8.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.026 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.027 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.028 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.029 * * [simplify]: iteration 3 : 26 enodes (cost 5 ) 0.031 * * [simplify]: iteration 4 : 26 enodes (cost 5 ) 0.031 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.053 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.053 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [taylor]: Taking taylor expansion of (* x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.057 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.057 * [taylor]: Taking taylor expansion of 0.5 in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 0.25 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.063 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.063 * [taylor]: Taking taylor expansion of 0.125 in x 0.063 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.067 * [taylor]: Taking taylor expansion of 0.0625 in x 0.067 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.069 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.069 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.069 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.069 * [taylor]: Taking taylor expansion of 0.5 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.069 * [taylor]: Taking taylor expansion of (* x y) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.070 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.070 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.070 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.070 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.072 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.072 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.072 * [taylor]: Taking taylor expansion of 0.5 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.072 * [taylor]: Taking taylor expansion of (* x y) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.080 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of 4.0 in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.083 * [taylor]: Taking taylor expansion of 8.0 in x 0.083 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.088 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.088 * [taylor]: Taking taylor expansion of 16.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.093 * [taylor]: Taking taylor expansion of 32.0 in x 0.093 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.095 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.095 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.095 * [taylor]: Taking taylor expansion of 0.5 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.095 * [taylor]: Taking taylor expansion of (* x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.096 * [taylor]: Taking taylor expansion of -1 in y 0.096 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.096 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.096 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.096 * [taylor]: Taking taylor expansion of 0.5 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.096 * [taylor]: Taking taylor expansion of (* x y) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 1.0 in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.098 * [taylor]: Taking taylor expansion of -1 in y 0.098 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of 0.5 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 1.0 in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.100 * [taylor]: Taking taylor expansion of -2.0 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of 4.0 in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.106 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.106 * [taylor]: Taking taylor expansion of 8.0 in x 0.106 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.111 * [taylor]: Taking taylor expansion of 16.0 in x 0.111 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.116 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.116 * [taylor]: Taking taylor expansion of 32.0 in x 0.116 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 2) 0.118 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.118 * [taylor]: Taking taylor expansion of 0.5 in y 0.118 * [taylor]: Taking taylor expansion of (* x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of 0.5 in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of 0.5 in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.119 * [taylor]: Taking taylor expansion of 0.5 in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.126 * [taylor]: Taking taylor expansion of 0.5 in y 0.126 * [taylor]: Taking taylor expansion of (* x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [taylor]: Taking taylor expansion of (* x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 0.5 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.127 * [taylor]: Taking taylor expansion of 0.5 in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.132 * [taylor]: Taking taylor expansion of 0.5 in y 0.132 * [taylor]: Taking taylor expansion of (* x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.133 * [taylor]: Taking taylor expansion of 0.5 in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * * * [progress]: simplifying candidates 0.138 * [simplify]: Simplifying using # : (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.143 * * [simplify]: iteration 0 : 299 enodes (cost 361 ) 0.149 * * [simplify]: iteration 1 : 1304 enodes (cost 334 ) 0.171 * * [simplify]: iteration 2 : 5001 enodes (cost 330 ) 0.173 * [simplify]: Simplified to: (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.174 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 2 / 4 0.282 * * * [progress]: picking best candidate 0.285 * * * * [pick]: Picked # 0.285 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.294 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.308 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.319 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1 2) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.328 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.328 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.328 * [taylor]: Taking taylor expansion of 0.5 in y 0.328 * [taylor]: Taking taylor expansion of (* x y) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 0.330 * [taylor]: Taking taylor expansion of (* x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 0.330 * [taylor]: Taking taylor expansion of (* x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 0.5 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.343 