10.856 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.035 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.036 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.038 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.040 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.043 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.049 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.058 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.097 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.098 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.121 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.126 * [taylor]: Taking taylor expansion of (+ x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (- x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x 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 (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x 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 0.128 * [taylor]: Taking taylor expansion of 0 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 * [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 0.129 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.129 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [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 (neg (* 2 (/ 1 (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [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 0.133 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.133 * [taylor]: Taking taylor expansion of -1 in y 0.133 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [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 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of 2 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.137 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * * * [progress]: simplifying candidates 0.143 * [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)) 0.148 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.155 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.185 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.188 * [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)) 0.188 * * * [progress]: adding candidates to table 0.252 * * [progress]: iteration 2 / 4 0.252 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * [progress]: generating series expansions 0.261 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying using # : 0.263 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.263 * [simplify]: Simplified to: 0.263 * * * [progress]: adding candidates to table 0.264 * * [progress]: iteration 3 / 4 0.264 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.281 * * * [progress]: generating rewritten candidates 0.281 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.294 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.316 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.330 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.330 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of (+ x y) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (+ x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of (+ x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.337 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.340 * [taylor]: Taking taylor expansion of -1 in y 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.341 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of -1 in y 0.341 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.343 * [taylor]: Taking taylor expansion of (+ x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (- x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.343 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.343 * [taylor]: Taking taylor expansion of (+ x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (- x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.344 * [taylor]: Taking taylor expansion of (+ x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (- x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of 2 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [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 0.346 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.346 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of 2 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [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 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.349 * [taylor]: Taking taylor expansion of -1 in y 0.349 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.353 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 1 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of 1 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * * * [progress]: simplifying candidates 0.360 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2)))) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (* (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (neg (+ x y)) (neg (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2)))) (/ (cbrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2)) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (sqrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (pow 1 2)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) 1) (/ (+ x y) (pow 1 2)) (/ (+ x y) 1) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 2) (pow y 2)) (- x y)) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (pow x 2) (pow y 2))))) (+ (log (- x y)) (log (/ (+ x y) (+ (pow x 2) (pow y 2))))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (exp (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (pow x 2) (pow y 2))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 2) (pow y 2))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (* (- x y) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ (sqrt (+ x y)) (pow 1 2))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)))) (* (- x y) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))))) (* (cbrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (sqrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (exp (pow x 2)) (exp (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.367 * * [simplify]: iteration 0 : 390 enodes (cost 902 ) 0.375 * * [simplify]: iteration 1 : 1953 enodes (cost 823 ) 0.411 * * [simplify]: iteration 2 : 5002 enodes (cost 822 ) 0.416 * [simplify]: Simplified to: (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (neg (+ x y)) (neg (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2)))) (/ (cbrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (sqrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (+ x y) (+ x y) (+ x y) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (+ (pow x 4) (neg (pow y 4)))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (pow y 2))) (* (+ (pow x 2) (pow y 2)) (- x y)) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (exp (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (pow (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) 3) (pow (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) 3) (* (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (pow (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) 3) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (pow x 2) (pow y 2)) (+ (* y (+ y x)) (pow x 2))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 2) (pow y 2))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (* (- x y) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2))))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (sqrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (/ (- x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (- x y) (sqrt (+ (pow x 2) (pow y 2)))) (- x y) (- x y) (- x y) (/ (- x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (- x y) (sqrt (+ (pow x 2) (pow y 2)))) (- x y) (- x y) (- x y) (- x y) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)))) (/ (- x y) (/ (+ (pow x 4) (neg (pow y 4))) (+ x y))) (* (cbrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (sqrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (+ (pow x 4) (neg (pow y 4))) (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.417 * * * [progress]: adding candidates to table 0.563 * * [progress]: iteration 4 / 4 0.563 * * * [progress]: picking best candidate 0.572 * * * * [pick]: Picked # 0.573 * * * [progress]: localizing error 0.583 * * * [progress]: generating rewritten candidates 0.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.599 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.616 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.623 * * * [progress]: generating series expansions 0.623 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.624 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 0.624 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of -1 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.626 * [taylor]: Taking taylor expansion of 2 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.628 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of 1 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.629 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.629 * [taylor]: Taking taylor expansion of 2 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of 1 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.633 * [taylor]: Taking taylor expansion of 2 in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.634 * [approximate]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in y 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (+ x y) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (+ x y) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (+ x y) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 1 in y 0.635 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of 1 in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.638 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.638 * [taylor]: Taking taylor expansion of -1 in y 0.638 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.639 * [taylor]: Taking taylor expansion of -1 in x 0.639 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.639 * [taylor]: Taking taylor expansion of -1 in x 0.639 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.641 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.642 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (+ x y) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.642 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (+ x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.642 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (+ x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.642 * [taylor]: Taking taylor expansion of -1 in y 0.642 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.646 * [taylor]: Taking taylor expansion of -1 in y 0.646 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of -1 in y 0.648 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.650 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 1 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of 1 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * * * [progress]: simplifying candidates 0.656 * [simplify]: Simplifying using # : (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (+ (log (+ (* x x) (* y y))) (log (+ x y)))) (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y)))) (- (log (* (- (* x x) (* y y)) (+ x y))) (+ (log (+ (* x x) (* y y))) (log (+ x y)))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y)))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y 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 x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (* (+ (* x x) (* y y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (* (+ (* x x) (* y y)) (+ x y)))) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (* (* (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (neg (* (- (* x x) (* y y)) (+ x y))) (neg (* (+ (* x x) (* y y)) (+ x y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (+ x y) (+ x y)) (/ 1 (* (+ (* x x) (* y y)) (+ x y))) (/ (* (+ (* x x) (* y y)) (+ x 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)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y 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)) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y))) (* (* (+ (* x x) (* y 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) (* x x)) (+ (* (* y y) (* 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)) (* (+ (* x x) (* y 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 y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (+ (log (+ (* x x) (* y y))) (log (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y))) (exp (* (+ (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ (* x x) (* y y)) (+ x y))) (cbrt (* (+ (* x x) (* y y)) (+ x y)))) (cbrt (* (+ (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (* (+ (* x x) (* y y)) (+ x y))) (sqrt (* (+ (* x x) (* y y)) (+ x y))) (sqrt (* (+ (* x x) (* y y)) (+ x y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x 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y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.792 * * * [progress]: adding candidates to table 0.901 * [progress]: [Phase 3 of 3] Extracting. 0.902 * * [regime]: Finding splitpoints for: (# # # # #) 0.904 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.904 * * * * [regimes]: Trying to branch on y from (# # # # #) 0.959 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.008 * * * [regime]: Found split indices: #