18.993 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.032 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.034 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.047 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.059 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.099 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.099 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.102 * * [progress]: iteration 1 / 4 0.102 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.126 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.135 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.142 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.142 * [taylor]: Taking taylor expansion of (+ x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (- x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.142 * [taylor]: Taking taylor expansion of (+ x y) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (- x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.143 * [taylor]: Taking taylor expansion of (+ x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (- x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of 2 in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.153 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.158 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.171 * [taylor]: Taking taylor expansion of 2 in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.182 * [taylor]: Taking taylor expansion of -1 in x 0.182 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.182 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.196 * [taylor]: Taking taylor expansion of 2 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.205 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.205 * [taylor]: Taking taylor expansion of (+ x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (- x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.205 * [taylor]: Taking taylor expansion of (+ x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (- x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.205 * [taylor]: Taking taylor expansion of (+ x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (- x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of -1 in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.227 * [taylor]: Taking taylor expansion of -1 in y 0.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.245 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.245 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * * * [progress]: simplifying candidates 0.274 * [simplify]: Simplifying using # : (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (* (- x y) (+ x y)) (+ (log (- x y)) (log (+ x y))) (log (* (- x y) (+ x y))) (exp (* (- x y) (+ x y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (cbrt (* (- x y) (+ x y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (- x y)) (* (sqrt (- x y)) (sqrt (+ x y))) (* (sqrt (- x y)) (sqrt (+ x y))) (* (- x y) x) (* (- x y) y) (* x (- x y)) (* y (- x y)) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (* (- x y) 1) (* (- x y) 1) (* (cbrt (- x y)) (+ x y)) (* (sqrt (- x y)) (+ x y)) (* (- x y) (+ x y)) (* (- (sqrt x) (sqrt y)) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ (pow x 3) (pow y 3))) (* (- x y) (- (* x x) (* y y))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.280 * * [simplify]: iteration 0 : 435 enodes (cost 575 ) 0.290 * * [simplify]: iteration 1 : 2499 enodes (cost 504 ) 0.335 * * [simplify]: iteration 2 : 5001 enodes (cost 494 ) 0.339 * [simplify]: Simplified to: (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (exp (/ (- x y) (fma x x (* y y)))) (+ x y)) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (* (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (- x y)) (* (/ (+ x y) (fma (- (pow y 3)) y (pow x 4))) (- x y)) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (* (- x y) (+ x y)) (log (* (- x y) (+ x y))) (log (* (- x y) (+ x y))) (exp (* (- x y) (+ x y))) (pow (* (- x y) (+ x y)) 3) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (cbrt (* (- x y) (+ x y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (- (* y y) (* x y))) (fma x x (fma y y (* x y)))) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- x y) (fma x x (fma y y (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma x x (- (* y y) (* x y))) (+ x y)) (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y)) (* (sqrt (- x y)) (sqrt (+ x y))) (* (sqrt (- x y)) (sqrt (+ x y))) (* (- x y) x) (* (- x y) y) (* (- x y) x) (* (- x y) y) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (- x y) (- x y) (* (cbrt (- x y)) (+ x y)) (* (sqrt (- x y)) (+ x y)) (* (- x y) (+ x y)) (* (- (sqrt x) (sqrt y)) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ (pow x 3) (pow y 3))) (* (- x y) (- (* x x) (* y y))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.339 * * * [progress]: adding candidates to table 0.499 * * [progress]: iteration 2 / 4 0.499 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.517 * * * [progress]: generating rewritten candidates 0.517 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.553 * * * [progress]: generating series expansions 0.553 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.554 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.554 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 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 (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of 2 in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of 1 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of 2 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 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.584 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of 1 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of 2 in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.607 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (- x y) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (- x y) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (- x y) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of (- y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.613 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.614 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.625 * [taylor]: Taking taylor expansion of -1 in y 0.625 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 1 in y 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.641 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.641 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.672 * [approximate]: Taking taylor expansion of (* y (- x y)) in (x y) around 0 0.672 * [taylor]: Taking taylor expansion of (* y (- x y)) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (- x y) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (- x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (- x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.672 * [taylor]: Taking taylor expansion of -1 in y 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in y 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in y 0.693 * [taylor]: Taking taylor expansion of -1 in y 0.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in y 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 0.694 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 0.695 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.709 * * * [progress]: simplifying candidates 0.710 * [simplify]: Simplifying using # : (expm1 (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (log1p (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (- (log (+ (* (- x y) x) (* (- x y) y))) (log (+ (* x x) (* y y)))) (log (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (exp (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (/ (* (* (+ (* (- x y) x) (* (- x y) y)) (+ (* (- x y) x) (* (- x y) y))) (+ (* (- x y) x) (* (- x y) y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (* (* (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (- (+ (* (- x y) x) (* (- x y) y))) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) 1) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (+ (* x x) (* y y))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) 1) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ (* (- x y) x) (* (- x y) y)) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ (* (- x y) x) (* (- x y) y))) (/ (+ (* (- x y) x) (* (- x y) y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ (* (- x y) x) (* (- x y) y)) (sqrt (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) 1) (/ (+ (* x x) (* y y)) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (/ (+ (* x x) (* y y)) (sqrt (+ (* (- x y) x) (* (- x y) y)))) (/ (+ (* x x) (* y y)) (+ (* (- x y) x) (* (- x y) y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ (* (- x y) x) (* (- x y) y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (+ (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (+ x y))) (* (+ (* x x) (* y y)) (+ (* (* (- x y) x) (* (- x y) x)) (- (* (* (- x y) y) (* (- x y) y)) (* (* (- x y) x) (* (- x y) y))))) (* (+ (* x x) (* y y)) (- (* (- x y) x) (* (- x y) y))) (expm1 (* (- x y) x)) (log1p (* (- x y) x)) (* (- x y) x) (+ (log (- x y)) (log x)) (log (* (- x y) x)) (exp (* (- x y) x)) (* (* (* (- x y) (- x y)) (- x y)) (* (* x x) x)) (* (cbrt (* (- x y) x)) (cbrt (* (- x y) x))) (cbrt (* (- x y) x)) (* (* (* (- x y) x) (* (- x y) x)) (* (- x y) x)) (sqrt (* (- x y) x)) (sqrt (* (- x y) x)) (* (sqrt (- x y)) (sqrt x)) (* (sqrt (- x y)) (sqrt x)) (* (- x y) (* (cbrt x) (cbrt x))) (* (- x y) (sqrt x)) (* (- x y) 1) (* (cbrt (- x y)) x) (* (sqrt (- x y)) x) (* (- x