11.804 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.018 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.021 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.041 * [taylor]: Taking taylor expansion of (+ x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (* x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* y x) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y 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 0.054 * [taylor]: Taking taylor expansion of (* y x) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y 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 0.054 * [taylor]: Taking taylor expansion of (* y x) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.074 * [taylor]: Taking taylor expansion of -0.5 in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* y x) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.074 * [taylor]: Taking taylor expansion of -0.5 in x 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* y x) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.074 * [taylor]: Taking taylor expansion of -0.5 in x 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.077 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.097 * * [simplify]: iteration 0 : 220 enodes (cost 188 ) 0.101 * * [simplify]: iteration 1 : 940 enodes (cost 152 ) 0.121 * * [simplify]: iteration 2 : 5001 enodes (cost 152 ) 0.122 * [simplify]: Simplified to: (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (+ (* y (- y x)) (* x x)) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0.122 * * * [progress]: adding candidates to table 0.166 * * [progress]: iteration 2 / 4 0.166 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.230 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.246 * [approximate]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in y 0.247 * [taylor]: Taking taylor expansion of 0.5 in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in y 0.247 * [taylor]: Taking taylor expansion of 0.5 in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 0 in x 0.253 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [approximate]: Taking taylor expansion of (* 0.5 (+ x y)) in (y x) around 0 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of (+ x y) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.256 * [taylor]: Taking taylor expansion of (+ x y) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.256 * [taylor]: Taking taylor expansion of (+ x y) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [approximate]: Taking taylor expansion of (* -0.5 (+ x y)) in (y x) around 0 0.261 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in x 0.261 * [taylor]: Taking taylor expansion of -0.5 in x 0.261 * [taylor]: Taking taylor expansion of (+ x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in y 0.261 * [taylor]: Taking taylor expansion of -0.5 in y 0.261 * [taylor]: Taking taylor expansion of (+ x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in y 0.261 * [taylor]: Taking taylor expansion of -0.5 in y 0.261 * [taylor]: Taking taylor expansion of (+ x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.261 * [taylor]: Taking taylor expansion of -0.5 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.268 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [approximate]: Taking taylor expansion of (+ x y) in (y x) around 0 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [approximate]: Taking taylor expansion of (- (+ x y)) in (y x) around 0 0.278 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.278 * [taylor]: Taking taylor expansion of (+ x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.279 * [taylor]: Taking taylor expansion of (+ x y) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.279 * [taylor]: Taking taylor expansion of (+ x y) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.281 * * * [progress]: simplifying candidates 0.282 * [simplify]: Simplifying using # : (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (log 0.5) (log (+ (/ 1 y) (/ 1 x)))) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (exp (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (* (* 0.5 0.5) 0.5) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x)))) (* (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x))))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (* (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)) (* (/ 1 y) 0.5) (* (/ 1 x) 0.5) (* 0.5 (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x))))) (* 0.5 (sqrt (+ (/ 1 y) (/ 1 x)))) (* 0.5 1) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.5 (/ (sqrt 1) 1)) (* 0.5 (/ 1 1)) (* 0.5 1) (* 0.5 1) (* 0.5 1) (* 0.5 1) (* (cbrt 0.5) (+ (/ 1 y) (/ 1 x))) (* (sqrt 0.5) (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (* 1 x) (* y 1))) (* 0.5 (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3))) (* 0.5 (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (* (exp (/ 1 y)) (exp (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ (* 1 x) (* y 1)) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 y) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (- (/ 1 y) (/ 1 x)) (+ (/ (cbrt 1) y) (/ (cbrt 1) x)) (+ (/ (sqrt 1) y) (/ (sqrt 1) x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.287 * * [simplify]: iteration 0 : 207 enodes (cost 251 ) 0.291 * * [simplify]: iteration 1 : 947 enodes (cost 216 ) 0.311 * * [simplify]: iteration 2 : 4329 enodes (cost 211 ) 0.357 * * [simplify]: iteration 3 : 5001 enodes (cost 209 ) 0.359 * [simplify]: Simplified to: (+ (/ 0.5 x) (/ 0.5 y)) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (exp (* 0.5 (+ (/ 1 y) (/ 1 x)))) (pow (+ (/ 0.5 x) (/ 0.5 y)) 3) (* (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x))))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (pow (+ (/ 0.5 x) (/ 0.5 y)) 3) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (/ 0.5 y) (/ 0.5 x) (/ 0.5 y) (/ 0.5 x) (* 0.5 (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x))))) (* 0.5 (sqrt (+ (/ 1 y) (/ 1 x)))) 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 (* (cbrt 0.5) (+ (/ 1 y) (/ 1 x))) (* (sqrt 0.5) (+ (/ 1 y) (/ 1 x))) (+ (/ 0.5 x) (/ 0.5 y)) (* (+ y x) 0.5) (* 0.5 (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3))) (- (/ (/ 0.5 y) y) (/ (/ 0.5 x) x)) (exp (+ (/ 1 y) (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (pow (+ (/ 1 y) (/ 1 x)) 3) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ y x) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (/ (/ 1 x) x) (- (/ (/ 1 y) y) (/ (/ 1 y) x))) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.359 * * * [progress]: adding candidates to table 0.436 * * [progress]: iteration 3 / 4 0.436 * * * [progress]: picking best candidate 0.438 * * * * [pick]: Picked # 0.438 * * * [progress]: localizing error 0.444 * * * [progress]: generating rewritten candidates 0.444 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.457 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.468 * * * [progress]: generating series expansions 0.468 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.468 * [taylor]: Taking taylor expansion of 0.5 in y 0.468 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.468 * [taylor]: Taking taylor expansion of (+ x y) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (* x y) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.469 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.469 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in y 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of 0.5 in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.480 * [taylor]: Taking taylor expansion of 0.5 in y 0.480 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (* y x) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.481 * [taylor]: Taking taylor expansion of 0.5 in x 0.481 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* y x) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.481 * [taylor]: Taking taylor expansion of 0.5 in x 0.481 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* y x) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.483 * [taylor]: Taking taylor expansion of 0.5 in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 0.5 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.497 * [taylor]: Taking taylor expansion of -0.5 in y 0.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* y x) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.498 * [taylor]: Taking taylor expansion of -0.5 in x 0.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* y x) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.498 * [taylor]: Taking taylor expansion of -0.5 in x 0.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* y x) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.500 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.500 * [taylor]: Taking taylor expansion of 0.5 in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.503 * [taylor]: Taking taylor expansion of 0.5 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.516 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.516 * [taylor]: Taking taylor expansion of 0.5 in y 0.516 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.516 * [taylor]: Taking taylor expansion of (+ x y) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.516 * [taylor]: Taking taylor expansion of (+ x y) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.517 * [taylor]: Taking taylor expansion of 0.5 in x 0.517 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.517 * [taylor]: Taking taylor expansion of (+ x y) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.517 * [taylor]: Taking taylor expansion of 0.5 in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 0.5 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.524 * [taylor]: Taking taylor expansion of 0.5 in y 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.524 * [taylor]: Taking taylor expansion of 0.5 in x 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.524 * [taylor]: Taking taylor expansion of 0.5 in x 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0.5 in y 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of 0.5 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.540 * [taylor]: Taking taylor expansion of 0.5 in y 0.540 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of 0.5 in y 