12.516 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.033 * * [simplify]: iteration 0 : 18 enodes (cost 9 ) 0.036 * * [simplify]: iteration 1 : 36 enodes (cost 9 ) 0.038 * * [simplify]: iteration 2 : 68 enodes (cost 9 ) 0.041 * * [simplify]: iteration 3 : 117 enodes (cost 9 ) 0.045 * * [simplify]: iteration 4 : 174 enodes (cost 9 ) 0.051 * * [simplify]: iteration 5 : 195 enodes (cost 9 ) 0.056 * * [simplify]: iteration 6 : 197 enodes (cost 9 ) 0.061 * * [simplify]: iteration 7 : 197 enodes (cost 9 ) 0.062 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.089 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.093 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.093 * [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 0.093 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.093 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of 4.0 in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of 4.0 in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.094 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of 4.0 in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of 4.0 in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of 4.0 in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of 4.0 in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of -1.0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.101 * [taylor]: Taking taylor expansion of 0.5 in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [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 0.109 * [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 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of 4.0 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.110 * [taylor]: Taking taylor expansion of 4.0 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.113 * [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 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of 4.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of 4.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.115 * [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 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.123 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of 8.0 in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [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 0.132 * [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 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of 4.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of 4.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 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 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of 4.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of 4.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of 8.0 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of 4.0 in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of 4.0 in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of 4.0 in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of 4.0 in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.173 * [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 0.174 * [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 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [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 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.178 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.178 * [taylor]: Taking taylor expansion of 4.0 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of 4.0 in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of 4.0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of 4.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.194 * [taylor]: Taking taylor expansion of 4.0 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.204 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.204 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of 4.0 in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of 4.0 in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of 4.0 in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of 4.0 in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of 4.0 in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of 4.0 in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of 4.0 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.228 * [taylor]: Taking taylor expansion of 4.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of 4.0 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying using # : (- (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))) (/ (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)) (* (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))) 0.247 * * [simplify]: iteration 0 : 234 enodes (cost 680 ) 0.253 * * [simplify]: iteration 1 : 1007 enodes (cost 622 ) 0.278 * * [simplify]: iteration 2 : 5001 enodes (cost 620 ) 0.281 * [simplify]: Simplified to: (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)) (+ (* 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)) (+ (* 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 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)))) (/ (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))) (+ (* 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)) (+ (* 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)) (/ (+ (* 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)) (+ (- (* (* (* y 4.0) y) (* (* y 4.0) y))) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* 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)) (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (- (* (* y 4.0) y)) (+ (- (* (* (* y 4.0) y) (* (* y 4.0) y))) (pow x 4)) (+ (* 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)) (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (+ (- (* (* (* y 4.0) y) (* (* y 4.0) y))) (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)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) 0.282 * * * [progress]: adding candidates to table 0.418 * * [progress]: iteration 2 / 4 0.418 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.483 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.488 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 0.488 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.488 * [taylor]: Taking taylor expansion of 4.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of 4.0 in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.489 * [taylor]: Taking taylor expansion of 4.0 in y 0.489 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of 4.0 in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.490 * [taylor]: Taking taylor expansion of 4.0 in y 0.490 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of 4.0 in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of 4.0 in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.498 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 0.498 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 0.498 * [taylor]: Taking taylor expansion of 16.0 in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of 4.0 in x 0.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of 4.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.508 * [taylor]: Taking taylor expansion of 4.0 in y 0.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.508 * [taylor]: Taking taylor expansion of 4.0 in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 4.0 in y 0.510 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 4.0 in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of 0 in x 0.518 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 0.521 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 0.521 * [taylor]: Taking taylor expansion of 0.25 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.527 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.527 * [taylor]: Taking taylor expansion of 4.0 in x 0.527 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.527 * [taylor]: Taking taylor expansion of 4.