18.408 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.024 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.029 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.033 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.051 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.088 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.088 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.121 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.121 * [taylor]: Taking taylor expansion of (+ x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (- x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.121 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.121 * [taylor]: Taking taylor expansion of (+ x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (- x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.122 * [taylor]: Taking taylor expansion of (+ x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (- x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of -1 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of 2 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [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 0.131 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of 2 in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [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 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.161 * [taylor]: Taking taylor expansion of -1 in x 0.161 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.174 * [taylor]: Taking taylor expansion of 2 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.183 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * * * [progress]: simplifying candidates 0.210 * [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 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)) 0.214 * * [simplify]: iteration 0 : 322 enodes (cost 380 ) 0.221 * * [simplify]: iteration 1 : 1875 enodes (cost 324 ) 0.251 * * [simplify]: iteration 2 : 5001 enodes (cost 308 ) 0.253 * [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)))) (- (pow y 2) (pow x 2)) (- (+ (* 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)) (/ 1 (+ (* x x) (* y 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 x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (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 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.253 * * * [progress]: adding candidates to table 0.379 * * [progress]: iteration 2 / 4 0.379 * * * [progress]: picking best candidate 0.382 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.391 * * * [progress]: generating rewritten candidates 0.391 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.398 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.413 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.420 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (+ x y) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.420 * [taylor]: Taking taylor expansion of (+ x y) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (+ x y) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.433 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.451 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.468 * [taylor]: Taking taylor expansion of (+ x y) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (- x y) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.468 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (- x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.469 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.469 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (- x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of -1 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of 2 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [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 0.478 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.478 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of 2 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.501 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.504 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.517 * [taylor]: Taking taylor expansion of 2 in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.528 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.528 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 1 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.554 * * * [progress]: simplifying candidates 0.556 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ (* x x) (* y y)))) (log1p (/ (+ x y) (+ (* x x) (* y y)))) (- (log (+ x y)) (log (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y 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 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)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ 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)) (expm1 (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log1p (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (* x x) (* y y))))) (+ (log (- x y)) (log (/ (+ x y) (+ (* 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 x) (* y y))) (/ (+ x y) (+ (* x x) (* y 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)))))) (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))))) (* (- (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) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x 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))))) (* (cbrt (- 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)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y 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)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.561 * * [simplify]: iteration 0 : 401 enodes (cost 799 ) 0.570 * * [simplify]: iteration 1 : 2118 enodes (cost 704 ) 0.604 * * [simplify]: iteration 2 : 5002 enodes (cost 688 ) 0.607 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ (* x x) (* y y)))) (log1p (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (fma x x (* y y))) 3) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (fma x x (* y y))) 3) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (/ (hypot x y) (cbrt (+ x y)))) (/ (/ (cbrt (+ x y)) 1) (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (hypot x y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (fma x x (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)) 1 (/ (+ x y) (fma x x (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)) 1 (/ (+ x y) (fma x x (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (fma x x (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (hypot x y)) (+ x y) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (fma x x (* y y)) (sqrt (+ x y))) (/ (fma x x (* y y)) (+ x y)) (/ (fma x x (* y y)) (+ x y)) (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (/ (+ x 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))) (expm1 (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log1p (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (fma 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))))) (exp (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (fma x x (* y 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) (+ x y)) (fma x x (* y y))) 3) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (fma x x (* y y)) (fma x x (fma y y (* x y)))) (* (- (* x x) (* y y)) (+ x y)) (* (fma x x (* y y)) (+ x y)) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (/ (* (sqrt (- x y)) (sqrt (+ x y))) (hypot x y)) (/ (* (sqrt (- x y)) (sqrt (+ x y))) (hypot x y)) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (* (sqrt (+ 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) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (hypot x y)) (- x y) (- x y) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ (* (- x y) (+ x y)) (* (fma x x (* y y)) (- (* x x) (* y y)))) (/ (* (cbrt (- x y)) (+ x y)) (fma x x (* y y))) (/ (* (sqrt (- x y)) (+ x y)) (fma x x (* y y))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (/ (* (- (sqrt x) (sqrt y)) (+ x y)) (fma x x (* y y))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (* (- x y) (+ x y)) (/ (* (- (pow x 3) (pow y 3)) (+ x y)) (fma x x (* y y))) (/ (* (- (* x x) (* y y)) (+ x y)) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (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)) 0 0 0 -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.608 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 3 / 4 0.811 * * * [progress]: picking best candidate 0.816 * * * * [pick]: Picked # 0.816 * * * [progress]: localizing error 0.827 * * * [progress]: generating rewritten candidates 0.827 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.849 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.863 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.876 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.876 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 0.877 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.877 * [taylor]: Taking taylor expansion of (+ x y) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (- x y) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.877 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.877 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.877 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.877 * [taylor]: Taking taylor expansion of (* x x) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (* y y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.879 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.879 * [taylor]: Taking taylor expansion of (+ x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (- x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.879 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.879 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.879 * [taylor]: Taking taylor expansion of (* x x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (* y y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.884 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.884 * [taylor]: Taking taylor expansion of (+ x y) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of (- x y) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.885 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.885 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.885 * [taylor]: Taking taylor expansion of (* x x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* y y) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of -1 in y 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.891 * [taylor]: Taking taylor expansion of 2 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [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 0.897 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 0.897 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.897 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.897 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.898 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.902 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.903 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.903 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.908 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.908 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.908 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of 1 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of 2 in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [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 0.930 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 0.930 * [taylor]: Taking taylor expansion of -1 in y 0.930 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 0.930 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.931 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.931 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.931 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.931 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.936 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.936 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.937 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.937 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.941 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.941 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.942 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.942 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.943 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of 1 in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.956 * [taylor]: Taking taylor expansion of 2 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.969 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 0.969 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 0.969 * [taylor]: Taking taylor expansion of (+ x y) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.969 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.969 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.969 * [taylor]: Taking taylor expansion of (* x x) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (* y y) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.970 * [taylor]: Taking taylor expansion of (+ x y) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.970 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.970 * [taylor]: Taking taylor expansion of (* x x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (* y y) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.972 * [taylor]: Taking taylor expansion of (+ x y) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.972 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.972 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.972 * [taylor]: Taking taylor expansion of (* x x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* y y) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of 1 in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.976 * [taylor]: Taking taylor expansion of 1/2 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.981 * [taylor]: Taking taylor expansion of 1/2 in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.986 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.991 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.995 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.995 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of 1 in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.004 * [taylor]: Taking taylor expansion of 1/2 in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.011 * [taylor]: Taking taylor expansion of 1/2 in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.017 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.017 * [taylor]: Taking taylor expansion of -1 in y 1.017 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.018 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.018 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.018 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.018 * [taylor]: Taking taylor expansion of -1 in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.018 * [taylor]: Taking taylor expansion of -1 in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.018 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.018 * [taylor]: Taking taylor expansion of -1 in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.018 * [taylor]: Taking taylor expansion of -1 in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.021 * [taylor]: Taking taylor expansion of -1 in x 1.