0.536 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.027 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.032 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.036 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.055 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.093 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.093 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.123 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.123 * [taylor]: Taking taylor expansion of (+ x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (- x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.124 * [taylor]: Taking taylor expansion of (+ x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (- x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (- x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of 2 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [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 0.134 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of 2 in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [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 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [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 0.194 * [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 0.195 * [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 0.196 * [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 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying using # : (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (+ (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)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.220 * * [simplify]: iteration 0 : 322 enodes (cost 380 ) 0.228 * * [simplify]: iteration 1 : 1875 enodes (cost 324 ) 0.259 * * [simplify]: iteration 2 : 5001 enodes (cost 308 ) 0.261 * [simplify]: Simplified to: (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- 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)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (exp (/ (- x y) (fma x x (* y y)))) (+ x y)) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x 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) (/ (fma x x (* y y)) (- x 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) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (* (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (- x y)) (/ 1 (+ (* x x) (* y y))) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.261 * * * [progress]: adding candidates to table 0.390 * * [progress]: iteration 2 / 4 0.390 * * * [progress]: picking best candidate 0.395 * * * * [pick]: Picked # 0.395 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.413 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.416 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.419 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 0.419 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.419 * [taylor]: Taking taylor expansion of (+ x y) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (- x y) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.420 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.420 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.420 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.420 * [taylor]: Taking taylor expansion of (* x x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (* y y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.422 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.422 * [taylor]: Taking taylor expansion of (+ x y) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (- x y) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.422 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.422 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.422 * [taylor]: Taking taylor expansion of (* x x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* y y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.423 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.423 * [taylor]: Taking taylor expansion of (+ x y) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (- x y) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.423 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.423 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.423 * [taylor]: Taking taylor expansion of (* x x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* y y) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [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 0.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of 2 in y 0.429 * [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 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 0.435 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.436 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.436 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.436 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.436 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.441 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.442 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.442 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.442 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.446 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.447 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.447 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.459 * [taylor]: Taking taylor expansion of 2 in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 0.474 * [taylor]: Taking taylor expansion of -1 in y 0.474 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 0.474 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.475 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.475 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.475 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.475 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.480 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.480 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.486 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.486 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.486 * [taylor]: Taking taylor expansion of -1 in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.487 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 2 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.511 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 0.511 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.511 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.511 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.511 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.511 * [taylor]: Taking taylor expansion of (* x x) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* y y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.512 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.512 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.512 * [taylor]: Taking taylor expansion of (* x x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* y y) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.514 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.514 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.514 * [taylor]: Taking taylor expansion of (* x x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* y y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.522 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.526 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.529 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.529 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.529 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.546 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.546 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.546 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.547 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.547 * [taylor]: Taking taylor expansion of -1 in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.547 * [taylor]: Taking taylor expansion of -1 in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.550 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.558 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.559 * [taylor]: Taking taylor expansion of -1 in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.559 * [taylor]: Taking taylor expansion of -1 in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.559 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.559 * [taylor]: Taking taylor expansion of -1 in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.559 * [taylor]: Taking taylor