14.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.023 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.026 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.030 * * [simplify]: iteration 2 : 78 enodes (cost 9 ) 0.033 * * [simplify]: iteration 3 : 134 enodes (cost 9 ) 0.038 * * [simplify]: iteration 4 : 200 enodes (cost 9 ) 0.043 * * [simplify]: iteration 5 : 233 enodes (cost 9 ) 0.048 * * [simplify]: iteration 6 : 239 enodes (cost 9 ) 0.053 * * [simplify]: iteration 7 : 239 enodes (cost 9 ) 0.053 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.080 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.087 * [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 0.087 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.087 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of 4.0 in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of 4.0 in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of 4.0 in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of 4.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of 4.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of 4.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of -1.0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.095 * [taylor]: Taking taylor expansion of 0.5 in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [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 0.104 * [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 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of 4.0 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of 4.0 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.108 * [taylor]: Taking taylor expansion of 4.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.109 * [taylor]: Taking taylor expansion of 4.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.111 * [taylor]: Taking taylor expansion of 4.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of 4.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.124 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of 8.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [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 0.133 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of 4.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of 4.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.137 * [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 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of 4.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of 4.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of 4.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of 4.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.148 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of 8.0 in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.158 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of 4.0 in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of 4.0 in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of 4.0 in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of 4.0 in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of 4.0 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of 4.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of 4.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.176 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of 4.0 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of 4.0 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [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)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [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 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of 4.0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.203 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.203 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of 4.0 in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of 4.0 in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of 4.0 in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of 4.0 in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of 4.0 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of 4.0 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.222 * [taylor]: Taking taylor expansion of 4.0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of 4.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of 4.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of 4.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of 4.0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.248 * * * [progress]: simplifying candidates 0.249 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.256 * * [simplify]: iteration 0 : 254 enodes (cost 719 ) 0.265 * * [simplify]: iteration 1 : 1175 enodes (cost 657 ) 0.298 * * [simplify]: iteration 2 : 5001 enodes (cost 641 ) 0.302 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (pow x 2)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (log (* (fma x x (* (* y 4.0) y)) 1)) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (fma x x (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6)) (fma (pow y 2) (* 4.0 (- (* (* y 4.0) y) (pow x 2))) (pow x 4)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) 0.303 * * * [progress]: adding candidates to table 0.473 * * [progress]: iteration 2 / 4 0.473 * * * [progress]: picking best candidate 0.482 * * * * [pick]: Picked # 0.482 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.483 * * * [progress]: generating series expansions 0.483 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying using # : 0.486 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.486 * [simplify]: Simplified to: 0.486 * * * [progress]: adding candidates to table 0.486 * * [progress]: iteration 3 / 4 0.486 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.526 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.527 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.533 * * * [progress]: generating series expansions 0.533 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.533 * [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 0.533 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.533 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of 4.0 in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of 4.0 in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.534 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of 4.0 in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of 4.0 in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of 4.0 in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of 4.0 in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of -1.0 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.542 * [taylor]: Taking taylor expansion of 0.5 in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [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 0.551 * [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 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.551 * [taylor]: Taking taylor expansion of 4.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of 4.0 in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.555 * [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 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of 4.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.556 * [taylor]: Taking taylor expansion of 4.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.557 * [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 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of 4.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.559 * [taylor]: Taking taylor expansion of 4.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.567 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of 8.0 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [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 0.576 * [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 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of 4.0 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of 4.0 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.581 * [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 0.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 4.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of 4.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.584 * [taylor]: Taking taylor expansion of 4.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.585 * [taylor]: Taking taylor expansion of 4.