2.315 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.012 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.012 * * [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 0.014 * * * * [pick]: Picked # 0.014 * * * [progress]: localizing error 0.017 * * * [progress]: generating rewritten candidates 0.017 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.024 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.024 * [taylor]: Taking taylor expansion of x in y 0.024 * [taylor]: Taking taylor expansion of (+ x y) in y 0.024 * [taylor]: Taking taylor expansion of x in y 0.024 * [taylor]: Taking taylor expansion of y in y 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of (+ x y) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of y in x 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of (+ x y) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of y in x 0.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.024 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.036 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [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 0.043 * [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 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (- (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 0.068 * * [simplify]: iteration 0 : 59 enodes (cost 324 ) 0.078 * * [simplify]: iteration 1 : 119 enodes (cost 305 ) 0.096 * * [simplify]: iteration 2 : 246 enodes (cost 287 ) 0.143 * * [simplify]: iteration 3 : 510 enodes (cost 287 ) 0.293 * * [simplify]: iteration 4 : 1175 enodes (cost 287 ) 0.980 * * [simplify]: iteration 5 : 4361 enodes (cost 287 ) 2.452 * * [simplify]: iteration done : 5000 enodes (cost 287 ) 2.453 * [simplify]: Simplified to: (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 2.453 * * * [progress]: adding candidates to table 2.508 * * [progress]: iteration 2 / 4 2.508 * * * [progress]: picking best candidate 2.510 * * * * [pick]: Picked # 2.510 * * * [progress]: localizing error 2.516 * * * [progress]: generating rewritten candidates 2.516 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.525 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.538 * * * [progress]: generating series expansions 2.538 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.538 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 2.539 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of (+ x y) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of y in x 2.539 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.539 * [taylor]: Taking taylor expansion of x in y 2.539 * [taylor]: Taking taylor expansion of (+ x y) in y 2.539 * [taylor]: Taking taylor expansion of x in y 2.539 * [taylor]: Taking taylor expansion of y in y 2.539 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.539 * [taylor]: Taking taylor expansion of x in y 2.539 * [taylor]: Taking taylor expansion of (+ x y) in y 2.539 * [taylor]: Taking taylor expansion of x in y 2.539 * [taylor]: Taking taylor expansion of y in y 2.539 * [taylor]: Taking taylor expansion of 1 in x 2.540 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.546 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 2.546 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.546 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.546 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.546 * [taylor]: Taking taylor expansion of y in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.547 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.548 * [taylor]: Taking taylor expansion of y in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.548 * [taylor]: Taking taylor expansion of x in y 2.548 * [taylor]: Taking taylor expansion of x in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.548 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.548 * [taylor]: Taking taylor expansion of y in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.549 * [taylor]: Taking taylor expansion of x in y 2.549 * [taylor]: Taking taylor expansion of x in y 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.555 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.562 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 2.562 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 2.562 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.562 * [taylor]: Taking taylor expansion of y in x 2.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.562 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.564 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.564 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.564 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.564 * [taylor]: Taking taylor expansion of y in y 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.565 * [taylor]: Taking taylor expansion of x in y 2.565 * [taylor]: Taking taylor expansion of x in y 2.565 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 2.565 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.565 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.565 * [taylor]: Taking taylor expansion of y in y 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.565 * [taylor]: Taking taylor expansion of x in y 2.565 * [taylor]: Taking taylor expansion of x in y 2.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.566 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.572 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.582 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.583 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 2.583 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 2.583 * [taylor]: Taking taylor expansion of (+ x y) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [taylor]: Taking taylor expansion of y in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.583 * [taylor]: Taking taylor expansion of (+ x y) in y 2.583 * [taylor]: Taking taylor expansion of x in y 2.583 * [taylor]: Taking taylor expansion of y in y 2.583 * [taylor]: Taking taylor expansion of x in y 2.583 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.583 * [taylor]: Taking taylor expansion of (+ x y) in y 2.583 * [taylor]: Taking taylor expansion of x in y 2.583 * [taylor]: Taking taylor expansion of y in y 2.583 * [taylor]: Taking taylor expansion of x in y 2.583 * [taylor]: Taking taylor expansion of 1 in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.584 * [taylor]: Taking taylor expansion of 0 in x 2.585 * [taylor]: Taking taylor expansion of 0 in x 2.586 * [taylor]: Taking taylor expansion of 0 in x 2.586 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 2.