17.899 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.021 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.024 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.027 * * [simplify]: iteration 2 : 78 enodes (cost 9 ) 0.030 * * [simplify]: iteration 3 : 134 enodes (cost 9 ) 0.034 * * [simplify]: iteration 4 : 200 enodes (cost 9 ) 0.039 * * [simplify]: iteration 5 : 233 enodes (cost 9 ) 0.043 * * [simplify]: iteration 6 : 239 enodes (cost 9 ) 0.048 * * [simplify]: iteration 7 : 239 enodes (cost 9 ) 0.048 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.078 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.085 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 4.0 in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 4.0 in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.085 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of 4.0 in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of 4.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of 4.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of 4.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of -1.0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.093 * [taylor]: Taking taylor expansion of 0.5 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of 4.0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of 4.0 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.108 * [taylor]: Taking taylor expansion of 4.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.109 * [taylor]: Taking taylor expansion of 4.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.111 * [taylor]: Taking taylor expansion of 4.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.111 * [taylor]: Taking taylor expansion of 4.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.119 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of 8.0 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of 4.0 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of 4.0 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of 4.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of 4.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.137 * [taylor]: Taking taylor expansion of 4.0 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of 4.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.146 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of 8.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.155 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of 4.0 in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of 4.0 in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of 4.0 in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.156 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of 4.0 in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of 4.0 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of 4.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of 4.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.179 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.179 * [taylor]: Taking taylor expansion of 4.0 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.191 * [taylor]: Taking taylor expansion of 4.0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.192 * [taylor]: Taking taylor expansion of 4.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of 4.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.197 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of 4.0 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.209 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.209 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of 4.0 in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of 4.0 in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of 4.0 in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of 4.0 in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of 4.0 in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of 4.0 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of 4.0 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of 4.0 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.236 * [taylor]: Taking taylor expansion of 4.0 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of 4.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of 4.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of 4.0 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.253 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.261 * * [simplify]: iteration 0 : 254 enodes (cost 719 ) 0.270 * * [simplify]: iteration 1 : 1175 enodes (cost 657 ) 0.303 * * [simplify]: iteration 2 : 5001 enodes (cost 641 ) 0.307 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (pow x 2)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (log (* (fma x x (* (* y 4.0) y)) 1)) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (fma x x (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6)) (fma (pow y 2) (* 4.0 (- (* (* y 4.0) y) (pow x 2))) (pow x 4)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) 0.308 * * * [progress]: adding candidates to table 0.482 * * [progress]: iteration 2 / 4 0.482 * * * [progress]: picking best candidate 0.491 * * * * [pick]: Picked # 0.491 * * * [progress]: localizing error 0.492 * * * [progress]: generating rewritten candidates 0.492 * * * [progress]: generating series expansions 0.492 * * * [progress]: simplifying candidates 0.492 * [simplify]: Simplifying using # : 0.495 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.495 * [simplify]: Simplified to: 0.495 * * * [progress]: adding candidates to table 0.496 * * [progress]: iteration 3 / 4 0.496 * * * [progress]: picking best candidate 0.504 * * * * [pick]: Picked # 0.504 * * * [progress]: localizing error 0.516 * * * [progress]: generating rewritten candidates 0.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.527 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.531 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.532 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.538 * * * [progress]: generating series expansions 0.538 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.538 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.538 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of 4.0 in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of 4.0 in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.539 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.539 * [taylor]: Taking taylor expansion of 4.0 in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.539 * [taylor]: Taking taylor expansion of 4.0 in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.540 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of 4.0 in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of 4.0 in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of -1.0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.547 * [taylor]: Taking taylor expansion of 0.5 in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.556 * [taylor]: Taking taylor expansion of 4.0 in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.557 * [taylor]: Taking taylor expansion of 4.0 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of 4.0 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.562 * [taylor]: Taking taylor expansion of 4.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of 4.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of 4.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of 1 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of 8.0 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.587 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.587 * [taylor]: Taking taylor expansion of 4.0 in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.588 * [taylor]: Taking taylor expansion of 4.0 in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of 4.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of 4.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.595 * [taylor]: Taking taylor expansion of 4.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.595 * [taylor]: Taking taylor expansion of 4.