4.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.012 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.013 * * [simplify]: iteration done : 5 enodes (cost 5 ) 0.013 * [simplify]: Simplified to: (/ x (+ y x)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.053 * [taylor]: Taking taylor expansion of 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 0.053 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.066 * * * [progress]: simplifying candidates 0.067 * [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 0.069 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.080 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.105 * * [simplify]: iteration 2 : 259 enodes (cost 299 ) 0.158 * * [simplify]: iteration 3 : 542 enodes (cost 299 ) 0.319 * * [simplify]: iteration 4 : 1299 enodes (cost 299 ) 1.596 * * [simplify]: iteration 5 : 4922 enodes (cost 299 ) 3.184 * * [simplify]: iteration done : 5000 enodes (cost 299 ) 3.184 * [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 3.184 * * * [progress]: adding candidates to table 3.243 * * [progress]: iteration 2 / 4 3.243 * * * [progress]: picking best candidate 3.246 * * * * [pick]: Picked # 3.246 * * * [progress]: localizing error 3.251 * * * [progress]: generating rewritten candidates 3.251 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.259 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.272 * * * [progress]: generating series expansions 3.272 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.272 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 3.272 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.272 * [taylor]: Taking taylor expansion of x in x 3.272 * [taylor]: Taking taylor expansion of (+ x y) in x 3.272 * [taylor]: Taking taylor expansion of x in x 3.272 * [taylor]: Taking taylor expansion of y in x 3.272 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of (+ x y) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of (+ x y) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of 1 in x 3.273 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.279 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 3.279 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.280 * [taylor]: Taking taylor expansion of y in x 3.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.280 * [taylor]: Taking taylor expansion of x in x 3.280 * [taylor]: Taking taylor expansion of x in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.281 * [taylor]: Taking taylor expansion of y in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.282 * [taylor]: Taking taylor expansion of y in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.288 * [taylor]: Taking taylor expansion of x in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.292 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.299 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 3.299 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 3.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.299 * [taylor]: Taking taylor expansion of y in x 3.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.301 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.301 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.302 * [taylor]: Taking taylor expansion of x in y 3.302 * [taylor]: Taking taylor expansion of x in y 3.302 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 3.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.302 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.302 * [taylor]: Taking taylor expansion of x in y 3.302 * [taylor]: Taking taylor expansion of x in y 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.309 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.309 * [taylor]: Taking taylor expansion of x in x 3.315 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.315 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 3.315 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 3.315 * [taylor]: Taking taylor expansion of (+ x y) in x 3.315 * [taylor]: Taking taylor expansion of x in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.315 * [taylor]: Taking taylor expansion of x in x 3.315 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 3.315 * [taylor]: Taking taylor expansion of (+ x y) in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [taylor]: Taking taylor expansion of y in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 3.316 * [taylor]: Taking taylor expansion of (+ x y) in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [taylor]: Taking taylor expansion of y in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [taylor]: Taking taylor expansion of 1 in x 3.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.317 * [taylor]: Taking taylor expansion of 0 in x 3.318 * [taylor]: Taking taylor expansion of 0 in x 3.319 * [taylor]: Taking taylor expansion of 0 in x 3.319 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 3.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.319 * [taylor]: Taking taylor expansion of y in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.319 * [taylor]: Taking taylor expansion of y in y 3.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.320 * [taylor]: Taking taylor expansion of x in y 3.320 * [taylor]: Taking taylor expansion of x in y 3.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.320 * [taylor]: Taking taylor expansion of y in y 3.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.320 * [taylor]: Taking taylor expansion of x in y 3.320 * [taylor]: Taking taylor expansion of x in y 3.321 * [taylor]: Taking taylor expansion of x in x 3.321 * [taylor]: Taking taylor expansion of 1 in x 3.323 * [taylor]: Taking taylor expansion of 0 in x 3.324 * [taylor]: Taking taylor expansion of 0 in x 3.326 * [taylor]: Taking taylor expansion of 0 in x 3.326 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 3.326 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 3.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.326 * [taylor]: Taking taylor expansion of y in x 3.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.327 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.327 * [taylor]: Taking taylor expansion of y in y 3.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.327 * [taylor]: Taking taylor expansion of x in y 3.327 * [taylor]: Taking taylor expansion of x in y 3.