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.022 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.022 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.022 * [taylor]: Taking taylor expansion of -1 in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.022 * [taylor]: Taking taylor expansion of -1 in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.023 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.026 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.026 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of -1 in y 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.036 * [taylor]: Taking taylor expansion of 1/2 in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.045 * [taylor]: Taking taylor expansion of 1/2 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.052 * [approximate]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in (x y) around 0 1.053 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in y 1.053 * [taylor]: Taking taylor expansion of (+ x y) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.053 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.053 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.053 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.053 * [taylor]: Taking taylor expansion of (* x x) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of (* y y) in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in x 1.054 * [taylor]: Taking taylor expansion of (+ x y) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.054 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.054 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.054 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.054 * [taylor]: Taking taylor expansion of (* x x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* y y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in x 1.056 * [taylor]: Taking taylor expansion of (+ x y) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.056 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.056 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.056 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.056 * [taylor]: Taking taylor expansion of (* x x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* y y) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.070 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.070 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.070 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.074 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.074 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.079 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 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 1.093 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.093 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.093 * [taylor]: Taking taylor expansion of -1 in y 1.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.094 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.094 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.094 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.098 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.098 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.099 * [taylor]: Taking taylor expansion of -1 in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.099 * [taylor]: Taking taylor expansion of -1 in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.103 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.103 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.103 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of -1 in y 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.122 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.122 * [approximate]: Taking taylor expansion of (/ 1 (hypot x y)) in (x y) around 0 1.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in y 1.122 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.122 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.122 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.122 * [taylor]: Taking taylor expansion of (* x x) in y 1.122 * [taylor]: Taking taylor expansion of x in y 1.122 * [taylor]: Taking taylor expansion of x in y 1.122 * [taylor]: Taking taylor expansion of (* y y) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 1.124 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.124 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.124 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.124 * [taylor]: Taking taylor expansion of (* x x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* y y) in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 1.126 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.127 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.127 * [taylor]: Taking taylor expansion of (* x x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (* y y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.133 * [taylor]: Taking taylor expansion of 1/2 in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.147 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.147 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in y 1.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.147 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 1.159 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.159 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.159 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of 1 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.170 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.170 * [taylor]: Taking taylor expansion of 1/2 in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.176 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.176 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in y 1.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.177 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.177 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.177 * [taylor]: Taking taylor expansion of -1 in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.177 * [taylor]: Taking taylor expansion of -1 in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.177 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.177 * [taylor]: Taking taylor expansion of -1 in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.178 * [taylor]: Taking taylor expansion of -1 in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 1.183 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.184 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.184 * [taylor]: Taking taylor expansion of -1 in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.184 * [taylor]: Taking taylor expansion of -1 in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 1.