11.790 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.018 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.020 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.025 * * [simplify]: iteration 3 : 70 enodes (cost 19 ) 0.039 * * [simplify]: iteration 4 : 118 enodes (cost 19 ) 0.055 * * [simplify]: iteration 5 : 166 enodes (cost 19 ) 0.080 * * [simplify]: iteration 6 : 186 enodes (cost 19 ) 0.109 * * [simplify]: iteration 7 : 187 enodes (cost 19 ) 0.139 * * [simplify]: iteration done : 187 enodes (cost 19 ) 0.139 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.139 * * [progress]: iteration 1 / 4 0.139 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.160 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.163 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.167 * * * [progress]: generating series expansions 0.167 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.167 * [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 0.167 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of 4.0 in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of 4.0 in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of 4.0 in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of 4.0 in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of 4.0 in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of 4.0 in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of -1.0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of 0.5 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [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 0.183 * [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 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of 4.0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of 4.0 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.186 * [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 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of 4.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of 4.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [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 0.189 * [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 0.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of 4.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 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 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.197 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of 8.0 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [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 0.205 * [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 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.205 * [taylor]: Taking taylor expansion of 4.0 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of 4.0 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.209 * [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 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of 4.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.210 * [taylor]: Taking taylor expansion of 4.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [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 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of 4.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of 4.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.224 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of 8.0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.232 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of 4.0 in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of 4.0 in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of 4.0 in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of 4.0 in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of 4.0 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of 4.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.245 * [taylor]: Taking taylor expansion of 4.0 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of 4.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.259 * [taylor]: Taking taylor expansion of 4.0 in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of 4.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of 4.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of 4.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.273 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.273 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of 4.0 in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of 4.0 in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of 4.0 in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of 4.0 in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.283 * [taylor]: Taking taylor expansion of 4.0 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.284 * [taylor]: Taking taylor expansion of 4.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.285 * [taylor]: Taking taylor expansion of 4.0 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of 4.0 in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.298 * [taylor]: Taking taylor expansion of 4.0 in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of 4.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of 4.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.302 * [taylor]: Taking taylor expansion of 4.0 in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.316 * * * [progress]: simplifying candidates 0.317 * [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))) 0.320 * * [simplify]: iteration 0 : 87 enodes (cost 1404 ) 0.336 * * [simplify]: iteration 1 : 232 enodes (cost 1375 ) 0.401 * * [simplify]: iteration 2 : 831 enodes (cost 1233 ) 0.815 * * [simplify]: iteration 3 : 4588 enodes (cost 1226 ) 2.836 * * [simplify]: iteration done : 5000 enodes (cost 1226 ) 2.837 * [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) (* 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))) (/ (* (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 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 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)))) (- (pow x 2) (* 4.0 (pow y 2))) (/ (+ (* 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))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 4) (* (pow y 3) (* 4.0 (* y 4.0))))) (* (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (+ (* 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 (- (pow x 2) (* 4.0 (pow y 2)))) (pow (- (pow x 2) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (pow y 3) (* 4.0 (* y 4.0)))) (+ (* x x) (* (* y 4.0) y)) (- (* 4.0 (pow y 2))) (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 (+ (pow x 2) (* 4.0 (pow y 2))) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x)))) (- (pow x 4) (* (pow y 3) (* 4.0 (* y 4.0)))) (- (pow x 2) (* 4.0 (pow y 2))) -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))) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) 2.837 * * * [progress]: adding candidates