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.327 * [taylor]: Taking taylor expansion of y in y 3.328 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.328 * [taylor]: Taking taylor expansion of x in y 3.328 * [taylor]: Taking taylor expansion of x in y 3.328 * [taylor]: Taking taylor expansion of x in x 3.329 * [taylor]: Taking taylor expansion of 1 in x 3.330 * [taylor]: Taking taylor expansion of 0 in x 3.331 * [taylor]: Taking taylor expansion of 0 in x 3.333 * [taylor]: Taking taylor expansion of 0 in x 3.333 * * * [progress]: simplifying candidates 3.335 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 3.340 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 3.399 * * [simplify]: iteration 1 : 356 enodes (cost 1374 ) 3.448 * * [simplify]: iteration 2 : 666 enodes (cost 1203 ) 3.684 * * [simplify]: iteration 3 : 1406 enodes (cost 1179 ) 4.394 * * [simplify]: iteration 4 : 2691 enodes (cost 1179 ) 5.643 * * [simplify]: iteration done : 5001 enodes (cost 1179 ) 5.643 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ y x))) (sqrt (/ 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)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) 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)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) 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)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) 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 (+ x y)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ x y)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt x) (cbrt (+ y x)))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (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))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (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)) (* (fma y y (* x (- x y))) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 5.644 * * * [progress]: adding candidates to table 5.788 * * [progress]: iteration 3 / 4 5.788 * * * [progress]: picking best candidate 5.790 * * * * [pick]: Picked # 5.790 * * * [progress]: localizing error 5.795 * * * [progress]: generating rewritten candidates 5.795 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.802 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.808 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.862 * * * [progress]: generating series expansions 5.862 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.862 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 5.862 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 5.862 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 5.862 * [taylor]: Taking taylor expansion of x in y 5.862 * [taylor]: Taking taylor expansion of (+ x y) in y 5.862 * [taylor]: Taking taylor expansion of x in y 5.862 * [taylor]: Taking taylor expansion of y in y 5.863 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 5.863 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [taylor]: Taking taylor expansion of (+ x y) in x 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [taylor]: Taking taylor expansion of y in x 5.864 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 5.864 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.864 * [taylor]: Taking taylor expansion of x in x 5.864 * [taylor]: Taking taylor expansion of (+ x y) in x 5.864 * [taylor]: Taking taylor expansion of x in x 5.864 * [taylor]: Taking taylor expansion of y in x 5.865 * [taylor]: Taking taylor expansion of 0 in y 5.865 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 5.865 * [taylor]: Taking taylor expansion of +nan.0 in y 5.865 * [taylor]: Taking taylor expansion of y in y 5.867 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 5.867 * [taylor]: Taking taylor expansion of +nan.0 in y 5.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.867 * [taylor]: Taking taylor expansion of y in y 5.870 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 5.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 5.870 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 5.870 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 5.870 * [taylor]: Taking taylor expansion of x in y 5.870 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.870 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.870 * [taylor]: Taking taylor expansion of y in y 5.871 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.871 * [taylor]: Taking taylor expansion of x in y 5.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.872 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.872 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.872 * [taylor]: Taking taylor expansion of x in x 5.872 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.872 * [taylor]: Taking taylor expansion of y in x 5.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.872 * [taylor]: Taking taylor expansion of x in x 5.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.875 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.875 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.875 * [taylor]: Taking taylor expansion of x in x 5.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.875 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.875 * [taylor]: Taking taylor expansion of y in x 5.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.876 * [taylor]: Taking taylor expansion of x in x 5.879 * [taylor]: Taking taylor expansion of 1 in y 5.879 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.879 * [taylor]: Taking taylor expansion of -1/2 in y 5.879 * [taylor]: Taking taylor expansion of y in y 5.883 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 5.883 * [taylor]: Taking taylor expansion of 3/8 in y 5.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.883 * [taylor]: Taking taylor expansion of y in y 5.889 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 5.889 * [taylor]: Taking taylor expansion of -5/16 in y 5.889 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.889 * [taylor]: Taking taylor expansion of y in y 5.894 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 5.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 5.894 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 5.894 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 5.894 * [taylor]: Taking taylor expansion of x in y 5.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.894 * [taylor]: Taking taylor expansion of y in y 5.895 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.895 * [taylor]: Taking taylor expansion of x in y 5.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.896 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.896 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.896 * [taylor]: Taking taylor expansion of x in x 5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.896 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.896 * [taylor]: Taking taylor expansion of y in x 5.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.896 * [taylor]: Taking taylor expansion of x in x 5.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.900 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.900 * [taylor]: Taking taylor expansion of x in x 5.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.900 * [taylor]: Taking taylor expansion of y in x 5.