15.570 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.031 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.034 * * [simplify]: iteration 2 : 47 enodes (cost 15 ) 0.045 * * [simplify]: iteration 3 : 86 enodes (cost 15 ) 0.058 * * [simplify]: iteration 4 : 166 enodes (cost 15 ) 0.086 * * [simplify]: iteration 5 : 296 enodes (cost 15 ) 0.137 * * [simplify]: iteration 6 : 532 enodes (cost 15 ) 0.228 * * [simplify]: iteration 7 : 967 enodes (cost 15 ) 0.646 * * [simplify]: iteration 8 : 3348 enodes (cost 15 ) 1.643 * * [simplify]: iteration done : 5000 enodes (cost 15 ) 1.643 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 1.643 * * [progress]: iteration 1 / 4 1.643 * * * [progress]: picking best candidate 1.646 * * * * [pick]: Picked # 1.646 * * * [progress]: localizing error 1.654 * * * [progress]: generating rewritten candidates 1.654 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.667 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.673 * * * [progress]: generating series expansions 1.673 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.673 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.673 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.673 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.673 * [taylor]: Taking taylor expansion of (+ x y) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of (- x y) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.673 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.673 * [taylor]: Taking taylor expansion of (+ x y) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (- x y) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.674 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.674 * [taylor]: Taking taylor expansion of (+ x y) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (- x y) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of -1 in y 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.675 * [taylor]: Taking taylor expansion of 2 in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.676 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.676 * [taylor]: Taking taylor expansion of x in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.676 * [taylor]: Taking taylor expansion of x in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.676 * [taylor]: Taking taylor expansion of x in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of 1 in y 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.679 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 1.680 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.680 * [taylor]: Taking taylor expansion of -1 in y 1.680 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.680 * [taylor]: Taking taylor expansion of x in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.680 * [taylor]: Taking taylor expansion of x in y 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.681 * [taylor]: Taking taylor expansion of -1 in x 1.681 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.681 * [taylor]: Taking taylor expansion of -1 in x 1.681 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of 1 in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.683 * [taylor]: Taking taylor expansion of 2 in y 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.684 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.685 * [taylor]: Taking taylor expansion of 1 in y 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.686 * [taylor]: Taking taylor expansion of x in y 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.686 * [taylor]: Taking taylor expansion of y in x 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.686 * [taylor]: Taking taylor expansion of y in x 1.686 * [taylor]: Taking taylor expansion of 1 in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.689 * [taylor]: Taking taylor expansion of 1 in y 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.690 * * * [progress]: simplifying candidates 1.691 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.694 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 1.711 * * [simplify]: iteration 1 : 308 enodes (cost 804 ) 1.786 * * [simplify]: iteration 2 : 1548 enodes (cost 668 ) 2.194 * * [simplify]: iteration done : 5001 enodes (cost 662 ) 2.194 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (+ x y) (- x y)) (+ (pow x 6) (pow y 6))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y (- y x)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y (+ x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y (- y x))) (+ x y))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y x)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y (+ x y)))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.195 * * * [progress]: adding candidates to table 2.252 * * [progress]: iteration 2 / 4 2.252 * * * [progress]: picking best candidate 2.261 * * * * [pick]: Picked # 2.261 * * * [progress]: localizing error 2.262 * * * [progress]: generating rewritten candidates 2.262 * * * [progress]: generating series expansions 2.262 * * * [progress]: simplifying candidates 2.262 * [simplify]: Simplifying using # : 2.263 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.263 * * [simplify]: iteration done : 0 enodes (cost 0 ) 2.263 * [simplify]: Simplified to: 2.263 * * * [progress]: adding candidates to table 2.263 * * [progress]: iteration 3 / 4 2.263 * * * [progress]: picking best candidate 2.270 * * * * [pick]: Picked # 2.270 * * * [progress]: localizing error 2.283 * * * [progress]: generating rewritten candidates 2.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.296 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 2.316 * * * [progress]: generating series expansions 2.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.316 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.316 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.316 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.316 * [taylor]: Taking taylor expansion of (+ x y) in y 2.316 * [taylor]: Taking taylor expansion of x in y 2.316 * [taylor]: Taking taylor expansion of y in y 2.316 * [taylor]: Taking taylor expansion of (- x y) in y 2.316 * [taylor]: Taking taylor expansion of x in y 2.316 * [taylor]: Taking taylor expansion of y in y 2.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.316 * [taylor]: Taking taylor expansion of x in y 2.