9.119 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.030 * * [simplify]: iteration 3 : 40 enodes (cost 7 ) 0.036 * * [simplify]: iteration 4 : 59 enodes (cost 7 ) 0.046 * * [simplify]: iteration 5 : 75 enodes (cost 7 ) 0.061 * * [simplify]: iteration 6 : 82 enodes (cost 7 ) 0.073 * * [simplify]: iteration 7 : 84 enodes (cost 7 ) 0.085 * * [simplify]: iteration done : 84 enodes (cost 7 ) 0.086 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.102 * [taylor]: Taking taylor expansion of (+ x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.102 * [taylor]: Taking taylor expansion of 2 in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of 2 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of 2 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * * * [progress]: simplifying candidates 0.106 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) 0.108 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.124 * * [simplify]: iteration 1 : 185 enodes (cost 453 ) 0.164 * * [simplify]: iteration 2 : 728 enodes (cost 413 ) 1.400 * * [simplify]: iteration 3 : 3839 enodes (cost 376 ) 2.567 * * [simplify]: iteration done : 5000 enodes (cost 376 ) 2.567 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (pow (sqrt (+ x y)) 4) (* (- x y) (- x y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 4)) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (pow (sqrt (+ x y)) 4) (- x y)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (pow (sqrt (+ x y)) 4) (- x y)) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 2.568 * * * [progress]: adding candidates to table 2.605 * * [progress]: iteration 2 / 4 2.605 * * * [progress]: picking best candidate 2.612 * * * * [pick]: Picked # 2.612 * * * [progress]: localizing error 2.619 * * * [progress]: generating rewritten candidates 2.619 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.625 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.630 * * * [progress]: generating series expansions 2.630 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.630 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 2.630 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 2.630 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 2.630 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.630 * [taylor]: Taking taylor expansion of 2 in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.630 * [taylor]: Taking taylor expansion of y in x 2.631 * [taylor]: Taking taylor expansion of y in x 2.631 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.631 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.631 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.631 * [taylor]: Taking taylor expansion of 2 in y 2.631 * [taylor]: Taking taylor expansion of x in y 2.631 * [taylor]: Taking taylor expansion of y in y 2.631 * [taylor]: Taking taylor expansion of y in y 2.631 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.631 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.631 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.631 * [taylor]: Taking taylor expansion of 2 in y 2.631 * [taylor]: Taking taylor expansion of x in y 2.631 * [taylor]: Taking taylor expansion of y in y 2.631 * [taylor]: Taking taylor expansion of y in y 2.631 * [taylor]: Taking taylor expansion of 0 in x 2.631 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.631 * [taylor]: Taking taylor expansion of 2 in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of 1 in x 2.631 * [taylor]: Taking taylor expansion of 0 in x 2.632 * [taylor]: Taking taylor expansion of 0 in x 2.632 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 2.632 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x 2.632 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 2.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.632 * [taylor]: Taking taylor expansion of 2 in x 2.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.632 * [taylor]: Taking taylor expansion of x in x 2.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.632 * [taylor]: Taking taylor expansion of y in x 2.632 * [taylor]: Taking taylor expansion of y in x 2.632 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 2.632 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 2.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.632 * [taylor]: Taking taylor expansion of 2 in y 2.632 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.632 * [taylor]: Taking taylor expansion of x in y 2.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.632 * [taylor]: Taking taylor expansion of y in y 2.632 * [taylor]: Taking taylor expansion of y in y 2.632 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 2.632 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 2.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.632 * [taylor]: Taking taylor expansion of 2 in y 2.632 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.632 * [taylor]: Taking taylor expansion of x in y 2.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.632 * [taylor]: Taking taylor expansion of y in y 2.633 * [taylor]: Taking taylor expansion of y in y 2.633 * [taylor]: Taking taylor expansion of 1 in x 2.