expansion of -1 in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.577 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.577 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.577 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.577 * [taylor]: Taking taylor expansion of (* x x) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (* y y) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.578 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.578 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.578 * [taylor]: Taking taylor expansion of (* x x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* y y) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.580 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.580 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.580 * [taylor]: Taking taylor expansion of (* x x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* y y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.582 * [taylor]: Taking taylor expansion of 1/2 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.585 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.585 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.589 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.589 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.589 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.592 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.592 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of 1 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of 1/2 in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.603 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.603 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.604 * [taylor]: Taking taylor expansion of -1 in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.604 * [taylor]: Taking taylor expansion of -1 in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.604 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.604 * [taylor]: Taking taylor expansion of -1 in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.604 * [taylor]: Taking taylor expansion of -1 in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.607 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.607 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.607 * [taylor]: Taking taylor expansion of -1 in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.611 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of 1 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of 1/2 in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.623 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.623 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.623 * [taylor]: Taking taylor expansion of (* x x) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (* y y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.624 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.624 * [taylor]: Taking taylor expansion of (* x x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* y y) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.625 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.625 * [taylor]: Taking taylor expansion of (* x x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (* y y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.628 * [taylor]: Taking taylor expansion of 1/2 in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.631 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.631 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of 1 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of 1/2 in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.655 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.659 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.659 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.663 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.663 * [taylor]: Taking taylor expansion of -1 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.664 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of 1 in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of 1/2 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.674 * * * [progress]: simplifying candidates 0.676 * [simplify]: Simplifying using # : (expm1 (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log1p (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (- (+ (log (- x y)) (log (+ x y))) (+ (log (hypot x y)) (log (hypot x y)))) (- (+ (log (- x y)) (log (+ x y))) (log (* (hypot x y) (hypot x y)))) (- (log (* (- x y) (+ x y))) (+ (log (hypot x y)) (log (hypot x y)))) (- (log (* (- x y) (+ x y))) (log (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (exp (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y)))) (* (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))))) (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (* (* (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (sqrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (sqrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (- (* (- x y) (+ x y))) (- (* (hypot x y) (hypot x y))) (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)) (/ 1 (* (hypot x y) (hypot x y))) (/ (* (hypot x y) (hypot x y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (hypot x y)) (/ (* (hypot x y) (hypot x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (* (hypot x y) (hypot x y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (* (hypot x y) (hypot x y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (* (hypot x y) (hypot x y)) (* (+ x y) (- x y))) (* (* (hypot x y) (hypot x y)) (+ (* x x) (- (* y y) (* x y)))) (* (* (hypot x y) (hypot x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (+ (* x x) (+ (* y y) (* x y)))) (* (* (hypot x y) (hypot x y)) (+ x y)) (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) (+ 1 1) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (hypot x y)) (log (hypot x y))) (log (* (hypot x y) (hypot x y))) (exp (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (hypot x y) (hypot x y))) (sqrt (* (hypot x y) (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 1 1) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 2 1) (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (hypot x y) 1) (* (cbrt (hypot x y)) (hypot x y)) (* (sqrt (hypot x y)) (hypot x y)) (* (hypot x y) (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) y x (* -1 x) y x (* -1 x) 0.681 * * [simplify]: iteration 0 : 323 enodes (cost 491 ) 0.688 * * [simplify]: iteration 1 : 1937 enodes (cost 386 ) 0.727 * * [simplify]: iteration 2 : 5002 enodes (cost 382 ) 0.730 * [simplify]: Simplified to: (expm1 (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log1p (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (log (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (exp (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (pow (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) 3) (pow (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) 3) (pow (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) 3) (pow (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))))) (cbrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (pow (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y))) 3) (sqrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (sqrt (/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))) (- (* (- x y) (+ x y))) (- (* (hypot x y) (hypot x y))) (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)) (/ 1 (* (hypot x y) (hypot x y))) (/ (* (hypot x y) (hypot x y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (hypot x y)) (/ (* (hypot x y) (hypot x y)) (+ x y)) (* (hypot x y) (* (* (hypot x y) (fma x x (fma y y (* x y)))) (fma y (- y x) (pow x 2)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (* (hypot x y) (hypot x y))) (* (hypot x y) (* (* (hypot x y) (+ x y)) (fma y (- y x) (pow x 2)))) (* (* (hypot x y) (hypot x y)) (* (+ x y) (- x y))) (* (* (fma y (- y x) (pow x 2)) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (- x y)) (* (hypot x y) (* (hypot x y) (fma x x (fma y y (* x y))))) (* (* (hypot x y) (hypot x y)) (+ x y)) (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) 2 (* (hypot x y) (hypot x y)) 2 (* 2 (log (hypot x y))) (* 2 (log (hypot x y))) (exp (* (hypot x y) (hypot x y))) (pow (* (hypot x y) (hypot x y)) 3) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (pow (* (hypot x y) (hypot x y)) 3) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (fabs (hypot x y)) (fabs (hypot x y)) (pow (cbrt (hypot x y)) 4) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y) (hypot