7.994 * [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. 0.012 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [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 0.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [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 0.039 * [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 (* 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 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [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 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [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 0.065 * * * [progress]: simplifying candidates 0.070 * [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 0.073 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.076 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.082 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.100 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.149 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.150 * [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 0.150 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.217 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.224 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.224 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.224 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.224 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.224 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.224 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (+ x y) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.225 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.226 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.226 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.226 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.226 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.227 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.227 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.227 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.227 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.227 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.235 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.235 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.235 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.235 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.235 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.235 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.237 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.237 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.237 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.237 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.237 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.240 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.240 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.240 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.240 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.240 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.265 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.265 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.265 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.265 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.265 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.265 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.265 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.271 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.271 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.271 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.271 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.271 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.271 * [taylor]: Taking taylor expansion of 1 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.274 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.274 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.274 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.274 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.274 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.299 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.299 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.299 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (+ x y) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (+ x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (+ x y) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.311 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.311 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.311 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.313 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.324 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.324 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.337 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.337 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.337 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.337 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (+ x y) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.338 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.338 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.339 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.339 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (+ x y) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of -3/2 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.345 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.345 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.345 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.345 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.345 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.347 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.347 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.349 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.349 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.349 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (log 2) in y 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.359 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.359 * [taylor]: Taking taylor expansion of -1/2 in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of 3/8 in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.372 * [taylor]: Taking taylor expansion of -7/24 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.377 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.378 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.378 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.378 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.379 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.379 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.379 * [taylor]: Taking taylor expansion of 1 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.381 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.381 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (log 2) in y 0.384 * [taylor]: Taking taylor expansion of 2 in y 0.386 