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.316 * [taylor]: Taking taylor expansion of y in y 2.317 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.317 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.317 * [taylor]: Taking taylor expansion of (+ x y) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.317 * [taylor]: Taking taylor expansion of (- x y) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.317 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.317 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.317 * [taylor]: Taking taylor expansion of (+ x y) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.317 * [taylor]: Taking taylor expansion of (- x y) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.317 * [taylor]: Taking taylor expansion of y in x 2.318 * [taylor]: Taking taylor expansion of -1 in y 2.318 * [taylor]: Taking taylor expansion of 0 in y 2.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.318 * [taylor]: Taking taylor expansion of 2 in y 2.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.318 * [taylor]: Taking taylor expansion of y in y 2.319 * [taylor]: Taking taylor expansion of 0 in y 2.319 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.319 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.319 * [taylor]: Taking taylor expansion of x in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.319 * [taylor]: Taking taylor expansion of y in y 2.319 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.319 * [taylor]: Taking taylor expansion of x in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.319 * [taylor]: Taking taylor expansion of y in y 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.320 * [taylor]: Taking taylor expansion of x in y 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.320 * [taylor]: Taking taylor expansion of y in y 2.320 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of 1 in y 2.321 * [taylor]: Taking taylor expansion of 0 in y 2.322 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.322 * [taylor]: Taking taylor expansion of 2 in y 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.322 * [taylor]: Taking taylor expansion of y in y 2.323 * [taylor]: Taking taylor expansion of 0 in y 2.323 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.323 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.323 * [taylor]: Taking taylor expansion of -1 in y 2.323 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 2.323 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.324 * [taylor]: Taking taylor expansion of x in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.324 * [taylor]: Taking taylor expansion of y in y 2.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.324 * [taylor]: Taking taylor expansion of y in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.324 * [taylor]: Taking taylor expansion of x in y 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.324 * [taylor]: Taking taylor expansion of x in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.324 * [taylor]: Taking taylor expansion of y in y 2.324 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.324 * [taylor]: Taking taylor expansion of -1 in x 2.324 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.324 * [taylor]: Taking taylor expansion of y in x 2.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.324 * [taylor]: Taking taylor expansion of y in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.324 * [taylor]: Taking taylor expansion of y in x 2.325 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.325 * [taylor]: Taking taylor expansion of -1 in x 2.325 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.325 * [taylor]: Taking taylor expansion of y in x 2.325 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.325 * [taylor]: Taking taylor expansion of y in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.325 * [taylor]: Taking taylor expansion of y in x 2.325 * [taylor]: Taking taylor expansion of 1 in y 2.326 * [taylor]: Taking taylor expansion of 0 in y 2.326 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.326 * [taylor]: Taking taylor expansion of 2 in y 2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.326 * [taylor]: Taking taylor expansion of y in y 2.327 * [taylor]: Taking taylor expansion of 0 in y 2.328 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.328 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.328 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.328 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.328 * [taylor]: Taking taylor expansion of (+ x y) in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (- x y) in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.328 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.328 * [taylor]: Taking taylor expansion of (+ x y) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of y in x 2.328 * [taylor]: Taking taylor expansion of (- x y) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of y in x 2.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.328 * [taylor]: Taking taylor expansion of y in x 2.329 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.329 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.329 * [taylor]: Taking taylor expansion of (+ x y) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of y in x 2.329 * [taylor]: Taking taylor expansion of (- x y) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of y in x 2.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.329 * [taylor]: Taking taylor expansion of y in x 2.329 * [taylor]: Taking taylor expansion of -1 in y 2.329 * [taylor]: Taking taylor expansion of 0 in y 2.