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.546 * [taylor]: Taking taylor expansion of 0.5 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * * * [progress]: simplifying candidates 0.555 * [simplify]: Simplifying using # : (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.560 * * [simplify]: iteration 0 : 337 enodes (cost 543 ) 0.566 * * [simplify]: iteration 1 : 1330 enodes (cost 485 ) 0.590 * * [simplify]: iteration 2 : 5001 enodes (cost 485 ) 0.592 * [simplify]: Simplified to: (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (+ (* y (- y x)) (* x x)) (* x 2.0)) (* (* x 2.0) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.593 * * * [progress]: adding candidates to table 0.722 * * [progress]: iteration 4 / 4 0.722 * * * [progress]: picking best candidate 0.723 * * * * [pick]: Picked # 0.723 * * * [progress]: localizing error 0.730 * * * [progress]: generating rewritten candidates 0.730 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.753 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.762 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.782 * * * [progress]: generating series expansions 0.782 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.782 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.782 * [taylor]: Taking taylor expansion of 0.5 in y 0.782 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.782 * [taylor]: Taking taylor expansion of (+ x y) in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of (* x y) in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.783 * [taylor]: Taking taylor expansion of 0.5 in x 0.783 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.783 * [taylor]: Taking taylor expansion of (+ x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (* x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.784 * [taylor]: Taking taylor expansion of 0.5 in x 0.784 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.784 * [taylor]: Taking taylor expansion of (+ x y) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (* x y) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of 0.5 in y 0.786 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.786 * [taylor]: Taking taylor expansion of 0.5 in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.795 * [taylor]: Taking taylor expansion of 0.5 in y 0.795 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.795 * [taylor]: Taking taylor expansion of 0.5 in x 0.795 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.796 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.798 * [taylor]: Taking taylor expansion of 0.5 in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0.5 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.818 * [taylor]: Taking taylor expansion of -0.5 in y 0.818 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.819 * [taylor]: Taking taylor expansion of -0.5 in x 0.819 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.819 * [taylor]: Taking taylor expansion of -0.5 in x 0.819 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.822 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.822 * [taylor]: Taking taylor expansion of 0.5 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.824 * [taylor]: Taking taylor expansion of 0.5 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.839 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.839 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.839 * [taylor]: Taking taylor expansion of 0.5 in y 0.839 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.839 * [taylor]: Taking taylor expansion of (+ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.839 * [taylor]: Taking taylor expansion of 0.5 in x 0.839 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.839 * [taylor]: Taking taylor expansion of (+ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.839 * [taylor]: Taking taylor expansion of 0.5 in x 0.839 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.839 * [taylor]: Taking taylor expansion of (+ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.839 * [taylor]: Taking taylor expansion of 0.5 in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0.5 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.847 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.847 * [taylor]: Taking taylor expansion of 0.5 in y 0.847 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of 0.5 in x 0.847 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of 0.5 in x 0.847 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [taylor]: Taking taylor expansion of 0.5 in y 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.852 * [taylor]: Taking taylor expansion of 0.5 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.860 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.860 * [taylor]: Taking taylor expansion of 0.5 in y 0.860 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.861 * [taylor]: Taking taylor expansion of 0.5 in x 0.861 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.861 * [taylor]: Taking taylor expansion of 0.5 in x 0.861 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0.5 in y 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.866 * [taylor]: Taking taylor expansion of 0.5 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.873 * [approximate]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in (x y) around 0 0.