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.187 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of 1 in y 1.191 * [taylor]: Taking taylor expansion of 0 in y 1.194 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.194 * [taylor]: Taking taylor expansion of 1/2 in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.198 * * * [progress]: simplifying candidates 1.201 * [simplify]: Simplifying using # : (expm1 (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (log1p (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (log (/ 1 (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (log (/ 1 (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (log (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (log (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (exp (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (/ (* (* 1 1) 1) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (/ (* (* (+ 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)) (* (* 1 1) 1))) (* (* (/ (+ 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) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (/ (* (* (+ 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) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ 1 (* (hypot x y) 1))) (/ 1 (* (hypot x y) 1))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ 1 (* (hypot x y) 1))) (/ 1 (* (hypot x y) 1))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))))) (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (sqrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (sqrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- (pow x 3) (pow y 3)) (* 1 (+ x y))) (* (+ (* x x) (+ (* y y) (* x y))) (* (* (hypot x y) 1) (hypot x y))) (* (- (pow x 3) (pow y 3)) (* (/ 1 (* (hypot x y) 1)) (+ x y))) (* (+ (* x x) (+ (* y y) (* x y))) (hypot x y)) (* (- (pow x 3) (pow y 3)) (* 1 (/ (+ x y) (hypot x y)))) (* (+ (* x x) (+ (* y y) (* x y))) (* (hypot x y) 1)) (* (- (* x x) (* y y)) (* 1 (+ x y))) (* (+ x y) (* (* (hypot x y) 1) (hypot x y))) (* (- (* x x) (* y y)) (* (/ 1 (* (hypot x y) 1)) (+ x y))) (* (+ x y) (hypot x y)) (* (- (* x x) (* y y)) (* 1 (/ (+ x y) (hypot x y)))) (* (+ x y) (* (hypot x y) 1)) (* (- x y) (/ 1 (* (hypot x y) 1))) (* (cbrt (- x y)) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (sqrt (- x y)) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- (sqrt x) (sqrt y)) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* 1 (+ x y))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (+ x y))) (* (- x y) (* 1 (/ (+ x y) (hypot x y)))) (* (- (pow x 3) (pow y 3)) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- (* x x) (* y y)) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (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 (/ 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1 (* (hypot x y) 1))) (sqrt (/ 1 (* (hypot x y) 1))) (sqrt (/ 1 (* (hypot x y) 1))) (- 1) (- (* (hypot x y) 1)) (/ (* (cbrt 1) (cbrt 1)) (hypot x y)) (/ (cbrt 1) 1) (/ (sqrt 1) (hypot x y)) (/ (sqrt 1) 1) (/ 1 (hypot x y)) (/ 1 1) (/ 1 (* (hypot x y) 1)) (/ (* (hypot x y) 1) 1) (/ 1 (hypot x y)) (/ (* (hypot x y) 1) (cbrt 1)) (/ (* (hypot x y) 1) (sqrt 1)) (/ (* (hypot x y) 1) 1) -1 1 1 1 1 -1 0 0 0 0 0 0 1.210 * * [simplify]: iteration 0 : 718 enodes (cost 1570 ) 1.222 * * [simplify]: iteration 1 : 3718 enodes (cost 1258 ) 1.267 * * [simplify]: iteration 2 : 5001 enodes (cost 1227 ) 1.273 * [simplify]: Simplified to: (expm1 (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (log1p (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (/ (/ (+ x y) (hypot x y)) (hypot x y)) (- x y)) (* (/ (/ (+ x y) (hypot x y)) (hypot x y)) (- x y)) (- (log (* (/ (+ x y) (hypot x y)) (- x y))) (log (hypot x y))) (- (log (* (/ (+ x y) (hypot x y)) (- x y))) (log (hypot x 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(hypot x y)) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y)) (expm1 (/ 1 (* (hypot x y) 1))) (log1p (/ 1 (* (hypot x y) 1))) (- 1) (- 1) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (- (log (hypot x y))) (exp (/ 1 (hypot x y))) (/ 1 (pow (hypot x y) 3)) (/ 1 (pow (hypot x y) 3)) (* (cbrt (/ 1 (* (hypot x y) 1))) (cbrt (/ 1 (* (hypot x y) 1)))) (cbrt (/ 1 (* (hypot x y) 1))) (/ 1 (pow (hypot x y) 3)) (sqrt (/ 1 (* (hypot x y) 1))) (sqrt (/ 1 (* (hypot x y) 1))) (- 1) (- (hypot x y)) (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) (hypot x y) (/ 1 (hypot x y)) (hypot x y) (hypot x y) (hypot x y) -1 1 1 1 1 -1 0 0 0 0 0 0 1.274 * * * [progress]: adding candidates to table 1.564 * * [progress]: iteration 4 / 4 1.564 * * * [progress]: picking best candidate 1.570 * * * * [pick]: Picked # 1.570 * * * [progress]: localizing error 1.579 * * * [progress]: generating rewritten candidates 1.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.610 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.618 * * * [progress]: generating series expansions 1.618 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.619 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 1.619 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.619 * [taylor]: Taking taylor expansion of (+ x y) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.619 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.619 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.619 * [taylor]: Taking taylor expansion of (* x x) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (* y y) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.620 * [taylor]: Taking taylor expansion of (+ x y) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.621 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.621 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.621 * [taylor]: Taking taylor expansion of (* x x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (* y y) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.622 * [taylor]: Taking taylor expansion of (+ x y) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.622 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.622 * [taylor]: Taking taylor expansion of (* x x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (* y y) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of 1 in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.626 * [taylor]: Taking taylor expansion of 1/2 in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.631 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.631 * [taylor]: Taking taylor expansion of 1/2 in y 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.631 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.631 * [taylor]: Taking taylor expansion of y in y 1.637 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.638 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.642 * [taylor]: Taking taylor expansion of y in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.642 * [taylor]: Taking taylor expansion of y in x 1.645 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.645 * [taylor]: Taking taylor expansion of y in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.646 * [taylor]: Taking taylor expansion of y in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.646 * [taylor]: Taking taylor expansion of y in x 1.649 * [taylor]: Taking taylor expansion of 1 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.654 * [taylor]: Taking taylor expansion of 1/2 in y 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.662 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.662 * [taylor]: Taking taylor expansion of 1/2 in y 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.662 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.667 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.667 