10.259 * [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 (+ x y)) 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 (+ x y)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [progress]: picking best candidate 0.014 * * * * [pick]: Picked # 0.014 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 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 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.066 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.068 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.078 * * [simplify]: iteration 1 : 128 enodes (cost 317 ) 0.104 * * [simplify]: iteration 2 : 373 enodes (cost 299 ) 0.199 * * [simplify]: iteration 3 : 1003 enodes (cost 299 ) 0.677 * * [simplify]: iteration 4 : 3231 enodes (cost 299 ) 3.031 * * [simplify]: iteration done : 5001 enodes (cost 299 ) 3.031 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (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))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 3.032 * * * [progress]: adding candidates to table 3.087 * * [progress]: iteration 2 / 4 3.087 * * * [progress]: picking best candidate 3.090 * * * * [pick]: Picked # 3.090 * * * [progress]: localizing error 3.095 * * * [progress]: generating rewritten candidates 3.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.116 * * * [progress]: generating series expansions 3.117 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.117 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.117 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.117 * [taylor]: Taking taylor expansion of (+ x y) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.117 * [taylor]: Taking taylor expansion of y in y 3.117 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (+ x y) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of y in x 3.117 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (+ x y) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of y in x 3.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.117 * [taylor]: Taking taylor expansion of y in y 3.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.119 * [taylor]: Taking taylor expansion of y in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.122 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.122 * [taylor]: Taking taylor expansion of y in y 3.129 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 3.129 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.129 * [taylor]: Taking taylor expansion of y in y 3.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.130 * [taylor]: Taking taylor expansion of x in y 3.130 * [taylor]: Taking taylor expansion of x in y 3.130 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.130 * [taylor]: Taking taylor expansion of y in x 3.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.132 * [taylor]: Taking taylor expansion of y in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.134 * [taylor]: Taking taylor expansion of 1 in y 3.135 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.135 * [taylor]: Taking taylor expansion of y in y 3.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.142 * [taylor]: Taking taylor expansion of y in y 3.146 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 3.146 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.146 * [taylor]: Taking taylor expansion of y in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.147 * [taylor]: Taking taylor expansion of y in x 3.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.149 * [taylor]: Taking taylor expansion of y in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.149 * [taylor]: Taking taylor expansion of x in x 3.149 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of 1 in y 3.152 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.152 * [taylor]: Taking taylor expansion of y in y 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.156 * [taylor]: Taking taylor expansion of y in y 3.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.160 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 3.160 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 3.160 * [taylor]: Taking taylor expansion of (+ x y) in y 3.160 * [taylor]: Taking taylor expansion of x in y 3.160 * [taylor]: Taking taylor expansion of y in y 3.160 * [taylor]: Taking taylor expansion of x in y 3.160 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 3.160 * [taylor]: Taking taylor expansion of (+ x y) in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [taylor]: Taking taylor expansion of y in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 3.160 * [taylor]: Taking taylor expansion of (+ x y) in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [taylor]: Taking taylor expansion of y in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [taylor]: Taking taylor expansion of y in y 3.161 * [taylor]: Taking taylor expansion of 1 in y 3.162 * [taylor]: Taking taylor expansion of 0 in y 3.164 * [taylor]: Taking taylor expansion of 0 in y 3.164 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.164 * [taylor]: Taking taylor expansion of y in y 3.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.164 * [taylor]: Taking taylor expansion of x in y 3.164 * [taylor]: Taking taylor expansion of x in y 3.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.164 * [taylor]: Taking taylor expansion of y in x 3.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.165 * [taylor]: Taking taylor expansion of y in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.166 * [taylor]: Taking taylor expansion of 0 in y 3.166 * [taylor]: Taking taylor expansion of 1 in y 3.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.168 * [taylor]: Taking taylor expansion of y in y 3.169 * [taylor]: Taking taylor expansion of 0 in y 3.171 * [taylor]: Taking taylor expansion of 0 in y 3.172 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.172 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.172 * [taylor]: Taking taylor expansion of y in y 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.173 * [taylor]: Taking taylor expansion of x in y 3.173 * [taylor]: Taking taylor expansion of x in y 3.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.173 * [taylor]: Taking taylor expansion of y in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.173 * [taylor]: Taking taylor expansion of y in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.174 * [taylor]: Taking taylor expansion of 0 in y 3.175 * [taylor]: Taking taylor expansion of 1 in y 3.