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.330 * [taylor]: Taking taylor expansion of 2 in y 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.330 * [taylor]: Taking taylor expansion of y in y 2.330 * [taylor]: Taking taylor expansion of 0 in y 2.331 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.331 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.331 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.331 * [taylor]: Taking taylor expansion of x in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.331 * [taylor]: Taking taylor expansion of x in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.331 * [taylor]: Taking taylor expansion of x in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.331 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.332 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.333 * [taylor]: Taking taylor expansion of 1 in y 2.333 * [taylor]: Taking taylor expansion of 0 in y 2.334 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.334 * [taylor]: Taking taylor expansion of 2 in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.334 * [taylor]: Taking taylor expansion of y in y 2.335 * [taylor]: Taking taylor expansion of 0 in y 2.335 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.335 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.335 * [taylor]: Taking taylor expansion of -1 in y 2.335 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.335 * [taylor]: Taking taylor expansion of x in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.335 * [taylor]: Taking taylor expansion of y in y 2.335 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.335 * [taylor]: Taking taylor expansion of y in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.335 * [taylor]: Taking taylor expansion of x in y 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.335 * [taylor]: Taking taylor expansion of x in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.336 * [taylor]: Taking taylor expansion of y in y 2.336 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.337 * [taylor]: Taking taylor expansion of y in x 2.337 * [taylor]: Taking taylor expansion of 1 in y 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.338 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.338 * [taylor]: Taking taylor expansion of 2 in y 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.338 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of 0 in y 2.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.339 * [approximate]: Taking taylor expansion of (exp (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))) in (x y) around 0 2.339 * [taylor]: Taking taylor expansion of (exp (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))) in y 2.339 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.339 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.339 * [taylor]: Taking taylor expansion of (+ x y) in y 2.339 * [taylor]: Taking taylor expansion of x in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of (- x y) in y 2.339 * [taylor]: Taking taylor expansion of x in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.340 * [taylor]: Taking taylor expansion of x in y 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.340 * [taylor]: Taking taylor expansion of y in y 2.340 * [taylor]: Taking taylor expansion of (exp (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))) in x 2.340 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.340 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.340 * [taylor]: Taking taylor expansion of (+ x y) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [taylor]: Taking taylor expansion of (- x y) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [taylor]: Taking taylor expansion of (exp (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))) in x 2.340 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.340 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.340 * [taylor]: Taking taylor expansion of (+ x y) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [taylor]: Taking taylor expansion of (- x y) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of y in x 2.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.341 * [taylor]: Taking taylor expansion of y in x 2.341 * [taylor]: Taking taylor expansion of (exp -1) in y 2.341 * [taylor]: Taking taylor expansion of -1 in y 2.341 * [taylor]: Taking taylor expansion of 0 in y 2.342 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) (pow y 2))) in y 2.342 * [taylor]: Taking taylor expansion of 2 in y 2.342 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 2)) in y 2.342 * [taylor]: Taking taylor expansion of (exp -1) in y 2.342 * [taylor]: Taking taylor expansion of -1 in y 2.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.342 * [taylor]: Taking taylor expansion of y in y 2.344 * [taylor]: Taking taylor expansion of 0 in y 2.344 * [approximate]: Taking taylor expansion of (exp (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.344 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.344 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.344 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.345 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.345 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.345 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.345 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.345 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.345 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.345 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.345 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.345 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.345 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.345 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.345 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.345 * [taylor]: Taking taylor expansion of y in x 2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.346 * [taylor]: Taking taylor expansion of x in x 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.346 * [taylor]: Taking taylor expansion of y in x 2.346 * [taylor]: Taking taylor expansion of E in y 2.346 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [taylor]: Taking taylor expansion of (* -2 (/ E (pow y 2))) in y 2.347 * [taylor]: Taking taylor expansion of -2 in y 2.347 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 2.347 * [taylor]: Taking taylor expansion of E in y 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.349 * [taylor]: Taking taylor expansion of 0 in y 2.352 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 2.352 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.352 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.352 * [taylor]: Taking taylor expansion of -1 in y 2.352 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.352 * [taylor]: Taking taylor expansion of x in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.352 * [taylor]: Taking taylor expansion of y in y 2.352 