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.386 * [taylor]: Taking taylor expansion of -1/2 in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of 3/8 in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.399 * [taylor]: Taking taylor expansion of -7/24 in y 0.399 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.404 * * * [progress]: simplifying candidates 0.405 * [simplify]: Simplifying using # : (exp (log1p (/ x (+ x y)))) (expm1 (expm1 (log1p (/ x (+ x y))))) (log1p (expm1 (log1p (/ x (+ x y))))) (log (expm1 (log1p (/ x (+ x y))))) (exp (expm1 (log1p (/ x (+ x y))))) (* (cbrt (expm1 (log1p (/ x (+ x y))))) (cbrt (expm1 (log1p (/ x (+ x y)))))) (cbrt (expm1 (log1p (/ x (+ x y))))) (* (* (expm1 (log1p (/ x (+ x y)))) (expm1 (log1p (/ x (+ x y))))) (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (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))) (+ 1 (/ x (+ x y))) (expm1 (log1p (/ x (+ x y)))) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (* (* (log1p (/ x (+ x y))) (log1p (/ x (+ x y)))) (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.409 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.412 * * [simplify]: iteration 1 : 426 enodes (cost 229 ) 0.418 * * [simplify]: iteration 2 : 1102 enodes (cost 229 ) 0.437 * * [simplify]: iteration 3 : 3875 enodes (cost 229 ) 0.486 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.488 * [simplify]: Simplified to: (exp (log1p (/ x (+ x y)))) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (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))) (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))) (+ 1 (/ x (+ x y))) (/ x (+ x y)) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (pow (log1p (/ x (+ x y))) 3) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.488 * * * [progress]: adding candidates to table 0.616 * * [progress]: iteration 3 / 4 0.616 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.626 * * * [progress]: generating rewritten candidates 0.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.641 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.670 * * * [progress]: generating series expansions 0.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.671 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.671 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.671 * [taylor]: Taking taylor expansion of 1/3 in y 0.671 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.671 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (+ x y) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.673 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ x y) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.673 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ x y) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.674 * [taylor]: Taking taylor expansion of 1/3 in y 0.674 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.674 * [taylor]: Taking taylor expansion of (log x) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.676 * [taylor]: Taking taylor expansion of -1/3 in y 0.677 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.677 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.677 * [taylor]: Taking taylor expansion of 1/3 in y 0.677 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.677 * [taylor]: Taking taylor expansion of (log x) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.691 * [taylor]: Taking taylor expansion of 2/9 in y 0.691 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.691 * [taylor]: Taking taylor expansion of 1/3 in y 0.691 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.691 * [taylor]: Taking taylor expansion of (log x) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.716 * [taylor]: Taking taylor expansion of -14/81 in y 0.716 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.716 * [taylor]: Taking taylor expansion of 1/3 in y 0.716 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.716 * [taylor]: Taking taylor expansion of (log x) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.737 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.737 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.737 * [taylor]: Taking taylor expansion of 1/3 in y 0.737 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.737 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.738 * [taylor]: Taking taylor expansion of 1/3 in x 0.739 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.739 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.743 * [taylor]: Taking taylor expansion of 1/3 in x 0.743 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.743 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of 1 in y 0.748 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.748 * [taylor]: Taking taylor expansion of -1/3 in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of 2/9 in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.760 * [taylor]: Taking taylor expansion of -14/81 in y 0.760 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.771 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.771 * [taylor]: Taking taylor expansion of 1/3 in y 0.771 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.771 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.772 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.772 * [taylor]: Taking taylor expansion of 1/3 in x 0.772 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.772 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.777 * [taylor]: Taking taylor expansion of 1/3 in x 0.777 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of 1 in y 0.781 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.781 * [taylor]: Taking taylor expansion of -1/3 in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of 2/9 in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.794 * [taylor]: Taking taylor expansion of -14/81 in y 0.794 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.799 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.799 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.799 * [taylor]: Taking taylor expansion of 1/3 in y 0.799 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.799 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of (+ x y) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.801 * [taylor]: Taking taylor expansion of 1/3 in x 0.801 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.801 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (+ x y) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.802 * [taylor]: Taking taylor expansion of 1/3 in x 0.802 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.802 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (+ x y) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.803 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.803 * [taylor]: Taking taylor expansion of 1/3 in y 0.803 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.803 * [taylor]: Taking taylor expansion of (log x) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.805 * [taylor]: Taking taylor expansion of -1/3 in y 0.805 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.805 * [taylor]: Taking taylor expansion of 1/3 in y 0.805 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.805 * [taylor]: Taking taylor expansion of (log x) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of 2/9 in y 0.814 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.814 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.814 * [taylor]: Taking taylor expansion of 1/3 in y 0.814 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.814 * [taylor]: Taking taylor expansion of (log x) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.838 * [taylor]: Taking taylor expansion of -14/81 in y 0.838 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.838 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.838 * [taylor]: Taking taylor expansion of 1/3 in y 0.838 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.838 * [taylor]: Taking taylor expansion of (log x) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.865 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.865 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.865 * [taylor]: Taking taylor expansion of 1/3 in y 0.865 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.865 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.866 * [taylor]: Taking taylor expansion of 1/3 in x 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.866 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.871 * [taylor]: Taking taylor expansion of 1/3 in x 0.871 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.871 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1 in y 0.875 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.875 * [taylor]: Taking taylor expansion of -1/3 in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of 2/9 in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.887 * [taylor]: Taking taylor expansion of -14/81 in y 0.887 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.894 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.894 * [taylor]: Taking taylor expansion of 1/3 in y 0.894 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.894 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.895 * [taylor]: Taking taylor expansion of 1/3 in x 0.895 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.899 * [taylor]: Taking taylor expansion of 1/3 in x 0.899 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.900 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 1 in y 0.904 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.904 * [taylor]: Taking taylor expansion of -1/3 in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of 2/9 in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.917 * [taylor]: Taking taylor expansion of -14/81 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.922 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.922 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.922 * [taylor]: Taking taylor expansion of 1/3 in y 0.922 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.922 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (+ x y) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.924 * [taylor]: Taking taylor expansion of 1/3 in x 0.924 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.924 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (+ x y) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.925 * [taylor]: Taking taylor expansion of 1/3 in x 0.925 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.925 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (+ x y) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.925 * [taylor]: Taking taylor expansion of 1/3 in y 0.925 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.925 * [taylor]: Taking taylor expansion of (log x) in y 0.926 * [taylor]: Taking taylor expansion of x in y 0.926 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.928 * [taylor]: Taking taylor expansion of -1/3 in y 0.928 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.928 * [taylor]: Taking taylor expansion of 1/3 in y 0.928 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.928 * [taylor]: Taking taylor expansion of (log x) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.937 * [taylor]: Taking taylor expansion of 2/9 in y 0.937 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.937 * [taylor]: Taking taylor expansion of 1/3 in y 0.938 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.938 * [taylor]: Taking taylor expansion of (log x) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.967 * [taylor]: Taking taylor expansion of -14/81 in y 0.967 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.967 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.967 * [taylor]: Taking taylor expansion of 1/3 in y 0.967 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.967 * [taylor]: Taking taylor expansion of (log x) in y 0.967 * [taylor]: Taking taylor expansion of x in y 0.967 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.989 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.989 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.989 * [taylor]: Taking taylor expansion of 1/3 in y 0.989 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.989 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.991 * [taylor]: Taking taylor expansion of 1/3 in x 0.991 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.995 * [taylor]: Taking taylor expansion of 1/3 in x 0.995 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 1 in y 1.000 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.000 * [taylor]: Taking taylor expansion of -1/3 in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of 2/9 in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.012 * [taylor]: Taking taylor expansion of -14/81 in y 1.012 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.017 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.017 * [taylor]: Taking taylor expansion of 1/3 in y 1.017 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.017 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.019 * [taylor]: Taking taylor expansion of 1/3 in x 1.019 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.023 * [taylor]: Taking taylor expansion of 1/3 in x 1.023 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.023 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of 1 in y 1.033 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.033 * [taylor]: Taking taylor expansion of -1/3 in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of 2/9 in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.046 * [taylor]: Taking taylor expansion of -14/81 in y 1.046 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.051 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.051 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in (x y) around 0 1.051 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 1.051 * [taylor]: Taking taylor expansion of 1/3 in y 1.051 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 1.051 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 1.051 * [taylor]: Taking taylor expansion of (+ x y) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 1.053 * [taylor]: Taking