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.633 * [taylor]: Taking taylor expansion of 2 in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.633 * [taylor]: Taking taylor expansion of 0 in x 2.633 * [taylor]: Taking taylor expansion of 0 in x 2.634 * [taylor]: Taking taylor expansion of 0 in x 2.634 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 2.634 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x 2.634 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 2.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.634 * [taylor]: Taking taylor expansion of 2 in x 2.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.635 * [taylor]: Taking taylor expansion of y in x 2.635 * [taylor]: Taking taylor expansion of y in x 2.635 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 2.635 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 2.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.635 * [taylor]: Taking taylor expansion of 2 in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.635 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.635 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y 2.635 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 2.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.635 * [taylor]: Taking taylor expansion of 2 in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.635 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.635 * [taylor]: Taking taylor expansion of 1 in x 2.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.635 * [taylor]: Taking taylor expansion of 2 in x 2.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of 0 in x 2.636 * [taylor]: Taking taylor expansion of 0 in x 2.636 * [taylor]: Taking taylor expansion of 0 in x 2.637 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.637 * [approximate]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.637 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in y 2.637 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.637 * [taylor]: Taking taylor expansion of 2 in y 2.637 * [taylor]: Taking taylor expansion of (* x y) in y 2.637 * [taylor]: Taking taylor expansion of x in y 2.637 * [taylor]: Taking taylor expansion of y in y 2.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.637 * [taylor]: Taking taylor expansion of x in y 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.637 * [taylor]: Taking taylor expansion of y in y 2.637 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 2.637 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.637 * [taylor]: Taking taylor expansion of 2 in x 2.637 * [taylor]: Taking taylor expansion of (* x y) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of y in x 2.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.637 * [taylor]: Taking taylor expansion of y in x 2.637 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 2.637 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.637 * [taylor]: Taking taylor expansion of 2 in x 2.637 * [taylor]: Taking taylor expansion of (* x y) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of y in x 2.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.637 * [taylor]: Taking taylor expansion of y in x 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.637 * [taylor]: Taking taylor expansion of y in y 2.638 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.638 * [taylor]: Taking taylor expansion of 2 in y 2.638 * [taylor]: Taking taylor expansion of y in y 2.638 * [taylor]: Taking taylor expansion of 1 in y 2.638 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.638 * [taylor]: Taking taylor expansion of x in y 2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.638 * [taylor]: Taking taylor expansion of y in y 2.638 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.639 * [taylor]: Taking taylor expansion of 2 in y 2.639 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.639 * [taylor]: Taking taylor expansion of (* x y) in y 2.639 * [taylor]: Taking taylor expansion of x in y 2.639 * [taylor]: Taking taylor expansion of y in y 2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.639 * [taylor]: Taking taylor expansion of y in x 2.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.639 * [taylor]: Taking taylor expansion of 2 in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.639 * [taylor]: Taking taylor expansion of (* x y) in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of y in x 2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.639 * [taylor]: Taking taylor expansion of y in x 2.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.639 * [taylor]: Taking taylor expansion of 2 in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.639 * [taylor]: Taking taylor expansion of (* x y) in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [taylor]: Taking taylor expansion of y in x 2.639 * [taylor]: Taking taylor expansion of 1 in y 2.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.640 * [taylor]: Taking taylor expansion of 2 in y 2.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.640 * [taylor]: Taking taylor expansion of y in y 2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.640 * [taylor]: Taking taylor expansion of y in y 2.641 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.641 * [taylor]: Taking taylor expansion of x in y 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.641 * [taylor]: Taking taylor expansion of y in y 2.