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.343 * [taylor]: Taking taylor expansion of 0.5 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.343 * [taylor]: Taking taylor expansion of (* x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.343 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.343 * [taylor]: Taking taylor expansion of 0.5 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.343 * [taylor]: Taking taylor expansion of (* x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.360 * [taylor]: Taking taylor expansion of -1 in y 0.360 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.360 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.360 * [taylor]: Taking taylor expansion of 0.5 in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.360 * [taylor]: Taking taylor expansion of (* x y) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 1.0 in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.361 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.361 * [taylor]: Taking taylor expansion of 0.5 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.361 * [taylor]: Taking taylor expansion of (* x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.361 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.361 * [taylor]: Taking taylor expansion of 0.5 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.361 * [taylor]: Taking taylor expansion of (* x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of -0.5 in y 0.363 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.363 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.363 * [taylor]: Taking taylor expansion of 1.0 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.382 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of (* x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 1.0 in y 0.383 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.384 * [taylor]: Taking taylor expansion of 0.5 in x 0.384 * [taylor]: Taking taylor expansion of (* x y) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.385 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.389 * [taylor]: Taking taylor expansion of 0.25 in y 0.389 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 0.394 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.394 * [taylor]: Taking taylor expansion of 0.125 in y 0.394 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.399 * [taylor]: Taking taylor expansion of 0.0625 in y 0.399 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.401 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.401 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.401 * [taylor]: Taking taylor expansion of 0.5 in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.401 * [taylor]: Taking taylor expansion of (* x y) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 1.0 in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.403 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.403 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.403 * [taylor]: Taking taylor expansion of 0.5 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.403 * [taylor]: Taking taylor expansion of (* x y) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.404 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.404 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.404 * [taylor]: Taking taylor expansion of (* x y) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 2.0 in y 0.406 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.406 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.406 * [taylor]: Taking taylor expansion of 4.0 in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of 8.0 in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 0.414 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.414 * [taylor]: Taking taylor expansion of 16.0 in y 0.414 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.419 * [taylor]: Taking taylor expansion of 32.0 in y 0.419 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.421 * [taylor]: Taking taylor expansion of -1 in y 0.421 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.421 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.421 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.421 * [taylor]: Taking taylor expansion of 0.5 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.421 * [taylor]: Taking taylor expansion of (* x y) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.425 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.425 * [taylor]: Taking taylor expansion of 0.5 in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.425 * [taylor]: Taking taylor expansion of (* x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.426 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.426 * [taylor]: Taking taylor expansion of 0.5 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.426 * [taylor]: Taking taylor expansion of (* x y) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of -2.0 in y 0.429 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.429 * [taylor]: Taking taylor expansion of 4.0 in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of 8.0 in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.436 * [taylor]: Taking taylor expansion of 16.0 in y 0.436 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 0.442 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.442 * [taylor]: Taking taylor expansion of 32.0 in y 0.442 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.444 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1 2) 0.444 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.444 * [taylor]: Taking taylor expansion of 0.5 in y 0.444 * [taylor]: Taking taylor expansion of (* x y) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.444 * [taylor]: Taking taylor expansion of 0.5 in x 0.444 * [taylor]: Taking taylor expansion of (* x y) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.444 * [taylor]: Taking taylor expansion of 0.5 in x 0.444 * [taylor]: Taking taylor expansion of (* x y) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.445 * [taylor]: Taking taylor expansion of 0.5 in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.451 * [taylor]: Taking taylor expansion of 0.5 in y 0.451 * [taylor]: Taking taylor expansion of (* x y) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.452 * [taylor]: Taking taylor expansion of 0.5 in x 0.452 * [taylor]: Taking taylor expansion of (* x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.452 * [taylor]: Taking taylor expansion of 0.5 in x 0.452 * [taylor]: Taking taylor expansion of (* x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.452 * [taylor]: Taking taylor expansion of 0.5 in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.457 * [taylor]: Taking taylor expansion of 0.5 in y 0.457 * [taylor]: Taking taylor expansion of (* x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.457 * [taylor]: Taking taylor expansion of 0.5 in x 0.457 * [taylor]: Taking taylor expansion of (* x y) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of 0.5 in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.458 * [taylor]: Taking taylor expansion of 0.5 in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.463 * * * [progress]: simplifying candidates 0.465 * [simplify]: Simplifying using # : (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* y (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (* y (- 1.0 (/ (* x y) 2.0))) (- 1) (- (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 0 (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- 0 (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- (log 1) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log 1) (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (/ (* x y) 2.0))) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) (/ 1 y)) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 1) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (/ 1 y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (cbrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (sqrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.474 * * [simplify]: iteration 0 : 534 enodes (cost 1269 ) 0.484 * * [simplify]: iteration 1 : 2636 enodes (cost 1138 ) 0.523 * * [simplify]: iteration 2 : 5002 enodes (cost 1051 ) 0.529 * [simplify]: Simplified to: (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (+ 1.0 (/ (* x y) 2.0)) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) y) (* y (- 1.0 (/ (* x y) 2.0))) (- 1) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 (cbrt y)) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (sqrt y) 1 (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.530 * * * [progress]: adding candidates to table 0.730 * * [progress]: iteration 3 / 4 0.730 * * * [progress]: picking best candidate 0.731 * * * * [pick]: Picked # 0.731 * * * [progress]: localizing error 0.743 * * * [progress]: generating rewritten candidates 0.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.831 * * * [progress]: generating series expansions 0.831 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.831 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in y 0.831 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.831 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.831 * [taylor]: Taking taylor expansion of 0.5 in y 0.831 * [taylor]: Taking taylor expansion of (* x y) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in x 0.834 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.834 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.834 * [taylor]: Taking taylor expansion of 0.5 in x 0.834 * [taylor]: Taking taylor expansion of (* x y) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in x 0.836 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.836 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.836 * [taylor]: Taking taylor expansion of 0.5 in x 0.836 * [taylor]: Taking taylor expansion of (* x y) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.838 * [taylor]: Taking taylor expansion of 1.0 in y 0.839 * [taylor]: Taking taylor expansion of (* 0.25 (/ y (sqrt 1.0))) in y 0.839 * [taylor]: Taking taylor expansion of 0.25 in y 0.839 * [taylor]: Taking taylor expansion of (/ y (sqrt 1.0)) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.839 * [taylor]: Taking taylor expansion of 1.0 in y 0.843 * [taylor]: Taking taylor expansion of (* -0.03125 (/ (pow y 2) (pow (sqrt 1.0) 3))) in y 0.843 * [taylor]: Taking taylor expansion of -0.03125 in y 0.843 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow (sqrt 1.0) 3)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in y 0.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.843 * [taylor]: Taking taylor expansion of 1.0 in y 0.852 * [taylor]: Taking taylor expansion of (* 0.0078125 (/ (pow y 3) (pow (sqrt 1.0) 5))) in y 0.852 * [taylor]: Taking taylor expansion of 0.0078125 in y 0.852 * [taylor]: Taking taylor expansion of (/ (pow y 3) (pow (sqrt 1.0) 5)) in y 0.852 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in y 0.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.853 * [taylor]: Taking taylor expansion of 1.0 in y 0.869 * [taylor]: Taking taylor expansion of (* -0.00244140625 (/ (pow y 4) (pow (sqrt 1.0) 7))) in y 0.869 * [taylor]: Taking taylor expansion of -0.00244140625 in y 0.869 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow (sqrt 1.0) 7)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 7) in y 0.869 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.869 * [taylor]: Taking taylor expansion of 1.0 in y 0.881 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.881 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.881 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.881 * [taylor]: Taking taylor expansion of 0.5 in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.881 * [taylor]: Taking taylor expansion of (* x y) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 1.0 in y 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.882 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.882 * [taylor]: Taking taylor expansion of 0.5 in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.882 * [taylor]: Taking taylor expansion of (* x y) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.883 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.883 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.883 * [taylor]: Taking taylor expansion of (* x y) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.884 * [taylor]: Taking taylor expansion of +nan.0 in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1.0 (* +nan.0 (/ 1 (pow y 2))))) in y 0.887 * [taylor]: Taking taylor expansion of +nan.0 in y 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (* +nan.0 (/ 1 (pow y 2)))) in y 0.887 * [taylor]: Taking taylor expansion of 1.0 in y 0.887 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.887 * [taylor]: Taking taylor expansion of +nan.0 in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y 0.893 * [taylor]: Taking taylor expansion of +nan.0 in y 0.893 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y 0.893 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.893 * [taylor]: Taking taylor expansion of +nan.0 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y 0.893 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y 0.893 * [taylor]: Taking taylor expansion of +nan.0 