to table 2.996 * * [progress]: iteration 2 / 4 2.996 * * * [progress]: picking best candidate 3.003 * * * * [pick]: Picked # 3.003 * * * [progress]: localizing error 3.004 * * * [progress]: generating rewritten candidates 3.004 * * * [progress]: generating series expansions 3.004 * * * [progress]: simplifying candidates 3.004 * [simplify]: Simplifying using # : 3.005 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.005 * * [simplify]: iteration done : 0 enodes (cost 0 ) 3.005 * [simplify]: Simplified to: 3.005 * * * [progress]: adding candidates to table 3.005 * * [progress]: iteration 3 / 4 3.005 * * * [progress]: picking best candidate 3.011 * * * * [pick]: Picked # 3.011 * * * [progress]: localizing error 3.011 * * * [progress]: generating rewritten candidates 3.011 * * * [progress]: generating series expansions 3.011 * * * [progress]: simplifying candidates 3.011 * [simplify]: Simplifying using # : 3.012 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.012 * * [simplify]: iteration done : 0 enodes (cost 0 ) 3.012 * [simplify]: Simplified to: 3.012 * * * [progress]: adding candidates to table 3.013 * * [progress]: iteration 4 / 4 3.013 * * * [progress]: picking best candidate 3.018 * * * * [pick]: Picked # 3.018 * * * [progress]: localizing error 3.027 * * * [progress]: generating rewritten candidates 3.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.033 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.043 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.083 * * * [progress]: generating series expansions 3.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.083 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.084 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.084 * [taylor]: Taking taylor expansion of x in y 3.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.084 * [taylor]: Taking taylor expansion of x in y 3.084 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.084 * [taylor]: Taking taylor expansion of 4.0 in y 3.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.084 * [taylor]: Taking taylor expansion of y in y 3.084 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.084 * [taylor]: Taking taylor expansion of 4.0 in x 3.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.084 * [taylor]: Taking taylor expansion of y in x 3.085 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.085 * [taylor]: Taking taylor expansion of 4.0 in x 3.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.085 * [taylor]: Taking taylor expansion of y in x 3.086 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 3.086 * [taylor]: Taking taylor expansion of 0.25 in y 3.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.086 * [taylor]: Taking taylor expansion of y in y 3.089 * [taylor]: Taking taylor expansion of 0 in y 3.092 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 3.092 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 3.092 * [taylor]: Taking taylor expansion of 0.0625 in y 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.092 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.092 * [taylor]: Taking taylor expansion of y in y 3.102 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.102 * [taylor]: Taking taylor expansion of x in y 3.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.102 * [taylor]: Taking taylor expansion of x in y 3.102 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.102 * [taylor]: Taking taylor expansion of 4.0 in y 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.102 * [taylor]: Taking taylor expansion of y in y 3.103 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.103 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.104 * [taylor]: Taking taylor expansion of 4.0 in x 3.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.104 * [taylor]: Taking taylor expansion of y in x 3.105 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.106 * [taylor]: Taking taylor expansion of 4.0 in x 3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.106 * [taylor]: Taking taylor expansion of y in x 3.107 * [taylor]: Taking taylor expansion of 1 in y 3.109 * [taylor]: Taking taylor expansion of 0 in y 3.112 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.112 * [taylor]: Taking taylor expansion of 4.0 in y 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.117 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.117 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.118 * [taylor]: Taking taylor expansion of 4.0 in y 3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.118 * [taylor]: Taking taylor expansion of y in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.119 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.119 * [taylor]: Taking taylor expansion of 4.0 in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.119 * [taylor]: Taking taylor expansion of y in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.121 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.121 * [taylor]: Taking taylor expansion of 4.0 in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.121 * [taylor]: Taking taylor expansion of y in x 3.122 * [taylor]: Taking taylor expansion of 1 in y 3.124 * [taylor]: Taking taylor expansion of 0 in y 3.127 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.127 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.127 * [taylor]: Taking taylor expansion of 4.0 in y 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.127 * [taylor]: Taking taylor expansion of y in y 3.132 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.133 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 3.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.133 * [taylor]: Taking taylor expansion of 4.0 in x 3.133 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.133 * [taylor]: Taking taylor expansion of y in x 3.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.133 * [taylor]: Taking taylor expansion of 4.0 in x 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.133 * [taylor]: Taking taylor expansion of y in x 3.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.133 * [taylor]: Taking taylor expansion of 4.0 in y 3.133 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.133 * [taylor]: Taking taylor expansion of y in y 3.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.133 * [taylor]: Taking taylor expansion of x in y 3.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.134 * [taylor]: Taking taylor expansion of 4.0 in y 3.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.134 * [taylor]: Taking taylor expansion of y in y 3.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.134 * [taylor]: Taking taylor expansion of 4.0 in y 3.134 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.134 * [taylor]: Taking taylor expansion of y in y 3.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.134 * [taylor]: Taking taylor expansion of x in y 3.