y) x) (* (- (sqrt x) (sqrt y)) x) (* (- x y) x) (* (- (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (expm1 (+ (* (- x y) x) (* (- x y) y))) (log1p (+ (* (- x y) x) (* (- x y) y))) (* (exp (* (- x y) x)) (exp (* (- x y) y))) (log (+ (* (- x y) x) (* (- x y) y))) (exp (+ (* (- x y) x) (* (- x y) y))) (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (cbrt (+ (* (- x y) x) (* (- x y) y))) (* (* (+ (* (- x y) x) (* (- x y) y)) (+ (* (- x y) x) (* (- x y) y))) (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* (- x y) x) (* (- x y) y))) (+ (* (* (- (pow x 3) (pow y 3)) x) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (+ (* y y) (* x y))) (* (- (pow x 3) (pow y 3)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (+ (* (* (- (pow x 3) (pow y 3)) x) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (+ (* y y) (* x y)))) (* (+ x y) (* (- (pow x 3) (pow y 3)) y))) (* (+ x y) (+ (* x x) (+ (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (+ x y)) (* (+ x y) (* (- (* x x) (* y y)) y))) (* (+ x y) (+ x y)) (+ (pow (* (- x y) x) 3) (pow (* (- x y) y) 3)) (+ (* (* (- x y) x) (* (- x y) x)) (- (* (* (- x y) y) (* (- x y) y)) (* (* (- x y) x) (* (- x y) y)))) (- (* (* (- x y) x) (* (- x y) x)) (* (* (- x y) y) (* (- x y) y))) (- (* (- x y) x) (* (- x y) y)) (+ x y) (expm1 (* (- x y) y)) (log1p (* (- x y) y)) (* (- x y) y) (+ (log (- x y)) (log y)) (log (* (- x y) y)) (exp (* (- x y) y)) (* (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (* (- x y) y)) (cbrt (* (- x y) y))) (cbrt (* (- x y) y)) (* (* (* (- x y) y) (* (- x y) y)) (* (- x y) y)) (sqrt (* (- x y) y)) (sqrt (* (- x y) y)) (* (sqrt (- x y)) (sqrt y)) (* (sqrt (- x y)) (sqrt y)) (* (- x y) (* (cbrt y) (cbrt y))) (* (- x y) (sqrt y)) (* (- x y) 1) (* (cbrt (- x y)) y) (* (sqrt (- x y)) y) (* (- x y) y) (* (- (sqrt x) (sqrt y)) y) (* (- x y) y) (* (- (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) -1 1 1 (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (* x y) (pow y 2)) (- (* x y) (pow y 2)) (- (* x y) (pow y 2)) 0.717 * * [simplify]: iteration 0 : 495 enodes (cost 928 ) 0.727 * * [simplify]: iteration 1 : 2352 enodes (cost 820 ) 0.774 * * [simplify]: iteration 2 : 5001 enodes (cost 802 ) 0.780 * [simplify]: Simplified to: (expm1 (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (log1p (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (- (log (- x y)) (log (/ (+ (* x x) (* y y)) (+ x y)))) (- (log (- x y)) (log (/ (+ (* x x) (* y y)) (+ x y)))) (exp (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (* (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (* (- (- x y)) (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (/ (hypot x y) (cbrt (+ (* (- x y) x) (* (- x y) y))))) (/ (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) 1) (hypot x y)) (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (+ (* x x) (* y y))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (hypot x y)) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (hypot x y)) (sqrt (+ (* (- x y) x) (* (- x y) y))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (fma x x (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ 1 (* (hypot x y) 1)) (/ (- x y) (/ (hypot x y) (+ x y))) 1 (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)) (- x y) (/ (* (+ x y) 1) (fma x x (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (/ (+ x y) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (/ (fma x x (* y y)) (sqrt (+ (* (- x y) x) (* (- x y) y)))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (fma x x (* y y)) (* 1 (+ x y))) (* (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (- x y)) (* (/ (+ x y) (fma (- (pow y 3)) y (pow x 4))) (- x y)) (* (* (fma x x (* y y)) (fma x x (fma y y (* x y)))) (fma x x (fma y y (* x y)))) (* (* (fma x x (* y y)) (+ x y)) (fma x x (fma y y (* x y)))) (* (* (fma x x (* y y)) (+ x y)) (fma x x (fma y y (* x y)))) (* (* (fma x x (* y y)) (+ x y)) (+ x y)) (* (+ (* (* (- x y) y) (- (* (- x y) y) (* (- x y) x))) (* (* (- x y) x) (* (- x y) x))) (fma x x (* y y))) (* (* (- x y) (- x y)) (fma x x (* y y))) (expm1 (* (- x y) x)) (log1p (* (- x y) x)) (* (- x y) x) (log (* (- x y) x)) (log (* (- x y) x)) (exp (* (- x y) x)) (pow (* (- x y) x) 3) (* (cbrt (* (- x y) x)) (cbrt (* (- x y) x))) (cbrt (* (- x y) x)) (pow (* (- x y) x) 3) (sqrt (* (- x y) x)) (sqrt (* (- x y) x)) (* (sqrt (- x y)) (sqrt x)) (* (sqrt (- x y)) (sqrt x)) (* (- x y) (* (cbrt x) (cbrt x))) (* (- x y) (sqrt x)) (- x y) (* (cbrt (- x y)) x) (* (sqrt (- x y)) x) (* (- x y) x) (* (- (sqrt x) (sqrt y)) x) (* (- x y) x) (* (- (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (expm1 (+ (* (- x y) x) (* (- x y) y))) (log1p (+ (* (- x y) x) (* (- x y) y))) (pow (exp (- x y)) (+ x y)) (+ (log (- x y)) (log (+ x y))) (pow (exp (- x y)) (+ x y)) (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (cbrt (+ (* (- x y) x) (* (- x y) y))) (pow (* (- x y) (+ x y)) 3) (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* (- x y) x) (* (- x y) y))) (* (fma x x (fma y y (* x y))) (+ (* (- (pow x 3) (pow y 3)) x) (* (- (pow x 3) (pow y 3)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (fma (- (pow x 3) (pow y 3)) (* x (+ x y)) (* (* (fma x x (fma y y (* x y))) (- (* x x) (* y y))) y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y)) (fma (* (- (* x x) (* y y)) x) (fma x x (fma y y (* x y))) (* (+ x y) (* (- (pow x 3) (pow y 3)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y)) (* (+ x y) (+ (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y))) (* (+ x y) (+ x y)) (* (pow (- x y) 3) (+ (pow y 3) (pow x 3))) (fma (* (- x y) x) (* (- x y) x) (* y (* (- x y) (* (- x y) (- y x))))) (* (* (- x y) (- x y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (+ x y) (expm1 (* (- x y) y)) (log1p (* (- x y) y)) (* (- x y) y) (log (* (- x y) y)) (log (* (- x y) y)) (exp (* (- x y) y)) (pow (* (- x y) y) 3) (* (cbrt (* (- x y) y)) (cbrt (* (- x y) y))) (cbrt (* (- x y) y)) (pow (* (- x y) y) 3) (sqrt (* (- x y) y)) (sqrt (* (- x y) y)) (* (sqrt (- x y)) (sqrt y)) (* (sqrt (- x y)) (sqrt y)) (* (- x y) (* (cbrt y) (cbrt y))) (* (- x y) (sqrt y)) (- x y) (* (cbrt (- x y)) y) (* (sqrt (- x y)) y) (* (- x y) y) (* (- (sqrt x) (sqrt y)) y) (* (- x y) y) (* (- (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) -1 1 1 (* (- x y) x) (* (- x y) x) (* (- x y) x) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) y) (* (- x y) y) (* (- x y) y) 0.780 * * * [progress]: adding candidates to table 0.999 * * [progress]: iteration 3 / 4 0.999 * * * [progress]: picking best candidate 1.004 * * * * [pick]: Picked # 1.004 * * * [progress]: localizing error 1.013 * * * [progress]: generating rewritten candidates 1.013 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.031 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.037 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.048 * * * [progress]: generating series expansions 1.048 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.049 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.049 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.049 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.049 * [taylor]: Taking taylor expansion of (+ x y) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (- x y) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.049 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.049 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.049 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.049 * [taylor]: Taking taylor expansion of (* x x) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of (* y y) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.051 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.051 * [taylor]: Taking taylor expansion of (+ x y) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (- x y) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.051 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.051 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.051 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.051 * [taylor]: Taking taylor expansion of (* x x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (* y y) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.053 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.053 * [taylor]: Taking taylor expansion of (+ x y) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (- x y) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.053 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.053 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.053 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.053 * [taylor]: Taking taylor expansion of (* x x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* y y) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of -1 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.059 * [taylor]: Taking taylor expansion of 2 in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.065 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.065 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.066 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.066 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.066 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.066 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.066 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.070 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.071 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.071 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.076 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.076 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.077 