6.018 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.023 * * [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 ) 0.041 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.053 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.092 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.093 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.095 * * [progress]: iteration 1 / 4 0.095 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.111 * * * [progress]: generating rewritten candidates 0.111 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.126 * [taylor]: Taking taylor expansion of (+ x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (- x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [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 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [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 0.160 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.160 * [taylor]: Taking taylor expansion of -1 in y 0.160 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [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 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * [progress]: simplifying candidates 0.186 * [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)) -1 1 1 0.194 * * [simplify]: iteration 0 : 279 enodes (cost 306 ) 0.201 * * [simplify]: iteration 1 : 1480 enodes (cost 261 ) 0.228 * * [simplify]: iteration 2 : 5001 enodes (cost 254 ) 0.230 * [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)))) (* (- y x) (+ x y)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (fma (pow x 3) x (* (- (pow y 3)) y))) (- x y)) (* (fma y (- y x) (* x x)) (* (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) (* x x)) (* (+ x y) (fma x x (* y y)))) (fma (pow x 3) x (* (- (pow y 3)) y)) (* (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))) -1 1 1 0.230 * * * [progress]: adding candidates to table 0.316 * * [progress]: iteration 2 / 4 0.316 * * * [progress]: picking best candidate 0.321 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.339 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.345 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.494 * * * [progress]: generating series expansions 0.494 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.494 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.497 * [taylor]: Taking taylor expansion of 1/2 in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of 1/2 in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of 1 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of 1/2 in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.529 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 0.529 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.530 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.530 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.530 * [taylor]: Taking taylor expansion of (* x x) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* y y) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (+ x y) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.531 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.531 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.531 * [taylor]: Taking taylor expansion of (* x x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* y y) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (+ x y) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.532 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.532 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.532 * [taylor]: Taking taylor expansion of (* x x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (* y y) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (+ x y) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of 1 in y 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of 3/2 in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 0.548 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.548 * [taylor]: Taking taylor expansion of 3/2 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.554 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.554 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.554 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.559 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.563 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.563 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1 in y 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of 3/2 in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 0.580 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.580 * [taylor]: Taking taylor expansion of 3/2 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.586 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.586 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.586 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.586 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.586 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.586 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.587 * [taylor]: Taking taylor expansion of -1 in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.591 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.591 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.591 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.595 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.596 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.596 * [taylor]: Taking taylor expansion of -1 in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.596 * [taylor]: Taking taylor expansion of -1 in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 0.606 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of 3/2 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.614 * [taylor]: Taking taylor expansion of 3/2 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.619 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.619 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in y 0.619 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.619 * [taylor]: Taking taylor expansion of (+ x y) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (- x y) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.620 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.620 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.620 * [taylor]: Taking taylor expansion of (* x x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* y y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.621 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.621 * [taylor]: Taking taylor expansion of (+ x y) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (- x y) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.622 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.622 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.622 * [taylor]: Taking taylor expansion of (* x x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (* y y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.623 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.623 * [taylor]: Taking taylor expansion of (+ x y) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (- x y) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.623 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.623 * [taylor]: Taking taylor expansion of (* x x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (* y y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.625 * [taylor]: Taking taylor expansion of -1 in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of 3/2 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in y 0.637 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.642 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.647 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of 1 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 0.659 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.659 * [taylor]: Taking taylor expansion of 3/2 in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in y 0.670 * [taylor]: Taking taylor expansion of -1 in y 0.670 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in y 0.670 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.670 