9.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [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))) 0.031 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.032 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.034 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.036 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.039 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.045 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.055 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.090 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.091 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.113 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.118 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.118 * [taylor]: Taking taylor expansion of (+ x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (- x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.118 * [taylor]: Taking taylor expansion of (+ x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (- x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.119 * [taylor]: Taking taylor expansion of (+ x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (- x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of -1 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.120 * [taylor]: Taking taylor expansion of 2 in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.121 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of 2 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.125 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.129 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * * * [progress]: simplifying candidates 0.135 * [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)) 0.139 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.147 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.177 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.179 * [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)))) (- (pow y 2) (pow x 2)) (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) (+ (pow x 2) (pow y 2))) (/ 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)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (neg (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (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 x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 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)) 0.179 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.241 * * * * [pick]: Picked # 0.241 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.265 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.272 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.272 * [taylor]: Taking taylor expansion of (+ x y) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (- x y) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.273 * [taylor]: Taking taylor expansion of (+ x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (- x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.273 * [taylor]: Taking taylor expansion of (+ x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (- x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of 2 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.275 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of 2 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.279 * [taylor]: Taking taylor expansion of -1 in y 0.279 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.282 * [taylor]: Taking taylor expansion of 2 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2) 0.283 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 1 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * * * [progress]: simplifying candidates 0.289 * [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)) 0.293 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.299 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.328 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.330 * [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)))) (- (pow y 2) (pow x 2)) (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) (+ (pow x 2) (pow y 2))) (/ 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)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (neg (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (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 x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 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)) 0.330 * * * [progress]: adding candidates to table 0.395 * * [progress]: iteration 3 / 4 0.395 * * * [progress]: picking best candidate 0.399 * * * * [pick]: Picked # 0.399 * * * [progress]: localizing error 0.399 * * * [progress]: generating rewritten candidates 0.399 * * * [progress]: generating series expansions 0.399 * * * [progress]: simplifying candidates 0.399 * [simplify]: Simplifying using # : 0.401 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.401 * [simplify]: Simplified to: 0.401 * * * [progress]: adding candidates to table 0.401 * * [progress]: iteration 4 / 4 0.401 * * * [progress]: picking best candidate 0.403 * * * * [pick]: Picked # 0.403 * * * [progress]: localizing error 0.404 * * * [progress]: generating rewritten candidates 0.404 * * * [progress]: generating series expansions 0.404 * * * [progress]: simplifying candidates 0.404 * [simplify]: Simplifying using # : 0.406 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.406 * [simplify]: Simplified to: 0.406 * * * [progress]: adding candidates to table 0.406 * [progress]: [Phase 3 of 3] Extracting. 0.406 * * [regime]: Finding splitpoints for: (# # #) 0.406 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.406 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # #) 0.441 * * * * [regimes]: Trying to branch on y from (# # #) 0.492 * * * * [regimes]: Trying to branch on x from (# # #) 0.532 * * * [regime]: Found split indices: #