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.586 * [taylor]: Taking taylor expansion of y in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.587 * [taylor]: Taking taylor expansion of y in y 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.587 * [taylor]: Taking taylor expansion of x in y 2.587 * [taylor]: Taking taylor expansion of x in y 2.587 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.587 * [taylor]: Taking taylor expansion of y in y 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.587 * [taylor]: Taking taylor expansion of x in y 2.587 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of 1 in x 2.589 * [taylor]: Taking taylor expansion of 0 in x 2.591 * [taylor]: Taking taylor expansion of 0 in x 2.593 * [taylor]: Taking taylor expansion of 0 in x 2.593 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 2.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.593 * [taylor]: Taking taylor expansion of y in y 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.594 * [taylor]: Taking taylor expansion of x in y 2.594 * [taylor]: Taking taylor expansion of x in y 2.594 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 2.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.594 * [taylor]: Taking taylor expansion of y in y 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.594 * [taylor]: Taking taylor expansion of x in y 2.594 * [taylor]: Taking taylor expansion of x in y 2.594 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of 1 in x 2.596 * [taylor]: Taking taylor expansion of 0 in x 2.598 * [taylor]: Taking taylor expansion of 0 in x 2.599 * [taylor]: Taking taylor expansion of 0 in x 2.600 * * * [progress]: simplifying candidates 2.601 * [simplify]: Simplifying using # : (- 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)) (- (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) 2.606 * * [simplify]: iteration 0 : 156 enodes (cost 1634 ) 2.666 * * [simplify]: iteration 1 : 350 enodes (cost 1347 ) 2.712 * * [simplify]: iteration 2 : 650 enodes (cost 1180 ) 2.923 * * [simplify]: iteration 3 : 1335 enodes (cost 1156 ) 3.522 * * [simplify]: iteration 4 : 2467 enodes (cost 1156 ) 4.412 * * [simplify]: iteration done : 5000 enodes (cost 1156 ) 4.413 * [simplify]: Simplified to: -1 (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) -1 (- (/ (+ 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) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 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) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 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) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) 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)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ 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 (+ x y)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ x y) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* x (- x y)) (* y y)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 4.414 * * * [progress]: adding candidates to table 4.553 * * [progress]: iteration 3 / 4 4.553 * * * [progress]: picking best candidate 4.555 * * * * [pick]: Picked # 4.555 * * * [progress]: localizing error 4.561 * * * [progress]: generating rewritten candidates 4.561 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.568 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.574 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.617 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.632 * * * [progress]: generating series expansions 4.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.632 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 4.632 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 4.632 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.632 * [taylor]: Taking taylor expansion of x in y 4.632 * [taylor]: Taking taylor expansion of (+ x y) in y 4.633 * [taylor]: Taking taylor expansion of x in y 4.633 * [taylor]: Taking taylor expansion of y in y 4.634 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 4.634 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.634 * [taylor]: Taking taylor expansion of (+ x y) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.634 * [taylor]: Taking taylor expansion of y in x 4.635 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 4.635 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [taylor]: Taking taylor expansion of (+ x y) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [taylor]: Taking taylor expansion of y in x 4.635 * [taylor]: Taking taylor expansion of 0 in y 4.635 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 4.635 * [taylor]: Taking taylor expansion of +nan.0 in y 4.635 * [taylor]: Taking taylor expansion of y in y 4.637 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 4.637 * [taylor]: Taking taylor expansion of +nan.0 in y 4.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.637 * [taylor]: Taking taylor expansion of y in y 4.640 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 4.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 4.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.640 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.640 * [taylor]: Taking taylor expansion of x in y 4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.640 * [taylor]: Taking taylor expansion of y in y 4.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.641 * [taylor]: Taking taylor expansion of x in y 4.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.642 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.642 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.642 * [taylor]: Taking taylor expansion of y in x 4.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.645 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.645 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.645 * [taylor]: Taking taylor expansion of x in x 4.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.649 * [taylor]: Taking taylor expansion of 1 in y 4.649 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.649 * [taylor]: Taking taylor expansion of -1/2 in y 4.649 * [taylor]: Taking taylor expansion of y in y 4.653 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 4.653 * [taylor]: Taking taylor expansion of 3/8 in y 4.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.653 * [taylor]: Taking taylor expansion of y in y 4.659 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 4.659 * [taylor]: Taking taylor expansion of -5/16 in y 4.659 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.659 * [taylor]: Taking taylor expansion of y in y 4.664 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 4.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 4.665 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.665 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.665 * [taylor]: Taking taylor expansion of x in y 4.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.665 * [taylor]: Taking taylor expansion of y in y 4.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.665 * [taylor]: Taking taylor expansion of x in y 4.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.666 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.666 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.666 * [taylor]: Taking taylor expansion of y in x 4.