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.528 * [taylor]: Taking taylor expansion of 4.0 in y 0.528 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.528 * [taylor]: Taking taylor expansion of 4.0 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of 4.0 in y 0.530 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of 4.0 in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of 0 in x 0.538 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 0.538 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 0.539 * [taylor]: Taking taylor expansion of 0.25 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.544 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of 4.0 in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of 4.0 in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of 4.0 in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of 0.25 in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 0.553 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 0.553 * [taylor]: Taking taylor expansion of 0.0625 in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.562 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.563 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of 4.0 in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.564 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.565 * [taylor]: Taking taylor expansion of 4.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.566 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.566 * [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 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of 4.0 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.578 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.578 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of 4.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.580 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.580 * [taylor]: Taking taylor expansion of 4.0 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.581 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of 4.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.585 * [taylor]: Taking taylor expansion of 0 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 (/ 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 0.593 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.594 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 0.594 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 0.594 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of 4.0 in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.594 * [taylor]: Taking taylor expansion of 4.0 in y 0.594 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of 4.0 in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 0.595 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 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 (+ (pow x 2) (* 4.0 (pow y 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 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of 4.0 in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.596 * [taylor]: Taking taylor expansion of 4.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.596 * [taylor]: Taking taylor expansion of 4.0 in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 0.596 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.596 * [taylor]: Taking taylor expansion of 4.0 in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.597 * [taylor]: Taking taylor expansion of 4.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of 4.0 in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.598 * [taylor]: Taking taylor expansion of 1.0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of 0.5 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 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.615 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 4.0 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 0.616 * [taylor]: Taking taylor expansion of 4.0 in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.616 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.616 * [taylor]: Taking taylor expansion of 4.0 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.618 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of 4.0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 0.620 * [taylor]: Taking taylor expansion of 4.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.621 * [taylor]: Taking taylor expansion of 4.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.621 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of 4.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of 4.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of 4.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.630 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of 8.0 in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 0.641 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.641 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.641 * [taylor]: Taking taylor expansion of 4.0 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 0.642 * [taylor]: Taking taylor expansion of 4.0 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of 4.0 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (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) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.644 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow 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 0.646 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 0.646 * [taylor]: Taking taylor expansion of 4.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of 4.0 in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.647 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.648 * [taylor]: Taking taylor expansion of 4.0 in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 0.649 * [taylor]: Taking taylor expansion of 4.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of 4.0 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.656 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.656 * [taylor]: Taking taylor expansion of 8.0 in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.666 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of 4.0 in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of 4.0 in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of 4.0 in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of 4.0 in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.675 * [taylor]: Taking taylor expansion of 4.0 in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of 4.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of 4.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of 4.0 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.688 * [taylor]: Taking taylor expansion of 4.0 in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of 4.0 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of 4.0 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of 1 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 4.0 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.703 * * * [progress]: simplifying candidates 0.704 * [simplify]: Simplifying using # : (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* 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) (+ (* 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))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* 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) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* (* 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) (+ (* x x) (* (* 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) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ (* x x) (+ (* x x) (* (* 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) (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* 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) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* y 4.0) y) (+ (* 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)) 0 0 0 0 0 0 (- 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))) 0.711 * * [simplify]: iteration 0 : 396 enodes (cost 987 ) 0.718 * * [simplify]: iteration 1 : 1942 enodes (cost 882 ) 0.750 * * [simplify]: iteration 2 : 5001 enodes (cost 881 ) 0.754 * [simplify]: Simplified to: (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (* (/ y (- (/ (pow x 4) y) (/ (* y (* (* (pow y 3) 4.0) 4.0)) y))) (/ 4.0 1)) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (pow x 2) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (pow (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (+ (- (* (* (* y 4.0) y) (* (* y 4.0) y))) (pow x 4)) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (+ (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (* (/ (* x x) (+ (* 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))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* 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)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* 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) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* 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)) (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (+ (- (* (* (* y 4.0) y) (* (* y 4.0) y))) (pow x 4)) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) 0.755 * * * [progress]: adding candidates to table 0.928 * * [progress]: iteration 3 / 4 0.928 * * * [progress]: picking best candidate 0.934 * * * * [pick]: Picked # 0.934 * * * [progress]: localizing error 0.948 * * * [progress]: generating rewritten candidates 0.