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.077 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.081 * [taylor]: Taking taylor expansion of 1 in y 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.089 * [taylor]: Taking taylor expansion of 2 in y 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of 0 in y 1.098 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.099 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.099 * [taylor]: Taking taylor expansion of -1 in y 1.099 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.099 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.104 * [taylor]: Taking taylor expansion of -1 in x 1.104 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.104 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.105 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.105 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.105 * [taylor]: Taking taylor expansion of -1 in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.105 * [taylor]: Taking taylor expansion of -1 in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.110 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.111 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.115 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.115 * [taylor]: Taking taylor expansion of -1 in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.115 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.115 * [taylor]: Taking taylor expansion of -1 in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of 2 in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.138 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.138 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.138 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.138 * [taylor]: Taking taylor expansion of (- x y) in y 1.138 * [taylor]: Taking taylor expansion of x in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.139 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.139 * [taylor]: Taking taylor expansion of (* x x) in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (* y y) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.140 * [taylor]: Taking taylor expansion of (- x y) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.140 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.140 * [taylor]: Taking taylor expansion of (* x x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (* y y) in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.141 * [taylor]: Taking taylor expansion of (- x y) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.142 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.142 * [taylor]: Taking taylor expansion of (* x x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* y y) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of -1 in y 1.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.146 * [taylor]: Taking taylor expansion of 1/2 in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.151 * [taylor]: Taking taylor expansion of 1/2 in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.151 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.157 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.157 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.157 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.157 * [taylor]: Taking taylor expansion of x in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.158 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.158 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.161 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.162 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.162 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.162 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.162 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.162 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.165 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.166 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.169 * [taylor]: Taking taylor expansion of 1 in y 1.170 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.175 * [taylor]: Taking taylor expansion of 1/2 in y 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.183 * [taylor]: Taking taylor expansion of 1/2 in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.183 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.189 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.189 * [taylor]: Taking taylor expansion of -1 in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.190 * [taylor]: Taking taylor expansion of -1 in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.190 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.190 * [taylor]: Taking taylor expansion of -1 in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.190 * [taylor]: Taking taylor expansion of -1 in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.196 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.196 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.196 * [taylor]: Taking taylor expansion of -1 in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.196 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.200 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.211 * [taylor]: Taking taylor expansion of 1/2 in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.219 * [taylor]: Taking taylor expansion of 1/2 in y 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.219 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.224 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.224 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 1.224 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.224 * [taylor]: Taking taylor expansion of (+ x y) in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.224 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.224 * [taylor]: Taking taylor expansion of (* x x) in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of (* y y) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.226 * [taylor]: Taking taylor expansion of (+ x y) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.226 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.226 * [taylor]: Taking taylor expansion of (* x x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* y y) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.227 * [taylor]: Taking taylor expansion of (+ x y) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.227 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.227 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.227 * [taylor]: Taking taylor expansion of (* x x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (* y y) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.229 * [taylor]: Taking taylor expansion of 1 in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.231 * [taylor]: Taking taylor expansion of 1/2 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 1.236 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.237 * [taylor]: Taking taylor expansion of 1/2 in y 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.237 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.242 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.243 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.243 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.247 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.247 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.251 * [taylor]: Taking taylor expansion of y in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.252 * [taylor]: Taking taylor expansion of y in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.252 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of 1 in y 1.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.256 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.260 * [taylor]: Taking taylor expansion of 1/2 in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.260 * [taylor]: Taking taylor expansion of y in y 1.268 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.268 * [taylor]: Taking taylor expansion of 1/2 in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.268 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.268 * [taylor]: Taking taylor expansion of y in y 1.274 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.274 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.274 * [taylor]: Taking taylor expansion of -1 in y 1.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.274 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.274 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.274 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.274 * [taylor]: Taking taylor expansion of -1 in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.274 * [taylor]: Taking taylor expansion of -1 in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.277 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.277 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.277 * [taylor]: Taking taylor expansion of -1 in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.277 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.277 * [taylor]: Taking taylor expansion of -1 in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.280 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.281 * [taylor]: Taking taylor expansion of -1 in x 1.