x y) 1 (* (hypot x y) (hypot x y)) (hypot x y) (hypot x y) 2 (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (pow (sqrt (hypot x y)) 3) (hypot x y) (pow (cbrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 3) (* (hypot x y) (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) y x (* -1 x) y x (* -1 x) 0.730 * * * [progress]: adding candidates to table 0.915 * * [progress]: iteration 3 / 4 0.915 * * * [progress]: picking best candidate 0.919 * * * * [pick]: Picked # 0.919 * * * [progress]: localizing error 0.927 * * * [progress]: generating rewritten candidates 0.927 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.974 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.979 * * * [progress]: generating series expansions 0.980 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.980 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 0.980 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.980 * [taylor]: Taking taylor expansion of (+ x y) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (- x y) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.980 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.980 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.980 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.980 * [taylor]: Taking taylor expansion of (* x x) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (* y y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.982 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.982 * [taylor]: Taking taylor expansion of (+ x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (- x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.982 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.982 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.982 * [taylor]: Taking taylor expansion of (* x x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (* y y) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.984 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.984 * [taylor]: Taking taylor expansion of (+ x y) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (- x y) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.984 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.984 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.984 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.984 * [taylor]: Taking taylor expansion of (* x x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* y y) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of -1 in y 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of 2 in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.996 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 0.996 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.997 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.997 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.997 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.001 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.002 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.002 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.002 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.007 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.008 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.008 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.008 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of 1 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.025 * [taylor]: Taking taylor expansion of 2 in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.035 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.035 * [taylor]: Taking taylor expansion of -1 in y 1.035 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.035 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.036 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.036 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.036 * [taylor]: Taking taylor expansion of -1 in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.036 * [taylor]: Taking taylor expansion of -1 in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.036 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.036 * [taylor]: Taking taylor expansion of -1 in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.036 * [taylor]: Taking taylor expansion of -1 in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.041 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.041 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.041 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.046 * [taylor]: Taking taylor expansion of -1 in x 1.046 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.046 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of 1 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.061 * [taylor]: Taking taylor expansion of 2 in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of 0 in y 1.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.072 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.072 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.072 * [taylor]: Taking taylor expansion of (- x y) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.072 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.072 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.072 * [taylor]: Taking taylor expansion of (* x x) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (* y y) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.073 * [taylor]: Taking taylor expansion of (- x y) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.074 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.074 * [taylor]: Taking taylor expansion of (* x x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* y y) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.075 * [taylor]: Taking taylor expansion of (- x y) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.075 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.075 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.075 * [taylor]: Taking taylor expansion of (* x x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (* y y) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of -1 in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.080 * [taylor]: Taking taylor expansion of 1/2 in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.085 * [taylor]: Taking taylor expansion of 1/2 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.091 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.091 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.091 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.091 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.101 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.101 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 1 in y 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.115 * [taylor]: Taking taylor expansion of 1/2 in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.124 * [taylor]: Taking taylor expansion of 1/2 in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.124 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.129 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.129 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.129 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.130 * [taylor]: Taking taylor expansion of x in y 1.130 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.130 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.130 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.130 * [taylor]: Taking taylor expansion of -1 in y 1.130 * [taylor]: Taking taylor expansion of x in y 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.130 * [taylor]: Taking taylor expansion of -1 in y 1.130 * [taylor]: Taking taylor expansion of x in y 1.130 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.130 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.130 * [taylor]: Taking taylor expansion of -1 in y 1.130 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.130 * [taylor]: Taking taylor expansion of -1 in y 1.130 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.134 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.134 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.135 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of y in x 1.135 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of y in x 1.138 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.139 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.139 * [taylor]: Taking taylor expansion of -1 in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.140 * [taylor]: Taking taylor expansion of -1 in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.140 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.140 * [taylor]: Taking taylor expansion of -1 in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.140 * [taylor]: Taking taylor expansion of -1 in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of -1 in y 1.