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of 1 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.592 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of 8.0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.601 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of 4.0 in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of 4.0 in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of 4.0 in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.602 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of 4.0 in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 1 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.619 * [taylor]: Taking taylor expansion of 4.0 in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of 4.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.621 * [taylor]: Taking taylor expansion of 4.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.624 * [taylor]: Taking taylor expansion of 4.0 in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.636 * [taylor]: Taking taylor expansion of 4.0 in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of 4.0 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of 4.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of 1 in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.642 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of 4.0 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.653 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.653 * [approximate]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.653 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.653 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 0.653 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.653 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of 4.0 in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of 4.0 in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.654 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.654 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.654 * [taylor]: Taking taylor expansion of 1 in x 0.654 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.654 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of 4.0 in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of 4.0 in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (log1p (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.661 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))))) 0.661 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 0.661 * [taylor]: Taking taylor expansion of 1 in x 0.661 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.661 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of 4.0 in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of 4.0 in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 0.5 (pow y 2)))) in y 0.668 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.668 * [taylor]: Taking taylor expansion of 2 in y 0.668 * [taylor]: Taking taylor expansion of (log x) in y 0.668 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (log (/ 0.5 (pow y 2))) in y 0.668 * [taylor]: Taking taylor expansion of (/ 0.5 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of 0.5 in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of (/ -0.25 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of -0.25 in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [approximate]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.710 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.710 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.710 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.710 * [taylor]: Taking taylor expansion of 1 in y 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of 4.0 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of 4.0 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.723 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.723 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.723 * [taylor]: Taking taylor expansion of 1 in x 0.723 * [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 0.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.723 * [taylor]: Taking taylor expansion of 4.0 in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.724 * [taylor]: Taking taylor expansion of 4.0 in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.726 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.726 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.726 * [taylor]: Taking taylor expansion of 1 in x 0.726 * [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 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of 4.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of 4.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (log 2) in y 0.729 * [taylor]: Taking taylor expansion of 2 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of (/ -4.0 (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of -4.0 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [approximate]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.750 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.750 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.750 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 0.750 * [taylor]: Taking taylor expansion of 1 in y 0.750 * [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 0.750 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of 4.0 in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of 4.0 in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.763 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.763 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.763 * [taylor]: Taking taylor expansion of 1 in x 0.763 * [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 0.763 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.763 * [taylor]: Taking taylor expansion of 4.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of 4.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of (log1p (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.766 * [taylor]: Rewrote expression to (log (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 0.766 * [taylor]: Taking taylor expansion of (+ 1 (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 0.766 * [taylor]: Taking taylor expansion of 1 in x 0.766 * [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 0.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.767 * [taylor]: Taking taylor expansion of 4.0 in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.768 * [taylor]: Taking taylor expansion of 4.0 in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of (log 2) in y 0.769 * [taylor]: Taking taylor expansion of 2 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of (/ -4.0 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of -4.0 in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.792 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.792 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of 4.0 in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.792 * [taylor]: Taking taylor expansion of 4.0 in x 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.792 * [taylor]: Taking taylor expansion of 4.0 in x 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of 4.0 in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [taylor]: Taking taylor expansion of 1 in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.806 * [taylor]: Taking taylor expansion of 4.0 in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.808 * [taylor]: Taking taylor expansion of 4.0 in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.808 * [taylor]: Taking taylor expansion of y in x 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.808 * [taylor]: Taking taylor expansion of 4.0 in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.808 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of 1 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.812 * [taylor]: Taking taylor expansion of 4.0 in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.821 * [taylor]: Taking taylor expansion of 4.0 in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of 4.0 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of 4.0 in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of 1 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.826 * [taylor]: Taking taylor expansion of 4.0 in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.835 * * * [progress]: simplifying candidates 0.836 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (+ 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (expm1 (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log1p (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (exp (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (* (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (+ (log 0.5) (* 2 (log x))) (* 2 (log y))) (log 2) (log 2) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.843 * * [simplify]: iteration 0 : 282 enodes (cost 868 ) 0.851 * * [simplify]: iteration 1 : 1235 enodes (cost 783 ) 0.880 * * [simplify]: iteration 2 : 5001 enodes (cost 764 ) 0.885 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (pow x 2)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) (fma 1 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (log1p (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (exp (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (pow (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (log (* (fma x x (* (* y 4.0) y)) 1)) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (fma x x (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6)) (fma (pow y 2) (* 4.0 (- (* (* y 4.0) y) (pow x 2))) (pow x 4)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (fma 2 (- (log x) (log y)) (log 0.5)) (log 2) (log 2) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)) 0.886 * * * [progress]: adding candidates to table 1.097 * * [progress]: iteration 4 / 4 1.097 * * * [progress]: picking best candidate 1.102 * * * * [pick]: Picked # 1.103 * * * [progress]: localizing error 1.116 * * * [progress]: generating rewritten candidates 1.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.126 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.152 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.152 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.152 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of 4.0 in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of 4.0 in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.153 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of 4.0 in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of 4.0 in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of 4.0 in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of 4.0 in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of -1.0 in y 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.165 * [taylor]: Taking taylor expansion of 0.5 in y 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of 0 in y 1.173 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.173 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.173 * [taylor]: Taking taylor expansion of x in y 1.173 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.173 * [taylor]: Taking taylor expansion of 4.0 in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.174 * [taylor]: Taking taylor expansion of x in y 1.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.174 * [taylor]: Taking taylor expansion of 4.0 in y 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.178 * [taylor]: Taking taylor expansion of 4.0 in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.179 * [taylor]: Taking taylor expansion of 4.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.179 * [taylor]: Taking taylor expansion of y in x 1.180 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.180 * [taylor]: Taking taylor expansion of 4.0 in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of 4.0 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of 1 in y 1.185 * [taylor]: Taking taylor expansion of 0 in y 1.188 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.189 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.189 * [taylor]: Taking taylor expansion of 8.0 in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.198 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.198 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.198 * [taylor]: Taking taylor expansion of x in y 1.198 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.198 * [taylor]: Taking taylor expansion of 4.0 in y 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.199 * [taylor]: Taking taylor expansion of x in y 1.199 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.199 * [taylor]: Taking taylor expansion of 4.0 in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.203 * [taylor]: Taking taylor expansion of 4.0 in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of 4.0 in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.205 * [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 x 1.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.206 * [taylor]: Taking taylor expansion of 4.0 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.207 * [taylor]: Taking taylor expansion of 4.0 in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.208 * [taylor]: Taking taylor expansion of 1 in y 1.210 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.214 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.214 * [taylor]: Taking taylor expansion of 8.0 in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.223 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.223 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.223 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.223 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.223 * [taylor]: Taking taylor expansion of x in y 1.223 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.223 * [taylor]: Taking taylor expansion of 4.0 in y 1.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.223 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.224 * [taylor]: Taking taylor expansion of 4.0 in y 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.224 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.224 * [taylor]: Taking taylor expansion of 4.0 in x 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.224 * [taylor]: Taking taylor expansion of 4.0 in x 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.225 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of 4.0 in x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of 4.0 in x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of -1.0 in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.231 * [taylor]: Taking taylor expansion of 0.5 in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.240 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.240 * [taylor]: Taking taylor expansion of x in y 1.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.240 * [taylor]: Taking taylor expansion of 4.0 in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.241 * [taylor]: Taking taylor expansion of x in y 1.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.241 * [taylor]: Taking taylor expansion of 4.0 in y 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.241 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.244 * [taylor]: Taking taylor expansion of 4.0 in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.245 * [taylor]: Taking taylor expansion of 4.0 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.247 * [taylor]: Taking taylor expansion of 4.0 in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.248 * [taylor]: Taking taylor expansion of 4.0 in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.249 * [taylor]: Taking taylor expansion of 1 in y 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.255 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.255 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.255 * [taylor]: Taking taylor expansion of 8.0 in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.268 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.269 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.269 * [taylor]: Taking taylor expansion of x in y 1.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.269 * [taylor]: Taking taylor expansion of 4.0 in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.270 * [taylor]: Taking taylor expansion of x in y 1.270 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.270 * [taylor]: Taking taylor expansion of 4.0 in y 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.273 * [taylor]: Taking taylor expansion of 4.0 in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.274 * [taylor]: Taking taylor expansion of 4.0 in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.275 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.276 * [taylor]: Taking taylor expansion of 4.0 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.276 * [taylor]: Taking taylor expansion of y in x 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of 4.0 in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of 1 in y 1.280 * [taylor]: Taking taylor expansion of 0 in y 1.284 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.284 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.284 * [taylor]: Taking taylor expansion of 8.0 in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of 0 in y 1.293 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.293 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.293 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.293 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.293 * [taylor]: Taking taylor expansion of x in y 1.293 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.293 * [taylor]: Taking taylor expansion of 4.0 in y 1.