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of 1 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.603 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of 8.0 in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.613 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.613 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of 4.0 in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of 4.0 in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of 4.0 in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of 4.0 in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of 1 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.626 * [taylor]: Taking taylor expansion of 4.0 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of 4.0 in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of 4.0 in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of 1 in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.631 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.631 * [taylor]: Taking taylor expansion of 4.0 in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.643 * [taylor]: Taking taylor expansion of 4.0 in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.645 * [taylor]: Taking taylor expansion of 4.0 in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of 4.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of 1 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.649 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.649 * [taylor]: Taking taylor expansion of 4.0 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.661 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.661 * [approximate]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.661 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.661 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.662 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.662 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of 4.0 in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of 4.0 in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.663 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.663 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.663 * [taylor]: Taking taylor expansion of 1 in x 0.663 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.663 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.663 * [taylor]: Taking taylor expansion of 4.0 in x 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.663 * [taylor]: Taking taylor expansion of 4.0 in x 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.674 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.674 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.674 * [taylor]: Taking taylor expansion of 1 in x 0.674 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.674 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of 4.0 in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of 4.0 in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 0.5 (pow y 2)))) in y 0.682 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.682 * [taylor]: Taking taylor expansion of 2 in y 0.682 * [taylor]: Taking taylor expansion of (log x) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of (log (/ 0.5 (pow y 2))) in y 0.682 * [taylor]: Taking taylor expansion of (/ 0.5 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of 0.5 in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of (/ -0.25 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of -0.25 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.722 * [approximate]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.722 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.722 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.722 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.722 * [taylor]: Taking taylor expansion of 1 in y 0.722 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.722 * [taylor]: Taking taylor expansion of x in y 0.722 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.722 * [taylor]: Taking taylor expansion of 4.0 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of 4.0 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.736 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.736 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.736 * [taylor]: Taking taylor expansion of 1 in x 0.736 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.736 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of 4.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.737 * [taylor]: Taking taylor expansion of 4.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.739 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.739 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.739 * [taylor]: Taking taylor expansion of 1 in x 0.739 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of 4.0 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.741 * [taylor]: Taking taylor expansion of 4.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (log 2) in y 0.742 * [taylor]: Taking taylor expansion of 2 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of (/ -4.0 (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of -4.0 in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [approximate]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.767 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.768 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.768 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.768 * [taylor]: Taking taylor expansion of 1 in y 0.768 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.768 * [taylor]: Taking taylor expansion of 4.0 in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.769 * [taylor]: Taking taylor expansion of 4.0 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.785 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.785 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.785 * [taylor]: Taking taylor expansion of 1 in x 0.785 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.786 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.786 * [taylor]: Taking taylor expansion of 4.0 in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of 4.0 in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.789 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.789 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.789 * [taylor]: Taking taylor expansion of 1 in x 0.789 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of 4.0 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of 4.0 in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (log 2) in y 0.793 * [taylor]: Taking taylor expansion of 2 in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of (/ -4.0 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of -4.0 in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.818 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of 4.0 in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of 4.0 in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of 4.0 in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of 4.0 in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 1 in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.830 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.830 * [taylor]: Taking taylor expansion of 4.0 in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of 4.0 in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.832 * [taylor]: Taking taylor expansion of 4.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of 1 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.835 * [taylor]: Taking taylor expansion of 4.0 in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.846 * [taylor]: Taking taylor expansion of 4.0 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.847 * [taylor]: Taking taylor expansion of 4.0 in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of 4.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.852 * [taylor]: Taking taylor expansion of 4.0 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.862 * * * [progress]: simplifying candidates 0.863 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (+ 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (expm1 (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log1p (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (exp (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (* (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (+ (log 0.5) (* 2 (log x))) (* 2 (log y))) (log 2) (log 2) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.871 * * [simplify]: iteration 0 : 282 enodes (cost 868 ) 0.880 * * [simplify]: iteration 1 : 1235 enodes (cost 783 ) 0.915 * * [simplify]: iteration 2 : 5001 enodes (cost 764 ) 0.920 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (pow x 2)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) (fma 1 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (log1p (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (exp (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (pow (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (log (* (fma x x (* (* y 4.0) y)) 1)) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (fma x x (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6)) (fma (pow y 2) (* 4.0 (- (* (* y 4.0) y) (pow x 2))) (pow x 4)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (fma 2 (- (log x) (log y)) (log 0.5)) (log 2) (log 2) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) 0.920 * * * [progress]: adding candidates to table 1.148 * * [progress]: iteration 4 / 4 1.149 * * * [progress]: picking best candidate 1.154 * * * * [pick]: Picked # 1.154 * * * [progress]: localizing error 1.172 * * * [progress]: generating rewritten candidates 1.