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of 1/2 in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.157 * [taylor]: Taking taylor expansion of 1/2 in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.157 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.162 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.163 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 1.163 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.163 * [taylor]: Taking taylor expansion of (+ x y) in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.163 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.163 * [taylor]: Taking taylor expansion of (* x x) in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of (* y y) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.164 * [taylor]: Taking taylor expansion of (+ x y) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.164 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.164 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.164 * [taylor]: Taking taylor expansion of (* x x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (* y y) in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.165 * [taylor]: Taking taylor expansion of (+ x y) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.166 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.166 * [taylor]: Taking taylor expansion of (* x x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (* y y) in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of 1 in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.167 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.170 * [taylor]: Taking taylor expansion of 1/2 in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.175 * [taylor]: Taking taylor expansion of 1/2 in y 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.175 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.181 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.374 * [taylor]: Taking taylor expansion of x in y 1.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.375 * [taylor]: Taking taylor expansion of x in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.375 * [taylor]: Taking taylor expansion of x in y 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.378 * [taylor]: Taking taylor expansion of y in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.379 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.379 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.382 * [taylor]: Taking taylor expansion of y in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.383 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.383 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.383 * [taylor]: Taking taylor expansion of y in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.383 * [taylor]: Taking taylor expansion of y in x 1.387 * [taylor]: Taking taylor expansion of 1 in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.392 * [taylor]: Taking taylor expansion of 1/2 in y 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.392 * [taylor]: Taking taylor expansion of y in y 1.400 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.400 * [taylor]: Taking taylor expansion of 1/2 in y 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.400 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.406 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.406 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.406 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.406 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.407 * [taylor]: Taking taylor expansion of -1 in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.407 * [taylor]: Taking taylor expansion of -1 in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.410 * [taylor]: Taking taylor expansion of -1 in x 1.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.412 * [taylor]: Taking taylor expansion of -1 in x 1.412 * [taylor]: Taking taylor expansion of y in x 1.412 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.412 * [taylor]: Taking taylor expansion of -1 in x 1.412 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.415 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.415 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.415 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.421 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.426 * [taylor]: Taking taylor expansion of 1/2 in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.434 * [taylor]: Taking taylor expansion of 1/2 in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.434 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.440 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.440 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.440 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.440 * [taylor]: Taking taylor expansion of (* x x) in y 1.440 * [taylor]: Taking taylor expansion of x in y 1.440 * [taylor]: Taking taylor expansion of x in y 1.440 * [taylor]: Taking taylor expansion of (* y y) in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.441 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.441 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.441 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.441 * [taylor]: Taking taylor expansion of (* x x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (* y y) in x 1.441 * [taylor]: Taking taylor expansion of y in x 1.441 * [taylor]: Taking taylor expansion of y in x 1.442 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.442 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.442 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.442 * [taylor]: Taking taylor expansion of (* x x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (* y y) in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.445 * [taylor]: Taking taylor expansion of 1/2 in y 1.445 * [taylor]: Taking taylor expansion of y in y 1.447 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.448 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.448 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.448 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.448 * [taylor]: Taking taylor expansion of x in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.448 * [taylor]: Taking taylor expansion of x in y 1.448 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.451 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.452 * [taylor]: Taking taylor expansion of y in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.452 * [taylor]: Taking taylor expansion of y in x 1.454 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.454 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.461 * [taylor]: Taking taylor expansion of 1 in y 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.464 * [taylor]: Taking taylor expansion of 1/2 in y 1.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.467 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.469 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.469 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.469 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.469 * [taylor]: Taking taylor expansion of -1 in y 1.469 * [taylor]: Taking taylor expansion of x in y 1.469 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.469 * [taylor]: Taking taylor expansion of -1 in y 1.469 * [taylor]: Taking taylor expansion of x in y 1.469 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.469 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.469 * [taylor]: Taking taylor expansion of -1 in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.469 * [taylor]: Taking taylor expansion of -1 in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.472 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.472 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.472 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.473 * [taylor]: Taking taylor expansion of -1 in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.473 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.473 * [taylor]: Taking taylor expansion of -1 in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.473 * [taylor]: Taking taylor expansion of -1 in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.476 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.476 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.476 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.476 * [taylor]: Taking taylor expansion of -1 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.476 * [taylor]: Taking taylor expansion of -1 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [taylor]: Taking taylor expansion of y in x 1.477 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [taylor]: Taking taylor expansion of y in x 1.479 * [taylor]: Taking taylor expansion of 1 in y 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.482 * [taylor]: Taking taylor expansion of 1/2 in y 1.