: Taking taylor expansion of 2.0 in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.869 * [taylor]: Taking taylor expansion of (* x y) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.870 * [taylor]: Taking taylor expansion of 2.0 in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.870 * [taylor]: Taking taylor expansion of (* x y) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of 1 in x 0.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of 2.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.877 * [taylor]: Taking taylor expansion of 2.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.877 * [taylor]: Taking taylor expansion of (* x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.878 * [taylor]: Taking taylor expansion of 2.0 in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.878 * [taylor]: Taking taylor expansion of (* x y) 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 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.879 * [taylor]: Taking taylor expansion of 2.0 in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.879 * [taylor]: Taking taylor expansion of (* x y) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of 1 in x 0.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of 2.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * * * [progress]: simplifying candidates 0.886 * [simplify]: Simplifying using # : (log (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (exp (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt 1) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x)))) (sqrt (- (* y (+ (* x 2.0) y)) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (log (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (exp (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt 1) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x)))) (sqrt (- (* y (+ (* x 2.0) y)) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* 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)))) (* (+ (* y (+ (* x 2.0) y)) (* x x)) (+ (* y (+ (* x 2.0) y)) (* x x))) (+ 1 1) (+ (log (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (log (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (log (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (exp (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (* (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (cbrt (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))))) (cbrt (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (* (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (+ (* y (+ (* x 2.0) y)) (* x x)) (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))) (* (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x))))) (* (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (sqrt (- (* y (+ (* x 2.0) y)) (* x x)))) (* (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x)))) (sqrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))) (* (sqrt (- (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))) (* (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x)))) (sqrt (- (* (* y (+ (* x 2.0) y)) (* y (+ (* 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y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* 1 1) (* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))) (* (sqrt (sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (sqrt (+ (* y (+ (* x 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[progress]: [Phase 3 of 3] Extracting. 1.087 * * [regime]: Finding splitpoints for: (# # # #) 1.088 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 1.088 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# # # #) 1.107 * * * * [regimes]: Trying to branch on y from (# # # #) 1.122 * * * * [regimes]: Trying to branch on x from (# # # #) 1.140 * * * [regime]: Found split indices: #