5.627 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ y x)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.041 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.073 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.076 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.082 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.101 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.150 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.151 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.151 * * * [progress]: adding candidates to table 0.211 * * [progress]: iteration 2 / 4 0.211 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.251 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.251 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.265 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.267 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.267 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.284 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.284 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.284 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.284 * [taylor]: Taking taylor expansion of (+ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.284 * [taylor]: Taking taylor expansion of (+ x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.285 * [taylor]: Taking taylor expansion of (+ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of 1 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.291 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [taylor]: Taking taylor expansion of 0 in x 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.301 * [taylor]: Taking taylor expansion of 0 in x 0.301 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.310 * * [simplify]: iteration 0 : 354 enodes (cost 814 ) 0.317 * * [simplify]: iteration 1 : 1566 enodes (cost 715 ) 0.340 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.344 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (/ 1 (pow (/ (+ y x) x) 3)) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (fma x (- x y) (* y y))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.345 * * * [progress]: adding candidates to table 0.485 * * [progress]: iteration 3 / 4 0.485 * * * [progress]: picking best candidate 0.488 * * * * [pick]: Picked # 0.488 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.501 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.507 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.550 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.567 * * * [progress]: generating series expansions 0.567 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.567 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.567 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.567 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (+ x y) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.568 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (+ x y) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.569 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (+ x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.570 * [taylor]: Taking taylor expansion of +nan.0 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of +nan.0 in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.575 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.575 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.576 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of 1 in y 0.584 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.584 * [taylor]: Taking taylor expansion of -1/2 in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of 3/8 in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.594 * [taylor]: Taking taylor expansion of -5/16 in y 0.594 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.599 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.599 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.600 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1 in y 0.613 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.613 * [taylor]: Taking taylor expansion of -1/2 in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of 3/8 in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.623 * [taylor]: Taking taylor expansion of -5/16 in y 0.623 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.628 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.628 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.628 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (+ x y) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.629 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (+ x y) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.630 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (+ x y) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.631 * [taylor]: Taking taylor expansion of +nan.0 in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of +nan.0 in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.636 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.636 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.645 * [taylor]: Taking taylor expansion of -1/2 in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of 3/8 in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.654 * [taylor]: Taking taylor expansion of -5/16 in y 0.654 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.660 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.660 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.661 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.665 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of 1 in y 0.669 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.669 * [taylor]: Taking taylor expansion of -1/2 in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of 3/8 in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.679 * [taylor]: Taking taylor expansion of -5/16 in y 0.679 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.684 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.684 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.684 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.684 * [taylor]: Taking taylor expansion of x in y 0.684 * [taylor]: Taking taylor expansion of (+ x y) in y 0.684 * [taylor]: Taking taylor expansion of x in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (+ x y) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.685 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (+ x y) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of y in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.689 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.699 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.699 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.702 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of 1 in y 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.713 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.713 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.713 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.713 * [taylor]: Taking taylor expansion of x in y 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of 1 in y 0.719 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.727 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.727 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (+ x y) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ x y) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ x y) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.732 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.739 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.739 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 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 0.741 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 1 in y 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.752 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.752 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.752 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.753 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.755 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of 1 in y 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.766 * * * [progress]: simplifying candidates 0.769 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x)))) (sqrt (/ (cbrt x) (sqrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ y x))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ y x))) (sqrt (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ (sqrt x) (cbrt (+ y x)))) (sqrt (/ (sqrt x) (sqrt (+ y x)))) (sqrt (/ (sqrt x) (sqrt (+ y x)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ y x))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ y x))) (sqrt (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ x (cbrt (+ y x)))) (sqrt (/ 1 (sqrt (+ y x)))) (sqrt (/ x (sqrt (+ y x)))) (sqrt (/ 1 1)) (sqrt (/ x (+ y x))) (sqrt (/ 1 1)) (sqrt (/ x (+ y x))) (sqrt 1) (sqrt (/ x (+ y x))) (sqrt x) (sqrt (/ 1 (+ y x))) (sqrt (/ x (+ (pow y 3) (pow x 3)))) (sqrt (+ (* y y) (- (* x x) (* y x)))) (sqrt (/ x (- (* y y) (* x x)))) (sqrt (- y x)) (sqrt x) (sqrt (+ y x)) (/ 1 2) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x)))) (sqrt (/ (cbrt x) (sqrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ y x))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ y x))) (sqrt (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ (sqrt x) (cbrt (+ y x)))) (sqrt (/ (sqrt x) (sqrt (+ y x)))) (sqrt (/ (sqrt x) (sqrt (+ y x)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ y x))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ y x))) (sqrt (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ x (cbrt (+ y x)))) (sqrt (/ 1 (sqrt (+ y x)))) (sqrt (/ x (sqrt (+ y x)))) (sqrt (/ 1 1)) (sqrt (/ x (+ y x))) (sqrt (/ 1 1)) (sqrt (/ x (+ y x))) (sqrt 1) (sqrt (/ x (+ y x))) (sqrt x) (sqrt (/ 1 (+ y x))) (sqrt (/ x (+ (pow y 3) (pow x 3)))) (sqrt (+ (* y y) (- (* x x) (* y x)))) (sqrt (/ x (- (* y y) (* x x)))) (sqrt (- y x)) (sqrt x) (sqrt (+ y x)) (/ 1 2) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (expm1 (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (log1p (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ x (+ y x)) (/ x (+ y x))) (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (* (/ x (+ y x)) (/ x (+ y x))) (+ 1 1) (+ (log (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x))))) (log (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (exp (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (* (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x))))) (* (cbrt (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (cbrt 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(/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 0.780 * * [simplify]: iteration 0 : 303 enodes (cost 1248 ) 0.787 * * [simplify]: iteration 1 : 1459 enodes (cost 1158 ) 0.819 * * [simplify]: iteration 2 : 5002 enodes (cost 1139 ) 0.825 * [simplify]: Simplified 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table 1.222 * * [progress]: iteration 4 / 4 1.222 * * * [progress]: picking best candidate 1.224 * * * * [pick]: Picked # 1.224 * * * [progress]: localizing error 1.234 * * * [progress]: generating rewritten candidates 1.