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.906 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.906 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.906 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.906 * [taylor]: Taking taylor expansion of 0.5 in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.906 * [taylor]: Taking taylor expansion of (* x y) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 1.0 in y 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.907 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.907 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.907 * [taylor]: Taking taylor expansion of 0.5 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.907 * [taylor]: Taking taylor expansion of (* x y) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.908 * [taylor]: Taking taylor expansion of 0.5 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.908 * [taylor]: Taking taylor expansion of (* x y) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.909 * [taylor]: Taking taylor expansion of +nan.0 in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1.0 (* +nan.0 (/ 1 (pow y 2))))) in y 0.911 * [taylor]: Taking taylor expansion of +nan.0 in y 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (* +nan.0 (/ 1 (pow y 2)))) in y 0.911 * [taylor]: Taking taylor expansion of 1.0 in y 0.911 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.911 * [taylor]: Taking taylor expansion of +nan.0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y 0.918 * [taylor]: Taking taylor expansion of +nan.0 in y 0.918 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y 0.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.918 * [taylor]: Taking taylor expansion of +nan.0 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y 0.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y 0.918 * [taylor]: Taking taylor expansion of +nan.0 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.930 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in y 0.930 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.930 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.931 * [taylor]: Taking taylor expansion of 0.5 in y 0.931 * [taylor]: Taking taylor expansion of (* x y) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in x 0.934 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.934 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.934 * [taylor]: Taking taylor expansion of 0.5 in x 0.934 * [taylor]: Taking taylor expansion of (* x y) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* x y)) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.937 * [taylor]: Taking taylor expansion of 0.5 in x 0.937 * [taylor]: Taking taylor expansion of (* x y) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.939 * [taylor]: Taking taylor expansion of 1.0 in y 0.939 * [taylor]: Taking taylor expansion of (* 0.25 (/ y (sqrt 1.0))) in y 0.939 * [taylor]: Taking taylor expansion of 0.25 in y 0.940 * [taylor]: Taking taylor expansion of (/ y (sqrt 1.0)) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.940 * [taylor]: Taking taylor expansion of 1.0 in y 0.943 * [taylor]: Taking taylor expansion of (* -0.03125 (/ (pow y 2) (pow (sqrt 1.0) 3))) in y 0.943 * [taylor]: Taking taylor expansion of -0.03125 in y 0.943 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow (sqrt 1.0) 3)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in y 0.943 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.943 * [taylor]: Taking taylor expansion of 1.0 in y 0.955 * [taylor]: Taking taylor expansion of (* 0.0078125 (/ (pow y 3) (pow (sqrt 1.0) 5))) in y 0.955 * [taylor]: Taking taylor expansion of 0.0078125 in y 0.955 * [taylor]: Taking taylor expansion of (/ (pow y 3) (pow (sqrt 1.0) 5)) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.956 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in y 0.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.956 * [taylor]: Taking taylor expansion of 1.0 in y 0.967 * [taylor]: Taking taylor expansion of (* -0.00244140625 (/ (pow y 4) (pow (sqrt 1.0) 7))) in y 0.967 * [taylor]: Taking taylor expansion of -0.00244140625 in y 0.967 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow (sqrt 1.0) 7)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 7) in y 0.968 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.968 * [taylor]: Taking taylor expansion of 1.0 in y 0.979 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 0.979 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.979 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.979 * [taylor]: Taking taylor expansion of 0.5 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.979 * [taylor]: Taking taylor expansion of (* x y) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of 1.0 in y 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.980 * [taylor]: Taking taylor expansion of 0.5 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.980 * [taylor]: Taking taylor expansion of (* x y) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 0.981 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.981 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.981 * [taylor]: Taking taylor expansion of 0.5 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.981 * [taylor]: Taking taylor expansion of (* x y) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.982 * [taylor]: Taking taylor expansion of +nan.0 in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1.0 (* +nan.0 (/ 1 (pow y 2))))) in y 0.984 * [taylor]: Taking taylor expansion of +nan.0 in y 0.984 * [taylor]: Taking taylor expansion of (- 1.0 (* +nan.0 (/ 1 (pow y 2)))) in y 0.984 * [taylor]: Taking taylor expansion of 1.0 in y 0.984 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of +nan.0 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y 0.991 * [taylor]: Taking taylor expansion of +nan.0 in y 0.991 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y 0.991 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.991 * [taylor]: Taking taylor expansion of +nan.0 in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y 0.991 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y 0.991 * [taylor]: Taking taylor expansion of +nan.0 in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.991 * [taylor]: Taking taylor expansion of y in y 1.003 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in (x y) around 0 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.003 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.003 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.003 * [taylor]: Taking taylor expansion of 0.5 in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.003 * [taylor]: Taking taylor expansion of (* x y) in y 1.003 * [taylor]: Taking taylor expansion of x in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 1.0 in y 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.004 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.004 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.004 * [taylor]: Taking taylor expansion of 0.5 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.004 * [taylor]: Taking taylor expansion of (* x y) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.005 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.005 * [taylor]: Taking taylor expansion of 0.5 in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.005 * [taylor]: Taking taylor expansion of (* x y) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.006 * [taylor]: Taking taylor expansion of +nan.0 in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1.0 (* +nan.0 (/ 1 (pow y 2))))) in y 1.008 * [taylor]: Taking taylor expansion of +nan.0 in y 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (* +nan.0 (/ 1 (pow y 2)))) in y 1.008 * [taylor]: Taking taylor expansion of 1.0 in y 1.008 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.008 * [taylor]: Taking taylor expansion of +nan.0 in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y 1.014 * [taylor]: Taking taylor expansion of +nan.0 in y 1.014 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y 1.014 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.015 * [taylor]: Taking taylor expansion of +nan.0 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y 1.015 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y 1.015 * [taylor]: Taking taylor expansion of +nan.0 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.027 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.027 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 1.027 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 1.027 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 1.027 * [taylor]: Taking taylor expansion of 0.5 in y 1.027 * [taylor]: Taking taylor expansion of (* x y) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of 1.0 in y 1.028 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 1.028 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.028 * [taylor]: Taking taylor expansion of 0.5 in x 1.028 * [taylor]: Taking taylor expansion of (* x y) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 1.029 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.029 * [taylor]: Taking taylor expansion of 0.5 in x 1.029 * [taylor]: Taking taylor expansion of (* x y) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.030 * [taylor]: Taking taylor expansion of 1.0 in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 1.034 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of 0.5 in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 1.037 * [taylor]: Taking taylor expansion of 0.25 in y 1.037 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 1.042 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 1.042 * [taylor]: Taking taylor expansion of 0.125 in y 1.042 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 1.047 * [taylor]: Taking taylor expansion of 0.0625 in y 1.047 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.049 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 1.049 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 1.049 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 1.049 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.049 * [taylor]: Taking taylor expansion of 0.5 in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.049 * [taylor]: Taking taylor expansion of (* x y) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of 1.0 in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.050 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.051 * [taylor]: Taking taylor expansion of 0.5 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.051 * [taylor]: Taking taylor expansion of (* x y) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.051 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.051 * [taylor]: Taking taylor expansion of 0.5 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.051 * [taylor]: Taking taylor expansion of (* x y) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of 2.0 in y 1.053 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 1.053 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.053 * [taylor]: Taking taylor expansion of 4.0 in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of 8.0 in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 1.061 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.061 * [taylor]: Taking taylor expansion of 16.0 in y 1.061 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.066 * [taylor]: Taking taylor expansion of 32.0 in y 1.066 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.068 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 1.068 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 1.068 * [taylor]: Taking taylor expansion of -1 in y 1.068 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 1.068 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.068 * [taylor]: Taking taylor expansion of 0.5 in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.068 * [taylor]: Taking taylor expansion of (* x y) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of 1.0 in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.070 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.070 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.070 * [taylor]: Taking taylor expansion of 0.5 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.070 * [taylor]: Taking taylor expansion of (* x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 1.071 * [taylor]: Taking taylor expansion of -1 in x 1.071 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 1.071 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.071 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.071 * [taylor]: Taking taylor expansion of 0.5 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.071 * [taylor]: Taking taylor expansion of (* x y) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of -2.0 in y 1.073 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 1.073 * [taylor]: Taking taylor expansion of 4.0 in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 1.076 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 1.076 * [taylor]: Taking taylor expansion of 8.0 in y 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.081 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 1.081 * [taylor]: Taking taylor expansion of 16.0 in y 1.081 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.090 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 1.090 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 1.090 * [taylor]: Taking taylor expansion of 32.0 in y 1.090 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.090 * [taylor]: Taking taylor expansion of y in y 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.093 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) y) in (y x) around 0 1.093 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) y) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 1.093 * [taylor]: Taking taylor expansion of 0.5 in x 1.093 * [taylor]: Taking taylor expansion of (* x y) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) y) in y 1.