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.667 * [taylor]: Taking taylor expansion of -1 in y 1.667 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.668 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.668 * [taylor]: Taking taylor expansion of -1 in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.668 * [taylor]: Taking taylor expansion of -1 in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.668 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.668 * [taylor]: Taking taylor expansion of -1 in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.668 * [taylor]: Taking taylor expansion of -1 in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.672 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.672 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.672 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.673 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.673 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.676 * [taylor]: Taking taylor expansion of -1 in x 1.676 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of -1 in y 1.682 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.682 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.687 * [taylor]: Taking taylor expansion of 1/2 in y 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.698 * [taylor]: Taking taylor expansion of 1/2 in y 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.698 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.703 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.703 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.703 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.703 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.703 * [taylor]: Taking taylor expansion of (+ x y) in y 1.703 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.704 * [taylor]: Taking taylor expansion of (- x y) in y 1.704 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.704 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.704 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.704 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.704 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.704 * [taylor]: Taking taylor expansion of (* x x) in y 1.704 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of (* y y) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.705 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.705 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.705 * [taylor]: Taking taylor expansion of (+ x y) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of (- x y) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.705 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.706 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.706 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.706 * [taylor]: Taking taylor expansion of (* x x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (* y y) in x 1.706 * [taylor]: Taking taylor expansion of y in x 1.706 * [taylor]: Taking taylor expansion of y in x 1.707 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.707 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.707 * [taylor]: Taking taylor expansion of (+ x y) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [taylor]: Taking taylor expansion of (- x y) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.707 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.707 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.707 * [taylor]: Taking taylor expansion of (* x x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of (* y y) in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.710 * [taylor]: Taking taylor expansion of 0 in y 1.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.712 * [taylor]: Taking taylor expansion of 2 in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of 0 in y 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.718 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.718 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.719 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.719 * [taylor]: Taking taylor expansion of x in y 1.719 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.719 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.719 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.719 * [taylor]: Taking taylor expansion of x in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.719 * [taylor]: Taking taylor expansion of x in y 1.719 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.719 * [taylor]: Taking taylor expansion of y in y 1.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.720 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.724 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.724 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.724 * [taylor]: Taking taylor expansion of y in x 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.724 * [taylor]: Taking taylor expansion of y in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.724 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.725 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) 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 y) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.729 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 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 1.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.729 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.729 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) 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 1.730 * [taylor]: Taking taylor expansion of y in x 1.734 * [taylor]: Taking taylor expansion of 1 in y 1.736 * [taylor]: Taking taylor expansion of 0 in y 1.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.741 * [taylor]: Taking taylor expansion of 2 in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.750 * [taylor]: Taking taylor expansion of 0 in y 1.751 * [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 1.751 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.751 * [taylor]: Taking taylor expansion of -1 in y 1.751 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.751 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.751 * [taylor]: Taking taylor expansion of x in y 1.751 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.751 * [taylor]: Taking taylor expansion of x in y 1.751 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.751 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.752 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.752 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.752 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.752 * [taylor]: Taking taylor expansion of -1 in y 1.752 * [taylor]: Taking taylor expansion of x in y 1.752 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.752 * [taylor]: Taking taylor expansion of -1 in y 1.752 * [taylor]: Taking taylor expansion of x in y 1.752 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.752 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.752 * [taylor]: Taking taylor expansion of -1 in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.752 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.752 * [taylor]: Taking taylor expansion of -1 in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.756 * [taylor]: Taking taylor expansion of -1 in x 1.756 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.757 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.757 