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.675 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.675 * [taylor]: Taking taylor expansion of y in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.679 * [taylor]: Taking taylor expansion of 1 in y 4.679 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.679 * [taylor]: Taking taylor expansion of -1/2 in y 4.680 * [taylor]: Taking taylor expansion of y in y 4.683 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 4.683 * [taylor]: Taking taylor expansion of 3/8 in y 4.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.683 * [taylor]: Taking taylor expansion of y in y 4.689 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 4.689 * [taylor]: Taking taylor expansion of -5/16 in y 4.689 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.689 * [taylor]: Taking taylor expansion of y in y 4.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.695 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 4.695 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 4.695 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.695 * [taylor]: Taking taylor expansion of x in y 4.695 * [taylor]: Taking taylor expansion of (+ x y) in y 4.695 * [taylor]: Taking taylor expansion of x in y 4.695 * [taylor]: Taking taylor expansion of y in y 4.696 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 4.696 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [taylor]: Taking taylor expansion of (+ x y) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [taylor]: Taking taylor expansion of y in x 4.697 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 4.697 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [taylor]: Taking taylor expansion of (+ x y) in x 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [taylor]: Taking taylor expansion of y in x 4.698 * [taylor]: Taking taylor expansion of 0 in y 4.698 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 4.698 * [taylor]: Taking taylor expansion of +nan.0 in y 4.698 * [taylor]: Taking taylor expansion of y in y 4.700 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 4.700 * [taylor]: Taking taylor expansion of +nan.0 in y 4.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.700 * [taylor]: Taking taylor expansion of y in y 4.703 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 4.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 4.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.703 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.703 * [taylor]: Taking taylor expansion of x in y 4.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.703 * [taylor]: Taking taylor expansion of x in y 4.704 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.704 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.704 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.705 * [taylor]: Taking taylor expansion of y in x 4.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.705 * [taylor]: Taking taylor expansion of x in x 4.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.709 * [taylor]: Taking taylor expansion of x in x 4.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.709 * [taylor]: Taking taylor expansion of y in x 4.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.709 * [taylor]: Taking taylor expansion of x in x 4.713 * [taylor]: Taking taylor expansion of 1 in y 4.713 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.713 * [taylor]: Taking taylor expansion of -1/2 in y 4.713 * [taylor]: Taking taylor expansion of y in y 4.716 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 4.716 * [taylor]: Taking taylor expansion of 3/8 in y 4.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.716 * [taylor]: Taking taylor expansion of y in y 4.722 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 4.723 * [taylor]: Taking taylor expansion of -5/16 in y 4.723 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.723 * [taylor]: Taking taylor expansion of y in y 4.728 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 4.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 4.728 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.728 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.728 * [taylor]: Taking taylor expansion of x in y 4.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.728 * [taylor]: Taking taylor expansion of y in y 4.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.728 * [taylor]: Taking taylor expansion of x in y 4.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.729 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.729 * [taylor]: Taking taylor expansion of x in x 4.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.729 * [taylor]: Taking taylor expansion of y in x 4.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.729 * [taylor]: Taking taylor expansion of x in x 4.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 4.733 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.733 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.733 * [taylor]: Taking taylor expansion of x in x 4.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.733 * [taylor]: Taking taylor expansion of y in x 4.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.733 * [taylor]: Taking taylor expansion of x in x 4.737 * [taylor]: Taking taylor expansion of 1 in y 4.737 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.737 * [taylor]: Taking taylor expansion of -1/2 in y 4.737 * [taylor]: Taking taylor expansion of y in y 4.740 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 4.740 * [taylor]: Taking taylor expansion of 3/8 in y 4.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.740 * [taylor]: Taking taylor expansion of y in y 4.746 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 4.747 * [taylor]: Taking taylor expansion of -5/16 in y 4.747 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.747 * [taylor]: Taking taylor expansion of y in y 4.752 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.752 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.752 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.753 * [taylor]: Taking taylor expansion of x in y 4.753 * [taylor]: Taking taylor expansion of (+ x y) in y 4.753 * [taylor]: Taking taylor expansion of x in y 4.753 * [taylor]: Taking taylor expansion of y in y 4.753 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.753 * [taylor]: Taking taylor expansion of x in x 4.753 * [taylor]: Taking taylor expansion of (+ x y) in x 4.753 * [taylor]: Taking taylor expansion of x in x 4.753 * [taylor]: Taking taylor expansion of y in x 4.753 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.753 * [taylor]: Taking taylor expansion of x in x 4.753 * [taylor]: Taking taylor expansion of (+ x y) in x 4.753 * [taylor]: Taking taylor expansion of x in x 4.753 * [taylor]: Taking taylor expansion of y in x 4.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.753 * [taylor]: Taking taylor expansion of y in y 4.