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.352 * [taylor]: Taking taylor expansion of y in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.352 * [taylor]: Taking taylor expansion of x in y 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.352 * [taylor]: Taking taylor expansion of x in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.352 * [taylor]: Taking taylor expansion of y in y 2.352 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.353 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.353 * [taylor]: Taking taylor expansion of -1 in x 2.353 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.353 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.353 * [taylor]: Taking taylor expansion of -1 in x 2.353 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.354 * [taylor]: Taking taylor expansion of x in x 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.354 * [taylor]: Taking taylor expansion of y in x 2.354 * [taylor]: Taking taylor expansion of E in y 2.354 * [taylor]: Taking taylor expansion of 0 in y 2.355 * [taylor]: Taking taylor expansion of (* -2 (/ E (pow y 2))) in y 2.355 * [taylor]: Taking taylor expansion of -2 in y 2.355 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 2.355 * [taylor]: Taking taylor expansion of E in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of 0 in y 2.357 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.357 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.357 * [taylor]: Taking taylor expansion of x in y 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.357 * [taylor]: Taking taylor expansion of y in x 2.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.357 * [taylor]: Taking taylor expansion of y in x 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of 0 in y 2.357 * [taylor]: Taking taylor expansion of 1 in y 2.358 * [taylor]: Taking taylor expansion of 0 in y 2.358 * [taylor]: Taking taylor expansion of 0 in y 2.358 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.358 * [taylor]: Taking taylor expansion of x in y 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.358 * [taylor]: Taking taylor expansion of y in y 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.358 * [taylor]: Taking taylor expansion of y in x 2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.359 * [taylor]: Taking taylor expansion of 1 in y 2.359 * [taylor]: Taking taylor expansion of 0 in y 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.359 * [taylor]: Taking taylor expansion of y in y 2.359 * [taylor]: Taking taylor expansion of 0 in y 2.360 * [taylor]: Taking taylor expansion of 0 in y 2.360 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.360 * [taylor]: Taking taylor expansion of x in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.361 * [taylor]: Taking taylor expansion of y in y 2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.361 * [taylor]: Taking taylor expansion of y in x 2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.361 * [taylor]: Taking taylor expansion of y in x 2.361 * [taylor]: Taking taylor expansion of 1 in y 2.361 * [taylor]: Taking taylor expansion of 0 in y 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.361 * [taylor]: Taking taylor expansion of y in y 2.362 * [taylor]: Taking taylor expansion of 0 in y 2.362 * [taylor]: Taking taylor expansion of 0 in y 2.362 * * * [progress]: simplifying candidates 2.364 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (log (* (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log 1) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (exp (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (log (exp (/ (- x y) (sqrt (+ (* x x) (* y y)))))) (log (exp (/ (- x y) 1))) (log (exp 1)) (log (exp (* (- x y) (+ x y)))) (log (exp (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))))) (log (exp (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (log (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (* (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (exp (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (exp (/ (- x y) (sqrt (+ (* x x) (* y y))))) (exp (/ (- x y) 1)) (exp 1) (exp (* (- x y) (+ x y))) (exp (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)))) (exp (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (exp (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (* (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (* (* (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 -1 1 1 (exp -1) E E (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.368 * * [simplify]: iteration 0 : 129 enodes (cost 1610 ) 2.387 * * [simplify]: iteration 1 : 356 enodes (cost 1537 ) 2.471 * * [simplify]: iteration 2 : 1637 enodes (cost 1300 ) 2.948 * * [simplify]: iteration done : 5001 enodes (cost 1294 ) 2.949 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)) (/ (+ (* x x) (* y y)) (+ x y)) (* (/ (- x y) (+ (pow x 6) (pow y 6))) (+ x y)) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (+ x y))) (* (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y (- y x)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y (+ x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y (- y x))) (+ x y))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y x)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y (+ x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* 2 (log (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) 0 (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) 1 (* (+ x y) (- x y)) (* (/ (- x y) (+ (pow x 6) (pow y 6))) (+ x y)) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (+ x y))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (exp (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (exp (/ (- x y) (sqrt (+ (* x x) (* y y))))) (exp (- x y)) E (exp (* (- x y) (+ x y))) (exp (* (/ (- x y) (+ (pow x 6) (pow y 6))) (+ x y))) (exp (/ (- x y) (/ (- (pow x 4) (pow y 4)) (+ x y)))) (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) (exp (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (* (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (pow (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) -1 1 1 -1 1 1 (exp -1) E E (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.949 * * * [progress]: adding candidates to table 3.060 * * [progress]: iteration 4 / 4 3.060 * * * [progress]: picking best candidate 3.066 * * * * [pick]: Picked # 3.066 * * * [progress]: localizing error 3.078 * * * [progress]: generating rewritten candidates 3.