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in y 1.097 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 1.097 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 1.097 * [taylor]: Taking taylor expansion of 0.5 in y 1.097 * [taylor]: Taking taylor expansion of (* x y) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of 1.0 in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) y) in y 1.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (* x y)) 1.0))) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (* x y)) 1.0)) in y 1.101 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 1.101 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 1.101 * [taylor]: Taking taylor expansion of 0.5 in y 1.101 * [taylor]: Taking taylor expansion of (* x y) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of 1.0 in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of 0 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ x (sqrt 1.0)))) in x 1.115 * [taylor]: Taking taylor expansion of (* 0.25 (/ x (sqrt 1.0))) in x 1.115 * [taylor]: Taking taylor expansion of 0.25 in x 1.115 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ (pow x 2) (sqrt 1.0))) (* 0.03125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) in x 1.126 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow x 2) (sqrt 1.0))) in x 1.126 * [taylor]: Taking taylor expansion of 0.125 in x 1.126 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (* 0.03125 (/ (pow x 2) (pow (sqrt 1.0) 3))) in x 1.128 * [taylor]: Taking taylor expansion of 0.03125 in x 1.128 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (sqrt 1.0) 3)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.128 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (* 0.0078125 (/ (pow x 3) (pow (sqrt 1.0) 5))) (* 0.0625 (/ (pow x 3) (sqrt 1.0))))) in x 1.153 * [taylor]: Taking taylor expansion of (* 0.03125 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 1.153 * [taylor]: Taking taylor expansion of 0.03125 in x 1.153 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (+ (* 0.0078125 (/ (pow x 3) (pow (sqrt 1.0) 5))) (* 0.0625 (/ (pow x 3) (sqrt 1.0)))) in x 1.157 * [taylor]: Taking taylor expansion of (* 0.0078125 (/ (pow x 3) (pow (sqrt 1.0) 5))) in x 1.157 * [taylor]: Taking taylor expansion of 0.0078125 in x 1.157 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 5)) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in x 1.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (* 0.0625 (/ (pow x 3) (sqrt 1.0))) in x 1.163 * [taylor]: Taking taylor expansion of 0.0625 in x 1.163 * [taylor]: Taking taylor expansion of (/ (pow x 3) (sqrt 1.0)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (- (+ (* 0.03125 (/ (pow x 4) (sqrt 1.0))) (* 0.01171875 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (+ (* 0.0234375 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.00244140625 (/ (pow x 4) (pow (sqrt 1.0) 7))))) in x 1.189 * [taylor]: Taking taylor expansion of (+ (* 0.03125 (/ (pow x 4) (sqrt 1.0))) (* 0.01171875 (/ (pow x 4) (pow (sqrt 1.0) 5)))) in x 1.189 * [taylor]: Taking taylor expansion of (* 0.03125 (/ (pow x 4) (sqrt 1.0))) in x 1.189 * [taylor]: Taking taylor expansion of 0.03125 in x 1.189 * [taylor]: Taking taylor expansion of (/ (pow x 4) (sqrt 1.0)) in x 1.189 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (* 0.01171875 (/ (pow x 4) (pow (sqrt 1.0) 5))) in x 1.190 * [taylor]: Taking taylor expansion of 0.01171875 in x 1.190 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 5)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in x 1.191 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (+ (* 0.0234375 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.00244140625 (/ (pow x 4) (pow (sqrt 1.0) 7)))) in x 1.196 * [taylor]: Taking taylor expansion of (* 0.0234375 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 1.196 * [taylor]: Taking taylor expansion of 0.0234375 in x 1.196 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 1.196 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (* 0.00244140625 (/ (pow x 4) (pow (sqrt 1.0) 7))) in x 1.200 * [taylor]: Taking taylor expansion of 0.00244140625 in x 1.200 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 7)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 7) in x 1.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in (y x) around 0 1.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in x 1.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.226 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.226 * [taylor]: Taking taylor expansion of 0.5 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.226 * [taylor]: Taking taylor expansion of (* x y) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.228 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in y 1.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.228 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.228 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.228 * [taylor]: Taking taylor expansion of 0.5 in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.228 * [taylor]: Taking taylor expansion of (* x y) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 1.0 in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in y 1.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.229 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.229 * [taylor]: Taking taylor expansion of 0.5 in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.229 * [taylor]: Taking taylor expansion of (* x y) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of 1.0 in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.231 * [taylor]: Taking taylor expansion of 0 in x 1.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 x)) in x 1.231 * [taylor]: Taking taylor expansion of (* +nan.0 x) in x 1.232 * [taylor]: Taking taylor expansion of +nan.0 in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 2))) in x 1.235 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 2)) in x 1.235 * [taylor]: Taking taylor expansion of +nan.0 in x 1.