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.641 * [taylor]: Taking taylor expansion of 2 in y 2.641 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.641 * [taylor]: Taking taylor expansion of (* x y) in y 2.641 * [taylor]: Taking taylor expansion of x in y 2.641 * [taylor]: Taking taylor expansion of y in y 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.641 * [taylor]: Taking taylor expansion of y in x 2.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.641 * [taylor]: Taking taylor expansion of 2 in x 2.641 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.641 * [taylor]: Taking taylor expansion of (* x y) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of y in x 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.642 * [taylor]: Taking taylor expansion of y in x 2.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.642 * [taylor]: Taking taylor expansion of 2 in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.642 * [taylor]: Taking taylor expansion of (* x y) in x 2.642 * [taylor]: Taking taylor expansion of x in x 2.642 * [taylor]: Taking taylor expansion of y in x 2.642 * [taylor]: Taking taylor expansion of 1 in y 2.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.642 * [taylor]: Taking taylor expansion of 2 in y 2.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.642 * [taylor]: Taking taylor expansion of y in y 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.642 * [taylor]: Taking taylor expansion of y in y 2.643 * * * [progress]: simplifying candidates 2.643 * [simplify]: Simplifying using # : (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* x x)) (exp (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (* (* (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y)))) (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* y (+ (* 2 x) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (* 2 x))) (+ (* x x) (* (* 2 x) y)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (pow y 2)) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) 2.645 * * [simplify]: iteration 0 : 72 enodes (cost 527 ) 2.665 * * [simplify]: iteration 1 : 221 enodes (cost 491 ) 2.732 * * [simplify]: iteration 2 : 728 enodes (cost 437 ) 3.204 * * [simplify]: iteration 3 : 3042 enodes (cost 437 ) 4.480 * * [simplify]: iteration done : 5001 enodes (cost 437 ) 4.480 * [simplify]: Simplified to: (* y (+ (* 2 x) y)) (log (* y (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (* 2 x) y) (pow y 2) (* (* 2 x) y) (pow y 2) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* (- (* 4 (* x x)) (* y y)) y) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (pow (+ (* x x) (* y (+ (* 2 x) y))) 3) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow x 6) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* y (+ (* 2 x) y)) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (pow x 4) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 4.481 * * * [progress]: adding candidates to table 4.523 * * [progress]: iteration 3 / 4 4.523 * * * [progress]: picking best candidate 4.525 * * * * [pick]: Picked # 4.525 * * * [progress]: localizing error 4.532 * * * [progress]: generating rewritten candidates 4.532 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.539 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.546 * * * [progress]: generating series expansions 4.546 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.547 * [approximate]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 4.547 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in y 4.547 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.547 * [taylor]: Taking taylor expansion of 2 in y 4.547 * [taylor]: Taking taylor expansion of (* x y) in y 4.547 * [taylor]: Taking taylor expansion of x in y 4.547 * [taylor]: Taking taylor expansion of y in y 4.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.547 * [taylor]: Taking taylor expansion of x in y 4.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.547 * [taylor]: Taking taylor expansion of y in y 4.547 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 4.547 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.547 * [taylor]: Taking taylor expansion of 2 in x 4.547 * [taylor]: Taking taylor expansion of (* x y) in x 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [taylor]: Taking taylor expansion of y in x 4.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.547 * [taylor]: Taking taylor expansion of y in x 4.547 * [taylor]: Taking taylor expansion of (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) in x 4.547 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.547 * [taylor]: Taking taylor expansion of 2 in x 4.547 * [taylor]: Taking taylor expansion of (* x y) in x 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [taylor]: Taking taylor expansion of y in x 4.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.547 * [taylor]: Taking taylor expansion of y in x 4.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.547 * [taylor]: Taking taylor expansion of y in y 4.548 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.548 * [taylor]: Taking taylor expansion of 2 in y 4.548 * [taylor]: Taking taylor expansion of y in y 4.548 * [taylor]: Taking taylor expansion of 1 in y 4.548 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.548 * [taylor]: Taking taylor expansion of x in y 4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.549 * [taylor]: Taking taylor expansion of y in y 4.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.549 * [taylor]: Taking taylor expansion of 2 in y 4.