3.191 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.013 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.014 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.015 * * [simplify]: iteration done : 5 enodes (cost 5 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.043 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.080 * * * [progress]: simplifying candidates 0.081 * [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 0.083 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.096 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.119 * * [simplify]: iteration 2 : 259 enodes (cost 299 ) 0.189 * * [simplify]: iteration 3 : 542 enodes (cost 299 ) 0.399 * * [simplify]: iteration 4 : 1300 enodes (cost 299 ) 2.109 * * [simplify]: iteration 5 : 4967 enodes (cost 299 ) 3.444 * * [simplify]: iteration done : 5000 enodes (cost 299 ) 3.444 * [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 3.444 * * * [progress]: adding candidates to table 3.521 * * [progress]: iteration 2 / 4 3.521 * * * [progress]: picking best candidate 3.523 * * * * [pick]: Picked # 3.524 * * * [progress]: localizing error 3.529 * * * [progress]: generating rewritten candidates 3.529 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.545 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.554 * * * [progress]: generating series expansions 3.554 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.554 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.554 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.554 * [taylor]: Taking taylor expansion of x in y 3.555 * [taylor]: Taking taylor expansion of (+ x y) in y 3.555 * [taylor]: Taking taylor expansion of x in y 3.555 * [taylor]: Taking taylor expansion of y in y 3.555 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [taylor]: Taking taylor expansion of (+ x y) in x 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [taylor]: Taking taylor expansion of y in x 3.555 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [taylor]: Taking taylor expansion of (+ x y) in x 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [taylor]: Taking taylor expansion of y in x 3.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.555 * [taylor]: Taking taylor expansion of y in y 3.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.557 * [taylor]: Taking taylor expansion of y in y 3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.561 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.561 * [taylor]: Taking taylor expansion of y in y 3.569 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.569 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.569 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.569 * [taylor]: Taking taylor expansion of x in y 3.569 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.569 * [taylor]: Taking taylor expansion of y in y 3.570 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.570 * [taylor]: Taking taylor expansion of x in y 3.570 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.570 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.570 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.570 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.570 * [taylor]: Taking taylor expansion of y in x 3.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.572 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.572 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.573 * [taylor]: Taking taylor expansion of y in x 3.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.575 * [taylor]: Taking taylor expansion of 1 in y 3.577 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.577 * [taylor]: Taking taylor expansion of y in y 3.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.581 * [taylor]: Taking taylor expansion of y in y 3.586 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.586 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.586 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.586 * [taylor]: Taking taylor expansion of x in y 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.586 * [taylor]: Taking taylor expansion of y in y 3.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.587 * [taylor]: Taking taylor expansion of x in y 3.587 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.587 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.587 * [taylor]: Taking taylor expansion of y in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.589 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.590 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.590 * [taylor]: Taking taylor expansion of y in x 3.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.592 * [taylor]: Taking taylor expansion of 1 in y 3.594 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.598 * [taylor]: Taking taylor expansion of y in y 3.602 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.603 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 3.603 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.603 * [taylor]: Taking taylor expansion of (+ x y) in x 3.603 * [taylor]: Taking taylor expansion of x in x 3.603 * [taylor]: Taking taylor expansion of y in x 3.603 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.603 * [taylor]: Taking taylor expansion of (+ x y) in y 3.603 * [taylor]: Taking taylor expansion of x in y 3.603 * [taylor]: Taking taylor expansion of y in y 3.603 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.603 * [taylor]: Taking taylor expansion of (+ x y) in y 3.603 * [taylor]: Taking taylor expansion of x in y 3.603 * [taylor]: Taking taylor expansion of y in y 3.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.603 * [taylor]: Taking taylor expansion of x in x 3.605 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.605 * [taylor]: Taking taylor expansion of x in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.609 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.621 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.621 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.621 * [taylor]: Taking taylor expansion of y in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.622 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.622 * [taylor]: Taking taylor expansion of y in y 3.623 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.623 * [taylor]: Taking taylor expansion of x in y 3.623 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.623 * [taylor]: Taking taylor expansion of y in y 3.