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.134 * [taylor]: Taking taylor expansion of 4.0 in y 3.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.134 * [taylor]: Taking taylor expansion of y in y 3.135 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 3.135 * [taylor]: Taking taylor expansion of 4.0 in x 3.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.138 * [taylor]: Taking taylor expansion of 0 in x 3.142 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 3.142 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 3.142 * [taylor]: Taking taylor expansion of 16.0 in x 3.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.142 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.142 * [taylor]: Taking taylor expansion of x in x 3.151 * [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 3.151 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.151 * [taylor]: Taking taylor expansion of 4.0 in x 3.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.151 * [taylor]: Taking taylor expansion of 4.0 in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.152 * [taylor]: Taking taylor expansion of y in x 3.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.152 * [taylor]: Taking taylor expansion of y in x 3.152 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.152 * [taylor]: Taking taylor expansion of 4.0 in y 3.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.152 * [taylor]: Taking taylor expansion of x in y 3.152 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.152 * [taylor]: Taking taylor expansion of 4.0 in y 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.152 * [taylor]: Taking taylor expansion of y in y 3.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.153 * [taylor]: Taking taylor expansion of y in y 3.154 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.154 * [taylor]: Taking taylor expansion of 4.0 in y 3.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.154 * [taylor]: Taking taylor expansion of x in y 3.154 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.154 * [taylor]: Taking taylor expansion of 4.0 in y 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.155 * [taylor]: Taking taylor expansion of y in y 3.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.155 * [taylor]: Taking taylor expansion of y in y 3.156 * [taylor]: Taking taylor expansion of 1.0 in x 3.161 * [taylor]: Taking taylor expansion of 0 in x 3.165 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.165 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.165 * [taylor]: Taking taylor expansion of 0.25 in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.170 * [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 3.170 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.170 * [taylor]: Taking taylor expansion of 4.0 in x 3.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.170 * [taylor]: Taking taylor expansion of x in x 3.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.171 * [taylor]: Taking taylor expansion of 4.0 in x 3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.171 * [taylor]: Taking taylor expansion of y in x 3.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.171 * [taylor]: Taking taylor expansion of y in x 3.172 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.172 * [taylor]: Taking taylor expansion of 4.0 in y 3.172 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.172 * [taylor]: Taking taylor expansion of x in y 3.172 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.172 * [taylor]: Taking taylor expansion of 4.0 in y 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.172 * [taylor]: Taking taylor expansion of y in y 3.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.172 * [taylor]: Taking taylor expansion of y in y 3.174 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.174 * [taylor]: Taking taylor expansion of 4.0 in y 3.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.174 * [taylor]: Taking taylor expansion of x in y 3.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.174 * [taylor]: Taking taylor expansion of 4.0 in y 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.174 * [taylor]: Taking taylor expansion of y in y 3.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.175 * [taylor]: Taking taylor expansion of y in y 3.176 * [taylor]: Taking taylor expansion of 1.0 in x 3.178 * [taylor]: Taking taylor expansion of 0 in x 3.182 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.182 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.182 * [taylor]: Taking taylor expansion of 0.25 in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.187 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.187 * [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 3.187 * [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 3.187 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.188 * [taylor]: Taking taylor expansion of x in y 3.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.188 * [taylor]: Taking taylor expansion of x in y 3.188 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.188 * [taylor]: Taking taylor expansion of 4.0 in y 3.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.188 * [taylor]: Taking taylor expansion of 4.0 in y 3.188 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.188 * [taylor]: Taking taylor expansion of x in y 3.188 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.188 * [taylor]: Taking taylor expansion of 4.0 in y 3.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.189 * [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 3.189 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.189 * [taylor]: Taking taylor expansion of 4.0 in x 3.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.189 * [taylor]: Taking taylor expansion of y in x 3.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.189 * [taylor]: Taking taylor expansion of 4.0 in x 3.189 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.189 * [taylor]: Taking taylor expansion of y in x 3.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.189 * [taylor]: Taking taylor expansion of 4.0 in x 3.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.189 * [taylor]: Taking taylor expansion of y in x 3.190 * [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 3.190 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.190 * [taylor]: Taking taylor expansion of 4.0 in x 3.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.190 * [taylor]: Taking taylor expansion of y in x 3.190 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.190 * [taylor]: Taking taylor expansion of 4.0 in x 3.190 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.190 * [taylor]: Taking taylor expansion of y in x 3.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.191 * [taylor]: Taking taylor expansion of 4.0 in x 3.