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.482 * [taylor]: Taking taylor expansion of y in y 1.486 * [taylor]: Taking taylor expansion of 0 in y 1.487 * * * [progress]: simplifying candidates 1.489 * [simplify]: Simplifying using # : (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (+ (- (log (- x y)) (log (hypot x y))) (- (log (+ x y)) (log (hypot x y)))) (+ (- (log (- x y)) (log (hypot x y))) (log (/ (+ x y) (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (- (log (+ x y)) (log (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (log (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) 1) (* (/ (- x y) (hypot x y)) (+ x y)) (* (cbrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (sqrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ 1 (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (+ x y)) (* (- x y) (/ (+ x y) (hypot x y))) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (- (log (- x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (/ (- x y) 1) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y)))) (* (hypot x y) (+ x y)) (expm1 (/ (+ x y) (hypot x y))) (log1p (/ (+ x y) (hypot x y))) (- (log (+ x y)) (log (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (cbrt (/ (+ x y) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (/ (cbrt (+ x y)) (sqrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) 1) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (hypot x y) (+ (* x x) (- (* y y) (* x y)))) (* (hypot x y) (- x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) -1 1 1 -1 1 -1 1 1 -1 y x (* -1 x) 1.495 * * [simplify]: iteration 0 : 491 enodes (cost 1105 ) 1.504 * * [simplify]: iteration 1 : 2109 enodes (cost 999 ) 1.534 * * [simplify]: iteration 2 : 5003 enodes (cost 997 ) 1.539 * [simplify]: Simplified to: (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (cbrt (* 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(hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y)))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (* (cbrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (sqrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (* (hypot x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (+ x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- y x) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) (expm1 (/ (+ x y) (hypot x y))) (log1p (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (cbrt (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (/ (cbrt (+ x y)) (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (+ x y) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (fma x x (- (* y y) (* x y))) (hypot x y)) (* (hypot x y) (- x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) -1 1 1 -1 1 -1 1 1 -1 y x (* -1 x) 1.540 * * * [progress]: adding candidates to table 1.839 * * [progress]: iteration 4 / 4 1.839 * * * [progress]: picking best candidate 1.846 * * * * [pick]: Picked # 1.846 * * * [progress]: localizing error 1.861 * * * [progress]: generating rewritten candidates 1.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.888 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.911 * * * [progress]: generating series expansions 1.911 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.911 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.911 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.911 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.911 * [taylor]: Taking taylor expansion of (+ x y) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [taylor]: Taking taylor expansion of (- x y) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.911 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.912 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.912 * [taylor]: Taking taylor expansion of (* x x) in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [taylor]: Taking taylor expansion of (* y y) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.913 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.913 * [taylor]: Taking taylor expansion of (+ x y) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of (- x y) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.914 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.914 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.914 * [taylor]: Taking taylor expansion of (* x x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (* y y) in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.915 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.915 * [taylor]: Taking taylor expansion of (+ x y) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of (- x y) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.915 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.915 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.915 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.915 * [taylor]: Taking taylor expansion of (* x x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (* y y) in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.917 * [taylor]: Taking taylor expansion of -1 in y 1.918 * [taylor]: Taking taylor expansion of 0 in y 1.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.921 * [taylor]: Taking taylor expansion of 2 in y 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.930 * [taylor]: Taking taylor expansion of 0 in y 1.930 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.930 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.930 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.931 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.931 * [taylor]: Taking taylor expansion of x in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.931 * [taylor]: Taking taylor expansion of y in y 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.931 * [taylor]: Taking taylor expansion of y in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.931 * [taylor]: Taking taylor expansion of x in y 1.931 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.931 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.931 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.931 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.931 * [taylor]: Taking taylor expansion of x in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.931 * [taylor]: Taking taylor expansion of x in y 1.932 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.936 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.936 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.936 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.937 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.937 * [taylor]: Taking taylor expansion of y in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.938 * [taylor]: Taking taylor expansion of y in x 1.941 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.941 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.941 * [taylor]: Taking taylor expansion of y in x 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.942 * [taylor]: Taking taylor expansion of y in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.942 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.942 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.943 * [taylor]: Taking taylor expansion of y in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.943 * [taylor]: Taking taylor expansion of y in x 1.947 * [taylor]: Taking taylor expansion of 1 in y 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.954 * [taylor]: Taking taylor expansion of 2 in y 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.964 * [taylor]: Taking taylor expansion of 0 in y 1.964 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.964 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.964 * [taylor]: Taking taylor expansion of -1 in y 1.964 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.964 