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.900 * [taylor]: Taking taylor expansion of x in x 5.908 * [taylor]: Taking taylor expansion of 1 in y 5.908 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.908 * [taylor]: Taking taylor expansion of -1/2 in y 5.908 * [taylor]: Taking taylor expansion of y in y 5.912 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 5.912 * [taylor]: Taking taylor expansion of 3/8 in y 5.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.912 * [taylor]: Taking taylor expansion of y in y 5.918 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 5.918 * [taylor]: Taking taylor expansion of -5/16 in y 5.918 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.918 * [taylor]: Taking taylor expansion of y in y 5.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.923 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 5.923 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 5.923 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 5.923 * [taylor]: Taking taylor expansion of x in y 5.923 * [taylor]: Taking taylor expansion of (+ x y) in y 5.923 * [taylor]: Taking taylor expansion of x in y 5.923 * [taylor]: Taking taylor expansion of y in y 5.924 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 5.924 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [taylor]: Taking taylor expansion of (+ x y) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [taylor]: Taking taylor expansion of y in x 5.925 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 5.925 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.925 * [taylor]: Taking taylor expansion of x in x 5.925 * [taylor]: Taking taylor expansion of (+ x y) in x 5.925 * [taylor]: Taking taylor expansion of x in x 5.925 * [taylor]: Taking taylor expansion of y in x 5.926 * [taylor]: Taking taylor expansion of 0 in y 5.926 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 5.926 * [taylor]: Taking taylor expansion of +nan.0 in y 5.926 * [taylor]: Taking taylor expansion of y in y 5.928 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 5.928 * [taylor]: Taking taylor expansion of +nan.0 in y 5.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.928 * [taylor]: Taking taylor expansion of y in y 5.931 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 5.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 5.931 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 5.931 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 5.931 * [taylor]: Taking taylor expansion of x in y 5.931 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.931 * [taylor]: Taking taylor expansion of y in y 5.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.931 * [taylor]: Taking taylor expansion of x in y 5.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.932 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.932 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.932 * [taylor]: Taking taylor expansion of x in x 5.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.932 * [taylor]: Taking taylor expansion of y in x 5.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.932 * [taylor]: Taking taylor expansion of x in x 5.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.936 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.936 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.936 * [taylor]: Taking taylor expansion of x in x 5.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.936 * [taylor]: Taking taylor expansion of y in x 5.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.936 * [taylor]: Taking taylor expansion of x in x 5.940 * [taylor]: Taking taylor expansion of 1 in y 5.940 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.940 * [taylor]: Taking taylor expansion of -1/2 in y 5.940 * [taylor]: Taking taylor expansion of y in y 5.943 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 5.943 * [taylor]: Taking taylor expansion of 3/8 in y 5.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.943 * [taylor]: Taking taylor expansion of y in y 5.950 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 5.950 * [taylor]: Taking taylor expansion of -5/16 in y 5.950 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.950 * [taylor]: Taking taylor expansion of y in y 5.956 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 5.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 5.956 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 5.956 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 5.956 * [taylor]: Taking taylor expansion of x in y 5.956 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.956 * [taylor]: Taking taylor expansion of y in y 5.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.956 * [taylor]: Taking taylor expansion of x in y 5.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.957 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.957 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.957 * [taylor]: Taking taylor expansion of x in x 5.957 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.957 * [taylor]: Taking taylor expansion of y in x 5.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.957 * [taylor]: Taking taylor expansion of x in x 5.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 5.961 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.961 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.961 * [taylor]: Taking taylor expansion of x in x 5.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.961 * [taylor]: Taking taylor expansion of y in x 5.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.961 * [taylor]: Taking taylor expansion of x in x 5.965 * [taylor]: Taking taylor expansion of 1 in y 5.965 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.965 * [taylor]: Taking taylor expansion of -1/2 in y 5.965 * [taylor]: Taking taylor expansion of y in y 5.968 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 5.968 * [taylor]: Taking taylor expansion of 3/8 in y 5.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.969 * [taylor]: Taking taylor expansion of y in y 5.975 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 5.975 * [taylor]: Taking taylor expansion of -5/16 in y 5.975 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.975 * [taylor]: Taking taylor expansion of y in y 5.980 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.980 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 5.980 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 5.980 * [taylor]: Taking taylor expansion of x in y 5.980 * [taylor]: Taking taylor expansion of (+ x y) in y 5.980 * [taylor]: Taking taylor expansion of x in y 5.980 * [taylor]: Taking taylor expansion of y in y 5.980 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [taylor]: Taking taylor expansion of (+ x y) in x 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [taylor]: Taking taylor expansion of y in x 5.980 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [taylor]: Taking taylor expansion of (+ x y) in x 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [taylor]: Taking taylor expansion of y in x 5.