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.240 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.348 * * * [progress]: generating series expansions 1.348 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.349 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.349 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.349 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.349 * [taylor]: Taking taylor expansion of x in y 1.349 * [taylor]: Taking taylor expansion of (+ x y) in y 1.349 * [taylor]: Taking taylor expansion of x in y 1.349 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.350 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (+ x y) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.351 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.351 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (+ x y) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.352 * [taylor]: Taking taylor expansion of 0 in y 1.352 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.352 * [taylor]: Taking taylor expansion of +nan.0 in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.354 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of +nan.0 in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.357 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.357 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.357 * [taylor]: Taking taylor expansion of x in y 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.357 * [taylor]: Taking taylor expansion of y in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.357 * [taylor]: Taking taylor expansion of x in y 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.358 * [taylor]: Taking taylor expansion of y in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.362 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.362 * [taylor]: Taking taylor expansion of y in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of 1 in y 1.365 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.366 * [taylor]: Taking taylor expansion of -1/2 in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.369 * [taylor]: Taking taylor expansion of 3/8 in y 1.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.375 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.375 * [taylor]: Taking taylor expansion of -5/16 in y 1.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.380 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.380 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.380 * [taylor]: Taking taylor expansion of x in y 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.381 * [taylor]: Taking taylor expansion of x in y 1.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.382 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.382 * [taylor]: Taking taylor expansion of y in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.385 * [taylor]: Taking taylor expansion of y in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of 1 in y 1.389 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.389 * [taylor]: Taking taylor expansion of -1/2 in y 1.389 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.393 * [taylor]: Taking taylor expansion of 3/8 in y 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.399 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.399 * [taylor]: Taking taylor expansion of -5/16 in y 1.399 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.404 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.404 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.404 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.404 * [taylor]: Taking taylor expansion of (+ x y) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.404 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.410 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (+ x y) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.411 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.411 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (+ x y) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.412 * [taylor]: Taking taylor expansion of 0 in y 1.412 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.412 * [taylor]: Taking taylor expansion of +nan.0 in y 1.412 * [taylor]: Taking taylor expansion of y in y 1.414 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of +nan.0 in y 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.417 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.417 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.417 * [taylor]: Taking taylor expansion of x in y 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.417 * [taylor]: Taking taylor expansion of x in y 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.418 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.422 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of 1 in y 1.426 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.426 * [taylor]: Taking taylor expansion of -1/2 in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.429 * [taylor]: Taking taylor expansion of 3/8 in y 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.435 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.435 * [taylor]: Taking taylor expansion of -5/16 in y 1.435 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.435 * [taylor]: Taking taylor expansion of y in y 1.441 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.441 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.442 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.446 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of 1 in y 1.450 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.450 * [taylor]: Taking taylor expansion of -1/2 in y 1.450 * [taylor]: Taking taylor expansion of y in y 1.453 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.453 * [taylor]: Taking taylor expansion of 3/8 in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.459 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.459 * [taylor]: Taking taylor expansion of -5/16 in y 1.459 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.465 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.465 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.465 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.465 * [taylor]: Taking taylor expansion of x in y 1.465 * [taylor]: Taking taylor expansion of (+ x y) in y 1.465 * [taylor]: Taking taylor expansion of x in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.466 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.466 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (+ x y) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of y in x 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.467 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (+ x y) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of 0 in y 1.468 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.468 * [taylor]: Taking taylor expansion of +nan.0 in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.470 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.470 * [taylor]: Taking taylor expansion of +nan.0 in y 1.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.470 * [taylor]: Taking taylor expansion of y in y 1.473 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.473 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.474 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.474 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.478 * [taylor]: Taking taylor expansion of y in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of 1 in y 1.482 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.482 * [taylor]: Taking taylor expansion of -1/2 in y 1.482 * [taylor]: Taking taylor expansion of y in y 1.485 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.486 * [taylor]: Taking taylor expansion of 3/8 in y 1.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.486 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.492 * [taylor]: Taking taylor expansion of -5/16 in y 1.492 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.500 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.500 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.501 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.509 * [taylor]: Taking taylor expansion of -1/2 in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.512 * [taylor]: Taking taylor expansion of 3/8 in y 1.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.518 * [taylor]: Taking taylor expansion of -5/16 in y 1.518 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.523 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.524 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.524 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.524 * [taylor]: Taking taylor expansion of x in y 1.524 * [taylor]: Taking taylor expansion of (+ x y) in y 1.524 * [taylor]: Taking taylor expansion of x in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (+ x y) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (+ x y) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.529 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.535 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.536 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.536 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.536 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.538 * [taylor]: Taking taylor expansion of y in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of 1 in y 1.541 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.549 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.549 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.549 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.549 * [taylor]: Taking taylor expansion of x in y 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 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