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.965 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.965 * [taylor]: Taking taylor expansion of y in y 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.965 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.965 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.965 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.965 * [taylor]: Taking taylor expansion of -1 in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.965 * [taylor]: Taking taylor expansion of -1 in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.965 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.965 * [taylor]: Taking taylor expansion of -1 in y 1.965 * [taylor]: Taking taylor expansion of y in y 1.966 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.966 * [taylor]: Taking taylor expansion of -1 in y 1.966 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.971 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of y in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of y in x 1.975 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.975 * [taylor]: Taking taylor expansion of -1 in x 1.975 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.975 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.976 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.976 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.981 * [taylor]: Taking taylor expansion of 1 in y 1.984 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.990 * [taylor]: Taking taylor expansion of 2 in y 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.990 * [taylor]: Taking taylor expansion of y in y 2.001 * [taylor]: Taking taylor expansion of 0 in y 2.001 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.001 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 2.001 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 2.001 * [taylor]: Taking taylor expansion of (- x y) in y 2.001 * [taylor]: Taking taylor expansion of x in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.001 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.001 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.001 * [taylor]: Taking taylor expansion of (* x x) in y 2.001 * [taylor]: Taking taylor expansion of x in y 2.001 * [taylor]: Taking taylor expansion of x in y 2.001 * [taylor]: Taking taylor expansion of (* y y) in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.003 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 2.003 * [taylor]: Taking taylor expansion of (- x y) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.003 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.003 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.003 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.003 * [taylor]: Taking taylor expansion of (* x x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (* y y) in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.004 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 2.004 * [taylor]: Taking taylor expansion of (- x y) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of y in x 2.004 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.004 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.004 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.004 * [taylor]: Taking taylor expansion of (* x x) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of (* y y) in x 2.004 * [taylor]: Taking taylor expansion of y in x 2.004 * [taylor]: Taking taylor expansion of y in x 2.006 * [taylor]: Taking taylor expansion of -1 in y 2.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.006 * [taylor]: Taking taylor expansion of y in y 2.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.009 * [taylor]: Taking taylor expansion of 1/2 in y 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.009 * [taylor]: Taking taylor expansion of y in y 2.016 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.016 * [taylor]: Taking taylor expansion of 1/2 in y 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.017 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.017 * [taylor]: Taking taylor expansion of y in y 2.022 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 2.022 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.022 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.022 * [taylor]: Taking taylor expansion of x in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.022 * [taylor]: Taking taylor expansion of y in y 2.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.023 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) 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 x) in y 2.023 * [taylor]: Taking taylor expansion of x in y 2.023 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) 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) in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.027 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.027 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.028 * [taylor]: Taking taylor expansion of y in x 2.031 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.031 * [taylor]: Taking taylor expansion of y in x 2.031 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.031 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.031 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.031 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.035 * [taylor]: Taking taylor expansion of 1 in y 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.041 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.041 * [taylor]: Taking taylor expansion of 1/2 in y 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.041 * [taylor]: Taking taylor expansion of y in y 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.050 * [taylor]: Taking taylor expansion of 1/2 in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.050 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.055 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 2.055 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.055 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.055 * [taylor]: Taking taylor expansion of y in y 2.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.056 * [taylor]: Taking taylor expansion of x in y 2.056 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.056 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.056 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.056 * [taylor]: Taking taylor expansion of x in y 2.056 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.056 * [taylor]: Taking taylor expansion of x in y 2.056 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.056 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.060 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.060 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.060 * [taylor]: Taking taylor expansion of y in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.060 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.060 * [taylor]: Taking taylor expansion of -1 in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.061 * [taylor]: Taking taylor expansion of -1 in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.061 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.061 * [taylor]: Taking taylor expansion of -1 in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.061 * [taylor]: Taking taylor expansion of -1 in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.064 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.064 * [taylor]: Taking taylor expansion of y in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.065 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.065 * [taylor]: Taking taylor expansion of -1 in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.065 * [taylor]: Taking taylor expansion of -1 in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.066 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.066 * [taylor]: Taking taylor expansion of -1 in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.066 * [taylor]: Taking taylor expansion of -1 in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.069 * [taylor]: Taking taylor expansion of -1 in y 2.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.070 * [taylor]: Taking taylor expansion of y in y 2.