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.954 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.979 * * * [progress]: generating series expansions 0.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.980 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of 4.0 in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of 4.0 in x 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.982 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.982 * [taylor]: Taking taylor expansion of 4.0 in x 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 0.983 * [taylor]: Taking taylor expansion of 4.0 in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 0.988 * [taylor]: Taking taylor expansion of 1/2 in y 0.988 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 0.988 * [taylor]: Taking taylor expansion of 4.0 in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.999 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.000 * [taylor]: Taking taylor expansion of 4.0 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.004 * [taylor]: Taking taylor expansion of 4.0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.007 * [taylor]: Taking taylor expansion of 4.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of 1 in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of 2.0 in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.017 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.017 * [taylor]: Taking taylor expansion of 4.0 in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of 4.0 in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.024 * [taylor]: Taking taylor expansion of 4.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of 1 in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.028 * [taylor]: Taking taylor expansion of 2.0 in y 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.033 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of 4.0 in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.034 * [taylor]: Taking taylor expansion of 4.0 in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.035 * [taylor]: Taking taylor expansion of 4.0 in x 1.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.036 * [taylor]: Taking taylor expansion of 4.0 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 1.045 * [taylor]: Taking taylor expansion of 1/2 in y 1.045 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.045 * [taylor]: Taking taylor expansion of 4.0 in y 1.053 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.056 * [taylor]: Taking taylor expansion of 4.0 in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.060 * [taylor]: Taking taylor expansion of 4.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.063 * [taylor]: Taking taylor expansion of 4.0 in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of 1 in y 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of 2.0 in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.073 * [taylor]: Taking taylor expansion of 4.0 in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.077 * [taylor]: Taking taylor expansion of 4.0 in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of 4.0 in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.082 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.084 * [taylor]: Taking taylor expansion of 2.0 in y 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.089 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.090 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 1.090 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 1.090 * [taylor]: Taking taylor expansion of 4.0 in x 1.090 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.090 * [taylor]: Taking taylor expansion of 4.0 in x 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.090 * [taylor]: Taking taylor expansion of 4.0 in y 1.090 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.090 * [taylor]: Taking taylor expansion of y in y 1.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.090 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of 4.0 in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.091 * [taylor]: Taking taylor expansion of 4.0 in y 1.091 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of 4.0 in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of 4.0 in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of 0 in x 1.100 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 1.100 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 1.100 * [taylor]: Taking taylor expansion of 16.0 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.109 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.109 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.109 * [taylor]: Taking taylor expansion of 4.0 in x 1.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.110 * [taylor]: Taking taylor expansion of 4.0 in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of 4.0 in y 1.111 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of 4.0 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.113 * [taylor]: Taking taylor expansion of 4.0 in y 1.113 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.113 * [taylor]: Taking taylor expansion of 4.0 in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of 0 in x 1.121 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.122 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.122 * [taylor]: Taking taylor expansion of 0.25 in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.127 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.127 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.127 * [taylor]: Taking taylor expansion of 4.0 in x 1.127 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.128 * [taylor]: Taking taylor expansion of 4.0 in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.131 * [taylor]: Taking taylor expansion of 4.0 in y 1.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.132 * [taylor]: Taking taylor expansion of 4.0 in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.134 * [taylor]: Taking taylor expansion of 4.0 in y 1.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.134 * [taylor]: Taking taylor expansion of x in y 1.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.134 * [taylor]: Taking taylor expansion of 4.0 in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of 0 in x 1.142 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.142 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.142 * [taylor]: Taking taylor expansion of 0.25 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.148 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 1.148 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 1.148 * [taylor]: Taking taylor expansion of 4.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.148 * [taylor]: Taking taylor expansion of 4.0 in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.149 * [taylor]: Taking taylor expansion of 4.0 in y 1.149 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.149 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of 4.0 in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.149 * [taylor]: Taking taylor expansion of 4.0 in y 1.149 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.150 * [taylor]: Taking taylor expansion of x in y 1.150 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.150 * [taylor]: Taking taylor expansion of 4.0 in y 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of 4.0 in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 1.158 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 1.158 * [taylor]: Taking taylor expansion of 16.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.167 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.167 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.167 * [taylor]: Taking taylor expansion of 4.0 in x 1.167 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.168 * [taylor]: Taking taylor expansion of 4.0 in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.168 * [taylor]: Taking taylor expansion of y in x 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.168 * [taylor]: Taking taylor expansion of y in x 1.169 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.169 * [taylor]: Taking taylor expansion of 4.0 in y 1.169 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.169 * [taylor]: Taking taylor expansion of x in y 1.169 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.169 * [taylor]: Taking taylor expansion of 4.0 in y 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.171 * [taylor]: Taking taylor expansion of 4.0 in y 1.