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.176 * [taylor]: Taking taylor expansion of y in y 3.178 * [taylor]: Taking taylor expansion of 0 in y 3.180 * [taylor]: Taking taylor expansion of 0 in y 3.181 * * * [progress]: simplifying candidates 3.183 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 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 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) 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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) 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)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 3.187 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 3.219 * * [simplify]: iteration 1 : 362 enodes (cost 1432 ) 3.325 * * [simplify]: iteration 2 : 1216 enodes (cost 1203 ) 4.245 * * [simplify]: iteration 3 : 2726 enodes (cost 1179 ) 6.181 * * [simplify]: iteration done : 5000 enodes (cost 1179 ) 6.181 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) -1 (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (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))) -1 (- (/ (+ x y) x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (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 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (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 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (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 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ x y) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (/ (cbrt (+ y x)) (cbrt x)) (cbrt (+ y x))) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt (+ y x)) (/ (sqrt x) (cbrt (+ y x)))) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (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)) (/ (sqrt (+ y x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ x y))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (fma x x (* y (- y x)))) (* (- x y) x) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 6.182 * * * [progress]: adding candidates to table 6.334 * * [progress]: iteration 3 / 4 6.335 * * * [progress]: picking best candidate 6.336 * * * * [pick]: Picked # 6.336 * * * [progress]: localizing error 6.342 * * * [progress]: generating rewritten candidates 6.342 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.348 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.355 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.395 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.411 * * * [progress]: generating series expansions 6.411 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.411 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 6.411 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 6.411 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.411 * [taylor]: Taking taylor expansion of x in y 6.411 * [taylor]: Taking taylor expansion of (+ x y) in y 6.411 * [taylor]: Taking taylor expansion of x in y 6.411 * [taylor]: Taking taylor expansion of y in y 6.412 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.413 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.413 * [taylor]: Taking taylor expansion of x in x 6.413 * [taylor]: Taking taylor expansion of (+ x y) in x 6.413 * [taylor]: Taking taylor expansion of x in x 6.413 * [taylor]: Taking taylor expansion of y in x 6.413 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.413 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.413 * [taylor]: Taking taylor expansion of x in x 6.413 * [taylor]: Taking taylor expansion of (+ x y) in x 6.413 * [taylor]: Taking taylor expansion of x in x 6.413 * [taylor]: Taking taylor expansion of y in x 6.414 * [taylor]: Taking taylor expansion of 0 in y 6.414 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 6.414 * [taylor]: Taking taylor expansion of +nan.0 in y 6.414 * [taylor]: Taking taylor expansion of y in y 6.416 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 6.416 * [taylor]: Taking taylor expansion of +nan.0 in y 6.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.416 * [taylor]: Taking taylor expansion of y in y 6.419 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.419 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.419 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.419 * [taylor]: Taking taylor expansion of x in y 6.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.419 * [taylor]: Taking taylor expansion of y in y 6.419 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.420 * [taylor]: Taking taylor expansion of x in y 6.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.420 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.420 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.420 * [taylor]: Taking taylor expansion of x in x 6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.421 * [taylor]: Taking taylor expansion of y in x 6.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.424 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.424 * [taylor]: Taking taylor expansion of y in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.428 * [taylor]: Taking taylor expansion of 1 in y 6.428 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.428 * [taylor]: Taking taylor expansion of -1/2 in y 6.428 * [taylor]: Taking taylor expansion of y in y 6.436 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.436 * [taylor]: Taking taylor expansion of 3/8 in y 6.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.436 * [taylor]: Taking taylor expansion of y in y 6.442 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.442 * [taylor]: Taking taylor expansion of -5/16 in y 6.442 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.442 * [taylor]: Taking taylor expansion of y in y 6.447 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.447 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.447 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.447 * [taylor]: Taking taylor expansion of x in y 6.447 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.448 * [taylor]: Taking taylor expansion of y in y 6.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.448 * [taylor]: Taking taylor expansion of x in y 6.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.449 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.449 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.449 * [taylor]: Taking taylor expansion of x in x 6.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.449 * [taylor]: Taking taylor expansion of y in x 6.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.449 * [taylor]: Taking taylor expansion of x in x 6.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.453 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.453 * [taylor]: Taking taylor expansion of y in x 6.