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.191 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.201 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.209 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.209 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of 4.0 in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.210 * [taylor]: Taking taylor expansion of x in y 1.210 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.210 * [taylor]: Taking taylor expansion of 4.0 in y 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.210 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.210 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of 4.0 in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of 4.0 in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.211 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of 4.0 in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of 4.0 in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.212 * [taylor]: Taking taylor expansion of -1.0 in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.218 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.218 * [taylor]: Taking taylor expansion of 0.5 in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.227 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.227 * [taylor]: Taking taylor expansion of x in y 1.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.227 * [taylor]: Taking taylor expansion of 4.0 in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.228 * [taylor]: Taking taylor expansion of 4.0 in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.231 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.231 * [taylor]: Taking taylor expansion of 4.0 in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.232 * [taylor]: Taking taylor expansion of 4.0 in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.233 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.234 * [taylor]: Taking taylor expansion of 4.0 in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.235 * [taylor]: Taking taylor expansion of 4.0 in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.236 * [taylor]: Taking taylor expansion of 1 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.243 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.243 * [taylor]: Taking taylor expansion of 8.0 in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.252 * [taylor]: Taking taylor expansion of 0 in y 1.253 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.253 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.253 * [taylor]: Taking taylor expansion of x in y 1.253 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.253 * [taylor]: Taking taylor expansion of 4.0 in y 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.253 * [taylor]: Taking taylor expansion of y in y 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.254 * [taylor]: Taking taylor expansion of 4.0 in y 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.258 * [taylor]: Taking taylor expansion of 4.0 in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.258 * [taylor]: Taking taylor expansion of y in x 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.259 * [taylor]: Taking taylor expansion of 4.0 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.259 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of 4.0 in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.261 * [taylor]: Taking taylor expansion of 4.0 in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.261 * [taylor]: Taking taylor expansion of y in x 1.262 * [taylor]: Taking taylor expansion of 1 in y 1.265 * [taylor]: Taking taylor expansion of 0 in y 1.274 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.274 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.274 * [taylor]: Taking taylor expansion of 8.0 in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.283 * [taylor]: Taking taylor expansion of 0 in y 1.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.284 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.284 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.284 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.284 * [taylor]: Taking taylor expansion of x in y 1.284 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.284 * [taylor]: Taking taylor expansion of 4.0 in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.284 * [taylor]: Taking taylor expansion of x in y 1.284 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.284 * [taylor]: Taking taylor expansion of 4.0 in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.285 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.285 * [taylor]: Taking taylor expansion of 4.0 in x 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.285 * [taylor]: Taking taylor expansion of 4.0 in x 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.285 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.285 * [taylor]: Taking taylor expansion of 4.0 in x 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.286 * [taylor]: Taking taylor expansion of 4.0 in x 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of -1.0 in y 1.289 * [taylor]: Taking taylor expansion of 0 in y 1.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.293 * [taylor]: Taking taylor expansion of 0.5 in y 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.301 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.302 * [taylor]: Taking taylor expansion of 4.0 in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.303 * [taylor]: Taking taylor expansion of x in y 1.303 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.303 * [taylor]: Taking taylor expansion of 4.0 in y 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.306 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.307 * [taylor]: Taking taylor expansion of 4.0 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.307 * [taylor]: Taking taylor expansion of 4.0 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.308 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.309 * [taylor]: Taking taylor expansion of 4.0 in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.310 * [taylor]: Taking taylor expansion of 4.0 in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.310 * [taylor]: Taking taylor expansion of y in x 1.311 * [taylor]: Taking taylor expansion of 1 in y 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.318 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.318 * [taylor]: Taking taylor expansion of 8.0 in y 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.327 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.327 * [taylor]: Taking taylor expansion of x in y 1.328 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.328 * [taylor]: Taking taylor expansion of 4.0 in y 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.328 * [taylor]: Taking taylor expansion of y in y 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.328 * [taylor]: Taking taylor expansion of x in y 1.329 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.329 * [taylor]: Taking taylor expansion of 4.0 in y 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.329 * [taylor]: Taking taylor expansion of y in y 1.331 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.332 * [taylor]: Taking taylor expansion of 4.0 in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.332 * [taylor]: Taking taylor expansion of y in x 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.333 * [taylor]: Taking taylor expansion of 4.0 in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.334 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.335 * [taylor]: Taking taylor expansion of 4.