8.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.012 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.013 * * [simplify]: iteration done : 5 enodes (cost 5 ) 0.013 * [simplify]: Simplified to: (/ x (+ y x)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (+ x y) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ x y) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of y in x 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ x y) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of y in x 0.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.071 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.080 * * [simplify]: iteration 1 : 128 enodes (cost 317 ) 0.105 * * [simplify]: iteration 2 : 373 enodes (cost 299 ) 0.203 * * [simplify]: iteration 3 : 1011 enodes (cost 299 ) 0.689 * * [simplify]: iteration 4 : 3232 enodes (cost 299 ) 2.986 * * [simplify]: iteration done : 5001 enodes (cost 299 ) 2.987 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 2.987 * * * [progress]: adding candidates to table 3.046 * * [progress]: iteration 2 / 4 3.046 * * * [progress]: picking best candidate 3.050 * * * * [pick]: Picked # 3.050 * * * [progress]: localizing error 3.055 * * * [progress]: generating rewritten candidates 3.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.077 * * * [progress]: generating series expansions 3.078 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.078 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 3.078 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (+ x y) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of y in x 3.078 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.078 * [taylor]: Taking taylor expansion of x in y 3.078 * [taylor]: Taking taylor expansion of (+ x y) in y 3.078 * [taylor]: Taking taylor expansion of x in y 3.078 * [taylor]: Taking taylor expansion of y in y 3.078 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.078 * [taylor]: Taking taylor expansion of x in y 3.078 * [taylor]: Taking taylor expansion of (+ x y) in y 3.078 * [taylor]: Taking taylor expansion of x in y 3.078 * [taylor]: Taking taylor expansion of y in y 3.078 * [taylor]: Taking taylor expansion of 1 in x 3.079 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.085 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 3.085 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.085 * [taylor]: Taking taylor expansion of y in x 3.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.087 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.087 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.087 * [taylor]: Taking taylor expansion of y in y 3.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.087 * [taylor]: Taking taylor expansion of x in y 3.087 * [taylor]: Taking taylor expansion of x in y 3.087 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.087 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.088 * [taylor]: Taking taylor expansion of y in y 3.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.088 * [taylor]: Taking taylor expansion of x in y 3.088 * [taylor]: Taking taylor expansion of x in y 3.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.090 * [taylor]: Taking taylor expansion of x in x 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.095 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.095 * [taylor]: Taking taylor expansion of x in x 3.101 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 3.101 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.101 * [taylor]: Taking taylor expansion of y in x 3.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.102 * [taylor]: Taking taylor expansion of x in x 3.102 * [taylor]: Taking taylor expansion of x in x 3.103 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.103 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.103 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.103 * [taylor]: Taking taylor expansion of y in y 3.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.104 * [taylor]: Taking taylor expansion of x in y 3.104 * [taylor]: Taking taylor expansion of x in y 3.104 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.104 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.104 * [taylor]: Taking taylor expansion of y in y 3.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.104 * [taylor]: Taking taylor expansion of x in y 3.104 * [taylor]: Taking taylor expansion of x in y 3.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.111 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.118 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 3.118 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 3.118 * [taylor]: Taking taylor expansion of (+ x y) in x 3.118 * [taylor]: Taking taylor expansion of x in x 3.118 * [taylor]: Taking taylor expansion of y in x 3.118 * [taylor]: Taking taylor expansion of x in x 3.118 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 3.118 * [taylor]: Taking taylor expansion of (+ x y) in y 3.118 * [taylor]: Taking taylor expansion of x in y 3.118 * [taylor]: Taking taylor expansion of y in y 3.118 * [taylor]: Taking taylor expansion of x in y 3.118 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 3.118 * [taylor]: Taking taylor expansion of (+ x y) in y 3.118 * [taylor]: Taking taylor expansion of x in y 3.118 * [taylor]: Taking taylor expansion of y in y 3.118 * [taylor]: Taking taylor expansion of x in y 3.118 * [taylor]: Taking taylor expansion of 1 in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of 0 in x 3.120 * [taylor]: Taking taylor expansion of 0 in x 3.121 * [taylor]: Taking taylor expansion of 0 in x 3.121 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 3.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.121 * [taylor]: Taking taylor expansion of y in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.122 * [taylor]: Taking taylor expansion of y in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.122 * [taylor]: Taking taylor expansion of y in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [taylor]: Taking taylor expansion of 1 in x 3.125 * [taylor]: Taking taylor expansion of 0 in x 3.126 * [taylor]: Taking taylor expansion of 0 in x 3.131 * [taylor]: Taking taylor expansion of 0 in x 3.131 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 3.