taylor expansion of 1/3 in x 1.053 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 1.053 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.053 * [taylor]: Taking taylor expansion of (+ x y) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 1.054 * [taylor]: Taking taylor expansion of 1/3 in x 1.054 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 1.055 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.055 * [taylor]: Taking taylor expansion of (+ x y) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.056 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.056 * [taylor]: Taking taylor expansion of 1/3 in y 1.056 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.056 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.056 * [taylor]: Taking taylor expansion of 2 in y 1.056 * [taylor]: Taking taylor expansion of (log x) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y)) in y 1.059 * [taylor]: Taking taylor expansion of -2/3 in y 1.059 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y) in y 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.059 * [taylor]: Taking taylor expansion of 1/3 in y 1.059 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.059 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.059 * [taylor]: Taking taylor expansion of 2 in y 1.059 * [taylor]: Taking taylor expansion of (log x) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.060 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (* 5/9 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of 5/9 in y 1.072 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.072 * [taylor]: Taking taylor expansion of 1/3 in y 1.072 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.072 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.072 * [taylor]: Taking taylor expansion of 2 in y 1.072 * [taylor]: Taking taylor expansion of (log x) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (* -40/81 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3))) in y 1.102 * [taylor]: Taking taylor expansion of -40/81 in y 1.102 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3)) in y 1.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.102 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.102 * [taylor]: Taking taylor expansion of 1/3 in y 1.102 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.102 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.102 * [taylor]: Taking taylor expansion of 2 in y 1.102 * [taylor]: Taking taylor expansion of (log x) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.133 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 1.133 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 1.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 1.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 1.133 * [taylor]: Taking taylor expansion of 1/3 in y 1.133 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 1.133 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.134 * [taylor]: Taking taylor expansion of x in y 1.135 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 1.135 * [taylor]: Taking taylor expansion of 1/3 in x 1.135 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.135 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.135 * [taylor]: Taking taylor expansion of y in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 1.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 1.139 * [taylor]: Taking taylor expansion of 1/3 in x 1.139 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.139 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1 in y 1.144 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 1.144 * [taylor]: Taking taylor expansion of -2/3 in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of 5/9 in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 1.157 * [taylor]: Taking taylor expansion of -40/81 in y 1.157 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.162 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 1.162 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 1.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 1.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 1.162 * [taylor]: Taking taylor expansion of 1/3 in y 1.162 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 1.162 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.162 * [taylor]: Taking taylor expansion of x in y 1.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.164 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 1.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 1.164 * [taylor]: Taking taylor expansion of 1/3 in x 1.164 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.164 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.165 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 1.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 1.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 1.168 * [taylor]: Taking taylor expansion of 1/3 in x 1.168 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.168 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of 1 in y 1.173 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 1.173 * [taylor]: Taking taylor expansion of -2/3 in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of 5/9 in y 1.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 1.186 * [taylor]: Taking taylor expansion of -40/81 in y 1.186 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.186 * [taylor]: Taking taylor expansion of y in y 1.191 * * * [progress]: simplifying candidates 1.194 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) 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(cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (cbrt (/ (cbrt x) (sqrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (sqrt x) (cbrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ 1 (sqrt (+ x y)))) (cbrt (/ x (sqrt (+ x y)))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt 1) (cbrt (/ x (+ x y))) (cbrt x) (cbrt (/ 1 (+ x y))) (cbrt (/ x (+ (pow x 3) (pow y 3)))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (/ x (- (* x x) (* y y)))) (cbrt (- x y)) (cbrt x) (cbrt (+ x y)) (* (cbrt (cbrt (/ x (+ x y)))) (cbrt 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(cbrt x)) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ (pow x 3) (pow y 3))))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (- (* x x) (* y y))))) (pow (cbrt (cbrt (/ x (+ x y)))) 5) (pow (sqrt (cbrt (/ x (+ x y)))) 3) (cbrt (/ x (+ x y))) (pow (cbrt (cbrt (/ x (+ x y)))) 4) (* (cbrt (/ x (+ x y))) (cbrt (sqrt (/ x (+ x y))))) (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (cbrt x) (sqrt (+ x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (sqrt x) (cbrt (+ x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (/ x (+ x y))) (cbrt (/ (sqrt x) (sqrt (+ x y))))) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (/ x (sqrt (+ x y)))) (cbrt (/ x (+ x y)))) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (* (cbrt (/ 1 (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (- x y)) (cbrt (/ x (+ x y)))) (pow (cbrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 3) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (* (cbrt (/ x (+ x y))) (cbrt x)) (* (cbrt (/ x (+ x y))) (cbrt x)) (exp (* 1/3 (- (log x) (log y)))) 1 1 (exp (* 1/3 (- (log x) (log y)))) 1 1 (exp (* 1/3 (- (log x) (log y)))) 1 1 (pow (exp 2/3) (- (log x) (log y))) 1 1 1.271 * * * [progress]: adding candidates to table 1.703 * * [progress]: iteration 4 / 4 1.703 * * * [progress]: picking best candidate 1.705 * * * * [pick]: Picked # 1.705 * * * [progress]: localizing error 1.717 * * * [progress]: generating rewritten candidates 1.