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.549 * [taylor]: Taking taylor expansion of (* x y) in y 4.549 * [taylor]: Taking taylor expansion of x in y 4.549 * [taylor]: Taking taylor expansion of y in y 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.549 * [taylor]: Taking taylor expansion of 2 in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.549 * [taylor]: Taking taylor expansion of (* x y) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.549 * [taylor]: Taking taylor expansion of 2 in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.549 * [taylor]: Taking taylor expansion of (* x y) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.550 * [taylor]: Taking taylor expansion of 1 in y 4.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.550 * [taylor]: Taking taylor expansion of 2 in y 4.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.550 * [taylor]: Taking taylor expansion of y in y 4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.550 * [taylor]: Taking taylor expansion of y in y 4.551 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.551 * [taylor]: Taking taylor expansion of x in y 4.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.551 * [taylor]: Taking taylor expansion of y in y 4.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.551 * [taylor]: Taking taylor expansion of 2 in y 4.551 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.551 * [taylor]: Taking taylor expansion of (* x y) in y 4.551 * [taylor]: Taking taylor expansion of x in y 4.551 * [taylor]: Taking taylor expansion of y in y 4.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.551 * [taylor]: Taking taylor expansion of x in x 4.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.551 * [taylor]: Taking taylor expansion of y in x 4.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.551 * [taylor]: Taking taylor expansion of 2 in x 4.551 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.551 * [taylor]: Taking taylor expansion of (* x y) in x 4.551 * [taylor]: Taking taylor expansion of x in x 4.551 * [taylor]: Taking taylor expansion of y in x 4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.552 * [taylor]: Taking taylor expansion of x in x 4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.552 * [taylor]: Taking taylor expansion of y in x 4.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.552 * [taylor]: Taking taylor expansion of 2 in x 4.552 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.552 * [taylor]: Taking taylor expansion of (* x y) in x 4.552 * [taylor]: Taking taylor expansion of x in x 4.552 * [taylor]: Taking taylor expansion of y in x 4.552 * [taylor]: Taking taylor expansion of 1 in y 4.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.552 * [taylor]: Taking taylor expansion of 2 in y 4.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.552 * [taylor]: Taking taylor expansion of y in y 4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.553 * [taylor]: Taking taylor expansion of y in y 4.553 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.553 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 4.553 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 4.553 * [taylor]: Taking taylor expansion of x in y 4.553 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 4.553 * [taylor]: Taking taylor expansion of x in y 4.553 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.553 * [taylor]: Taking taylor expansion of 2 in y 4.553 * [taylor]: Taking taylor expansion of y in y 4.553 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.553 * [taylor]: Taking taylor expansion of 2 in x 4.553 * [taylor]: Taking taylor expansion of y in x 4.553 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.553 * [taylor]: Taking taylor expansion of 2 in x 4.553 * [taylor]: Taking taylor expansion of y in x 4.553 * [taylor]: Taking taylor expansion of 0 in y 4.554 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.554 * [taylor]: Taking taylor expansion of 2 in y 4.554 * [taylor]: Taking taylor expansion of y in y 4.554 * [taylor]: Taking taylor expansion of 1 in y 4.554 * [taylor]: Taking taylor expansion of 0 in y 4.554 * [taylor]: Taking taylor expansion of 0 in y 4.554 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 4.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 4.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.554 * [taylor]: Taking taylor expansion of x in y 4.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.555 * [taylor]: Taking taylor expansion of 2 in y 4.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.555 * [taylor]: Taking taylor expansion of y in y 4.555 * [taylor]: Taking taylor expansion of x in y 4.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.555 * [taylor]: Taking taylor expansion of x in x 4.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.555 * [taylor]: Taking taylor expansion of 2 in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.555 * [taylor]: Taking taylor expansion of y in x 4.555 * [taylor]: Taking taylor expansion of x in x 4.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.555 * [taylor]: Taking taylor expansion of x in x 4.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.555 * [taylor]: Taking taylor expansion of 2 in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.555 * [taylor]: Taking taylor expansion of y in x 4.555 * [taylor]: Taking taylor expansion of x in x 4.555 * [taylor]: Taking taylor expansion of 1 in y 4.