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.281 * [taylor]: Taking taylor expansion of y in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.281 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.281 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.281 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.281 * [taylor]: Taking taylor expansion of -1 in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.282 * [taylor]: Taking taylor expansion of -1 in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.282 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.282 * [taylor]: Taking taylor expansion of -1 in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.282 * [taylor]: Taking taylor expansion of -1 in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.285 * [taylor]: Taking taylor expansion of -1 in x 1.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.285 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of -1 in y 1.291 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.296 * [taylor]: Taking taylor expansion of 1/2 in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.304 * [taylor]: Taking taylor expansion of 1/2 in y 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.305 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.305 * [taylor]: Taking taylor expansion of y in y 1.310 * * * [progress]: simplifying candidates 1.312 * [simplify]: Simplifying using # : (expm1 (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (+ (- (log (- x y)) (log (hypot x y))) (- (+ (log (+ x y)) 0) (log (hypot x y)))) (+ (- (log (- x y)) (log (hypot x y))) (- (+ (log (+ x y)) (log 1)) (log (hypot x y)))) (+ (- (log (- x y)) (log (hypot x y))) (- (log (* (+ x y) 1)) (log (hypot x y)))) (+ (- (log (- x y)) (log (hypot x y))) (log (/ (* (+ x y) 1) (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (- (+ (log (+ x y)) 0) (log (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (- (+ (log (+ x y)) (log 1)) (log (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (- (log (* (+ x y) 1)) (log (hypot x y)))) (+ (log (/ (- x y) (hypot x y))) (log (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (exp (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* 1 1) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (* (+ x y) 1) (* (+ x y) 1)) (* (+ x y) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (* (+ x y) 1) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (/ (* (+ x y) 1) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* 1 1) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (/ (* (* (* (+ x y) 1) (* (+ x y) 1)) (* (+ x y) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (* (/ (* (+ x y) 1) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (/ (* (+ x y) 1) (hypot x y)))) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (- x y) (* (+ x y) 1)) (* (hypot x y) (hypot x y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (* (+ x y) 1) (hypot x y))) (cbrt (/ (* (+ x y) 1) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) 1)) (* (/ (- x y) (hypot x y)) 1) (* (/ (- x y) (hypot x y)) (* (+ x y) 1)) (* (cbrt (/ (- x y) (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (sqrt (/ (- x y) (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ 1 (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (* (/ (- x y) (hypot x y)) (* (+ x y) 1)) (* (- x y) (/ (* (+ x y) 1) (hypot x y))) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (- (log (- x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (/ (- x y) 1) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y)))) (* (hypot x y) (+ x y)) (expm1 (/ (* (+ x y) 1) (hypot x y))) (log1p (/ (* (+ x y) 1) (hypot x y))) (- (+ (log (+ x y)) 0) (log (hypot x y))) (- (+ (log (+ x y)) (log 1)) (log (hypot x y))) (- (log (* (+ x y) 1)) (log (hypot x y))) (log (/ (* (+ x y) 1) (hypot x y))) (exp (/ (* (+ x y) 1) (hypot x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* 1 1) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (* (+ x y) 1) (* (+ x y) 1)) (* (+ x y) 1)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (* (+ x y) 1) (hypot x y))) (cbrt (/ (* (+ x y) 1) (hypot x y)))) (cbrt (/ (* (+ x y) 1) (hypot x y))) (* (* (/ (* (+ x y) 1) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))) (/ (* (+ x y) 1) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y))) (- (* (+ x y) 1)) (- (hypot x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ 1 (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) 1) (/ 1 (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (* (+ x y) 1)) (/ (* (+ x y) 1) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (* (+ x y) 1) (sqrt (hypot x y))) (/ (* (+ x y) 1) 1) (/ (hypot x y) 1) (* (hypot x y) (+ (* x x) (- (* y y) (* x y)))) (* (hypot x y) (- x y)) -1 1 1 -1 1 -1 1 1 -1 1.319 * * [simplify]: iteration 0 : 499 enodes (cost 1000 ) 1.328 * * [simplify]: iteration 1 : 2192 enodes (cost 852 ) 1.359 * * [simplify]: iteration 2 : 5003 enodes (cost 845 ) 1.365 * [simplify]: Simplified to: (expm1 (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (sqrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))) (* (+ x y) (- x y)) (* (hypot x y) (hypot x y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (* (+ x y) 1) (hypot x y))) (cbrt (/ (* (+ x y) 1) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (* (+ x y) 1) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (/ (* (/ (- x y) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (* (+ x y) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)) (* (+ x y) (/ (- x y) (hypot x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (+ x y)) (hypot x y)) (/ (* (sqrt (/ (- x y) (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (* (+ x y) (/ (- x y) (hypot x y))) (* (+ x y) (/ (- x y) (hypot x y))) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- y x) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) (expm1 (/ (* (+ x y) 1) (hypot x y))) (log1p (/ (* (+ x y) 1) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (pow (/ (+ x y) (hypot x y)) 3) (* (cbrt (/ (* (+ x y) 1) (hypot x y))) (cbrt (/ (* (+ x y) 1) (hypot x y)))) (cbrt (/ (* (+ x y) 1) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (sqrt (/ (* (+ x y) 1) (hypot x y))) (sqrt (/ (* (+ x y) 1) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (/ (+ x y) (cbrt (hypot x y))) (cbrt (hypot x y))) (/ 1 (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (+ x y) (/ 1 (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (/ (+ x y) (cbrt (hypot x y))) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (+ x y) (hypot x y) (* (hypot x y) (fma y (- y x) (* x x))) (* (hypot x y) (- x y)) -1 1 1 -1 1 -1 1 1 -1 1.365 * * * [progress]: adding candidates to table 1.581 * * [progress]: iteration 4 / 4 1.582 * * * [progress]: picking best candidate 1.587 * * * * [pick]: Picked # 1.587 * * * [progress]: localizing error 1.606 * * * [progress]: generating rewritten candidates 1.606 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.629 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.670 * * * [progress]: generating series expansions 1.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.670 * [approximate]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in (x y) around 0 1.670 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in y 1.670 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in y 1.670 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in y 1.670 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.670 * [taylor]: Taking taylor expansion of (+ x y) in y 1.670 * [taylor]: Taking taylor expansion of x in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.670 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.671 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.671 * [taylor]: Taking taylor expansion of (* x x) in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of (* y y) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in y 1.673 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in y 1.673 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.673 * [taylor]: Taking taylor expansion of (- x y) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.673 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.673 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.673 * [taylor]: Taking taylor expansion of (* x x) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of (* y y) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.674 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in x 1.676 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in x 1.676 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in x 1.676 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.676 * [taylor]: Taking taylor expansion of (+ x y) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.676 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.676 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.676 * [taylor]: Taking taylor expansion of (* x x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (* y y) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in x 1.677 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in x 1.677 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.677 * [taylor]: Taking taylor expansion of (- x y) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.677 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.677 * [taylor]: Taking taylor expansion of (* x x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* y y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in x 1.680 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in x 1.680 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in x 1.680 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.680 * [taylor]: Taking taylor expansion of (+ x y) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.680 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.680 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.680 * [taylor]: Taking taylor expansion of (* x x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* y y) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in x 1.681 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in x 1.681 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.681 * [taylor]: Taking taylor expansion of (- x y) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.681 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.682 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.682 * [taylor]: Taking taylor expansion of (* x x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (* y y) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (exp -1) in y 1.684 * [taylor]: Taking taylor expansion of -1 in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) (pow y 2))) in y 1.695 * [taylor]: Taking taylor expansion of 2 in y 1.695 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow y 2)) in y 1.695 * [taylor]: Taking taylor expansion of (exp -1) in y 1.695 * [taylor]: Taking taylor expansion of -1 in y 1.