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 1.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.741 * * * [progress]: generating series expansions 1.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.741 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 1.741 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 1.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 1.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 1.741 * [taylor]: Taking taylor expansion of 1/3 in y 1.741 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 1.741 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.741 * [taylor]: Taking taylor expansion of x in y 1.741 * [taylor]: Taking taylor expansion of (+ x y) in y 1.741 * [taylor]: Taking taylor expansion of x in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.743 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.743 * [taylor]: Taking taylor expansion of 1/3 in x 1.743 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.743 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (+ x y) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.744 * [taylor]: Taking taylor expansion of 1/3 in x 1.744 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.744 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (+ x y) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.744 * [taylor]: Taking taylor expansion of 1/3 in y 1.744 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.744 * [taylor]: Taking taylor expansion of (log x) in y 1.744 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.747 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 1.747 * [taylor]: Taking taylor expansion of -1/3 in y 1.747 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 1.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.747 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.747 * [taylor]: Taking taylor expansion of 1/3 in y 1.747 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.747 * [taylor]: Taking taylor expansion of (log x) in y 1.747 * [taylor]: Taking taylor expansion of x in y 1.747 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.748 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 1.756 * [taylor]: Taking taylor expansion of 2/9 in y 1.756 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 1.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.756 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.756 * [taylor]: Taking taylor expansion of 1/3 in y 1.756 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.756 * [taylor]: Taking taylor expansion of (log x) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.785 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 1.785 * [taylor]: Taking taylor expansion of -14/81 in y 1.785 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 1.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.785 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.785 * [taylor]: Taking taylor expansion of 1/3 in y 1.785 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.785 * [taylor]: Taking taylor expansion of (log x) in y 1.785 * [taylor]: Taking taylor expansion of x in y 1.785 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.785 * [taylor]: Taking taylor expansion of y in y 1.786 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.806 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 1.806 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.807 * [taylor]: Taking taylor expansion of 1/3 in y 1.807 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.807 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.807 * [taylor]: Taking taylor expansion of x in y 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.807 * [taylor]: Taking taylor expansion of x in y 1.808 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.808 * [taylor]: Taking taylor expansion of 1/3 in x 1.808 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.808 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.808 * [taylor]: Taking taylor expansion of y in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.812 * [taylor]: Taking taylor expansion of 1/3 in x 1.812 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.812 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of 1 in y 1.817 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.817 * [taylor]: Taking taylor expansion of -1/3 in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.821 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.821 * [taylor]: Taking taylor expansion of 2/9 in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.829 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.829 * [taylor]: Taking taylor expansion of -14/81 in y 1.829 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.834 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 1.834 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.834 * [taylor]: Taking taylor expansion of 1/3 in y 1.834 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.834 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.834 * [taylor]: Taking taylor expansion of x in y 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.836 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.836 * [taylor]: Taking taylor expansion of 1/3 in x 1.836 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.836 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.836 * [taylor]: Taking taylor expansion of y in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.840 * [taylor]: Taking taylor expansion of 1/3 in x 1.840 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.840 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of 1 in y 1.845 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.845 * [taylor]: Taking taylor expansion of -1/3 in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.849 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.849 * [taylor]: Taking taylor expansion of 2/9 in y 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.849 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.862 * [taylor]: Taking taylor expansion of -14/81 in y 1.862 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.868 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.868 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 1.868 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 1.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 1.