4.667 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.025 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.028 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.030 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.034 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.039 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.049 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.085 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.085 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.113 * [taylor]: Taking taylor expansion of (+ x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (- x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.114 * [taylor]: Taking taylor expansion of (+ x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (- x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.115 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.115 * [taylor]: Taking taylor expansion of (+ x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (- x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of -1 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of 2 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.125 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.130 * [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 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of 2 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 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [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 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.152 * [taylor]: Taking taylor expansion of -1 in y 0.152 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.155 * [taylor]: Taking taylor expansion of -1 in x 0.155 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.158 * [taylor]: Taking taylor expansion of -1 in x 0.158 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of 2 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.178 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.205 * * * [progress]: simplifying candidates 0.205 * [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)))) (- (* (- x y) (+ x y))) (- (+ (* 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)) 0.210 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.217 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.245 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.247 * [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)) (- (+ (* 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))) (+ (* (- (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))) (+ (* (- (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)) 0.247 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.354 * * * [progress]: picking best candidate 0.361 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.375 * * * [progress]: generating rewritten candidates 0.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.399 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.423 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.423 * [taylor]: Taking taylor expansion of (+ x y) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (- x y) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.424 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.424 * [taylor]: Taking taylor expansion of (+ x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (- x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.425 * [taylor]: Taking taylor expansion of (+ x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (- x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [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 0.434 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.440 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of 2 in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [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 0.462 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.462 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.465 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of 2 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.488 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.492 * [taylor]: Taking taylor expansion of 1/2 in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of 1/2 in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 1/2 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.524 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.524 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.527 * [taylor]: Taking taylor expansion of 1/2 in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of 1 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of 1/2 in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of 1/2 in y 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.561 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.562 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 1 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.588 * * * [progress]: simplifying candidates 0.589 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (+ (log (- x y)) (log (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (log (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (exp (/ (* (- x 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(sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) -1 1 1 y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.598 * * [simplify]: iteration 0 : 455 enodes (cost 1205 ) 0.608 * * [simplify]: iteration 1 : 2861 enodes (cost 1021 ) 0.661 * * [simplify]: iteration 2 : 5003 enodes (cost 971 ) 0.666 * [simplify]: Simplified to: (+ (log (/ (- x y) (+ (* x x) (* y y)))) (log (+ x y))) (+ (log (/ (- x y) (+ (* x x) (* y y)))) (log (+ x y))) (+ (log (/ (- x y) (+ (* x x) (* y y)))) (log (+ x y))) (+ (log (/ (- x y) (+ (* x x) (* y y)))) (log (+ x y))) (+ (log (/ (- x y) (+ (* x x) (* y y)))) (log (+ x y))) (pow (exp (/ (- x y) (+ (* x x) (* y y)))) (+ x y)) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (fabs (/ (sqrt (- (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (fabs (/ (sqrt (- (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (- (* (- x y) (+ x y))) (+ (- (pow x 2)) (- (pow y 2))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (/ (+ (* x x) (* y y)) 1)) (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ x y)) (/ (- x y) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ x y))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (- x y) (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* 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))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (- x y) (+ (* x x) (* y y))) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ x y) (+ (* x x) (* y y))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (* 2 (log (sqrt (+ (* x x) (* y y))))) (* 2 (log (sqrt (+ (* x x) (* y y))))) (* (exp (pow x 2)) (exp (pow y 2))) (pow (+ (* x x) (* y y)) 3) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (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))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) -1 1 1 y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.667 * * * [progress]: adding candidates to table 0.929 * * [progress]: iteration 3 / 4 0.929 * * * [progress]: picking best candidate 0.934 * * * * [pick]: Picked # 0.935 * * * [progress]: localizing error 0.953 * * * [progress]: generating rewritten candidates 0.953 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.015 * * * [progress]: generating series expansions 1.