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.695 * [taylor]: Taking taylor expansion of y in y 1.711 * [taylor]: Taking taylor expansion of 0 in y 1.711 * [approximate]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in (x y) around 0 1.711 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in y 1.711 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in y 1.711 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in y 1.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.711 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in y 1.715 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in y 1.715 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.715 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.716 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.725 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in x 1.725 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in x 1.725 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in x 1.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.726 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.726 * [taylor]: Taking taylor expansion of y in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.726 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in x 1.729 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x 1.729 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.729 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.730 * [taylor]: Taking taylor expansion of y in x 1.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.730 * [taylor]: Taking taylor expansion of y in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.731 * [taylor]: Taking taylor expansion of y in x 1.734 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in x 1.734 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in x 1.734 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in x 1.734 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.734 * [taylor]: Taking taylor expansion of y in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.734 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.738 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in x 1.738 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x 1.738 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.738 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.738 * [taylor]: Taking taylor expansion of y in x 1.738 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.739 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.739 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.739 * [taylor]: Taking taylor expansion of y in x 1.742 * [taylor]: Taking taylor expansion of E in y 1.746 * [taylor]: Taking taylor expansion of 0 in y 1.756 * [taylor]: Taking taylor expansion of (* -2 (/ E (pow y 2))) in y 1.756 * [taylor]: Taking taylor expansion of -2 in y 1.756 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.756 * [taylor]: Taking taylor expansion of E in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.771 * [taylor]: Taking taylor expansion of 0 in y 1.772 * [approximate]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in (x y) around 0 1.772 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in y 1.772 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in y 1.772 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in y 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.772 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.772 * [taylor]: Taking taylor expansion of y in y 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.772 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.772 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.772 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.773 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.773 * [taylor]: Taking taylor expansion of -1 in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in y 1.776 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.776 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.776 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.776 * [taylor]: Taking taylor expansion of x in y 1.776 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.777 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.777 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.777 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.777 * [taylor]: Taking taylor expansion of -1 in y 1.777 * [taylor]: Taking taylor expansion of x in y 1.777 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.777 * [taylor]: Taking taylor expansion of -1 in y 1.777 * [taylor]: Taking taylor expansion of x in y 1.777 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.777 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.777 * [taylor]: Taking taylor expansion of -1 in y 1.777 * [taylor]: Taking taylor expansion of y in y 1.777 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.777 * [taylor]: Taking taylor expansion of -1 in y 1.777 * [taylor]: Taking taylor expansion of y in y 1.781 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 1.781 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in x 1.781 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 1.781 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.781 * [taylor]: Taking taylor expansion of -1 in x 1.781 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.782 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.782 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.782 * [taylor]: Taking taylor expansion of -1 in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.782 * [taylor]: Taking taylor expansion of -1 in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.783 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.783 * [taylor]: Taking taylor expansion of -1 in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.783 * [taylor]: Taking taylor expansion of -1 in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 1.786 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.786 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.786 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.786 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.786 * [taylor]: Taking taylor expansion of -1 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of y in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 1.792 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in x 1.792 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 1.792 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.793 * [taylor]: Taking taylor expansion of -1 in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.793 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.793 * [taylor]: Taking taylor expansion of -1 in x 1.793 * [taylor]: Taking taylor expansion of y in x 1.793 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.793 * [taylor]: Taking taylor expansion of -1 in x 1.793 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 1.796 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.796 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.796 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.797 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.797 * [taylor]: Taking taylor expansion of -1 in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.797 * [taylor]: Taking taylor expansion of -1 in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.797 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.797 * [taylor]: Taking taylor expansion of -1 in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.797 * [taylor]: Taking taylor expansion of -1 in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.802 * [taylor]: Taking taylor expansion of E in y 1.809 * [taylor]: Taking taylor expansion of 0 in y 1.820 * [taylor]: Taking taylor expansion of (* -2 (/ E (pow y 2))) in y 1.820 * [taylor]: Taking taylor expansion of -2 in y 1.820 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 1.820 * [taylor]: Taking taylor expansion of E in y 1.