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.555 * [taylor]: Taking taylor expansion of 2 in y 4.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.555 * [taylor]: Taking taylor expansion of y in y 4.556 * [taylor]: Taking taylor expansion of 0 in y 4.556 * [taylor]: Taking taylor expansion of 0 in y 4.556 * [taylor]: Taking taylor expansion of 0 in y 4.557 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 4.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 4.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.557 * [taylor]: Taking taylor expansion of x in y 4.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.557 * [taylor]: Taking taylor expansion of 2 in y 4.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.557 * [taylor]: Taking taylor expansion of y in y 4.557 * [taylor]: Taking taylor expansion of x in y 4.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.557 * [taylor]: Taking taylor expansion of x in x 4.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.557 * [taylor]: Taking taylor expansion of 2 in x 4.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.557 * [taylor]: Taking taylor expansion of y in x 4.557 * [taylor]: Taking taylor expansion of x in x 4.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.557 * [taylor]: Taking taylor expansion of x in x 4.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.557 * [taylor]: Taking taylor expansion of 2 in x 4.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.557 * [taylor]: Taking taylor expansion of y in x 4.557 * [taylor]: Taking taylor expansion of x in x 4.558 * [taylor]: Taking taylor expansion of 1 in y 4.558 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.558 * [taylor]: Taking taylor expansion of 2 in y 4.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.558 * [taylor]: Taking taylor expansion of y in y 4.558 * [taylor]: Taking taylor expansion of 0 in y 4.558 * [taylor]: Taking taylor expansion of 0 in y 4.559 * [taylor]: Taking taylor expansion of 0 in y 4.559 * * * [progress]: simplifying candidates 4.560 * [simplify]: Simplifying using # : (* (exp (* x (+ (* y 2) x))) (exp (* y y))) (log (+ (* x (+ (* y 2) x)) (* y y))) (exp (+ (* x (+ (* y 2) x)) (* y y))) (* (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (cbrt (+ (* x (+ (* y 2) x)) (* y y)))) (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (* (* (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y))) (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (+ (pow (* x (+ (* y 2) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (- (* (* y y) (* y y)) (* (* x (+ (* y 2) x)) (* y y)))) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* (* y y) (* y y))) (- (* x (+ (* y 2) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* y 2) x)) (+ (log x) (log (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (* (* (* x x) x) (* (* (+ (* y 2) x) (+ (* y 2) x)) (+ (* y 2) x))) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (* (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* x (* y 2)) (* x x) (* (* y 2) x) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) (* x 1) (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (* y 2) (* y 2)) (* x x))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (+ (pow x 2) (pow y 2))) (+ (* 2 (* x y)) (pow x 2)) (+ (* 2 (* x y)) (pow x 2)) (+ (* 2 (* x y)) (pow x 2)) 4.562 * * [simplify]: iteration 0 : 71 enodes (cost 523 ) 4.582 * * [simplify]: iteration 1 : 220 enodes (cost 485 ) 4.647 * * [simplify]: iteration 2 : 737 enodes (cost 445 ) 5.123 * * [simplify]: iteration 3 : 3066 enodes (cost 437 ) 6.371 * * [simplify]: iteration done : 5001 enodes (cost 437 ) 6.371 * [simplify]: Simplified to: (exp (+ (* x (+ (* y 2) x)) (* y y))) (log (+ (* x (+ (* y 2) x)) (* y y))) (exp (+ (* x (+ (* y 2) x)) (* y y))) (* (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (cbrt (+ (* x (+ (* y 2) x)) (* y y)))) (cbrt (+ (* x (+ (* y 2) x)) (* y y))) (pow (+ (* x (+ (* y 2) x)) (* y y)) 3) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (sqrt (+ (* x (+ (* y 2) x)) (* y y))) (+ (pow (* x (+ (* y 2) x)) 3) (pow y 6)) (+ (* (* x (+ (* y 2) x)) (- (* x (+ (* y 2) x)) (* y y))) (pow y 4)) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (pow y 4)) (- (* x (+ (* y 2) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* y 2) x)) (log (* x (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (pow (* x (+ (* y 2) x)) 3) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (pow (* x (+ (* y 2) x)) 3) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* 2 (* x y)) (* x x) (* 2 (* x y)) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) x (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* (- (* (* y y) 4) (* x x)) x) (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y)) (+ (* x (+ (* y 2) x)) (* y y)) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) 6.371 * * * [progress]: adding candidates to table 6.593 * [progress]: [Phase 3 of 3] Extracting. 6.593 * * [regime]: Finding splitpoints for: (# #) 6.593 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.593 * * * * [regimes]: Trying to branch on y from (# #) 6.625 * * * * [regimes]: Trying to branch on x from (# #) 6.655 * * * [regime]: Found split indices: #