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.075 * [taylor]: Taking taylor expansion of 1/2 in y 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.083 * [taylor]: Taking taylor expansion of 1/2 in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.083 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.089 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.089 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 2.089 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 2.089 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.089 * [taylor]: Taking taylor expansion of (+ x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (- x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 2.089 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.089 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.089 * [taylor]: Taking taylor expansion of (* x x) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of (* y y) in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.091 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.091 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.091 * [taylor]: Taking taylor expansion of (+ x y) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of (- x y) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.091 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.091 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.091 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.091 * [taylor]: Taking taylor expansion of (* x x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (* y y) in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.093 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.093 * [taylor]: Taking taylor expansion of (+ x y) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (- x y) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.093 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.093 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.093 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.093 * [taylor]: Taking taylor expansion of (* x x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (* y y) in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.094 * [taylor]: Taking taylor expansion of -1 in y 2.098 * [taylor]: Taking taylor expansion of 0 in y 2.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.101 * [taylor]: Taking taylor expansion of 2 in y 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.107 * [taylor]: Taking taylor expansion of 0 in y 2.107 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 2.107 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 2.107 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.108 * [taylor]: Taking taylor expansion of x in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.108 * [taylor]: Taking taylor expansion of x in y 2.108 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 2.108 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.108 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.108 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.108 * [taylor]: Taking taylor expansion of x in y 2.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.109 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.109 * [taylor]: Taking taylor expansion of y in y 2.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.109 * [taylor]: Taking taylor expansion of y in y 2.113 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.113 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.113 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.114 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.114 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.118 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.118 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.118 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.119 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.119 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.120 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.120 * [taylor]: Taking taylor expansion of y in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.120 * [taylor]: Taking taylor expansion of y in x 2.123 * [taylor]: Taking taylor expansion of 1 in y 2.125 * [taylor]: Taking taylor expansion of 0 in y 2.131 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.131 * [taylor]: Taking taylor expansion of 2 in y 2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.131 * [taylor]: Taking taylor expansion of y in y 2.140 * [taylor]: Taking taylor expansion of 0 in y 2.141 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 2.141 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 2.141 * [taylor]: Taking taylor expansion of -1 in y 2.141 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 2.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.141 * [taylor]: Taking taylor expansion of y in y 2.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.141 * [taylor]: Taking taylor expansion of x in y 2.141 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.141 * [taylor]: Taking taylor expansion of y in y 2.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.142 * [taylor]: Taking taylor expansion of x in y 2.142 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 2.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.142 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.142 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.142 * [taylor]: Taking taylor expansion of -1 in y 2.142 * [taylor]: Taking taylor expansion of x in y 2.142 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.142 * [taylor]: Taking taylor expansion of -1 in y 2.142 * [taylor]: Taking taylor expansion of x in y 2.142 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.142 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.142 * [taylor]: Taking taylor expansion of -1 in y 2.142 * [taylor]: Taking taylor expansion of y in y 2.142 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.142 * [taylor]: Taking taylor expansion of -1 in y 2.142 * [taylor]: Taking taylor expansion of y in y 2.146 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.146 * [taylor]: Taking taylor expansion of -1 in x 2.146 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.146 * [taylor]: Taking taylor expansion of y in x 2.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.147 * [taylor]: Taking taylor expansion of y in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.147 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.147 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.147 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.147 * [taylor]: Taking taylor expansion of -1 in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.148 * [taylor]: Taking taylor expansion of -1 in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.148 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.148 * [taylor]: Taking taylor expansion of -1 in x 2.148 * [taylor]: Taking taylor expansion of y in x 2.148 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.148 * [taylor]: Taking taylor expansion of -1 in x 2.148 * [taylor]: Taking taylor expansion of y in x 2.152 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.152 * [taylor]: Taking taylor expansion of -1 in x 2.152 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.152 * [taylor]: Taking taylor expansion of y in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.153 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.153 * [taylor]: Taking taylor expansion of y in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.153 * [taylor]: Taking taylor expansion of x in x 2.153 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.153 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.153 * [taylor]: Taking taylor expansion of -1 in x 2.153 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.154 * [taylor]: Taking taylor expansion of -1 in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.154 * [taylor]: Taking taylor expansion of -1 in x 2.154 * [taylor]: Taking taylor expansion of y in x 2.