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.096 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.140 * * * [progress]: generating series expansions 3.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.141 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.141 * [taylor]: Taking taylor expansion of x in y 3.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.141 * [taylor]: Taking taylor expansion of y in y 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.141 * [taylor]: Taking taylor expansion of x in x 3.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.141 * [taylor]: Taking taylor expansion of y in x 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.141 * [taylor]: Taking taylor expansion of x in x 3.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.142 * [taylor]: Taking taylor expansion of y in x 3.142 * [taylor]: Taking taylor expansion of y in y 3.142 * [taylor]: Taking taylor expansion of 0 in y 3.142 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.142 * [taylor]: Taking taylor expansion of 1/2 in y 3.142 * [taylor]: Taking taylor expansion of y in y 3.142 * [taylor]: Taking taylor expansion of 0 in y 3.143 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.143 * [taylor]: Taking taylor expansion of x in y 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.143 * [taylor]: Taking taylor expansion of y in y 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.143 * [taylor]: Taking taylor expansion of y in x 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.143 * [taylor]: Taking taylor expansion of y in x 3.144 * [taylor]: Taking taylor expansion of 1 in y 3.144 * [taylor]: Taking taylor expansion of 0 in y 3.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.144 * [taylor]: Taking taylor expansion of 1/2 in y 3.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.144 * [taylor]: Taking taylor expansion of y in y 3.144 * [taylor]: Taking taylor expansion of 0 in y 3.145 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.145 * [taylor]: Taking taylor expansion of x in y 3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.145 * [taylor]: Taking taylor expansion of y in y 3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.145 * [taylor]: Taking taylor expansion of x in x 3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.145 * [taylor]: Taking taylor expansion of y in x 3.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.146 * [taylor]: Taking taylor expansion of x in x 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.146 * [taylor]: Taking taylor expansion of y in x 3.146 * [taylor]: Taking taylor expansion of 1 in y 3.146 * [taylor]: Taking taylor expansion of 0 in y 3.146 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.146 * [taylor]: Taking taylor expansion of 1/2 in y 3.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.146 * [taylor]: Taking taylor expansion of y in y 3.150 * [taylor]: Taking taylor expansion of 0 in y 3.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.151 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.151 * [taylor]: Taking taylor expansion of x in y 3.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.151 * [taylor]: Taking taylor expansion of y in y 3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.151 * [taylor]: Taking taylor expansion of y in x 3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.151 * [taylor]: Taking taylor expansion of y in x 3.152 * [taylor]: Taking taylor expansion of y in y 3.152 * [taylor]: Taking taylor expansion of 0 in y 3.152 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.152 * [taylor]: Taking taylor expansion of 1/2 in y 3.152 * [taylor]: Taking taylor expansion of y in y 3.152 * [taylor]: Taking taylor expansion of 0 in y 3.152 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.152 * [taylor]: Taking taylor expansion of x in y 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.153 * [taylor]: Taking taylor expansion of y in y 3.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.153 * [taylor]: Taking taylor expansion of x in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.153 * [taylor]: Taking taylor expansion of y in x 3.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.153 * [taylor]: Taking taylor expansion of x in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.153 * [taylor]: Taking taylor expansion of y in x 3.153 * [taylor]: Taking taylor expansion of 1 in y 3.153 * [taylor]: Taking taylor expansion of 0 in y 3.154 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.154 * [taylor]: Taking taylor expansion of 1/2 in y 3.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.154 * [taylor]: Taking taylor expansion of y in y 3.154 * [taylor]: Taking taylor expansion of 0 in y 3.155 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.155 * [taylor]: Taking taylor expansion of x in y 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.155 * [taylor]: Taking taylor expansion of y in y 3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.155 * [taylor]: Taking taylor expansion of y in x 3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.156 * [taylor]: Taking taylor expansion of y in x 3.156 * [taylor]: Taking taylor expansion of 1 in y 3.156 * [taylor]: Taking taylor expansion of 0 in y 3.156 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.156 * [taylor]: Taking taylor expansion of 1/2 in y 3.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.156 * [taylor]: Taking taylor expansion of y in y 3.157 * [taylor]: Taking taylor expansion of 0 in y 3.157 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.157 * [approximate]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in (x y) around 0 3.157 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y 3.157 * [taylor]: Taking taylor expansion of (+ x y) in y 3.157 * [taylor]: Taking taylor expansion of x in y 3.157 * [taylor]: Taking taylor expansion of y in y 3.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 3.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 3.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.157 * [taylor]: Taking taylor expansion of x in y 3.