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.624 * [taylor]: Taking taylor expansion of x in y 3.624 * [taylor]: Taking taylor expansion of 1 in x 3.625 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.625 * [taylor]: Taking taylor expansion of x in x 3.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.629 * [taylor]: Taking taylor expansion of x in x 3.633 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.634 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.634 * [taylor]: Taking taylor expansion of -1 in x 3.634 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.634 * [taylor]: Taking taylor expansion of y in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.635 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.635 * [taylor]: Taking taylor expansion of -1 in y 3.635 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.635 * [taylor]: Taking taylor expansion of y in y 3.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.635 * [taylor]: Taking taylor expansion of x in y 3.636 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.636 * [taylor]: Taking taylor expansion of -1 in y 3.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.636 * [taylor]: Taking taylor expansion of y in y 3.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.636 * [taylor]: Taking taylor expansion of x in y 3.637 * [taylor]: Taking taylor expansion of -1 in x 3.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.638 * [taylor]: Taking taylor expansion of x in x 3.642 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.642 * [taylor]: Taking taylor expansion of x in x 3.647 * * * [progress]: simplifying candidates 3.648 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 3.651 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 3.690 * * [simplify]: iteration 1 : 232 enodes (cost 639 ) 3.764 * * [simplify]: iteration 2 : 479 enodes (cost 541 ) 3.964 * * [simplify]: iteration 3 : 890 enodes (cost 541 ) 4.465 * * [simplify]: iteration 4 : 1965 enodes (cost 541 ) 6.269 * * [simplify]: iteration done : 5000 enodes (cost 541 ) 6.270 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (/ 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))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) -1 (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 6.270 * * * [progress]: adding candidates to table 6.398 * * [progress]: iteration 3 / 4 6.398 * * * [progress]: picking best candidate 6.399 * * * * [pick]: Picked # 6.399 * * * [progress]: localizing error 6.405 * * * [progress]: generating rewritten candidates 6.405 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.414 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.431 * * * [progress]: generating series expansions 6.431 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.431 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 6.431 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [taylor]: Taking taylor expansion of (+ x y) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [taylor]: Taking taylor expansion of y in x 6.431 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.431 * [taylor]: Taking taylor expansion of (+ x y) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.431 * [taylor]: Taking taylor expansion of y in y 6.431 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.431 * [taylor]: Taking taylor expansion of (+ x y) in y 6.431 * [taylor]: Taking taylor expansion of x in y 6.431 * [taylor]: Taking taylor expansion of y in y 6.431 * [taylor]: Taking taylor expansion of 1 in x 6.432 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.432 * [taylor]: Taking taylor expansion of x in x 6.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.435 * [taylor]: Taking taylor expansion of x in x 6.440 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 6.440 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 6.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 6.440 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.440 * [taylor]: Taking taylor expansion of y in x 6.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.440 * [taylor]: Taking taylor expansion of x in x 6.440 * [taylor]: Taking taylor expansion of x in x 6.442 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 6.442 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.442 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.442 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.442 * [taylor]: Taking taylor expansion of y in y 6.443 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.443 * [taylor]: Taking taylor expansion of x in y 6.443 * [taylor]: Taking taylor expansion of x in y 6.443 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 6.443 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.443 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.443 * [taylor]: Taking taylor expansion of y in y 6.443 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.443 * [taylor]: Taking taylor expansion of x in y 6.444 * [taylor]: Taking taylor expansion of x in y 6.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.446 * [taylor]: Taking taylor expansion of x in x 6.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 6.451 * [taylor]: Taking taylor expansion of (pow x 3) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.461 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 6.461 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 6.461 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 6.461 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.461 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.461 * [taylor]: Taking taylor expansion of y in x 6.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.463 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 6.463 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.463 * [taylor]: Taking taylor expansion of y in y 6.