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.335 * [taylor]: Taking taylor expansion of y in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.336 * [taylor]: Taking taylor expansion of 4.0 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.337 * [taylor]: Taking taylor expansion of 1 in y 1.340 * [taylor]: Taking taylor expansion of 0 in y 1.344 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.344 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.344 * [taylor]: Taking taylor expansion of 8.0 in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.354 * [taylor]: Taking taylor expansion of 0 in y 1.354 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.354 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.354 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.354 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of 4.0 in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of 4.0 in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.355 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.355 * [taylor]: Taking taylor expansion of 4.0 in x 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.355 * [taylor]: Taking taylor expansion of y in x 1.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.355 * [taylor]: Taking taylor expansion of 4.0 in x 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.355 * [taylor]: Taking taylor expansion of y in x 1.356 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.356 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.356 * [taylor]: Taking taylor expansion of 4.0 in x 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.356 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.356 * [taylor]: Taking taylor expansion of 4.0 in x 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.357 * [taylor]: Taking taylor expansion of -1.0 in y 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.363 * [taylor]: Taking taylor expansion of 0.5 in y 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.371 * [taylor]: Taking taylor expansion of 0 in y 1.372 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.372 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.372 * [taylor]: Taking taylor expansion of x in y 1.372 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.372 * [taylor]: Taking taylor expansion of 4.0 in y 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.372 * [taylor]: Taking taylor expansion of y in y 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.376 * [taylor]: Taking taylor expansion of x in y 1.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.376 * [taylor]: Taking taylor expansion of 4.0 in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.376 * [taylor]: Taking taylor expansion of y in y 1.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.380 * [taylor]: Taking taylor expansion of 4.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.380 * [taylor]: Taking taylor expansion of y in x 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.381 * [taylor]: Taking taylor expansion of 4.0 in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.381 * [taylor]: Taking taylor expansion of y in x 1.382 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.383 * [taylor]: Taking taylor expansion of 4.0 in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.383 * [taylor]: Taking taylor expansion of y in x 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.384 * [taylor]: Taking taylor expansion of 4.0 in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.384 * [taylor]: Taking taylor expansion of y in x 1.385 * [taylor]: Taking taylor expansion of 1 in y 1.388 * [taylor]: Taking taylor expansion of 0 in y 1.392 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.392 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.392 * [taylor]: Taking taylor expansion of 8.0 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 1.402 * [taylor]: Taking taylor expansion of 0 in y 1.402 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.402 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.402 * [taylor]: Taking taylor expansion of x in y 1.402 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.402 * [taylor]: Taking taylor expansion of 4.0 in y 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.403 * [taylor]: Taking taylor expansion of x in y 1.403 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.403 * [taylor]: Taking taylor expansion of 4.0 in y 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.406 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.407 * [taylor]: Taking taylor expansion of 4.0 in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.407 * [taylor]: Taking taylor expansion of y in x 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.408 * [taylor]: Taking taylor expansion of 4.0 in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.408 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.410 * [taylor]: Taking taylor expansion of 4.0 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.411 * [taylor]: Taking taylor expansion of 4.0 in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.412 * [taylor]: Taking taylor expansion of 1 in y 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.418 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.418 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.418 * [taylor]: Taking taylor expansion of 8.0 in y 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.428 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.428 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.428 * [taylor]: Taking taylor expansion of 4.0 in y 1.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.429 * [taylor]: Taking taylor expansion of 4.0 in x 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.429 * [taylor]: Taking taylor expansion of 4.0 in x 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 1.429 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.429 * [taylor]: Taking taylor expansion of 4.0 in y 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [taylor]: Taking taylor expansion of 1 in y 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.441 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.442 * [taylor]: Taking taylor expansion of x in y 1.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.442 * [taylor]: Taking taylor expansion of 4.0 in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.442 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.443 * [taylor]: Taking taylor expansion of 4.0 in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.444 * [taylor]: Taking taylor expansion of 4.0 in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of 1 in y 1.446 * [taylor]: Taking taylor expansion of 0 in y 1.447 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.447 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.447 * [taylor]: Taking taylor expansion of 4.0 in y 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.447 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.459 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.459 * [taylor]: Taking taylor expansion of x in y 1.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.459 * [taylor]: Taking taylor expansion of 4.0 in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.461 * [taylor]: Taking taylor expansion of 4.0 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.461 * [taylor]: Taking taylor expansion of y in x 1.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.462 * [taylor]: Taking taylor expansion of 4.0 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.462 * [taylor]: Taking taylor expansion of 1 in y 1.463 * [taylor]: Taking taylor expansion of 0 in y 1.465 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.465 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.465 * [taylor]: Taking taylor expansion of 4.0 in y 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of 0 in y 1.474 * [taylor]: Taking taylor expansion of 0 in y 1.477 * * * [progress]: simplifying candidates 1.482 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* 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(+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 -1.0 1 1 -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 1.540 * * * [progress]: adding candidates to table 1.949 * [progress]: [Phase 3 of 3] Extracting. 1.949 * * [regime]: Finding splitpoints for: (# # # # #) 1.950 * * * [regime-changes]: Trying 5 branch expressions: ((* (* y 4.0) y) (* x x) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) y x) 1.950 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # # #) 1.980 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.005 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # # # #) 2.029 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.082 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.125 * * * [regime]: Found split indices: #