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.820 * [taylor]: Taking taylor expansion of y in y 1.838 * [taylor]: Taking taylor expansion of 0 in y 1.838 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.838 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.838 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.838 * [taylor]: Taking taylor expansion of (- x y) in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.838 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.838 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.838 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.838 * [taylor]: Taking taylor expansion of (* x x) in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [taylor]: Taking taylor expansion of (* y y) in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.840 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.840 * [taylor]: Taking taylor expansion of (- x y) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.840 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.840 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.840 * [taylor]: Taking taylor expansion of (* x x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (* y y) in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.841 * [taylor]: Taking taylor expansion of (- x y) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.841 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.841 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.841 * [taylor]: Taking taylor expansion of (* x x) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (* y y) in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.846 * [taylor]: Taking taylor expansion of 1/2 in y 1.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.851 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.851 * [taylor]: Taking taylor expansion of 1/2 in y 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.851 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.856 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.856 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.856 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.856 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.856 * [taylor]: Taking taylor expansion of x in y 1.856 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.857 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.857 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.861 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.861 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.861 * [taylor]: Taking taylor expansion of y in x 1.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.865 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.865 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.865 * [taylor]: Taking taylor expansion of y in x 1.865 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.865 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.865 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.869 * [taylor]: Taking taylor expansion of 1 in y 1.870 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.870 * [taylor]: Taking taylor expansion of y in y 1.874 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.874 * [taylor]: Taking taylor expansion of 1/2 in y 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.874 * [taylor]: Taking taylor expansion of y in y 1.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.882 * [taylor]: Taking taylor expansion of 1/2 in y 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.882 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.890 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.890 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.890 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.890 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.891 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.891 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.891 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.891 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.891 * [taylor]: Taking taylor expansion of -1 in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.891 * [taylor]: Taking taylor expansion of -1 in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.891 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.891 * [taylor]: Taking taylor expansion of -1 in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.891 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.891 * [taylor]: Taking taylor expansion of -1 in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.894 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.894 * [taylor]: Taking taylor expansion of y in x 1.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.895 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.895 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.895 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.896 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.896 * [taylor]: Taking taylor expansion of -1 in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.896 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.896 * [taylor]: Taking taylor expansion of -1 in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.899 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.899 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.899 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.899 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.899 * [taylor]: Taking taylor expansion of -1 in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.900 * [taylor]: Taking taylor expansion of -1 in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.900 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.900 * [taylor]: Taking taylor expansion of -1 in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.900 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.900 * [taylor]: Taking taylor expansion of -1 in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.903 * [taylor]: Taking taylor expansion of -1 in y 1.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.904 * [taylor]: Taking taylor expansion of y in y 1.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.909 * [taylor]: Taking taylor expansion of 1/2 in y 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.909 * [taylor]: Taking taylor expansion of y in y 1.916 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.916 * [taylor]: Taking taylor expansion of 1/2 in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.916 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.922 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.922 * [approximate]: Taking taylor expansion of (log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) in (x y) around 0 1.922 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) in y 1.922 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in y 1.922 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in y 1.922 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in y 1.922 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.922 * [taylor]: Taking taylor expansion of (+ x y) in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.922 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.922 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.922 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.922 * [taylor]: Taking taylor expansion of (* x x) in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [taylor]: Taking taylor expansion of (* y y) in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.924 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in y 1.924 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in y 1.924 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.924 * [taylor]: Taking taylor expansion of (- x y) in y 1.924 * [taylor]: Taking taylor expansion of x in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.924 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.924 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.924 * [taylor]: Taking taylor expansion of (* x x) in y 1.924 * [taylor]: Taking taylor expansion of x in y 1.924 * [taylor]: Taking taylor expansion of x in y 1.924 * [taylor]: Taking taylor expansion of (* y y) in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.925 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) in x 1.925 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in x 1.925 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in x 1.925 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in x 1.925 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.925 * [taylor]: Taking taylor expansion of (+ x y) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.926 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.926 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.926 * [taylor]: Taking taylor expansion of (* x x) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (* y y) in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.927 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in x 1.927 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in x 1.927 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.927 * [taylor]: Taking taylor expansion of (- x y) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.927 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.927 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.927 * [taylor]: Taking taylor expansion of (* x x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of (* y y) in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) in x 1.930 * [taylor]: Taking taylor expansion of (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) in x 1.930 * [taylor]: Taking taylor expansion of (exp (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y)))))) in x 1.930 * [taylor]: Taking taylor expansion of (* (/ (+ x y) (hypot x y)) (log (exp (/ (- x y) (hypot x y))))) in x 1.930 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.930 * [taylor]: Taking taylor expansion of (+ x y) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.930 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.930 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.930 * [taylor]: Taking taylor expansion of (* x x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (* y y) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.931 * [taylor]: Taking taylor expansion of (log (exp (/ (- x y) (hypot x y)))) in x 1.931 * [taylor]: Taking taylor expansion of (exp (/ (- x y) (hypot x y))) in x 1.932 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.932 * [taylor]: Taking taylor expansion of (- x y) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.932 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.932 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.932 * [taylor]: Taking taylor expansion of (* x x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (* y y) in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.935 * [taylor]: Taking taylor expansion of -1 in y 1.938 * [taylor]: Taking taylor expansion of 0 in y 1.947 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 1.947 * [taylor]: Taking taylor expansion of 2 in y 1.