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.980 * [taylor]: Taking taylor expansion of y in y 5.982 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.982 * [taylor]: Taking taylor expansion of y in y 5.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 5.985 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.985 * [taylor]: Taking taylor expansion of y in y 5.995 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 5.995 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 5.995 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 5.995 * [taylor]: Taking taylor expansion of x in y 5.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.995 * [taylor]: Taking taylor expansion of y in y 5.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.995 * [taylor]: Taking taylor expansion of x in y 5.996 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.996 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.996 * [taylor]: Taking taylor expansion of x in x 5.996 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.996 * [taylor]: Taking taylor expansion of y in x 5.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.996 * [taylor]: Taking taylor expansion of x in x 5.998 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 5.998 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 5.998 * [taylor]: Taking taylor expansion of x in x 5.998 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.998 * [taylor]: Taking taylor expansion of y in x 5.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.998 * [taylor]: Taking taylor expansion of x in x 6.000 * [taylor]: Taking taylor expansion of 1 in y 6.001 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.001 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.001 * [taylor]: Taking taylor expansion of y in y 6.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.005 * [taylor]: Taking taylor expansion of y in y 6.010 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.010 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.010 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.010 * [taylor]: Taking taylor expansion of x in y 6.010 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.010 * [taylor]: Taking taylor expansion of y in y 6.010 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.010 * [taylor]: Taking taylor expansion of x in y 6.011 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.011 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.011 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.011 * [taylor]: Taking taylor expansion of y in x 6.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.013 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.013 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.013 * [taylor]: Taking taylor expansion of y in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.015 * [taylor]: Taking taylor expansion of 1 in y 6.016 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.016 * [taylor]: Taking taylor expansion of y in y 6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.020 * [taylor]: Taking taylor expansion of y in y 6.024 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.024 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 6.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.024 * [taylor]: Taking taylor expansion of x in y 6.024 * [taylor]: Taking taylor expansion of (+ x y) in y 6.024 * [taylor]: Taking taylor expansion of x in y 6.024 * [taylor]: Taking taylor expansion of y in y 6.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [taylor]: Taking taylor expansion of (+ x y) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [taylor]: Taking taylor expansion of (+ x y) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.024 * [taylor]: Taking taylor expansion of y in y 6.025 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.025 * [taylor]: Taking taylor expansion of y in y 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 6.029 * [taylor]: Taking taylor expansion of (pow y 3) in y 6.029 * [taylor]: Taking taylor expansion of y in y 6.035 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.036 * [taylor]: Taking taylor expansion of x in y 6.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.036 * [taylor]: Taking taylor expansion of y in y 6.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.036 * [taylor]: Taking taylor expansion of x in y 6.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.036 * [taylor]: Taking taylor expansion of y in x 6.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.038 * [taylor]: Taking taylor expansion of y in x 6.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.040 * [taylor]: Taking taylor expansion of 1 in y 6.042 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.042 * [taylor]: Taking taylor expansion of y in y 6.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.045 * [taylor]: Taking taylor expansion of y in y 6.049 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 6.049 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 6.049 * [taylor]: Taking taylor expansion of x in y 6.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.049 * [taylor]: Taking taylor expansion of y in y 6.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.050 * [taylor]: Taking taylor expansion of x in y 6.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.050 * [taylor]: Taking taylor expansion of x in x 6.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.050 * [taylor]: Taking taylor expansion of y in x 6.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.050 * [taylor]: Taking taylor expansion of x in x 6.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 6.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 6.052 * [taylor]: Taking taylor expansion of x in x 6.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.052 * [taylor]: Taking taylor expansion of y in x 6.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.052 * [taylor]: Taking taylor expansion of x in x 6.054 * [taylor]: Taking taylor expansion of 1 in y 6.055 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 6.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.056 * [taylor]: Taking taylor expansion of y in y 6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.059 * [taylor]: Taking taylor expansion of y in y 6.064 * * * [progress]: simplifying candidates 6.067 * [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))))) (* (* 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