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.171 * [taylor]: Taking taylor expansion of x in y 1.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.171 * [taylor]: Taking taylor expansion of 4.0 in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of 0 in x 1.179 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.179 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.179 * [taylor]: Taking taylor expansion of 0.25 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.185 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.185 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.185 * [taylor]: Taking taylor expansion of 4.0 in x 1.185 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.186 * [taylor]: Taking taylor expansion of 4.0 in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of 4.0 in y 1.187 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of 4.0 in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.189 * [taylor]: Taking taylor expansion of 4.0 in y 1.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.189 * [taylor]: Taking taylor expansion of 4.0 in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of 0 in x 1.198 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.198 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.198 * [taylor]: Taking taylor expansion of 0.25 in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.204 * * * [progress]: simplifying candidates 1.205 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (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 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (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 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) 0 0 0 0 0 0 1.211 * * [simplify]: iteration 0 : 248 enodes (cost 798 ) 1.218 * * [simplify]: iteration 1 : 1252 enodes (cost 680 ) 1.245 * * [simplify]: iteration 2 : 5001 enodes (cost 678 ) 1.249 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3) (fabs (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) 1/2 (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3) (fabs (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) 1/2 (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) 0 0 0 0 0 0 1.250 * * * [progress]: adding candidates to table 1.498 * * [progress]: iteration 4 / 4 1.498 * * * [progress]: picking best candidate 1.505 * * * * [pick]: Picked # 1.505 * * * [progress]: localizing error 1.523 * * * [progress]: generating rewritten candidates 1.523 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.527 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 1.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 1.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.547 * * * [progress]: generating series expansions 1.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.547 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.547 * [taylor]: Taking taylor expansion of x in y 1.547 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.547 * [taylor]: Taking taylor expansion of 4.0 in y 1.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.548 * [taylor]: Taking taylor expansion of 4.0 in x 1.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.548 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.549 * [taylor]: Taking taylor expansion of 4.0 in x 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.550 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.550 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.550 * [taylor]: Taking taylor expansion of 4.0 in y 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.555 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 1.555 * [taylor]: Taking taylor expansion of 1/2 in y 1.555 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.555 * [taylor]: Taking taylor expansion of 4.0 in y 1.563 * [taylor]: Taking taylor expansion of 0 in y 1.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.566 * [taylor]: Taking taylor expansion of x in y 1.566 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.566 * [taylor]: Taking taylor expansion of 4.0 in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of 4.0 in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.570 * [taylor]: Taking taylor expansion of y in x 1.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.573 * [taylor]: Taking taylor expansion of 4.0 in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.573 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of 1 in y 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.577 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.577 * [taylor]: Taking taylor expansion of 2.0 in y 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.580 * [taylor]: Taking taylor expansion of 0 in y 1.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.582 * [taylor]: Taking taylor expansion of x in y 1.582 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.582 * [taylor]: Taking taylor expansion of 4.0 in y 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.582 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.586 * [taylor]: Taking taylor expansion of 4.0 in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.586 * [taylor]: Taking taylor expansion of y in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of 4.0 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of 1 in y 1.590 * [taylor]: Taking taylor expansion of 0 in y 1.592 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.592 * [taylor]: Taking taylor expansion of 2.0 in y 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.592 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.597 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 1.597 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.597 * [taylor]: Taking taylor expansion of x in y 1.597 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of 4.0 in y 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.598 * [taylor]: Taking taylor expansion of 4.0 in x 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.599 * [taylor]: Taking taylor expansion of 4.0 in x 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.600 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.600 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.600 * [taylor]: Taking taylor expansion of 4.0 in y 1.601 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 1.605 * [taylor]: Taking taylor expansion of 1/2 in y 1.605 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.605 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.605 * [taylor]: Taking taylor expansion of 4.0 in y 1.613 * [taylor]: Taking taylor expansion of 0 in y 1.616 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.616 * [taylor]: Taking taylor expansion of x in y 1.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.616 * [taylor]: Taking taylor expansion of 4.0 in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.622 * [taylor]: Taking taylor expansion of 4.0 in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of 4.0 in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of 1 in y 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.630 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.630 * [taylor]: Taking taylor expansion of 2.0 in y 1.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.634 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.635 * [taylor]: Taking taylor expansion of x in y 1.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.635 * [taylor]: Taking taylor expansion of 4.0 in y 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.635 * [taylor]: Taking taylor expansion of y in y 1.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.639 * [taylor]: Taking taylor expansion of 4.0 in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.641 * [taylor]: Taking taylor expansion of 4.0 in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.644 * [taylor]: Taking taylor expansion of 1 in y 1.644 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.646 * [taylor]: Taking taylor expansion of 2.0 in y 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.649 * [taylor]: Taking taylor expansion of 0 in y 1.