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.947 * [taylor]: Taking taylor expansion of y in y 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [approximate]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))))) in (x y) around 0 1.962 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))))) in y 1.962 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in y 1.962 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in y 1.962 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in y 1.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.963 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.963 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.969 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in y 1.969 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in y 1.969 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.969 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.969 * [taylor]: Taking taylor expansion of x in y 1.969 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.969 * [taylor]: Taking taylor expansion of y in y 1.969 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.970 * [taylor]: Taking taylor expansion of x in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.970 * [taylor]: Taking taylor expansion of x in y 1.970 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.970 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.970 * [taylor]: Taking taylor expansion of y in y 1.975 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))))) in x 1.975 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in x 1.975 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in x 1.975 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in x 1.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.976 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.979 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in x 1.979 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x 1.979 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.979 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))))) in x 1.984 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y)))) in x 1.984 * [taylor]: Taking taylor expansion of (exp (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))))) in x 1.984 * [taylor]: Taking taylor expansion of (* (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))) in x 1.984 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.988 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))))) in x 1.988 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x 1.988 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.988 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.988 * [taylor]: Taking taylor expansion of y in x 1.988 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.988 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.988 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.988 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.989 * [taylor]: Taking taylor expansion of y in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.989 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of 1 in y 1.996 * [taylor]: Taking taylor expansion of 0 in y 2.007 * [taylor]: Taking taylor expansion of (/ -2 (pow y 2)) in y 2.007 * [taylor]: Taking taylor expansion of -2 in y 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.024 * [taylor]: Taking taylor expansion of 0 in y 2.024 * [approximate]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in (x y) around 0 2.024 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in y 2.024 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in y 2.024 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in y 2.024 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in y 2.024 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 2.024 * [taylor]: Taking taylor expansion of -1 in y 2.024 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.024 * [taylor]: Taking taylor expansion of y in y 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.025 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.025 * [taylor]: Taking taylor expansion of -1 in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.025 * [taylor]: Taking taylor expansion of -1 in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.025 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.025 * [taylor]: Taking taylor expansion of -1 in y 2.025 * [taylor]: Taking taylor expansion of y in y 2.025 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.025 * [taylor]: Taking taylor expansion of -1 in y 2.025 * [taylor]: Taking taylor expansion of y in y 2.029 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in y 2.029 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 2.029 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.029 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.029 * [taylor]: Taking taylor expansion of x in y 2.029 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.029 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.029 * [taylor]: Taking taylor expansion of -1 in y 2.029 * [taylor]: Taking taylor expansion of x in y 2.029 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.029 * [taylor]: Taking taylor expansion of -1 in y 2.029 * [taylor]: Taking taylor expansion of x in y 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.029 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.029 * [taylor]: Taking taylor expansion of -1 in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.030 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.030 * [taylor]: Taking taylor expansion of -1 in y 2.030 * [taylor]: Taking taylor expansion of y in y 2.034 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 2.034 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 2.034 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in x 2.034 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 2.034 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.034 * [taylor]: Taking taylor expansion of -1 in x 2.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.034 * [taylor]: Taking taylor expansion of y in x 2.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.035 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.035 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.039 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 2.039 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.039 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.039 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.039 * [taylor]: Taking taylor expansion of y in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.039 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.039 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.039 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.039 * [taylor]: Taking taylor expansion of -1 in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of y in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of y in x 2.044 * [taylor]: Taking taylor expansion of (log (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 2.044 * [taylor]: Taking taylor expansion of (pow (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 2.044 * [taylor]: Taking taylor expansion of (exp (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))))) in x 2.044 * [taylor]: Taking taylor expansion of (* (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))))) in x 2.045 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.045 * [taylor]: Taking taylor expansion of -1 in x 2.