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.157 * [taylor]: Taking taylor expansion of y in y 3.158 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 3.158 * [taylor]: Taking taylor expansion of (+ x y) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [taylor]: Taking taylor expansion of y in x 3.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 3.158 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 3.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.158 * [taylor]: Taking taylor expansion of y in x 3.158 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 3.159 * [taylor]: Taking taylor expansion of (+ x y) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 3.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of 1 in y 3.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.159 * [taylor]: Taking taylor expansion of y in y 3.160 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 3.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 3.160 * [taylor]: Taking taylor expansion of 1/2 in y 3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.160 * [taylor]: Taking taylor expansion of y in y 3.161 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 3.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 3.161 * [taylor]: Taking taylor expansion of 1/2 in y 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.161 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.161 * [taylor]: Taking taylor expansion of y in y 3.162 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in (x y) around 0 3.162 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in y 3.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.162 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.162 * [taylor]: Taking taylor expansion of x in y 3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.162 * [taylor]: Taking taylor expansion of y in y 3.162 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.162 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.162 * [taylor]: Taking taylor expansion of x in y 3.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.162 * [taylor]: Taking taylor expansion of y in y 3.162 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in x 3.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.162 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.163 * [taylor]: Taking taylor expansion of y in x 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.163 * [taylor]: Taking taylor expansion of x in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.163 * [taylor]: Taking taylor expansion of y in x 3.163 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.163 * [taylor]: Taking taylor expansion of x in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.163 * [taylor]: Taking taylor expansion of y in x 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.163 * [taylor]: Taking taylor expansion of x in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.163 * [taylor]: Taking taylor expansion of y in x 3.163 * [taylor]: Taking taylor expansion of 1 in y 3.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.164 * [taylor]: Taking taylor expansion of y in y 3.164 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 3.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 3.164 * [taylor]: Taking taylor expansion of 1/2 in y 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.164 * [taylor]: Taking taylor expansion of y in y 3.165 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 3.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 3.165 * [taylor]: Taking taylor expansion of 1/2 in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.166 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.166 * [taylor]: Taking taylor expansion of y in y 3.166 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 3.166 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y)))) in y 3.166 * [taylor]: Taking taylor expansion of -1 in y 3.166 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in y 3.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.166 * [taylor]: Taking taylor expansion of x in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.166 * [taylor]: Taking taylor expansion of y in y 3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.167 * [taylor]: Taking taylor expansion of x in y 3.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.167 * [taylor]: Taking taylor expansion of y in y 3.167 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y)))) in x 3.167 * [taylor]: Taking taylor expansion of -1 in x 3.167 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in x 3.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.167 * [taylor]: Taking taylor expansion of y in x 3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.167 * [taylor]: Taking taylor expansion of y in x 3.167 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y)))) in x 3.167 * [taylor]: Taking taylor expansion of -1 in x 3.167 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (+ (/ 1 x) (/ 1 y))) in x 3.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.168 * [taylor]: Taking taylor expansion of y in x 3.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.168 * [taylor]: Taking taylor expansion of y in x 3.168 * [taylor]: Taking taylor expansion of -1 in y 3.168 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 3.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.168 * [taylor]: Taking taylor expansion of y in y 3.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 3.169 * [taylor]: Taking taylor expansion of 1/2 in y 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.169 * [taylor]: Taking taylor expansion of y in y 3.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 3.170 * [taylor]: Taking taylor expansion of 1/2 in y 3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.170 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.170 * [taylor]: Taking taylor expansion of y in y 3.171 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.171 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 3.171 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 3.171 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 3.171 * [taylor]: Taking taylor expansion of (+ x y) in y 3.171 * [taylor]: Taking taylor expansion of x in y 3.171 * [taylor]: Taking taylor expansion of y in y 3.171 * [taylor]: Taking taylor expansion of (- x y) in y 3.171 * [taylor]: Taking taylor expansion of x in y 3.171 * [taylor]: Taking taylor expansion of y in y 3.