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.154 * [taylor]: Taking taylor expansion of -1 in x 2.154 * [taylor]: Taking taylor expansion of y in x 2.158 * [taylor]: Taking taylor expansion of 1 in y 2.161 * [taylor]: Taking taylor expansion of 0 in y 2.167 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.167 * [taylor]: Taking taylor expansion of 2 in y 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.167 * [taylor]: Taking taylor expansion of y in y 2.177 * [taylor]: Taking taylor expansion of 0 in y 2.177 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.178 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 2.178 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 2.178 * [taylor]: Taking taylor expansion of (+ x y) in y 2.178 * [taylor]: Taking taylor expansion of x in y 2.178 * [taylor]: Taking taylor expansion of y in y 2.178 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.178 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.178 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.178 * [taylor]: Taking taylor expansion of (* x x) in y 2.178 * [taylor]: Taking taylor expansion of x in y 2.178 * [taylor]: Taking taylor expansion of x in y 2.178 * [taylor]: Taking taylor expansion of (* y y) in y 2.178 * [taylor]: Taking taylor expansion of y in y 2.178 * [taylor]: Taking taylor expansion of y in y 2.181 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 2.181 * [taylor]: Taking taylor expansion of (+ x y) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of y in x 2.182 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.182 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.182 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.182 * [taylor]: Taking taylor expansion of (* x x) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (* y y) in x 2.182 * [taylor]: Taking taylor expansion of y in x 2.182 * [taylor]: Taking taylor expansion of y in x 2.183 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 2.183 * [taylor]: Taking taylor expansion of (+ x y) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of y in x 2.183 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.183 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.183 * [taylor]: Taking taylor expansion of (* x x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (* y y) in x 2.183 * [taylor]: Taking taylor expansion of y in x 2.183 * [taylor]: Taking taylor expansion of y in x 2.185 * [taylor]: Taking taylor expansion of 1 in y 2.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.185 * [taylor]: Taking taylor expansion of y in y 2.188 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.188 * [taylor]: Taking taylor expansion of 1/2 in y 2.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.188 * [taylor]: Taking taylor expansion of y in y 2.193 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.193 * [taylor]: Taking taylor expansion of 1/2 in y 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.193 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.193 * [taylor]: Taking taylor expansion of y in y 2.199 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 2.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.199 * [taylor]: Taking taylor expansion of y in y 2.199 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.199 * [taylor]: Taking taylor expansion of x in y 2.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.200 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.200 * [taylor]: Taking taylor expansion of x in y 2.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.200 * [taylor]: Taking taylor expansion of x in y 2.200 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.203 * [taylor]: Taking taylor expansion of y in x 2.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.204 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.204 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.204 * [taylor]: Taking taylor expansion of y in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.204 * [taylor]: Taking taylor expansion of y in x 2.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 2.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.207 * [taylor]: Taking taylor expansion of y in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.208 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.208 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.209 * [taylor]: Taking taylor expansion of y in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.209 * [taylor]: Taking taylor expansion of y in x 2.212 * [taylor]: Taking taylor expansion of 1 in y 2.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.213 * [taylor]: Taking taylor expansion of y in y 2.217 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.217 * [taylor]: Taking taylor expansion of 1/2 in y 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.217 * [taylor]: Taking taylor expansion of y in y 2.225 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.225 * [taylor]: Taking taylor expansion of 1/2 in y 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.225 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.225 * [taylor]: Taking taylor expansion of y in y 2.231 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 2.231 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 2.231 * [taylor]: Taking taylor expansion of -1 in y 2.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.231 * [taylor]: Taking taylor expansion of y in y 2.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.231 * [taylor]: Taking taylor expansion of x in y 2.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.231 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.231 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.232 * [taylor]: Taking taylor expansion of -1 in y 2.232 * [taylor]: Taking taylor expansion of x in y 2.232 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.232 * [taylor]: Taking taylor expansion of -1 in y 2.232 * [taylor]: Taking taylor expansion of x in y 2.232 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.232 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.232 * [taylor]: Taking taylor expansion of -1 in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.232 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.232 * [taylor]: Taking taylor expansion of -1 in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.235 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.235 * [taylor]: Taking taylor expansion of -1 in x 2.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.235 * [taylor]: Taking taylor expansion of y in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.236 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.236 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.236 * [taylor]: Taking taylor expansion of -1 in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.236 * [taylor]: Taking taylor expansion of -1 in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.237 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.237 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.237 * [taylor]: Taking taylor expansion of -1 in x 2.237 * [taylor]: Taking taylor expansion of y in x 2.237 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.237 * [taylor]: Taking taylor expansion of -1 in x 2.237 * [taylor]: Taking taylor expansion of y in x 2.240 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.240 * [taylor]: Taking taylor expansion of -1 in x 2.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.240 * [taylor]: Taking taylor expansion of y in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.240 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.240 * [taylor]: Taking taylor expansion of -1 in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.241 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of y in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of y in x 2.245 * [taylor]: Taking taylor expansion of -1 in y 2.246 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.246 * [taylor]: Taking taylor expansion of y in y 2.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.252 * [taylor]: Taking taylor expansion of 1/2 in y 2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.252 * [taylor]: Taking taylor expansion of y in y 2.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.260 * [taylor]: Taking taylor expansion of 1/2 in y 2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.260 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.260 * [taylor]: Taking taylor expansion of y in y 2.268 * * * [progress]: simplifying candidates 2.270 * [simplify]: Simplifying using # : (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (+ (- (log (- x y)) (log (hypot x y))) (- (log (+ x y)) (log (hypot x y)))) (+ (- (log (- x y)) (log (hypot x y))) (log (/ (+ x y) (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (- (log (+ x y)) (log (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (log (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) 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2.712 * * * * [regimes]: Trying to branch on y from (# # # #) 2.732 * * * * [regimes]: Trying to branch on x from (# # # #) 2.748 * * * [regime]: Found split indices: #