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.016 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.016 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.016 * [taylor]: Taking taylor expansion of (+ x y) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (- x y) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.017 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.017 * [taylor]: Taking taylor expansion of (+ x y) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (- x y) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.017 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.017 * [taylor]: Taking taylor expansion of (+ x y) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (- x y) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of -1 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.021 * [taylor]: Taking taylor expansion of 2 in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [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 1.027 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.027 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.027 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.030 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.030 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.032 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.035 * [taylor]: Taking taylor expansion of 1 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.041 * [taylor]: Taking taylor expansion of 2 in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [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 1.049 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.049 * [taylor]: Taking taylor expansion of -1 in y 1.049 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.052 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of 1 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.065 * [taylor]: Taking taylor expansion of 2 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.077 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.077 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.077 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.077 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.077 * [taylor]: Taking taylor expansion of (+ x y) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of (- x y) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.078 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.078 * [taylor]: Taking taylor expansion of (+ x y) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of (- x y) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.079 * [taylor]: Taking taylor expansion of (+ x y) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (- x y) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of -1 in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.082 * [taylor]: Taking taylor expansion of 2 in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [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 1.088 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.088 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.088 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.089 * [taylor]: Taking taylor expansion of x in y 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.089 * [taylor]: Taking taylor expansion of x in y 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.091 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.091 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.093 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.095 * [taylor]: Taking taylor expansion of y in x 1.096 * [taylor]: Taking taylor expansion of 1 in y 1.098 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of 2 in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [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 1.110 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.111 * [taylor]: Taking taylor expansion of -1 in y 1.111 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.111 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.113 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.116 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.116 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.127 * [taylor]: Taking taylor expansion of 2 in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.135 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.135 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.135 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.135 * [taylor]: Taking taylor expansion of (+ x y) in y 1.135 * [taylor]: Taking taylor expansion of x in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (- x y) in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.136 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.136 * [taylor]: Taking taylor expansion of (+ x y) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of (- x y) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.137 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.137 * [taylor]: Taking taylor expansion of (+ x y) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (- x y) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.140 * [taylor]: Taking taylor expansion of 2 in y 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [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 1.146 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.146 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.146 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.149 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of 1 in y 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.163 * [taylor]: Taking taylor expansion of 2 in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.171 * [taylor]: Taking taylor expansion of -1 in y 1.171 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.171 * [taylor]: Taking taylor expansion of x in y 1.171 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.172 * [taylor]: Taking taylor expansion of x in y 1.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.172 * [taylor]: Taking taylor expansion of x in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.173 * [taylor]: Taking taylor expansion of -1 in x 1.173 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.174 * [taylor]: Taking taylor expansion of y in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.176 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.180 * [taylor]: Taking taylor expansion of 1 in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.187 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of 2 in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of 0 in y 1.195 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.195 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.195 * [taylor]: Taking taylor expansion of x in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.199 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.199 * [taylor]: Taking taylor expansion of 1/2 in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.209 * [taylor]: Taking taylor expansion of 1 in y 1.209 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of 1/2 in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.215 * [taylor]: Taking taylor expansion of x in y 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.221 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of 1 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.225 * [taylor]: Taking taylor expansion of 1/2 in y 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.229 * * * [progress]: simplifying candidates 1.234 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (+ (log (- x y)) (log (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (log (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (exp (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (* (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (* (* (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (- (* (- x y) (+ x y))) (- (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ x y)) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (+ (* y y) (* x y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ x y)) (- (+ (log (- x y)) (log (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (+ (log (- x y)) (log (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))) (- (log (* (- x y) (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (log (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (exp (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (* (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))) (cbrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (* (* (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (- (* (- x y) (+ x y))) (- (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (/ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ x y)) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (* (sqrt (+ 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x)) (* (* y y) (* y y)))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (+ (* y y) (* x y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (+ x y)) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) -1 1 1 -1 1 1 -1 1 1 y x (* -1 x) 1.243 * * [simplify]: iteration 0 : 386 enodes (cost 1720 ) 1.250 * * [simplify]: iteration 1 : 1874 enodes (cost 1414 ) 1.281 * * [simplify]: iteration 2 : 5003 enodes (cost 1315 ) 1.292 * [simplify]: Simplified to: (+ (log (/ (- x y) (+ (* x x) 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y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (+ (* (- (pow y 3)) y) (* (pow x 3) x)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (- x y) (+ (* x x) (* y y))) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ x y) (+ (* x x) (* y y))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) -1 1 1 -1 1 1 -1 1 1 y x (* -1 x) 1.294 * * * [progress]: adding candidates to table 1.758 * * [progress]: iteration 4 / 4 1.758 * * * [progress]: picking best candidate 1.763 * * * * [pick]: Picked # 1.763 * * * [progress]: localizing error 1.788 * * * [progress]: generating rewritten candidates 1.