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in y 0.873 * [taylor]: Taking taylor expansion of 2.0 in y 0.873 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (+ x y) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in x 0.874 * [taylor]: Taking taylor expansion of 2.0 in x 0.874 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (+ x y) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in x 0.874 * [taylor]: Taking taylor expansion of 2.0 in x 0.874 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (+ x y) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.874 * [taylor]: Taking taylor expansion of 2.0 in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.875 * [taylor]: Taking taylor expansion of 2.0 in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.880 * [taylor]: Taking taylor expansion of 2.0 in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.888 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.888 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.888 * [taylor]: Taking taylor expansion of 2.0 in y 0.888 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.889 * [taylor]: Taking taylor expansion of 2.0 in x 0.889 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.891 * [taylor]: Taking taylor expansion of 2.0 in x 0.891 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of 2.0 in y 0.897 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.897 * [taylor]: Taking taylor expansion of 2.0 in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.901 * [taylor]: Taking taylor expansion of 2.0 in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.907 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.907 * [taylor]: Taking taylor expansion of 2.0 in y 0.907 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.908 * [taylor]: Taking taylor expansion of 2.0 in x 0.908 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.909 * [taylor]: Taking taylor expansion of 2.0 in x 0.910 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 2.0 in y 0.913 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.913 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.913 * [taylor]: Taking taylor expansion of 2.0 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.917 * [taylor]: Taking taylor expansion of 2.0 in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.923 * * * [progress]: simplifying candidates 0.927 * [simplify]: Simplifying using # : (- (- (- (+ (log x) (log 2.0)) (log (+ x y)))) (log y)) (- (- (- (log (* x 2.0)) (log (+ x y)))) (log y)) (- (- (log (/ (* x 2.0) (+ x y)))) (log y)) (- (- 0 (- (+ (log x) (log 2.0)) (log (+ x y)))) (log y)) (- (- 0 (- (log (* x 2.0)) (log (+ x y)))) (log y)) (- (- 0 (log (/ (* x 2.0) (+ x y)))) (log y)) (- (- (log 1) (- (+ (log x) (log 2.0)) (log (+ x y)))) (log y)) (- (- (log 1) (- (log (* x 2.0)) (log (+ x y)))) (log y)) (- (- (log 1) (log (/ (* x 2.0) (+ x y)))) (log y)) (- (log (/ 1 (/ (* x 2.0) (+ x y)))) (log y)) (log (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (exp (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (/ (/ (* (* 1 1) 1) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* y y) y)) (/ (/ (* (* 1 1) 1) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* y y) y)) (/ (/ (* (* 1 1) 1) (* (* (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y))) (/ (* x 2.0) (+ x y)))) (* (* y y) y)) (/ (* (* (/ 1 (/ (* x 2.0) (+ x y))) (/ 1 (/ (* x 2.0) (+ x y)))) (/ 1 (/ (* x 2.0) (+ x y)))) (* (* y y) y)) (* (cbrt (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (cbrt (/ (/ 1 (/ (* x 2.0) (+ x y))) y))) (cbrt (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (* (* (/ (/ 1 (/ (* x 2.0) (+ x y))) y) (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (sqrt (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (sqrt (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (- (/ 1 (/ (* x 2.0) (+ x y)))) (- y) (/ (* (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) (cbrt (/ 1 (/ (* x 2.0) (+ x y))))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (* (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) (cbrt (/ 1 (/ (* x 2.0) (+ x y))))) (sqrt y)) (/ (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (* (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) (cbrt (/ 1 (/ (* x 2.0) (+ x y))))) 1) (/ (cbrt (/ 1 (/ (* x 2.0) (+ x y)))) y) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) 1) (/ (sqrt (/ 1 (/ (* x 2.0) (+ x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (cbrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (sqrt y)) (/ (/ (cbrt 1) (cbrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) 1) (/ (/ (cbrt 1) (cbrt (/ (* x 2.0) (+ x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* x 2.0) (+ x y)))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (cbrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* x 2.0) (+ x y)))) 1) (/ (/ (cbrt 1) (sqrt (/ (* x 2.0) (+ x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ 2.0 (cbrt (+ x