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 1.868 * [taylor]: Taking taylor expansion of 1/3 in y 1.868 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 1.868 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.868 * [taylor]: Taking taylor expansion of x in y 1.868 * [taylor]: Taking taylor expansion of (+ x y) in y 1.868 * [taylor]: Taking taylor expansion of x in y 1.868 * [taylor]: Taking taylor expansion of y in y 1.869 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.869 * [taylor]: Taking taylor expansion of 1/3 in x 1.870 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.870 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (+ x y) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.870 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.870 * [taylor]: Taking taylor expansion of 1/3 in x 1.870 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.870 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (+ x y) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.871 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.871 * [taylor]: Taking taylor expansion of 1/3 in y 1.871 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.871 * [taylor]: Taking taylor expansion of (log x) in y 1.871 * [taylor]: Taking taylor expansion of x in y 1.871 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.871 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 1.873 * [taylor]: Taking taylor expansion of -1/3 in y 1.873 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 1.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.873 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.873 * [taylor]: Taking taylor expansion of 1/3 in y 1.873 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.873 * [taylor]: Taking taylor expansion of (log x) in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.874 * [taylor]: Taking taylor expansion of y in y 1.883 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of 2/9 in y 1.883 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 1.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.883 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.883 * [taylor]: Taking taylor expansion of 1/3 in y 1.883 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.883 * [taylor]: Taking taylor expansion of (log x) in y 1.883 * [taylor]: Taking taylor expansion of x in y 1.883 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.884 * [taylor]: Taking taylor expansion of y in y 1.906 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 1.906 * [taylor]: Taking taylor expansion of -14/81 in y 1.906 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 1.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 1.907 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.907 * [taylor]: Taking taylor expansion of 1/3 in y 1.907 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.907 * [taylor]: Taking taylor expansion of (log x) in y 1.907 * [taylor]: Taking taylor expansion of x in y 1.907 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.907 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.928 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 1.928 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.928 * [taylor]: Taking taylor expansion of 1/3 in y 1.928 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.928 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.928 * [taylor]: Taking taylor expansion of x in y 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.929 * [taylor]: Taking taylor expansion of x in y 1.929 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.929 * [taylor]: Taking taylor expansion of 1/3 in x 1.929 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.929 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.929 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.934 * [taylor]: Taking taylor expansion of 1/3 in x 1.934 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.934 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.934 * [taylor]: Taking taylor expansion of y in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of 1 in y 1.943 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.943 * [taylor]: Taking taylor expansion of -1/3 in y 1.943 * [taylor]: Taking taylor expansion of y in y 1.948 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.948 * [taylor]: Taking taylor expansion of 2/9 in y 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.956 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.956 * [taylor]: Taking taylor expansion of -14/81 in y 1.956 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.961 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 1.961 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.961 * [taylor]: Taking taylor expansion of 1/3 in y 1.961 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.961 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.961 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.961 * [taylor]: Taking taylor expansion of x in y 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.961 * [taylor]: Taking taylor expansion of x in y 1.962 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.962 * [taylor]: Taking taylor expansion of 1/3 in x 1.962 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.962 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.962 * [taylor]: Taking taylor expansion of y in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.967 * [taylor]: Taking taylor expansion of 1/3 in x 1.967 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.967 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of 1 in y 1.972 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.972 * [taylor]: Taking taylor expansion of -1/3 in y 1.972 * [taylor]: Taking taylor expansion of y in y 1.976 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 1.976 * [taylor]: Taking taylor expansion of 2/9 in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.984 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 1.984 * [taylor]: Taking taylor expansion of -14/81 in y 1.984 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.984 * [taylor]: Taking taylor expansion of y in y 1.989 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 1.989 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.989 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.989 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.989 * [taylor]: Taking taylor expansion of x in y 1.989 * [taylor]: Taking taylor expansion of (+ x y) in y 1.989 * [taylor]: Taking taylor expansion of x in y 1.989 * [taylor]: Taking taylor expansion of y in y 1.990 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.990 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (+ x y) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.991 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.991 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (+ x y) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of 0 in y 1.992 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.992 * [taylor]: Taking taylor expansion of +nan.0 in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.994 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.994 * [taylor]: Taking taylor expansion of +nan.0 in y 1.