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.464 * [taylor]: Taking taylor expansion of x in y 6.464 * [taylor]: Taking taylor expansion of x in y 6.464 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 6.464 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.464 * [taylor]: Taking taylor expansion of y in y 6.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.465 * [taylor]: Taking taylor expansion of x in y 6.465 * [taylor]: Taking taylor expansion of x in y 6.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.467 * [taylor]: Taking taylor expansion of x in x 6.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 6.472 * [taylor]: Taking taylor expansion of (pow x 3) in x 6.472 * [taylor]: Taking taylor expansion of x in x 6.480 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.480 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 6.480 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 6.481 * [taylor]: Taking taylor expansion of (+ x y) in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [taylor]: Taking taylor expansion of y in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 6.481 * [taylor]: Taking taylor expansion of (+ x y) in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of y in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 6.481 * [taylor]: Taking taylor expansion of (+ x y) in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of y in y 6.481 * [taylor]: Taking taylor expansion of x in y 6.481 * [taylor]: Taking taylor expansion of 1 in x 6.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.482 * [taylor]: Taking taylor expansion of x in x 6.482 * [taylor]: Taking taylor expansion of 0 in x 6.484 * [taylor]: Taking taylor expansion of 0 in x 6.485 * [taylor]: Taking taylor expansion of 0 in x 6.485 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 6.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 6.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.485 * [taylor]: Taking taylor expansion of y in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.486 * [taylor]: Taking taylor expansion of x in x 6.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.486 * [taylor]: Taking taylor expansion of y in y 6.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.486 * [taylor]: Taking taylor expansion of x in y 6.486 * [taylor]: Taking taylor expansion of x in y 6.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.486 * [taylor]: Taking taylor expansion of y in y 6.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.487 * [taylor]: Taking taylor expansion of x in y 6.487 * [taylor]: Taking taylor expansion of x in y 6.487 * [taylor]: Taking taylor expansion of x in x 6.488 * [taylor]: Taking taylor expansion of 1 in x 6.489 * [taylor]: Taking taylor expansion of 0 in x 6.491 * [taylor]: Taking taylor expansion of 0 in x 6.493 * [taylor]: Taking taylor expansion of 0 in x 6.494 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 6.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 6.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.494 * [taylor]: Taking taylor expansion of y in x 6.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.494 * [taylor]: Taking taylor expansion of x in x 6.494 * [taylor]: Taking taylor expansion of x in x 6.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.494 * [taylor]: Taking taylor expansion of y in y 6.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.495 * [taylor]: Taking taylor expansion of y in y 6.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.496 * [taylor]: Taking taylor expansion of x in x 6.497 * [taylor]: Taking taylor expansion of 1 in x 6.498 * [taylor]: Taking taylor expansion of 0 in x 6.500 * [taylor]: Taking taylor expansion of 0 in x 6.502 * [taylor]: Taking taylor expansion of 0 in x 6.502 * * * [progress]: simplifying candidates 6.504 * [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) 6.510 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 6.585 * * [simplify]: iteration 1 : 356 enodes (cost 1432 ) 6.724 * * [simplify]: iteration 2 : 777 enodes (cost 1203 ) 7.144 * * [simplify]: iteration 3 : 1677 enodes (cost 1179 ) 8.809 * * [simplify]: iteration 4 : 3417 enodes (cost 1179 ) 10.411 * * [simplify]: iteration done : 5000 enodes (cost 1179 ) 10.411 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -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 (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -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 (+ x y))) (/ (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 (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (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 (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 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 (+ x y))) (/ (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 (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (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 (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 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 (+ x y))) (/ (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 (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (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 (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 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 (+ x y))) (/ (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)) (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 (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) 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 (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (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)) (* (fma y y (* x (- x y))) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 10.412 * * * [progress]: adding candidates to table 10.599 * [progress]: [Phase 3 of 3] Extracting. 10.599 * * [regime]: Finding splitpoints for: (# # #) 10.599 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 10.599 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 10.613 * * * * [regimes]: Trying to branch on y from (# # #) 10.631 * * * * [regimes]: Trying to branch on x from (# # #) 10.646 * * * [regime]: Found split indices: #