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.889 * * * [progress]: generating series expansions 1.889 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.889 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.889 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.889 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.889 * [taylor]: Taking taylor expansion of (+ x y) in y 1.889 * [taylor]: Taking taylor expansion of x in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.889 * [taylor]: Taking taylor expansion of (- x y) in y 1.889 * [taylor]: Taking taylor expansion of x in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.889 * [taylor]: Taking taylor expansion of x in y 1.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.890 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.890 * [taylor]: Taking taylor expansion of (+ x y) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.890 * [taylor]: Taking taylor expansion of (- x y) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.890 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.891 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.891 * [taylor]: Taking taylor expansion of (+ x y) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of (- x y) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.891 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of -1 in y 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.894 * [taylor]: Taking taylor expansion of 2 in y 1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.904 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.904 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.904 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.904 * [taylor]: Taking taylor expansion of x in y 1.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.904 * [taylor]: Taking taylor expansion of y in y 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.905 * [taylor]: Taking taylor expansion of x in y 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.905 * [taylor]: Taking taylor expansion of x in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.907 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.907 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.907 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.907 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.908 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.908 * [taylor]: Taking taylor expansion of y in x 1.910 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.910 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.910 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.910 * [taylor]: Taking taylor expansion of y in x 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.910 * [taylor]: Taking taylor expansion of y in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.911 * [taylor]: Taking taylor expansion of y in x 1.912 * [taylor]: Taking taylor expansion of 1 in y 1.915 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.919 * [taylor]: Taking taylor expansion of 2 in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.919 * [taylor]: Taking taylor expansion of y in y 1.926 * [taylor]: Taking taylor expansion of 0 in y 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.927 * [taylor]: Taking taylor expansion of -1 in y 1.927 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.927 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.927 * [taylor]: Taking taylor expansion of y in y 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.927 * [taylor]: Taking taylor expansion of x in y 1.928 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.928 * [taylor]: Taking taylor expansion of x in y 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.928 * [taylor]: Taking taylor expansion of x in y 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.930 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.930 * [taylor]: Taking taylor expansion of -1 in x 1.930 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.930 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.931 * [taylor]: Taking taylor expansion of y in x 1.933 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.933 * [taylor]: Taking taylor expansion of -1 in x 1.933 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.933 * [taylor]: Taking taylor expansion of y in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.933 * [taylor]: Taking taylor expansion of y in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.934 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of 1 in y 1.939 * [taylor]: Taking taylor expansion of 0 in y 1.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.943 * [taylor]: Taking taylor expansion of 2 in y 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.943 * [taylor]: Taking taylor expansion of y in y 1.951 * [taylor]: Taking taylor expansion of 0 in y 1.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.952 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.952 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.952 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.952 * [taylor]: Taking taylor expansion of (+ x y) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [taylor]: Taking taylor expansion of (- x y) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.952 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.952 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.952 * [taylor]: Taking taylor expansion of (+ x y) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of (- x y) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.953 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.953 * [taylor]: Taking taylor expansion of (+ x y) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of (- x y) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of -1 in y 1.955 * [taylor]: Taking taylor expansion of 0 in y 1.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.957 * [taylor]: Taking taylor expansion of 2 in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [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 1.962 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.962 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.962 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.962 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.965 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.965 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.965 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.968 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.968 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.968 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.968 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.969 * [taylor]: Taking taylor expansion of y in x 1.970 * [taylor]: Taking taylor expansion of 1 in y 1.973 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.977 * [taylor]: Taking taylor expansion of 2 in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.987 * [taylor]: Taking taylor expansion of 0 in y 1.987 * [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 1.987 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.987 * [taylor]: Taking taylor expansion of -1 in y 1.987 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.988 * [taylor]: Taking taylor expansion of x in y 1.988 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.988 * [taylor]: Taking taylor expansion of x in y 1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.988 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.988 * [taylor]: Taking taylor expansion of x in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.990 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.990 * [taylor]: Taking taylor expansion of -1 in x 1.990 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.994 * [taylor]: Taking taylor expansion of y in x 1.996 * [taylor]: Taking taylor expansion of 1 in y 1.999 * [taylor]: Taking taylor expansion of 0 in y 2.003 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.003 * [taylor]: Taking taylor expansion of 2 in y 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.003 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of 0 in y 2.