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.171 * [taylor]: Taking taylor expansion of x in y 3.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.171 * [taylor]: Taking taylor expansion of y in y 3.172 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 3.172 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.172 * [taylor]: Taking taylor expansion of (+ x y) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (- x y) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 3.172 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.172 * [taylor]: Taking taylor expansion of (+ x y) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (- x y) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.172 * [taylor]: Taking taylor expansion of y in x 3.173 * [taylor]: Taking taylor expansion of -1 in y 3.173 * [taylor]: Taking taylor expansion of 0 in y 3.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.173 * [taylor]: Taking taylor expansion of 2 in y 3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.173 * [taylor]: Taking taylor expansion of y in y 3.174 * [taylor]: Taking taylor expansion of 0 in y 3.175 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.175 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.175 * [taylor]: Taking taylor expansion of x in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.175 * [taylor]: Taking taylor expansion of y in y 3.175 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.175 * [taylor]: Taking taylor expansion of x in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.175 * [taylor]: Taking taylor expansion of y in y 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.175 * [taylor]: Taking taylor expansion of x in y 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.175 * [taylor]: Taking taylor expansion of y in y 3.175 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.175 * [taylor]: Taking taylor expansion of y in x 3.175 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.175 * [taylor]: Taking taylor expansion of y in x 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.176 * [taylor]: Taking taylor expansion of y in x 3.176 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.176 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 3.176 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.176 * [taylor]: Taking taylor expansion of y in x 3.176 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.176 * [taylor]: Taking taylor expansion of y in x 3.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.176 * [taylor]: Taking taylor expansion of y in x 3.176 * [taylor]: Taking taylor expansion of 1 in y 3.177 * [taylor]: Taking taylor expansion of 0 in y 3.177 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 3.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.177 * [taylor]: Taking taylor expansion of 2 in y 3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.177 * [taylor]: Taking taylor expansion of y in y 3.178 * [taylor]: Taking taylor expansion of 0 in y 3.179 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 3.179 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.179 * [taylor]: Taking taylor expansion of -1 in y 3.179 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.179 * [taylor]: Taking taylor expansion of x in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.179 * [taylor]: Taking taylor expansion of y in y 3.179 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.179 * [taylor]: Taking taylor expansion of y in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.179 * [taylor]: Taking taylor expansion of x in y 3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.179 * [taylor]: Taking taylor expansion of x in y 3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.179 * [taylor]: Taking taylor expansion of y in y 3.179 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.179 * [taylor]: Taking taylor expansion of -1 in x 3.179 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.180 * [taylor]: Taking taylor expansion of y in x 3.180 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.180 * [taylor]: Taking taylor expansion of y in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.180 * [taylor]: Taking taylor expansion of y in x 3.180 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.180 * [taylor]: Taking taylor expansion of -1 in x 3.180 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.180 * [taylor]: Taking taylor expansion of y in x 3.180 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.180 * [taylor]: Taking taylor expansion of y in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.181 * [taylor]: Taking taylor expansion of y in x 3.181 * [taylor]: Taking taylor expansion of 1 in y 3.181 * [taylor]: Taking taylor expansion of 0 in y 3.182 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 3.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.182 * [taylor]: Taking taylor expansion of 2 in y 3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.182 * [taylor]: Taking taylor expansion of y in y 3.183 * [taylor]: Taking taylor expansion of 0 in y 3.183 * * * [progress]: simplifying candidates 3.186 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x 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x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- (sqrt x) (sqrt y)) (+ y x)) (+ (* y y) (* x x))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- (sqrt x) (sqrt y)) (+ y x)) (+ (* y y) (* x x))) (* (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (/ (sqrt (+ (* x (pow x 3)) (* (* y y) (- (* y y) (* x x))))) (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (* (sqrt (- (* x x) (* y y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (- x y)) (* (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (- x y)) y x (neg x) y x (neg x) 1 1 -1 -1 1 1 3.773 * * * [progress]: adding candidates to table 3.913 * [progress]: [Phase 3 of 3] Extracting. 3.913 * * [regime]: Finding splitpoints for: (# # # #) 3.913 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 3.914 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 3.952 * * * * [regimes]: Trying to branch on y from (# # # #) 4.011 * * * * [regimes]: Trying to branch on x from (# # # #) 4.059 * * * [regime]: Found split indices: #