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 3))) in x 1.239 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 3)) in x 1.239 * [taylor]: Taking taylor expansion of +nan.0 in x 1.239 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 4))) in x 1.244 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 4)) in x 1.244 * [taylor]: Taking taylor expansion of +nan.0 in x 1.244 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 5))) in x 1.250 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 5)) in x 1.250 * [taylor]: Taking taylor expansion of +nan.0 in x 1.250 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 6))) in x 1.257 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 6)) in x 1.257 * [taylor]: Taking taylor expansion of +nan.0 in x 1.257 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.259 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y))) in (y x) around 0 1.259 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y))) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in x 1.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in x 1.259 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 1.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 1.259 * [taylor]: Taking taylor expansion of 0.5 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.259 * [taylor]: Taking taylor expansion of (* x y) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y))) in y 1.260 * [taylor]: Taking taylor expansion of -1 in y 1.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in y 1.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.260 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.260 * [taylor]: Taking taylor expansion of 0.5 in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.260 * [taylor]: Taking taylor expansion of (* x y) in y 1.261 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.261 * [taylor]: Taking taylor expansion of 1.0 in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y))) in y 1.262 * [taylor]: Taking taylor expansion of -1 in y 1.262 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) (/ 1 y)) in y 1.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 0.5 (/ 1 (* x y))) 1.0)) in y 1.262 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 1.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 1.262 * [taylor]: Taking taylor expansion of 0.5 in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.262 * [taylor]: Taking taylor expansion of (* x y) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of 1.0 in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of 0 in x 1.265 * [taylor]: Taking taylor expansion of (- (* +nan.0 x)) in x 1.265 * [taylor]: Taking taylor expansion of (* +nan.0 x) in x 1.265 * [taylor]: Taking taylor expansion of +nan.0 in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 2))) in x 1.268 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 2)) in x 1.268 * [taylor]: Taking taylor expansion of +nan.0 in x 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 3))) in x 1.274 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 3)) in x 1.274 * [taylor]: Taking taylor expansion of +nan.0 in x 1.274 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 4))) in x 1.279 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 4)) in x 1.279 * [taylor]: Taking taylor expansion of +nan.0 in x 1.279 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 5))) in x 1.285 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 5)) in x 1.285 * [taylor]: Taking taylor expansion of +nan.0 in x 1.285 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow x 6))) in x 1.293 * [taylor]: Taking taylor expansion of (* +nan.0 (pow x 6)) in x 1.293 * [taylor]: Taking taylor expansion of +nan.0 in x 1.293 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.295 * * * [progress]: simplifying candidates 1.302 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (/ (* x y) 2.0)))) (exp (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (sqrt (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (sqrt (- 1.0 (/ (* x y) 2.0))) (/ 1 2) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (log (sqrt (+ 1.0 (/ (* x y) 2.0)))) (exp (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (cbrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt 1) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (sqrt (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (sqrt (- 1.0 (/ (* x y) 2.0))) (/ 1 2) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))) (+ (- (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (log y) (log (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (- (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (log (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (- 0 (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (log y) (log (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (- 0 (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (log (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (- (log 1) (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (log y) (log (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (- (log 1) (log (sqrt (+ 1.0 (/ (* x y) 2.0))))) (log (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (log (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (log y) (log (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (+ (log (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (log (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (log (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (exp (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (* y y) y) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (* (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (* (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (* y y) y) (* (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (* (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (* (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (cbrt (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))))) (cbrt (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (* (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))) (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (sqrt (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (sqrt (* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* 1 y) (* (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (sqrt (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (sqrt (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0)))))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (sqrt (sqrt (+ 1.0 (/ (* x 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