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.994 * [taylor]: Taking taylor expansion of y in y 1.997 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.997 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.997 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.997 * [taylor]: Taking taylor expansion of y in y 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.998 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.002 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.002 * [taylor]: Taking taylor expansion of y in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of 1 in y 2.006 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.006 * [taylor]: Taking taylor expansion of -1/2 in y 2.006 * [taylor]: Taking taylor expansion of y in y 2.010 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.010 * [taylor]: Taking taylor expansion of 3/8 in y 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.010 * [taylor]: Taking taylor expansion of y in y 2.017 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 2.017 * [taylor]: Taking taylor expansion of -5/16 in y 2.017 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.017 * [taylor]: Taking taylor expansion of y in y 2.022 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 2.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.022 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.022 * [taylor]: Taking taylor expansion of x in y 2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.022 * [taylor]: Taking taylor expansion of y in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.022 * [taylor]: Taking taylor expansion of x in y 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.029 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.033 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.033 * [taylor]: Taking taylor expansion of y in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.037 * [taylor]: Taking taylor expansion of 1 in y 2.037 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.037 * [taylor]: Taking taylor expansion of -1/2 in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.040 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.040 * [taylor]: Taking taylor expansion of 3/8 in y 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.040 * [taylor]: Taking taylor expansion of y in y 2.046 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 2.046 * [taylor]: Taking taylor expansion of -5/16 in y 2.046 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.051 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.052 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 2.052 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 2.052 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.052 * [taylor]: Taking taylor expansion of x in y 2.052 * [taylor]: Taking taylor expansion of (+ x y) in y 2.052 * [taylor]: Taking taylor expansion of x in y 2.052 * [taylor]: Taking taylor expansion of y in y 2.053 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 2.053 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (+ x y) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.053 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 2.053 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (+ x y) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.054 * [taylor]: Taking taylor expansion of 0 in y 2.054 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 2.054 * [taylor]: Taking taylor expansion of +nan.0 in y 2.054 * [taylor]: Taking taylor expansion of y in y 2.056 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 2.056 * [taylor]: Taking taylor expansion of +nan.0 in y 2.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.059 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 2.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.059 * [taylor]: Taking taylor expansion of x in y 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.059 * [taylor]: Taking taylor expansion of y in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.064 * [taylor]: Taking taylor expansion of y in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of 1 in y 2.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.069 * [taylor]: Taking taylor expansion of -1/2 in y 2.069 * [taylor]: Taking taylor expansion of y in y 2.072 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.072 * [taylor]: Taking taylor expansion of 3/8 in y 2.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.072 * [taylor]: Taking taylor expansion of y in y 2.078 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 2.078 * [taylor]: Taking taylor expansion of -5/16 in y 2.078 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.078 * [taylor]: Taking taylor expansion of y in y 2.083 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 2.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.083 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.084 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.088 * [taylor]: Taking taylor expansion of y in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of 1 in y 2.092 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.092 * [taylor]: Taking taylor expansion of -1/2 in y 2.092 * [taylor]: Taking taylor expansion of y in y 2.095 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.095 * [taylor]: Taking taylor expansion of 3/8 in y 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.101 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 2.101 * [taylor]: Taking taylor expansion of -5/16 in y 2.101 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.106 * * * [progress]: simplifying candidates 2.114 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (cbrt (/ (cbrt x) (sqrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (sqrt x) (cbrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ 1 (sqrt (+ x y)))) (cbrt (/ x (sqrt (+ x y)))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt 1) (cbrt (/ x (+ x y))) (cbrt x) (cbrt (/ 1 (+ x y))) (cbrt (/ x (+ (pow x 3) (pow y 3)))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (/ x (- (* x x) (* y y)))) (cbrt (- x y)) (cbrt x) (cbrt (+ x y)) (* (cbrt (cbrt (/ x (+ x y)))) (cbrt (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (* (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y)))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (cbrt (/ x (+ x y)))) (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) 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y)))) 1 1 (exp (* 1/3 (- (log x) (log y)))) 1 1 0 1 1 0 1 1 2.120 * * [simplify]: iteration 0 : 164 enodes (cost 816 ) 2.123 * * [simplify]: iteration 1 : 281 enodes (cost 776 ) 2.127 * * [simplify]: iteration 2 : 592 enodes (cost 766 ) 2.136 * * [simplify]: iteration 3 : 1286 enodes (cost 754 ) 2.168 * * [simplify]: iteration 4 : 5001 enodes (cost 750 ) 2.173 * [simplify]: Simplified to: (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (cbrt (/ (cbrt x) (sqrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x 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(# # #) 2.573 * * * * [regimes]: Trying to branch on y from (# # #) 2.585 * * * * [regimes]: Trying to branch on x from (# # #) 2.601 * * * [regime]: Found split indices: #