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.757 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.757 * [taylor]: Taking taylor expansion of -1 in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.757 * [taylor]: Taking taylor expansion of -1 in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of y in x 1.758 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of y in x 1.761 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.761 * [taylor]: Taking taylor expansion of -1 in x 1.761 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.762 * [taylor]: Taking taylor expansion of y in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.762 * [taylor]: Taking taylor expansion of y in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.762 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.762 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.762 * [taylor]: Taking taylor expansion of -1 in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.763 * [taylor]: Taking taylor expansion of -1 in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.763 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.763 * [taylor]: Taking taylor expansion of -1 in x 1.763 * [taylor]: Taking taylor expansion of y in x 1.763 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.763 * [taylor]: Taking taylor expansion of -1 in x 1.763 * [taylor]: Taking taylor expansion of y in x 1.767 * [taylor]: Taking taylor expansion of 1 in y 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.778 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.778 * [taylor]: Taking taylor expansion of 2 in y 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.779 * [taylor]: Taking taylor expansion of y in y 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.789 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.789 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in (x y) around 0 1.789 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in y 1.789 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.789 * [taylor]: Taking taylor expansion of (+ x y) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of (- x y) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.789 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.789 * [taylor]: Taking taylor expansion of (* x x) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of (* y y) in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 1.791 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.791 * [taylor]: Taking taylor expansion of (+ x y) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.791 * [taylor]: Taking taylor expansion of (- x y) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.791 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.791 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.791 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.791 * [taylor]: Taking taylor expansion of (* x x) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of (* y y) in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 1.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.792 * [taylor]: Taking taylor expansion of (+ x y) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (- x y) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.792 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.792 * [taylor]: Taking taylor expansion of (* x x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (* y y) in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.794 * [taylor]: Taking taylor expansion of -1 in y 1.794 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of 0 in y 1.798 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 1.798 * [taylor]: Taking taylor expansion of 3/2 in y 1.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.798 * [taylor]: Taking taylor expansion of y in y 1.802 * [taylor]: Taking taylor expansion of 0 in y 1.803 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.803 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in y 1.803 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.803 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.803 * [taylor]: Taking taylor expansion of x in y 1.803 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.803 * [taylor]: Taking taylor expansion of y in y 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.803 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.803 * [taylor]: Taking taylor expansion of y in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.804 * [taylor]: Taking taylor expansion of x in y 1.804 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.804 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.804 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.804 * [taylor]: Taking taylor expansion of x in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.804 * [taylor]: Taking taylor expansion of x in y 1.804 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.808 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 1.808 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.808 * [taylor]: Taking taylor expansion of y in x 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.808 * [taylor]: Taking taylor expansion of y in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 1.813 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.813 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.814 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.818 * [taylor]: Taking taylor expansion of 1 in y 1.819 * [taylor]: Taking taylor expansion of 0 in y 1.824 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 1.825 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.825 * [taylor]: Taking taylor expansion of 3/2 in y 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.825 * [taylor]: Taking taylor expansion of y in y 1.832 * [taylor]: Taking taylor expansion of 0 in y 1.834 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.834 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in y 1.834 * [taylor]: Taking taylor expansion of -1 in y 1.834 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in y 1.834 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.834 * [taylor]: Taking taylor expansion of y in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.834 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.835 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.835 * [taylor]: Taking taylor expansion of -1 in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.835 * [taylor]: Taking taylor expansion of -1 in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.835 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.835 * [taylor]: Taking taylor expansion of -1 in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.836 * [taylor]: Taking taylor expansion of -1 in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.839 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in x 1.839 * [taylor]: Taking taylor expansion of -1 in x 1.839 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 1.839 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.839 * [taylor]: Taking taylor expansion of y in x 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.840 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in x 1.845 * [taylor]: Taking taylor expansion of -1 in x 1.845 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 1.