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.294 * [taylor]: Taking taylor expansion of x in y 1.294 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.294 * [taylor]: Taking taylor expansion of 4.0 in y 1.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.294 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.294 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.294 * [taylor]: Taking taylor expansion of 4.0 in x 1.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.294 * [taylor]: Taking taylor expansion of 4.0 in x 1.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.295 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.295 * [taylor]: Taking taylor expansion of 4.0 in x 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.295 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.295 * [taylor]: Taking taylor expansion of 4.0 in x 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.295 * [taylor]: Taking taylor expansion of y in x 1.296 * [taylor]: Taking taylor expansion of -1.0 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.302 * [taylor]: Taking taylor expansion of 0.5 in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.310 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.311 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.311 * [taylor]: Taking taylor expansion of x in y 1.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.311 * [taylor]: Taking taylor expansion of 4.0 in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.311 * [taylor]: Taking taylor expansion of x in y 1.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.312 * [taylor]: Taking taylor expansion of 4.0 in y 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.315 * [taylor]: Taking taylor expansion of 4.0 in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.316 * [taylor]: Taking taylor expansion of 4.0 in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.317 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.318 * [taylor]: Taking taylor expansion of 4.0 in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.319 * [taylor]: Taking taylor expansion of 4.0 in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.319 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of 1 in y 1.323 * [taylor]: Taking taylor expansion of 0 in y 1.326 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.326 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.326 * [taylor]: Taking taylor expansion of 8.0 in y 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of 0 in y 1.336 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.336 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.336 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.336 * [taylor]: Taking taylor expansion of x in y 1.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.336 * [taylor]: Taking taylor expansion of 4.0 in y 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.336 * [taylor]: Taking taylor expansion of y in y 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.337 * [taylor]: Taking taylor expansion of x in y 1.337 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.337 * [taylor]: Taking taylor expansion of 4.0 in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.340 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.340 * [taylor]: Taking taylor expansion of 4.0 in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.341 * [taylor]: Taking taylor expansion of 4.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.341 * [taylor]: Taking taylor expansion of y in x 1.342 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.343 * [taylor]: Taking taylor expansion of 4.0 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.344 * [taylor]: Taking taylor expansion of 4.0 in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.344 * [taylor]: Taking taylor expansion of y in x 1.345 * [taylor]: Taking taylor expansion of 1 in y 1.348 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.351 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.351 * [taylor]: Taking taylor expansion of 8.0 in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.351 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of 0 in y 1.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.365 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 1.365 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.365 * [taylor]: Taking taylor expansion of 4.0 in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.365 * [taylor]: Taking taylor expansion of 4.0 in x 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.365 * [taylor]: Taking taylor expansion of y in x 1.365 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.365 * [taylor]: Taking taylor expansion of 4.0 in x 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.365 * [taylor]: Taking taylor expansion of y in x 1.365 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 1.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of 4.0 in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.367 * [taylor]: Taking taylor expansion of 0 in y 1.368 * [taylor]: Taking taylor expansion of 1 in y 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.376 * [taylor]: Taking taylor expansion of 0 in y 1.377 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.377 * [taylor]: Taking taylor expansion of x in y 1.377 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.377 * [taylor]: Taking taylor expansion of 4.0 in y 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.377 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.379 * [taylor]: Taking taylor expansion of 4.0 in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.379 * [taylor]: Taking taylor expansion of 4.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.380 * [taylor]: Taking taylor expansion of y in x 1.380 * [taylor]: Taking taylor expansion of 1 in y 1.381 * [taylor]: Taking taylor expansion of 0 in y 1.383 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.383 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.383 * [taylor]: Taking taylor expansion of 4.0 in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.387 * [taylor]: Taking taylor expansion of 0 in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.395 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.395 * [taylor]: Taking taylor expansion of x in y 1.395 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.395 * [taylor]: Taking taylor expansion of 4.0 in y 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.396 * [taylor]: Taking taylor expansion of 4.0 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.397 * [taylor]: Taking taylor expansion of 4.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.397 * [taylor]: Taking taylor expansion of y in x 1.398 * [taylor]: Taking taylor expansion of 1 in y 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.401 * [taylor]: Taking taylor expansion of 4.0 in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of 0 in y 1.410 * [taylor]: Taking taylor expansion of 0 in y 1.412 * * * [progress]: simplifying candidates 1.415 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* 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(+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ x (/ (fma x x (* (* y 4.0) y)) x)) (/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y)) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 -1.0 1 1 -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 1.475 * * * [progress]: adding candidates to table 1.868 * [progress]: [Phase 3 of 3] Extracting. 1.868 * * [regime]: Finding splitpoints for: (# # # # #) 1.869 * * * [regime-changes]: Trying 5 branch expressions: ((* (* y 4.0) y) (* x x) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) y x) 1.869 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # # #) 1.897 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.924 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # # # #) 1.943 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.997 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.038 * * * [regime]: Found split indices: #