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.131 * [taylor]: Taking taylor expansion of y in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.132 * [taylor]: Taking taylor expansion of y in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.132 * [taylor]: Taking taylor expansion of y in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.133 * [taylor]: Taking taylor expansion of x in x 3.134 * [taylor]: Taking taylor expansion of 1 in x 3.135 * [taylor]: Taking taylor expansion of 0 in x 3.136 * [taylor]: Taking taylor expansion of 0 in x 3.138 * [taylor]: Taking taylor expansion of 0 in x 3.138 * * * [progress]: simplifying candidates 3.140 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 3.144 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 3.173 * * [simplify]: iteration 1 : 364 enodes (cost 1432 ) 3.279 * * [simplify]: iteration 2 : 1226 enodes (cost 1203 ) 4.219 * * [simplify]: iteration 3 : 2736 enodes (cost 1179 ) 6.133 * * [simplify]: iteration done : 5000 enodes (cost 1179 ) 6.134 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- (/ (+ y x) x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ y x) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ y x)) (- x) (/ (cbrt (+ y x)) (* (cbrt x) (/ (cbrt x) (cbrt (+ y x))))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (/ (sqrt (+ x y)) (cbrt x)) (cbrt x)) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ x y)) (/ x (+ x y)) (* (fma y y (* x (- x y))) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 6.135 * * * [progress]: adding candidates to table 6.285 * * [progress]: iteration 3 / 4 6.285 * * * [progress]: picking best candidate 6.287 * * * * [pick]: Picked # 6.287 * * * [progress]: localizing error 6.293 * * * [progress]: generating rewritten candidates 6.293 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.308 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.362 * * * [progress]: generating series expansions 6.362 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.362 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 6.362 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 6.362 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.362 * [taylor]: Taking taylor expansion of x in y 6.362 * [taylor]: Taking taylor expansion of (+ x y) in y 6.362 * [taylor]: Taking taylor expansion of x in y 6.362 * [taylor]: Taking taylor expansion of y in y 6.363 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.363 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [taylor]: Taking taylor expansion of (+ x y) in x 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [taylor]: Taking taylor expansion of y in x 6.364 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.364 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.364 * [taylor]: Taking taylor expansion of x in x 6.364 * [taylor]: Taking taylor expansion of (+ x y) in x 6.364 * [taylor]: Taking taylor expansion of x in x 6.364 * [taylor]: Taking taylor expansion of y in x 6.365 * [taylor]: Taking taylor expansion of 0 in y 6.365 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 6.365 * [taylor]: Taking taylor expansion of +nan.0 in y 6.365 * [taylor]: Taking taylor expansion of y in y 6.367 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 6.367 * [taylor]: Taking taylor expansion of +nan.0 in y 6.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.367 * [taylor]: Taking taylor expansion of y in y 6.374 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.375 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.375 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.375 * [taylor]: Taking taylor expansion of x in y 6.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.375 * [taylor]: Taking taylor expansion of y in y 6.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.375 * [taylor]: Taking taylor expansion of x in y 6.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.376 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.376 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.376 * [taylor]: Taking taylor expansion of y in x 6.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.380 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.380 * [taylor]: Taking taylor expansion of x in x 6.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.380 * [taylor]: Taking taylor expansion of y in x 6.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.380 * [taylor]: Taking taylor expansion of x in x 6.384 * [taylor]: Taking taylor expansion of 1 in y 6.384 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.384 * [taylor]: Taking taylor expansion of -1/2 in y 6.384 * [taylor]: Taking taylor expansion of y in y 6.387 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.388 * [taylor]: Taking taylor expansion of 3/8 in y 6.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.388 * [taylor]: Taking taylor expansion of y in y 6.394 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.394 * [taylor]: Taking taylor expansion of -5/16 in y 6.394 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.394 * [taylor]: Taking taylor expansion of y in y 6.399 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.399 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.399 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.399 * [taylor]: Taking taylor expansion of x in y 6.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.399 * [taylor]: Taking taylor expansion of y in y 6.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.399 * [taylor]: Taking taylor expansion of x in y 6.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.400 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.400 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.400 * [taylor]: Taking taylor expansion of x in x 6.400 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.400 * [taylor]: Taking taylor expansion of y in x 6.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.400 * [taylor]: Taking taylor expansion of x in x 6.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.404 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.404 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.404 * [taylor]: Taking taylor expansion of x in x 6.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.404 * [taylor]: Taking taylor expansion of y in x 6.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.404 * [taylor]: Taking taylor expansion of x in x 6.408 * [taylor]: Taking taylor expansion of 1 in y 6.408 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.408 * [taylor]: Taking taylor expansion of -1/2 in y 6.408 * [taylor]: Taking taylor expansion of y in y 6.412 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.412 * [taylor]: Taking taylor expansion of 3/8 in y 6.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.412 * [taylor]: Taking taylor expansion of y in y 6.418 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.418 * [taylor]: Taking taylor expansion of -5/16 in y 6.418 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.418 * [taylor]: Taking taylor expansion of y in y 6.423 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.423 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 6.423 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 6.423 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.423 * [taylor]: Taking taylor expansion of x in y 6.423 * [taylor]: Taking taylor expansion of (+ x y) in y 6.423 * [taylor]: Taking taylor expansion of x in y 6.423 * [taylor]: Taking taylor expansion of y in y 6.424 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.424 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of (+ x y) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of y in x 6.425 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.425 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.425 * [taylor]: Taking taylor expansion of (+ x y) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.425 * [taylor]: Taking taylor expansion of y in x 6.425 * [taylor]: Taking taylor expansion of 0 in y 6.426 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 6.426 * [taylor]: Taking taylor expansion of +nan.0 in y 6.426 * [taylor]: Taking taylor expansion of y in y 6.427 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 6.427 * [taylor]: Taking taylor expansion of +nan.0 in y 6.