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.845 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.846 * [taylor]: Taking taylor expansion of -1 in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.846 * [taylor]: Taking taylor expansion of -1 in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.846 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.846 * [taylor]: Taking taylor expansion of -1 in x 1.846 * [taylor]: Taking taylor expansion of y in x 1.846 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.846 * [taylor]: Taking taylor expansion of -1 in x 1.846 * [taylor]: Taking taylor expansion of y in x 1.850 * [taylor]: Taking taylor expansion of 1 in y 1.852 * [taylor]: Taking taylor expansion of 0 in y 1.862 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 1.862 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.862 * [taylor]: Taking taylor expansion of 3/2 in y 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.871 * [taylor]: Taking taylor expansion of 0 in y 1.873 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.873 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.873 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.873 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.873 * [taylor]: Taking taylor expansion of (* x x) in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [taylor]: Taking taylor expansion of (* y y) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.874 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.874 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.874 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.874 * [taylor]: Taking taylor expansion of (* x x) in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (* y y) in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.875 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.875 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.875 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.875 * [taylor]: Taking taylor expansion of (* x x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (* y y) in x 1.875 * [taylor]: Taking taylor expansion of y in x 1.876 * [taylor]: Taking taylor expansion of y in x 1.877 * [taylor]: Taking taylor expansion of y in y 1.877 * [taylor]: Taking taylor expansion of 0 in y 1.878 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.878 * [taylor]: Taking taylor expansion of 1/2 in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.880 * [taylor]: Taking taylor expansion of 0 in y 1.881 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.881 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.881 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.881 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.881 * [taylor]: Taking taylor expansion of x in y 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.881 * [taylor]: Taking taylor expansion of x in y 1.881 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.881 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.884 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.887 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.887 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.887 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.890 * [taylor]: Taking taylor expansion of 1 in y 1.890 * [taylor]: Taking taylor expansion of 0 in y 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.893 * [taylor]: Taking taylor expansion of 1/2 in y 1.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.893 * [taylor]: Taking taylor expansion of y in y 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.897 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.898 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.898 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.898 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.898 * [taylor]: Taking taylor expansion of -1 in y 1.898 * [taylor]: Taking taylor expansion of x in y 1.898 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.898 * [taylor]: Taking taylor expansion of -1 in y 1.898 * [taylor]: Taking taylor expansion of x in y 1.898 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.898 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.898 * [taylor]: Taking taylor expansion of -1 in y 1.898 * [taylor]: Taking taylor expansion of y in y 1.898 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.898 * [taylor]: Taking taylor expansion of -1 in y 1.898 * [taylor]: Taking taylor expansion of y in y 1.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.901 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.901 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.901 * [taylor]: Taking taylor expansion of -1 in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.901 * [taylor]: Taking taylor expansion of -1 in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.902 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.902 * [taylor]: Taking taylor expansion of -1 in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.902 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.902 * [taylor]: Taking taylor expansion of -1 in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.904 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.904 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.904 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.904 * [taylor]: Taking taylor expansion of -1 in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.905 * [taylor]: Taking taylor expansion of -1 in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.905 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.905 * [taylor]: Taking taylor expansion of -1 in x 1.905 * [taylor]: Taking taylor expansion of y in x 1.905 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.905 * [taylor]: Taking taylor expansion of -1 in x 1.905 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of 1 in y 1.908 * [taylor]: Taking taylor expansion of 0 in y 1.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.910 * [taylor]: Taking taylor expansion of 1/2 in y 1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.910 * [taylor]: Taking taylor expansion of y in y 1.914 * [taylor]: Taking taylor expansion of 0 in y 1.915 * * * [progress]: simplifying candidates 1.917 * [simplify]: Simplifying using # : (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)) (/ (* (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)) (/ 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)) (expm1 (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (log1p (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (- (+ (- (log (+ x y)) (log (hypot x y))) (log (- x y))) (+ (log (hypot x y)) 0)) (- (+ (- (log (+ x y)) (log (hypot x y))) (log (- x y))) (+ (log (hypot x y)) (log 1))) (- (+ (- (log (+ x y)) (log (hypot x y))) (log (- x y))) (log (* (hypot x y) 1))) (- (+ (log (/ (+ x y) (hypot x y))) (log (- x y))) (+ (log (hypot x y)) 0)) (- (+ (log (/ (+ x y) (hypot x y))) (log (- x y))) (+ (log (hypot x y)) (log 1))) (- (+ (log (/ (+ x y) (hypot x y))) (log (- x y))) (log (* (hypot x y) 1))) (- (log (* (/ (+ x y) (hypot x y)) (- x y))) (+ (log (hypot x y)) 0)) (- (log (* (/ (+ x y) (hypot x y)) (- x y))) (+ (log (hypot x y)) (log 1))) (- (log (* (/ (+ x y) (hypot x y)) (- x y))) (log (* (hypot x y) 1))) (log (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (exp (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (/ (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (/ (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (hypot x y) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (/ (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (/ (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (hypot x y) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (/ (* (* (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y))) (* (/ (+ x y) (hypot x y)) (- x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (/ (* (* (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y))) (* (/ (+ x y) (hypot x y)) (- x y))) (* (* (* (hypot x y) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (* (cbrt (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (cbrt (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1)))) (cbrt (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (* (* (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1)) (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (sqrt (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (sqrt (/ (* (/ (+ x y) (hypot x y)) (- x y)) (* (hypot x y) 1))) (- (* (/ (+ x y) (hypot x y)) (- x y))) (- (* (hypot x y) 1)) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (/ (- x y) 1) (/ 1 (* (hypot x y) 1)) (/ (* (hypot x y) 1) (* (/ (+ x y) (hypot x y)) (- x y))) (/ (* (/ (+ x y) (hypot x y)) (- x y)) (hypot x y)) (/ (* (hypot x y) 1) (- x y)) (* (* (hypot x y) 1) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y))))) (* (* (hypot x y) 1) (* (hypot x y) (+ x y))) (* (* (hypot x y) 1) (+ (* x x) (+ (* y y) (* x y)))) (* (* (hypot x y) 1) (+ x y)) (* (* (hypot x y) 1) (hypot x y)) (expm1 (* (/ (+ x y) (hypot x y)) (- x y))) (log1p (* (/ (+ x y) (hypot x y)) (- x y))) (* (/ (+ x y) (hypot x y)) (- x y)) (+ (- (log (+ x y)) (log (hypot x y))) (log (- x y))) (+ (log (/ (+ x y) (hypot x y))) (log (- x y))) (log (* (/ (+ x y) (hypot x y)) (- x y))) (exp (* (/ (+ x y) (hypot x y)) (- x y))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (/ (+ x y) (hypot x y)) (- x y))) (cbrt (* (/ (+ x y) (hypot x y)) (- x y)))) (cbrt (* (/ (+ x y) (hypot x y)) (- x y))) (* (* (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y))) (* (/ (+ x y) (hypot x y)) (- x y))) (sqrt (* (/ (+ x y) (hypot x y)) (- x y))) (sqrt (* (/ (+ x y) (hypot x y)) (- x y))) (* (+ x y) (- (pow x 3) (pow y 3))) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y)))) (* (+ x y) (- (* x x) (* y y))) (* (hypot x y) (+ x y)) (* (sqrt (/ (+ x y) (hypot x y))) (sqrt (- x y))) (* (sqrt (/ (+ x y) (hypot x y))) (sqrt (- x y))) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (- x y))) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (- x y))) (* (/ (+ x y) (hypot x y)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (/ (+ x y) (hypot x y)) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (/ (+ x y) (hypot x y)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (/ (+ x y) (hypot x y)) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (/ (+ x y) (hypot x y)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (/ (+ x y) (hypot x y)) (fma (- y) 1 (* y 1))) (* (/ (+ x y) (hypot x y)) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (/ (+ x y) (hypot x y)) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (/ (+ x y) (hypot x y)) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (/ (+ x y) (hypot x y)) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (/ (+ x y) (hypot x y)) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (/ (+ x y) (hypot x y)) (fma (- y) 1 (* y 1))) (* (/ (+ x y) (hypot x y)) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (/ (+ x y) (hypot x y)) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (/ (+ x y) (hypot x y)) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (/ (+ x y) (hypot x y)) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (/ (+ x y) (hypot x y)) (fma 1 x (- (* y 1)))) (* (/ (+ x y) (hypot x y)) (fma (- y) 1 (* y 1))) (* (/ (+ x y) (hypot x y)) x) (* (/ (+ x y) (hypot x y)) (- y)) (* (/ (+ x y) (hypot x y)) x) (* (/ (+ x y) (hypot x y)) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (/ (+ x y) (hypot x y))) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (/ (+ x y) (hypot x y))) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (/ (+ x y) (hypot x y))) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (/ (+ x y) (hypot x y))) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (/ (+ x y) (hypot x y))) (* (fma (- y) 1 (* y 1)) (/ (+ x y) (hypot x y))) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (/ (+ x y) (hypot x y))) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (/ (+ x y) (hypot x y))) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (/ (+ x y) (hypot x y))) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (/ (+ x y) (hypot x y))) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (/ (+ x y) (hypot x y))) (* (fma (- y) 1 (* y 1)) (/ (+ x y) (hypot x y))) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (/ (+ x y) (hypot x y))) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (/ (+ x y) (hypot x y))) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (/ (+ x y) (hypot x y))) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (/ (+ x y) (hypot x y))) (* (fma 1 x (- (* y 1))) (/ (+ x y) (hypot x y))) (* (fma (- y) 1 (* y 1)) (/ (+ x y) (hypot x y))) (* x (/ (+ x y) (hypot x y))) (* (- y) (/ (+ x y) (hypot x y))) (* x (/ (+ x y) (hypot x y))) (* (- y) (/ (+ x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (* (/ (+ x y) (hypot x y)) (sqrt (- x y))) (* (/ (+ x y) (hypot x y)) 1) (* (/ (+ x y) (hypot x y)) (+ (sqrt x) (sqrt y))) (* (/ (+ x y) (hypot x y)) 1) (* (cbrt (/ (+ x y) (hypot x y))) (- x y)) (* (sqrt (/ (+ x y) (hypot x y))) (- x y)) (* (/ (cbrt (+ x y)) (cbrt (hypot x y))) (- x y)) (* (/ (cbrt (+ x y)) (sqrt (hypot x y))) (- x y)) (* (/ (cbrt (+ x y)) (hypot x y)) (- x y)) (* (/ (sqrt (+ x y)) (cbrt (hypot x y))) (- x y)) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (- x y)) (* (/ (sqrt (+ x y)) (hypot x y)) (- x y)) (* (/ (+ x y) (cbrt (hypot x y))) (- x y)) (* (/ (+ x y) (sqrt (hypot x y))) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (cbrt (hypot x y))) (- x y)) (* (/ (+ x y) (sqrt (hypot x y))) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ 1 (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- (pow x 3) (pow y 3))) (* (/ (+ x y) (hypot x y)) (- (* x x) (* y y))) (* (+ x y) (- x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 1 -1 -1 1 1 (* -1 y) x (* -1 x) y x (* -1 x) 1.925 * * [simplify]: iteration 0 : 634 enodes (cost 1331 ) 1.937 * * [simplify]: iteration 1 : 3378 enodes (cost 1028 ) 1.983 * * [simplify]: iteration 2 : 5001 enodes (cost 1028 ) 1.988 * [simplify]: Simplified to: (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) 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(sqrt (hypot x y))) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y)) (* (/ (+ x y) (hypot x y)) (- x y)) (/ (- x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (- (pow x 3) (pow y 3))) (* (/ (+ x y) (hypot x y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 1 -1 -1 1 1 (* -1 y) x (* -1 x) y x (* -1 x) 1.989 * * * [progress]: adding candidates to table 2.268 * [progress]: [Phase 3 of 3] Extracting. 2.269 * * [regime]: Finding splitpoints for: (# # # # #) 2.270 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 2.270 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # # #) 2.285 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.305 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.322 * * * [regime]: Found split indices: #