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.456 * [taylor]: Taking taylor expansion of 1 in y 6.456 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.457 * [taylor]: Taking taylor expansion of -1/2 in y 6.457 * [taylor]: Taking taylor expansion of y in y 6.460 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.460 * [taylor]: Taking taylor expansion of 3/8 in y 6.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.460 * [taylor]: Taking taylor expansion of y in y 6.466 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.466 * [taylor]: Taking taylor expansion of -5/16 in y 6.466 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.466 * [taylor]: Taking taylor expansion of y in y 6.471 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.471 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 6.471 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 6.471 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.471 * [taylor]: Taking taylor expansion of x in y 6.471 * [taylor]: Taking taylor expansion of (+ x y) in y 6.471 * [taylor]: Taking taylor expansion of x in y 6.471 * [taylor]: Taking taylor expansion of y in y 6.472 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.472 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [taylor]: Taking taylor expansion of (+ x y) in x 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [taylor]: Taking taylor expansion of y in x 6.473 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 6.473 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [taylor]: Taking taylor expansion of (+ x y) in x 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [taylor]: Taking taylor expansion of y in x 6.474 * [taylor]: Taking taylor expansion of 0 in y 6.474 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 6.474 * [taylor]: Taking taylor expansion of +nan.0 in y 6.474 * [taylor]: Taking taylor expansion of y in y 6.476 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 6.476 * [taylor]: Taking taylor expansion of +nan.0 in y 6.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.476 * [taylor]: Taking taylor expansion of y in y 6.479 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.479 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.479 * [taylor]: Taking taylor expansion of x in y 6.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.479 * [taylor]: Taking taylor expansion of y in y 6.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.480 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.481 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.481 * [taylor]: Taking taylor expansion of y in x 6.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.485 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.485 * [taylor]: Taking taylor expansion of y in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.489 * [taylor]: Taking taylor expansion of 1 in y 6.489 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.489 * [taylor]: Taking taylor expansion of -1/2 in y 6.489 * [taylor]: Taking taylor expansion of y in y 6.493 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.493 * [taylor]: Taking taylor expansion of 3/8 in y 6.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.493 * [taylor]: Taking taylor expansion of y in y 6.499 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.499 * [taylor]: Taking taylor expansion of -5/16 in y 6.499 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.499 * [taylor]: Taking taylor expansion of y in y 6.504 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 6.504 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.504 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.504 * [taylor]: Taking taylor expansion of x in y 6.504 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.505 * [taylor]: Taking taylor expansion of y in y 6.505 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.505 * [taylor]: Taking taylor expansion of x in y 6.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 6.506 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.506 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.506 * [taylor]: Taking taylor expansion of x in x 6.506 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.506 * [taylor]: Taking taylor expansion of y in x 6.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.506 * [taylor]: Taking taylor expansion of x in x 6.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 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 6.513 * [taylor]: Taking taylor expansion of 1 in y 6.513 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.513 * [taylor]: Taking taylor expansion of -1/2 in y 6.513 * [taylor]: Taking taylor expansion of y in y 6.519 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 6.519 * [taylor]: Taking taylor expansion of 3/8 in y 6.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.520 * [taylor]: Taking taylor expansion of y in y 6.525 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 6.526 * [taylor]: Taking taylor expansion of -5/16 in y 6.526 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.526 * [taylor]: Taking taylor expansion of y in y 6.531 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.531 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 6.531 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.531 * [taylor]: Taking taylor expansion of x in y 6.531 * [taylor]: Taking taylor expansion of (+ x y) in y 6.531 * [taylor]: Taking taylor expansion of x in y 6.531 * [taylor]: Taking taylor expansion of y in y 6.531 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [taylor]: Taking taylor expansion of (+ x y) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [taylor]: Taking taylor expansion of y in x 6.531 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [taylor]: Taking taylor expansion of (+ x y) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [taylor]: Taking taylor expansion of y in x 6.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.532 * [taylor]: Taking taylor expansion of y in y 6.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.533 * [taylor]: Taking taylor expansion of y in y 6.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 6.536 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.536 * [taylor]: Taking taylor expansion of y in y 6.543 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.543 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.543 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.543 * [taylor]: Taking taylor expansion of x in y 6.543 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.544 * [taylor]: Taking taylor expansion of y in y 6.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.544 * [taylor]: Taking taylor expansion of x in y 6.544 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.544 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.544 * [taylor]: Taking taylor expansion of x in x 6.544 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.544 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.544 * [taylor]: Taking taylor expansion of y in x 6.