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.427 * [taylor]: Taking taylor expansion of y in y 6.430 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.431 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.431 * [taylor]: Taking taylor expansion of y in y 6.431 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.432 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.432 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.432 * [taylor]: Taking taylor expansion of x in x 6.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.432 * [taylor]: Taking taylor expansion of y in x 6.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.432 * [taylor]: Taking taylor expansion of x in x 6.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.436 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.436 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.436 * [taylor]: Taking taylor expansion of y in x 6.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.439 * [taylor]: Taking taylor expansion of 1 in y 6.440 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.440 * [taylor]: Taking taylor expansion of -1/2 in y 6.440 * [taylor]: Taking taylor expansion of y in y 6.443 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.443 * [taylor]: Taking taylor expansion of 3/8 in y 6.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.443 * [taylor]: Taking taylor expansion of y in y 6.449 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.449 * [taylor]: Taking taylor expansion of -5/16 in y 6.449 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.449 * [taylor]: Taking taylor expansion of y in y 6.457 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.457 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.457 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.457 * [taylor]: Taking taylor expansion of x in y 6.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.457 * [taylor]: Taking taylor expansion of y in y 6.457 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.457 * [taylor]: Taking taylor expansion of x in y 6.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.458 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.458 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.459 * [taylor]: Taking taylor expansion of y in x 6.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.459 * [taylor]: Taking taylor expansion of x in x 6.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.462 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.462 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.462 * [taylor]: Taking taylor expansion of y in x 6.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.462 * [taylor]: Taking taylor expansion of x in x 6.466 * [taylor]: Taking taylor expansion of 1 in y 6.466 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.466 * [taylor]: Taking taylor expansion of -1/2 in y 6.466 * [taylor]: Taking taylor expansion of y in y 6.470 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.470 * [taylor]: Taking taylor expansion of 3/8 in y 6.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.470 * [taylor]: Taking taylor expansion of y in y 6.476 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.476 * [taylor]: Taking taylor expansion of -5/16 in y 6.476 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.476 * [taylor]: Taking taylor expansion of y in y 6.481 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.481 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 6.481 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of (+ x y) in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of y in y 6.481 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [taylor]: Taking taylor expansion of (+ x y) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [taylor]: Taking taylor expansion of y in x 6.482 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [taylor]: Taking taylor expansion of (+ x y) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [taylor]: Taking taylor expansion of y in x 6.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.482 * [taylor]: Taking taylor expansion of y in y 6.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.483 * [taylor]: Taking taylor expansion of y in y 6.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 6.486 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.486 * [taylor]: Taking taylor expansion of y in y 6.493 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.493 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.493 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.493 * [taylor]: Taking taylor expansion of x in y 6.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.493 * [taylor]: Taking taylor expansion of y in y 6.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.494 * [taylor]: Taking taylor expansion of x in y 6.494 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.494 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.494 * [taylor]: Taking taylor expansion of x in x 6.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.494 * [taylor]: Taking taylor expansion of y in x 6.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.494 * [taylor]: Taking taylor expansion of x in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.496 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.496 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.496 * [taylor]: Taking taylor expansion of y in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.498 * [taylor]: Taking taylor expansion of 1 in y 6.499 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.499 * [taylor]: Taking taylor expansion of y in y 6.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.503 * [taylor]: Taking taylor expansion of y in y 6.507 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.507 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.507 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.507 * [taylor]: Taking taylor expansion of x in y 6.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.507 * [taylor]: Taking taylor expansion of y in y 6.507 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.507 * [taylor]: Taking taylor expansion of x in y 6.508 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.508 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.508 * [taylor]: Taking taylor expansion of x in x 6.