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.012 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.012 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.012 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.012 * [taylor]: Taking taylor expansion of (+ x y) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (- x y) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.013 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.013 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.013 * [taylor]: Taking taylor expansion of (+ x y) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (- x y) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.013 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.013 * [taylor]: Taking taylor expansion of (+ x y) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (- x y) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [taylor]: Taking taylor expansion of -1 in y 2.015 * [taylor]: Taking taylor expansion of 0 in y 2.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.017 * [taylor]: Taking taylor expansion of 2 in y 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.017 * [taylor]: Taking taylor expansion of y in y 2.022 * [taylor]: Taking taylor expansion of 0 in y 2.023 * [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 2.023 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.023 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.023 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.023 * [taylor]: Taking taylor expansion of x in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.023 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.023 * [taylor]: Taking taylor expansion of x in y 2.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.023 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.024 * [taylor]: Taking taylor expansion of x in y 2.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.024 * [taylor]: Taking taylor expansion of y in y 2.026 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.026 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.026 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.028 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.028 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.028 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.031 * [taylor]: Taking taylor expansion of 1 in y 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.037 * [taylor]: Taking taylor expansion of 2 in y 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.045 * [taylor]: Taking taylor expansion of 0 in y 2.045 * [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 2.045 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.045 * [taylor]: Taking taylor expansion of -1 in y 2.045 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.046 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.046 * [taylor]: Taking taylor expansion of x in y 2.046 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.046 * [taylor]: Taking taylor expansion of x in y 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.046 * [taylor]: Taking taylor expansion of x in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.048 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.048 * [taylor]: Taking taylor expansion of -1 in x 2.048 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.048 * [taylor]: Taking taylor expansion of y in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.051 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.051 * [taylor]: Taking taylor expansion of -1 in x 2.051 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.051 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.051 * [taylor]: Taking taylor expansion of y in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.051 * [taylor]: Taking taylor expansion of y in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.052 * [taylor]: Taking taylor expansion of y in x 2.054 * [taylor]: Taking taylor expansion of 1 in y 2.057 * [taylor]: Taking taylor expansion of 0 in y 2.062 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.062 * [taylor]: Taking taylor expansion of 2 in y 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.062 * [taylor]: Taking taylor expansion of y in y 2.072 * [taylor]: Taking taylor expansion of 0 in y 2.072 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.073 * [taylor]: Taking taylor expansion of x in y 2.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.073 * [taylor]: Taking taylor expansion of y in x 2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.074 * [taylor]: Taking taylor expansion of y in x 2.074 * [taylor]: Taking taylor expansion of y in y 2.075 * [taylor]: Taking taylor expansion of 0 in y 2.076 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.076 * [taylor]: Taking taylor expansion of 1/2 in y 2.076 * [taylor]: Taking taylor expansion of y in y 2.078 * [taylor]: Taking taylor expansion of 0 in y 2.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.079 * [taylor]: Taking taylor expansion of x in y 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.079 * [taylor]: Taking taylor expansion of y in y 2.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.086 * [taylor]: Taking taylor expansion of 1 in y 2.086 * [taylor]: Taking taylor expansion of 0 in y 2.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.088 * [taylor]: Taking taylor expansion of 1/2 in y 2.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.091 * [taylor]: Taking taylor expansion of 0 in y 2.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.092 * [taylor]: Taking taylor expansion of x in y 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.093 * [taylor]: Taking taylor expansion of y in y 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.098 * [taylor]: Taking taylor expansion of y in x 2.100 * [taylor]: Taking taylor expansion of 1 in y 2.100 * [taylor]: Taking taylor expansion of 0 in y 2.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.102 * [taylor]: Taking taylor expansion of 1/2 in y 2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.105 * [taylor]: Taking taylor expansion of 0 in y 2.106 * * * [progress]: simplifying candidates 2.109 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))))) (- (+ (log (- x y)) (log (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (- (+ (log (- x y)) (log (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (- (log (* (- x y) (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))))) (- (log (* (- x y) (+ x y))) (+ (log (sqrt (+ (* x x) (* y y)))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (- (log (* (- x y) (+ x y))) (log (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (log (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (exp (/ (* (- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* 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x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) -1 1 1 -1 1 1 -1 1 1 y x (* -1 x) 2.187 * * * [progress]: adding candidates to table 2.846 * [progress]: [Phase 3 of 3] Extracting. 2.846 * * [regime]: Finding splitpoints for: (# # # # #) 2.849 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 2.849 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # # #) 2.870 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.905 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.936 * * * [regime]: Found split indices: #