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.045 * [taylor]: Taking taylor expansion of y in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.045 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.045 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.045 * [taylor]: Taking taylor expansion of -1 in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.045 * [taylor]: Taking taylor expansion of -1 in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.046 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.046 * [taylor]: Taking taylor expansion of -1 in x 2.046 * [taylor]: Taking taylor expansion of y in x 2.046 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.046 * [taylor]: Taking taylor expansion of -1 in x 2.046 * [taylor]: Taking taylor expansion of y in x 2.051 * [taylor]: Taking taylor expansion of (log (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))))) in x 2.051 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.051 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.052 * [taylor]: Taking taylor expansion of y in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.052 * [taylor]: Taking taylor expansion of -1 in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.052 * [taylor]: Taking taylor expansion of -1 in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.053 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.053 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.053 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.053 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.057 * [taylor]: Taking taylor expansion of 1 in y 2.062 * [taylor]: Taking taylor expansion of 0 in y 2.075 * [taylor]: Taking taylor expansion of (/ -2 (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of -2 in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of 0 in y 2.094 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.095 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 2.095 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 2.095 * [taylor]: Taking taylor expansion of (+ x y) in y 2.095 * [taylor]: Taking taylor expansion of x in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.095 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.095 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.095 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.095 * [taylor]: Taking taylor expansion of (* x x) in y 2.095 * [taylor]: Taking taylor expansion of x in y 2.095 * [taylor]: Taking taylor expansion of x in y 2.095 * [taylor]: Taking taylor expansion of (* y y) in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.096 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 2.096 * [taylor]: Taking taylor expansion of (+ x y) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.096 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.096 * [taylor]: Taking taylor expansion of (* x x) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (* y y) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.097 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 2.097 * [taylor]: Taking taylor expansion of (+ x y) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of y in x 2.097 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.098 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.098 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.098 * [taylor]: Taking taylor expansion of (* x x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (* y y) in x 2.098 * [taylor]: Taking taylor expansion of y in x 2.098 * [taylor]: Taking taylor expansion of y in x 2.099 * [taylor]: Taking taylor expansion of 1 in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.102 * [taylor]: Taking taylor expansion of 1/2 in y 2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.107 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.107 * [taylor]: Taking taylor expansion of 1/2 in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.107 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.112 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 2.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.112 * [taylor]: Taking taylor expansion of y in y 2.112 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.112 * [taylor]: Taking taylor expansion of x in y 2.113 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.113 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.113 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.113 * [taylor]: Taking taylor expansion of x in y 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.113 * [taylor]: Taking taylor expansion of x in y 2.113 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.116 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 2.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.117 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.117 * [taylor]: Taking taylor expansion of y in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.117 * [taylor]: Taking taylor expansion of y in x 2.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.120 * [taylor]: Taking taylor expansion of y in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.121 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.121 * [taylor]: Taking taylor expansion of y in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.121 * [taylor]: Taking taylor expansion of y in x 2.124 * [taylor]: Taking taylor expansion of 1 in y 2.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.125 * [taylor]: Taking taylor expansion of y in y 2.132 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.132 * [taylor]: Taking taylor expansion of 1/2 in y 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.132 * [taylor]: Taking taylor expansion of y in y 2.140 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.140 * [taylor]: Taking taylor expansion of 1/2 in y 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.140 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.140 * [taylor]: Taking taylor expansion of y in y 2.145 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 2.145 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 2.145 * [taylor]: Taking taylor expansion of -1 in y 2.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.145 * [taylor]: Taking taylor expansion of y in y 2.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.146 * [taylor]: Taking taylor expansion of x in y 2.146 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.146 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of x in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of x in y 2.146 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.150 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.150 * [taylor]: Taking taylor expansion of -1 in x 2.150 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.150 * [taylor]: Taking taylor expansion of y in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.150 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.150 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.150 * [taylor]: Taking taylor expansion of -1 in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.151 * [taylor]: Taking taylor expansion of -1 in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.151 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.151 * [taylor]: Taking taylor expansion of -1 in x 2.151 * [taylor]: Taking taylor expansion of y in x 2.151 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.151 * [taylor]: Taking taylor expansion of -1 in x 2.151 * [taylor]: Taking taylor expansion of y in x 2.154 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 2.154 * [taylor]: Taking taylor expansion of -1 in x 2.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.154 * [taylor]: Taking taylor expansion of y in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of y in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of y in x 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.160 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.160 * [taylor]: Taking taylor expansion of y in y 2.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.165 * [taylor]: Taking taylor expansion of 1/2 in y 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.165 * [taylor]: Taking taylor expansion of y in y 2.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.173 * [taylor]: Taking taylor expansion of 1/2 in y 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.173 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.173 * [taylor]: Taking taylor expansion of y in y 2.178 * * * [progress]: simplifying candidates 2.180 * [simplify]: Simplifying using # : (expm1 (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (log1p (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (log (exp (/ (- x y) (hypot x y)))) (/ (+ x y) (hypot x y))) (* 1 (/ (+ x y) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (sqrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ 1 (hypot x y)) (/ (+ x y) (hypot x y))) (pow (exp (/ (- x y) (hypot x y))) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y))))) (pow (exp (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (pow (exp (/ (- x y) (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (pow (exp (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (pow (exp (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) 1)) (pow (exp (/ (- x y) (hypot x y))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (pow (exp (/ (- x y) (hypot x y))) (/ 1 (sqrt (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ 1 1)) (pow (exp (/ (- x y) (hypot x y))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (pow (exp (/ (- x y) (hypot x y))) (/ 1 (sqrt (hypot x y)))) (pow (exp (/ (- x y) (hypot x y))) (/ 1 1)) (pow (exp (/ (- x y) (hypot x y))) 1) (pow (exp (/ (- x y) (hypot x y))) (+ x y)) (pow (* 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(hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) 1) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (hypot x y) (+ (* x x) (- (* y y) (* x y)))) (* (hypot x y) (- x y)) (exp -1) E E -1 1 -1 -1 1 1 1 1 -1 2.187 * * [simplify]: iteration 0 : 460 enodes (cost 1213 ) 2.194 * * [simplify]: iteration 1 : 1894 enodes (cost 1139 ) 2.220 * * [simplify]: iteration 2 : 5002 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(/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (+ x y) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (fma x x (- (* y y) (* x y))) (hypot x y)) (* (hypot x y) (- x y)) (exp -1) E E -1 1 -1 -1 1 1 1 1 -1 2.227 * * * [progress]: adding candidates to table 2.583 * [progress]: [Phase 3 of 3] Extracting. 2.583 * * [regime]: Finding splitpoints for: (# # # #) 2.584 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.584 * * * * [regimes]: Trying to branch on y from (# # # #) 2.599 * * * * [regimes]: Trying to branch on x from (# # # #) 2.615 * * * [regime]: Found split indices: #