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.508 * [taylor]: Taking taylor expansion of y in x 6.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.508 * [taylor]: Taking taylor expansion of x in x 6.510 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.510 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.510 * [taylor]: Taking taylor expansion of x in x 6.510 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.510 * [taylor]: Taking taylor expansion of y in x 6.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.510 * [taylor]: Taking taylor expansion of x in x 6.512 * [taylor]: Taking taylor expansion of 1 in y 6.513 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.513 * [taylor]: Taking taylor expansion of y in y 6.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.517 * [taylor]: Taking taylor expansion of y in y 6.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.521 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 6.521 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.521 * [taylor]: Taking taylor expansion of x in y 6.521 * [taylor]: Taking taylor expansion of (+ x y) in y 6.521 * [taylor]: Taking taylor expansion of x in y 6.521 * [taylor]: Taking taylor expansion of y in y 6.521 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [taylor]: Taking taylor expansion of (+ x y) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [taylor]: Taking taylor expansion of y in x 6.521 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [taylor]: Taking taylor expansion of (+ x y) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [taylor]: Taking taylor expansion of y in x 6.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.521 * [taylor]: Taking taylor expansion of y in y 6.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.522 * [taylor]: Taking taylor expansion of y in y 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 6.526 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.526 * [taylor]: Taking taylor expansion of y in y 6.533 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.533 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.533 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.533 * [taylor]: Taking taylor expansion of x in y 6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.533 * [taylor]: Taking taylor expansion of y in y 6.533 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.533 * [taylor]: Taking taylor expansion of x in y 6.534 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.534 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.534 * [taylor]: Taking taylor expansion of x in x 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.534 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.534 * [taylor]: Taking taylor expansion of y in x 6.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.534 * [taylor]: Taking taylor expansion of x in x 6.536 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.536 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.536 * [taylor]: Taking taylor expansion of x in x 6.536 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.536 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.536 * [taylor]: Taking taylor expansion of y in x 6.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.536 * [taylor]: Taking taylor expansion of x in x 6.540 * [taylor]: Taking taylor expansion of 1 in y 6.541 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.542 * [taylor]: Taking taylor expansion of y in y 6.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.545 * [taylor]: Taking taylor expansion of y in y 6.549 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.549 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.549 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.549 * [taylor]: Taking taylor expansion of x in y 6.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.549 * [taylor]: Taking taylor expansion of y in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.549 * [taylor]: Taking taylor expansion of x in y 6.550 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.550 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.550 * [taylor]: Taking taylor expansion of x in x 6.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.550 * [taylor]: Taking taylor expansion of y in x 6.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.550 * [taylor]: Taking taylor expansion of x in x 6.552 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.552 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.552 * [taylor]: Taking taylor expansion of x in x 6.552 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.552 * [taylor]: Taking taylor expansion of y in x 6.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.552 * [taylor]: Taking taylor expansion of x in x 6.553 * [taylor]: Taking taylor expansion of 1 in y 6.555 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.555 * [taylor]: Taking taylor expansion of y in y 6.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.558 * [taylor]: Taking taylor expansion of y in y 6.563 * * * [progress]: simplifying candidates 6.566 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (sqrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (cbrt x) (cbrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (sqrt (/ (cbrt x) (sqrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (sqrt x) (cbrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ x (cbrt (+ x y)))) (sqrt (/ 1 (sqrt (+ x y)))) (sqrt (/ x (sqrt (+ x y)))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt 1) (sqrt (/ x (+ x y))) (sqrt x) (sqrt (/ 1 (+ x y))) (sqrt (/ x (+ (pow x 3) (pow y 3)))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (/ x (- (* x x) (* y y)))) (sqrt (- x y)) (sqrt x) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (sqrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (cbrt x) (cbrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (sqrt (/ (cbrt x) (sqrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (sqrt x) (cbrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ x (cbrt (+ x y)))) (sqrt (/ 1 (sqrt (+ x y)))) (sqrt (/ x (sqrt (+ x y)))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt 1) (sqrt (/ x (+ x y))) (sqrt x) (sqrt (/ 1 (+ x y))) (sqrt (/ x (+ (pow x 3) (pow y 3)))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (/ x (- (* x x) (* y y)))) (sqrt (- x y)) (sqrt x) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (expm1 (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (log1p (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ x (+ x y)) (/ x (+ x y))) (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y))) (+ 1 1) (+ (log (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y))))) (log (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (exp (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (* (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x 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