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.191 * [taylor]: Taking taylor expansion of y in x 3.192 * [taylor]: Taking taylor expansion of (- 1.0) in y 3.192 * [taylor]: Taking taylor expansion of 1.0 in y 3.194 * [taylor]: Taking taylor expansion of 0 in y 3.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.197 * [taylor]: Taking taylor expansion of 0.5 in y 3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.197 * [taylor]: Taking taylor expansion of y in y 3.205 * [taylor]: Taking taylor expansion of 0 in y 3.206 * [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 3.206 * [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 3.206 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.206 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.206 * [taylor]: Taking taylor expansion of x in y 3.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.206 * [taylor]: Taking taylor expansion of x in y 3.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.206 * [taylor]: Taking taylor expansion of 4.0 in y 3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.207 * [taylor]: Taking taylor expansion of y in y 3.208 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.208 * [taylor]: Taking taylor expansion of 4.0 in y 3.208 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.208 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.208 * [taylor]: Taking taylor expansion of x in y 3.208 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.208 * [taylor]: Taking taylor expansion of 4.0 in y 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.208 * [taylor]: Taking taylor expansion of y in y 3.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.209 * [taylor]: Taking taylor expansion of y in y 3.210 * [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 3.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.210 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.211 * [taylor]: Taking taylor expansion of 4.0 in x 3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.211 * [taylor]: Taking taylor expansion of y in x 3.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.212 * [taylor]: Taking taylor expansion of 4.0 in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.212 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.212 * [taylor]: Taking taylor expansion of x in x 3.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.212 * [taylor]: Taking taylor expansion of 4.0 in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.212 * [taylor]: Taking taylor expansion of y in x 3.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.213 * [taylor]: Taking taylor expansion of y in x 3.213 * [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 3.213 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.213 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.213 * [taylor]: Taking taylor expansion of x in x 3.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.213 * [taylor]: Taking taylor expansion of x in x 3.214 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.214 * [taylor]: Taking taylor expansion of 4.0 in x 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.214 * [taylor]: Taking taylor expansion of y in x 3.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.215 * [taylor]: Taking taylor expansion of 4.0 in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.215 * [taylor]: Taking taylor expansion of x in x 3.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.215 * [taylor]: Taking taylor expansion of 4.0 in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.216 * [taylor]: Taking taylor expansion of y in x 3.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.216 * [taylor]: Taking taylor expansion of y in x 3.216 * [taylor]: Taking taylor expansion of 1 in y 3.219 * [taylor]: Taking taylor expansion of 0 in y 3.222 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.222 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.222 * [taylor]: Taking taylor expansion of 8.0 in y 3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.222 * [taylor]: Taking taylor expansion of y in y 3.231 * [taylor]: Taking taylor expansion of 0 in y 3.231 * [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 3.231 * [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 3.231 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.231 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.232 * [taylor]: Taking taylor expansion of x in y 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.232 * [taylor]: Taking taylor expansion of x in y 3.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.232 * [taylor]: Taking taylor expansion of 4.0 in y 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.233 * [taylor]: Taking taylor expansion of 4.0 in y 3.233 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.233 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.233 * [taylor]: Taking taylor expansion of x in y 3.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.233 * [taylor]: Taking taylor expansion of 4.0 in y 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.233 * [taylor]: Taking taylor expansion of y in y 3.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.234 * [taylor]: Taking taylor expansion of y in y 3.235 * [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 3.235 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.235 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.236 * [taylor]: Taking taylor expansion of 4.0 in x 3.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.236 * [taylor]: Taking taylor expansion of y in x 3.237 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.237 * [taylor]: Taking taylor expansion of 4.0 in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.237 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.238 * [taylor]: Taking taylor expansion of 4.0 in x 3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.238 * [taylor]: Taking taylor expansion of y in x 3.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.238 * [taylor]: Taking taylor expansion of y in x 3.238 * [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 3.238 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.238 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.238 * [taylor]: Taking taylor expansion of x in x 3.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.238 * [taylor]: Taking taylor expansion of x in x 3.239 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.239 * [taylor]: Taking taylor expansion of 4.0 in x 3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.239 * [taylor]: Taking taylor expansion of y in x 3.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.240 * [taylor]: Taking taylor expansion of 4.0 in x 3.240 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.240 * [taylor]: Taking taylor expansion of x in x 3.