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.544 * [taylor]: Taking taylor expansion of x in x 6.546 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.546 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.546 * [taylor]: Taking taylor expansion of x in x 6.546 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.546 * [taylor]: Taking taylor expansion of y in x 6.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.546 * [taylor]: Taking taylor expansion of x in x 6.548 * [taylor]: Taking taylor expansion of 1 in y 6.549 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.550 * [taylor]: Taking taylor expansion of y in y 6.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.553 * [taylor]: Taking taylor expansion of y in y 6.557 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.557 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.557 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.557 * [taylor]: Taking taylor expansion of x in y 6.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.557 * [taylor]: Taking taylor expansion of y in y 6.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.558 * [taylor]: Taking taylor expansion of x in y 6.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.558 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.558 * [taylor]: Taking taylor expansion of y in x 6.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.560 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.560 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.560 * [taylor]: Taking taylor expansion of x in x 6.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.560 * [taylor]: Taking taylor expansion of y in x 6.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.560 * [taylor]: Taking taylor expansion of x in x 6.562 * [taylor]: Taking taylor expansion of 1 in y 6.563 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.563 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.563 * [taylor]: Taking taylor expansion of y in y 6.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.567 * [taylor]: Taking taylor expansion of y in y 6.571 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.571 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 6.571 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.571 * [taylor]: Taking taylor expansion of x in y 6.571 * [taylor]: Taking taylor expansion of (+ x y) in y 6.571 * [taylor]: Taking taylor expansion of x in y 6.571 * [taylor]: Taking taylor expansion of y in y 6.571 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [taylor]: Taking taylor expansion of (+ x y) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [taylor]: Taking taylor expansion of y in x 6.571 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [taylor]: Taking taylor expansion of (+ x y) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [taylor]: Taking taylor expansion of y in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.571 * [taylor]: Taking taylor expansion of y in y 6.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.572 * [taylor]: Taking taylor expansion of y in y 6.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 6.576 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.576 * [taylor]: Taking taylor expansion of y in y 6.583 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.583 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.583 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.583 * [taylor]: Taking taylor expansion of x in y 6.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.583 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.583 * [taylor]: Taking taylor expansion of y in y 6.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.583 * [taylor]: Taking taylor expansion of x in y 6.584 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.584 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.584 * [taylor]: Taking taylor expansion of x in x 6.584 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.584 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.584 * [taylor]: Taking taylor expansion of y in x 6.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.584 * [taylor]: Taking taylor expansion of x in x 6.586 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.586 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.586 * [taylor]: Taking taylor expansion of x in x 6.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.586 * [taylor]: Taking taylor expansion of y in x 6.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.586 * [taylor]: Taking taylor expansion of x in x 6.587 * [taylor]: Taking taylor expansion of 1 in y 6.589 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.589 * [taylor]: Taking taylor expansion of y in y 6.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.592 * [taylor]: Taking taylor expansion of y in y 6.597 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.597 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.597 * [taylor]: Taking taylor expansion of x in y 6.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.597 * [taylor]: Taking taylor expansion of y in y 6.597 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.597 * [taylor]: Taking taylor expansion of x in y 6.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.597 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.597 * [taylor]: Taking taylor expansion of x in x 6.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.598 * [taylor]: Taking taylor expansion of y in x 6.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.598 * [taylor]: Taking taylor expansion of x in x 6.600 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.600 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.600 * [taylor]: Taking taylor expansion of x in x 6.600 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.600 * [taylor]: Taking taylor expansion of y in x 6.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.600 * [taylor]: Taking taylor expansion of x in x 6.604 * [taylor]: Taking taylor expansion of 1 in y 6.605 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.605 * [taylor]: Taking taylor expansion of y in y 6.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.609 * [taylor]: Taking taylor expansion of y in y 6.613 * * * [progress]: simplifying candidates 6.616 * [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 (+ x y)))) (sqrt (/ x (+ x y))))) (* (cbrt (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (cbrt (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x 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