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 1.651 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.651 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.651 * [taylor]: Taking taylor expansion of x in y 1.651 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.651 * [taylor]: Taking taylor expansion of 4.0 in y 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.651 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.651 * [taylor]: Taking taylor expansion of 4.0 in x 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.651 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.652 * [taylor]: Taking taylor expansion of 4.0 in x 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.654 * [taylor]: Taking taylor expansion of 4.0 in y 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 1.658 * [taylor]: Taking taylor expansion of 1/2 in y 1.658 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.658 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 1.658 * [taylor]: Taking taylor expansion of 4.0 in y 1.666 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.669 * [taylor]: Taking taylor expansion of x in y 1.669 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.669 * [taylor]: Taking taylor expansion of 4.0 in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.673 * [taylor]: Taking taylor expansion of 4.0 in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of 4.0 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of 1 in y 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.680 * [taylor]: Taking taylor expansion of 2.0 in y 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.685 * [taylor]: Taking taylor expansion of x in y 1.685 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.685 * [taylor]: Taking taylor expansion of 4.0 in y 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.689 * [taylor]: Taking taylor expansion of 4.0 in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.691 * [taylor]: Taking taylor expansion of 4.0 in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.691 * [taylor]: Taking taylor expansion of y in x 1.693 * [taylor]: Taking taylor expansion of 1 in y 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 1.695 * [taylor]: Taking taylor expansion of 2.0 in y 1.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.700 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.700 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 1.700 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 1.700 * [taylor]: Taking taylor expansion of 4.0 in x 1.700 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.701 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.701 * [taylor]: Taking taylor expansion of 4.0 in x 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.701 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.701 * [taylor]: Taking taylor expansion of 4.0 in y 1.701 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.701 * [taylor]: Taking taylor expansion of x in y 1.701 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of 4.0 in y 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.702 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 1.702 * [taylor]: Taking taylor expansion of 4.0 in y 1.702 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.702 * [taylor]: Taking taylor expansion of x in y 1.702 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.702 * [taylor]: Taking taylor expansion of 4.0 in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 1.702 * [taylor]: Taking taylor expansion of 4.0 in x 1.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of 0 in x 1.712 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 1.712 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 1.712 * [taylor]: Taking taylor expansion of 16.0 in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.712 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.721 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.721 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.721 * [taylor]: Taking taylor expansion of 4.0 in x 1.721 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.722 * [taylor]: Taking taylor expansion of 4.0 in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.722 * [taylor]: Taking taylor expansion of y in x 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.722 * [taylor]: Taking taylor expansion of y in x 1.723 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.723 * [taylor]: Taking taylor expansion of 4.0 in y 1.723 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.724 * [taylor]: Taking taylor expansion of 4.0 in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.725 * [taylor]: Taking taylor expansion of y in y 1.727 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.727 * [taylor]: Taking taylor expansion of 4.0 in y 1.727 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.727 * [taylor]: Taking taylor expansion of x in y 1.727 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.727 * [taylor]: Taking taylor expansion of 4.0 in y 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.727 * [taylor]: Taking taylor expansion of y in y 1.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.727 * [taylor]: Taking taylor expansion of y in y 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [taylor]: Taking taylor expansion of 0 in x 1.735 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.735 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.735 * [taylor]: Taking taylor expansion of 0.25 in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.741 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 1.741 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 1.741 * [taylor]: Taking taylor expansion of 4.0 in x 1.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.742 * [taylor]: Taking taylor expansion of 4.0 in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.742 * [taylor]: Taking taylor expansion of y in x 1.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.742 * [taylor]: Taking taylor expansion of y in x 1.742 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.742 * [taylor]: Taking taylor expansion of 4.0 in y 1.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.742 * [taylor]: Taking taylor expansion of x in y 1.743 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.743 * [taylor]: Taking taylor expansion of 4.0 in y 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.743 * [taylor]: Taking taylor expansion of y in y 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.743 * [taylor]: Taking taylor expansion of y in y 1.744 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 1.744 * [taylor]: Taking taylor expansion of 4.0 in y 1.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.744 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.744 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.745 * [taylor]: Taking taylor expansion of 4.0 in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of 0 in x 1.752 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 1.753 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.753 * [taylor]: Taking taylor expansion of 0.25 in x 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.758 * * * [progress]: simplifying candidates 1.759 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (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 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (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 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (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 (* (cbrt (+ (* x x) (* 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x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) 0 0 0 1.764 * * [simplify]: iteration 0 : 248 enodes (cost 645 ) 1.770 * * [simplify]: iteration 1 : 1252 enodes (cost 578 ) 1.794 * * [simplify]: iteration 2 : 5001 enodes (cost 575 ) 1.797 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ 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y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) 0 0 0 1.798 * * * [progress]: adding candidates to table 2.061 * [progress]: [Phase 3 of 3] Extracting. 2.061 * * [regime]: Finding splitpoints for: (# # # # #) 2.063 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 2.063 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # # #) 2.092 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.117 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.163 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.206 * * * [regime]: Found split indices: #