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.241 * [taylor]: Taking taylor expansion of 4.0 in x 3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.241 * [taylor]: Taking taylor expansion of y in x 3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.241 * [taylor]: Taking taylor expansion of y in x 3.242 * [taylor]: Taking taylor expansion of 1 in y 3.244 * [taylor]: Taking taylor expansion of 0 in y 3.249 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.249 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.250 * [taylor]: Taking taylor expansion of 8.0 in y 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.250 * [taylor]: Taking taylor expansion of y in y 3.259 * [taylor]: Taking taylor expansion of 0 in y 3.259 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.259 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 3.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.259 * [taylor]: Taking taylor expansion of x in y 3.259 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.259 * [taylor]: Taking taylor expansion of 4.0 in y 3.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.259 * [taylor]: Taking taylor expansion of y in y 3.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.259 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.259 * [taylor]: Taking taylor expansion of 4.0 in x 3.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.259 * [taylor]: Taking taylor expansion of y in x 3.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.259 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.259 * [taylor]: Taking taylor expansion of 4.0 in x 3.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.259 * [taylor]: Taking taylor expansion of y in x 3.260 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.260 * [taylor]: Taking taylor expansion of 4.0 in y 3.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.260 * [taylor]: Taking taylor expansion of y in y 3.260 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [taylor]: Taking taylor expansion of 1 in y 3.264 * [taylor]: Taking taylor expansion of 0 in y 3.267 * [taylor]: Taking taylor expansion of 0 in y 3.268 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.268 * [taylor]: Taking taylor expansion of 4.0 in y 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.268 * [taylor]: Taking taylor expansion of y in y 3.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.268 * [taylor]: Taking taylor expansion of x in x 3.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.269 * [taylor]: Taking taylor expansion of 4.0 in x 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.270 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.270 * [taylor]: Taking taylor expansion of 4.0 in x 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.270 * [taylor]: Taking taylor expansion of y in x 3.270 * [taylor]: Taking taylor expansion of 1 in y 3.271 * [taylor]: Taking taylor expansion of 0 in y 3.272 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.272 * [taylor]: Taking taylor expansion of 4.0 in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.275 * [taylor]: Taking taylor expansion of 0 in y 3.279 * [taylor]: Taking taylor expansion of 0 in y 3.281 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.281 * [taylor]: Taking taylor expansion of x in y 3.281 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.281 * [taylor]: Taking taylor expansion of 4.0 in y 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.281 * [taylor]: Taking taylor expansion of y in y 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.282 * [taylor]: Taking taylor expansion of 4.0 in x 3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.282 * [taylor]: Taking taylor expansion of y in x 3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.282 * [taylor]: Taking taylor expansion of x in x 3.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.283 * [taylor]: Taking taylor expansion of 4.0 in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.283 * [taylor]: Taking taylor expansion of y in x 3.283 * [taylor]: Taking taylor expansion of 1 in y 3.284 * [taylor]: Taking taylor expansion of 0 in y 3.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.285 * [taylor]: Taking taylor expansion of 4.0 in y 3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.285 * [taylor]: Taking taylor expansion of y in y 3.288 * [taylor]: Taking taylor expansion of 0 in y 3.292 * [taylor]: Taking taylor expansion of 0 in y 3.293 * * * [progress]: simplifying candidates 3.295 * [simplify]: Simplifying using # : (- (+ (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)))) (- (+ (+ (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)))) (/ (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))) 3.299 * * [simplify]: iteration 0 : 142 enodes (cost 2132 ) 3.331 * * [simplify]: iteration 1 : 386 enodes (cost 2013 ) 3.438 * * [simplify]: iteration 2 : 1576 enodes (cost 1747 ) 3.829 * * [simplify]: iteration done : 5001 enodes (cost 1747 ) 3.830 * [simplify]: Simplified to: (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)))) (* x x) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow x 6) (pow (* 4.0 (pow y 2)) 3))) (/ (* x x) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) (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)))) (* 4.0 (pow y 2)) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* 4.0 (pow y 2)) (+ (pow x 6) (pow (* 4.0 (pow y 2)) 3))) (* (/ (* y 4.0) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) 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)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3)))) (* (+ (* 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)) (+ (/ (pow x 4) (* (+ (* x x) (* (* 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)))) (- (/ (pow x 4) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (/ (* (* 4.0 4.0) (pow y 3)) (/ (+ (* x x) (* (* y 4.0) y)) 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 6) (pow (* 4.0 (pow y 2)) 3))) (/ (* 4.0 (pow y 2)) (+ (pow x 6) (pow (* 4.0 (pow y 2)) 3)))) (- (/ (* x x) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) (* (/ (* y 4.0) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) 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 (+ (pow x 2) (* 4.0 (pow y 2))) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* 4.0 (pow y 2)) 3)) (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3)))) (- (* 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))) 3.832 * * * [progress]: adding candidates to table 4.021 * [progress]: [Phase 3 of 3] Extracting. 4.021 * * [regime]: Finding splitpoints for: (# # # #) 4.022 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 4.022 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 4.042 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 4.063 * * * * [regimes]: Trying to branch on y from (# # # #) 4.102 * * * * [regimes]: Trying to branch on x from (# # # #) 4.137 * * * [regime]: Found split indices: #