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.754 * [taylor]: Taking taylor expansion of y in y 4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.758 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.758 * [taylor]: Taking taylor expansion of y in y 4.770 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.770 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.770 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.770 * [taylor]: Taking taylor expansion of x in y 4.770 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.770 * [taylor]: Taking taylor expansion of y in y 4.770 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.770 * [taylor]: Taking taylor expansion of x in y 4.771 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.771 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.771 * [taylor]: Taking taylor expansion of y in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.773 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.774 * [taylor]: Taking taylor expansion of 1 in y 4.776 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.776 * [taylor]: Taking taylor expansion of y in y 4.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.779 * [taylor]: Taking taylor expansion of y in y 4.784 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.784 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.784 * [taylor]: Taking taylor expansion of x in y 4.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.784 * [taylor]: Taking taylor expansion of y in y 4.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.784 * [taylor]: Taking taylor expansion of x in y 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.784 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.784 * [taylor]: Taking taylor expansion of x in x 4.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.784 * [taylor]: Taking taylor expansion of y in x 4.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.784 * [taylor]: Taking taylor expansion of x in x 4.786 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.786 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.786 * [taylor]: Taking taylor expansion of x in x 4.786 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.786 * [taylor]: Taking taylor expansion of y in x 4.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.786 * [taylor]: Taking taylor expansion of x in x 4.788 * [taylor]: Taking taylor expansion of 1 in y 4.789 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.789 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.789 * [taylor]: Taking taylor expansion of y in y 4.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.793 * [taylor]: Taking taylor expansion of y in y 4.797 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.797 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.797 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.797 * [taylor]: Taking taylor expansion of x in y 4.797 * [taylor]: Taking taylor expansion of (+ x y) in y 4.797 * [taylor]: Taking taylor expansion of x in y 4.797 * [taylor]: Taking taylor expansion of y in y 4.797 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of (+ x y) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of y in x 4.797 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of (+ x y) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of y in x 4.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.798 * [taylor]: Taking taylor expansion of y in y 4.799 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.799 * [taylor]: Taking taylor expansion of y in y 4.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.803 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.803 * [taylor]: Taking taylor expansion of y in y 4.810 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.810 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.810 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.810 * [taylor]: Taking taylor expansion of x in y 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.810 * [taylor]: Taking taylor expansion of y in y 4.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.810 * [taylor]: Taking taylor expansion of x in y 4.811 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.811 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.811 * [taylor]: Taking taylor expansion of y in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.813 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.813 * [taylor]: Taking taylor expansion of y in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.815 * [taylor]: Taking taylor expansion of 1 in y 4.816 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.816 * [taylor]: Taking taylor expansion of y in y 4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.819 * [taylor]: Taking taylor expansion of y in y 4.824 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.824 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.824 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.824 * [taylor]: Taking taylor expansion of x in y 4.824 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.824 * [taylor]: Taking taylor expansion of y in y 4.824 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.824 * [taylor]: Taking taylor expansion of x in y 4.824 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.824 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.824 * [taylor]: Taking taylor expansion of x in x 4.824 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.824 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.824 * [taylor]: Taking taylor expansion of y in x 4.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.824 * [taylor]: Taking taylor expansion of x in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.826 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.826 * [taylor]: Taking taylor expansion of y in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.828 * [taylor]: Taking taylor expansion of 1 in y 4.829 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.829 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.829 * [taylor]: Taking taylor expansion of y in y 4.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.833 * [taylor]: Taking taylor expansion of y in y 4.837 * * * [progress]: simplifying candidates 4.840 * [simplify]: Simplifying using # : (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)))) (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)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ x (+ y x)) (/ x (+ y x))) (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (* (/ x (+ y x)) (/ x (+ y x))) (+ 1 1) (+ (log (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x))))) (log (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (exp (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (* (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x))))) (* (cbrt (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (cbrt (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))))) (cbrt (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (* (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))) (* (/ x (+ y 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