y)))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt y)) (/ (/ (cbrt 1) (/ 2.0 (cbrt (+ x y)))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) 1) (/ (/ (cbrt 1) (/ 2.0 (cbrt (+ x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (sqrt (+ x y)))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ 2.0 (sqrt (+ x y)))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (sqrt (+ x y)))) (sqrt y)) (/ (/ (cbrt 1) (/ 2.0 (sqrt (+ x y)))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x (sqrt (+ x y)))) 1) (/ (/ (cbrt 1) (/ 2.0 (sqrt (+ x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) (sqrt y)) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) 1) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) (sqrt y)) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ x 1)) 1) (/ (/ (cbrt 1) (/ 2.0 (+ x y))) y) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ (* x 2.0) (+ x y))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt y)) (/ (/ (cbrt 1) (/ (* x 2.0) (+ x y))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) (/ (* x 2.0) (+ x y))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (/ 1 (+ x y))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* x 2.0)) (sqrt y)) (/ (/ (cbrt 1) (/ 1 (+ x y))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* x 2.0)) 1) (/ (/ (cbrt 1) (/ 1 (+ x y))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) (sqrt y)) (/ (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) 1) (/ (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) y) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (- (* x x) (* y y)))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (- x y)) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (- (* x x) (* y y)))) (sqrt y)) (/ (/ (cbrt 1) (- x y)) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (- (* x x) (* y y)))) 1) (/ (/ (cbrt 1) (- x y)) y) (/ (/ (sqrt 1) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (cbrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ (sqrt 1) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (sqrt y)) (/ (/ (sqrt 1) (cbrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) 1) (/ (/ (sqrt 1) (cbrt (/ (* x 2.0) (+ x y)))) y) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) 1) (/ (/ (sqrt 1) (sqrt (/ (* x 2.0) (+ x y)))) y) (/ (/ (sqrt 1) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ 2.0 (cbrt (+ x y)))) (cbrt y)) (/ (/ (sqrt 1) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt y)) (/ (/ (sqrt 1) (/ 2.0 (cbrt (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) 1) (/ (/ (sqrt 1) (/ 2.0 (cbrt (+ x y)))) y) (/ (/ (sqrt 1) (/ x (sqrt (+ x y)))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ 2.0 (sqrt (+ x y)))) (cbrt y)) (/ (/ (sqrt 1) (/ x (sqrt (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (/ 2.0 (sqrt (+ x y)))) (sqrt y)) (/ (/ (sqrt 1) (/ x (sqrt (+ x y)))) 1) (/ (/ (sqrt 1) (/ 2.0 (sqrt (+ x y)))) y) (/ (/ (sqrt 1) (/ x 1)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) (cbrt y)) (/ (/ (sqrt 1) (/ x 1)) (sqrt y)) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) (sqrt y)) (/ (/ (sqrt 1) (/ x 1)) 1) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) y) (/ (/ (sqrt 1) (/ x 1)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) (cbrt y)) (/ (/ (sqrt 1) (/ x 1)) (sqrt y)) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) (sqrt y)) (/ (/ (sqrt 1) (/ x 1)) 1) (/ (/ (sqrt 1) (/ 2.0 (+ x y))) y) (/ (/ (sqrt 1) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ (* x 2.0) (+ x y))) (cbrt y)) (/ (/ (sqrt 1) 1) (sqrt y)) (/ (/ (sqrt 1) (/ (* x 2.0) (+ x y))) (sqrt y)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) (/ (* x 2.0) (+ x y))) y) (/ (/ (sqrt 1) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (/ 1 (+ x y))) (cbrt y)) (/ (/ (sqrt 1) (* x 2.0)) (sqrt y)) (/ (/ (sqrt 1) (/ 1 (+ x y))) (sqrt y)) (/ (/ (sqrt 1) (* x 2.0)) 1) (/ (/ (sqrt 1) (/ 1 (+ x y))) y) (/ (/ (sqrt 1) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) (cbrt y)) (/ (/ (sqrt 1) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) (sqrt y)) (/ (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) (sqrt y)) (/ (/ (sqrt 1) (/ (* x 2.0) (+ (pow x 3) (pow y 3)))) 1) (/ (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) y) (/ (/ (sqrt 1) (/ (* x 2.0) (- (* x x) (* y y)))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (- x y)) (cbrt y)) (/ (/ (sqrt 1) (/ (* x 2.0) (- (* x x) (* y y)))) (sqrt y)) (/ (/ (sqrt 1) (- x y)) (sqrt y)) (/ (/ (sqrt 1) (/ (* x 2.0) (- (* x x) (* y y)))) 1) (/ (/ (sqrt 1) (- x y)) y) (/ (/ 1 (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ 1 (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) (sqrt y)) (/ (/ 1 (cbrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ 1 (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y))))) 1) (/ (/ 1 (cbrt (/ (* x 2.0) (+ x y)))) y) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) (cbrt y)) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) (sqrt y)) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) 1) (/ (/ 1 (sqrt (/ (* x 2.0) (+ x y)))) y) (/ (/ 1 (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (* 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