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.671 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.671 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.671 * [taylor]: Taking taylor expansion of -1 in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.671 * [taylor]: Taking taylor expansion of -1 in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.671 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.671 * [taylor]: Taking taylor expansion of -1 in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.671 * [taylor]: Taking taylor expansion of -1 in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in x 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.675 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.676 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y)))) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 3/2 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.705 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.706 * [approximate]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in (x y) around 0 0.706 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y 0.706 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in y 0.706 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.706 * [taylor]: Taking taylor expansion of (+ x y) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (- x y) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.706 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.706 * [taylor]: Taking taylor expansion of (* x x) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of (* y y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.709 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.709 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.709 * [taylor]: Taking taylor expansion of (+ x y) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (- x y) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.709 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.709 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.709 * [taylor]: Taking taylor expansion of (* x x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (* y y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.710 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.711 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.711 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.711 * [taylor]: Taking taylor expansion of (+ x y) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (- x y) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.712 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.712 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.712 * [taylor]: Taking taylor expansion of (* x x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* y y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.713 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of -1 in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of 2 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [approximate]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.730 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in y 0.731 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.739 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.739 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.740 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.740 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.748 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.748 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.749 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of 1 in y 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.767 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of 2 in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [approximate]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.780 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in y 0.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.781 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.781 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.781 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.781 * [taylor]: Taking taylor expansion of -1 in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.781 * [taylor]: Taking taylor expansion of -1 in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.781 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.781 * [taylor]: Taking taylor expansion of -1 in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.782 * [taylor]: Taking taylor expansion of -1 in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.789 * [taylor]: Taking taylor expansion of -1 in x 0.789 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.789 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.798 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.799 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.808 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of 2 in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.836 * * * [progress]: simplifying candidates 0.853 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (- (log (hypot x y)) (log (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (- (hypot x y)) (- (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (hypot x y)) (cbrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (hypot x y)) (cbrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (hypot x y)) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) 1) (/ (hypot x y) 1) (/ (+ x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3))) (/ (hypot x y) (- (* x x) (* y y))) (expm1 (/ (- x y) (/ (hypot x y) (+ x y)))) (log1p (/ (- x y) (/ (hypot x y) (+ x y)))) (- (log (- x y)) (- (log (hypot x y)) (log (+ x y)))) (- (log (- x y)) (log (/ (hypot x y) (+ 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) (- x y)) (- x y)) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot 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)) (- (/ (hypot x y) (+ x y))) (/ x (/ (hypot x y) (+ x y))) (/ y (/ (hypot x y) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (cbrt (- x y)) (cbrt (/ (hypot x y) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (/ (hypot x y) (+ x y)))) (/ (cbrt (- x y)) (sqrt (/ (hypot x y) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (/ (cbrt (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (/ (cbrt (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (hypot x y)) 1)) (/ (cbrt (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (hypot x y)) 1)) (/ (cbrt (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (hypot x y) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (hypot x y) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (hypot x y)) (/ (cbrt (- x y)) (/ 1 (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (cbrt (- x y)) (+ (* x x) (- (* y y) (* x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (hypot x y) (- (* x x) (* y y)))) (/ (cbrt (- x y)) (- x y)) (/ (sqrt (- x y)) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (sqrt (- 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(/ (- x y) (* (sqrt (cbrt (+ (* x x) (* y y)))) (fma x x (- (* y y) (* x y))))) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3))))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (fma y (- y x) (* x x)))) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (- x y) (* (hypot x y) (fma x x (- (* y y) (* x y))))) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3))))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (fma y (- y x) (* x x)))) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (- x y) (* (hypot x y) (fma x x (- (* y y) (* x y))))) (* (/ (/ 1 (hypot x y)) (cbrt (hypot x y))) (/ (- (* x x) (* y y)) (cbrt (hypot x y)))) (/ 1 (cbrt (hypot x y))) (/ 1 (* (fabs (cbrt (+ (* x x) (* y y)))) (/ (hypot x y) (- (* x x) (* y y))))) (/ 1 (sqrt (cbrt (+ (* x x) (* y y))))) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y))))) (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y)))) (/ 1 (hypot x y)) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y))))) (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y)))) (/ 1 (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (/ (- x y) (cbrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (/ 1 (* (fabs (cbrt (+ (* x x) (* y y)))) 1)) (/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) 1 (/ (- x y) (/ (* (hypot x y) (hypot x y)) (+ x y))) (/ 1 (sqrt (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) 1 (/ (- x y) (/ (* (hypot x y) (hypot x y)) (+ x y))) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (/ 1 (cbrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (/ (- x y) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ 1 (/ (hypot x y) (+ x y))) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (hypot x y))) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (- x y) (/ 1 (/ (* (hypot x y) (hypot x y)) (+ x y))) (/ (- x y) (sqrt (hypot x y))) (* (/ 1 (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (- x y) (/ 1 (/ (* (hypot x y) (hypot x y)) (+ x y))) (* (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ 1 (hypot x y))) (/ (+ x y) (cbrt (hypot x y))) (/ (- x y) (* (fabs (cbrt (+ (* x x) (* y y)))) (hypot x y))) (/ (+ x y) (sqrt (cbrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (* (/ (/ (- x y) (hypot x y)) (cbrt (hypot x y))) (/ (+ x y) (cbrt (hypot x y)))) (/ (- x y) (* (fabs (cbrt (+ (* x x) (* y y)))) (/ (hypot x y) (+ x y)))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ 1 (/ (hypot x y) (+ x y)))) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (sqrt (+ (* x x) (* y y))) (cbrt (/ (- x y) (/ (hypot x y) (+ x y))))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (/ (- x y) (/ (hypot x y) (+ x y))))) (* (/ (hypot x y) (cbrt (- x y))) (cbrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (sqrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (cbrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (+ x y)))) (* (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (cbrt (- x y))) (* (/ (hypot x y) (cbrt (- x y))) (fma x x (- (* y y) (* x y)))) (* (/ (hypot x y) (cbrt (- x y))) (- x y)) (* (/ (hypot x y) (sqrt (- x y))) (cbrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (sqrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (cbrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (sqrt (+ x y)))) (* (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (sqrt (- x y))) (* (/ (hypot x y) (sqrt (- x y))) (fma x x (- (* y y) (* x y)))) (* (/ (hypot x y) (sqrt (- x y))) (- x y)) (* (/ (hypot x y) (- x y)) (cbrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (- x y)) (* (/ (hypot x y) (- x y)) (fma x x (- (* y y) (* x y)))) (hypot x y) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (cbrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (sqrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (cbrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (sqrt (+ x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (- (sqrt x) (sqrt y))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (fma x x (- (* y y) (* x y)))) (* (/ (hypot x y) (- (sqrt x) (sqrt y))) (- x y)) (* (/ (hypot x y) (- x y)) (cbrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (cbrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (sqrt (+ x y)))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (- x y)) (* (/ (hypot x y) (- x y)) (fma x x (- (* y y) (* x y)))) (hypot x y) (* (/ (hypot x y) (- x y)) (/ (hypot x y) (+ x y))) (/ (fma x x (* y y)) (+ x y)) (/ (hypot x y) (+ x y)) (* (/ (- x y) (hypot (pow y 3) (pow x 3))) (/ 1 (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (/ (fma x x (* y y)) (+ x y)) y x (* -1 x) 1 1 -1 (* -1 y) x (* -1 x) -1 1 1 1.020 * * * [progress]: adding candidates to table 2.673 * * [progress]: iteration 3 / 4 2.673 * * * [progress]: picking best candidate 2.679 * * * * [pick]: Picked # 2.679 * * * [progress]: localizing error 2.687 * * * [progress]: generating rewritten candidates 2.687 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.693 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.722 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.766 * * * [progress]: generating series expansions 2.766 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.766 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 2.766 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 2.766 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.766 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.766 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.766 * [taylor]: Taking taylor expansion of (* x x) in y 2.767 * [taylor]: Taking taylor expansion of x in y 2.767 * [taylor]: Taking taylor expansion of x in y 2.767 * [taylor]: Taking taylor expansion of (* y y) in y 2.767 * [taylor]: Taking taylor expansion of y in y 2.767 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of (+ x y) in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 2.768 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.768 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.768 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.768 * [taylor]: Taking taylor expansion of (* x x) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of (* y y) in x 2.769 * [taylor]: Taking taylor expansion of y in x 2.769 * [taylor]: Taking taylor expansion of y in x 2.770 * [taylor]: Taking taylor expansion of (+ x y) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.770 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 2.770 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.770 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.770 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.770 * [taylor]: Taking taylor expansion of (* x x) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (* y y) in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.771 * [taylor]: Taking taylor expansion of (+ x y) in x 2.771 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of y in x 2.771 * [taylor]: Taking taylor expansion of 1 in y 2.772 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.772 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.772 * [taylor]: Taking taylor expansion of y in y 2.775 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 2.775 * [taylor]: Taking taylor expansion of 3/2 in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.775 * [taylor]: Taking taylor expansion of y in y 2.780 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 2.780 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 2.780 * [taylor]: Taking taylor expansion of 3/2 in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.780 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.780 * [taylor]: Taking taylor expansion of y in y 2.794 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 2.794 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.794 * [taylor]: Taking taylor expansion of x in y 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.794 * [taylor]: Taking taylor expansion of x in y 2.794 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.794 * [taylor]: Taking taylor expansion of y in y 2.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.794 * [taylor]: Taking taylor expansion of y in y 2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.797 * [taylor]: Taking taylor expansion of y in y 2.798 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.798 * [taylor]: Taking taylor expansion of x in y 2.798 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.798 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.798 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.798 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.798 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.799 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.799 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.799 * [taylor]: Taking taylor expansion of y in x 2.799 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.799 * [taylor]: Taking taylor expansion of y in x 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.802 * [taylor]: Taking taylor expansion of y in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.804 * [taylor]: Taking taylor expansion of y in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.804 * [taylor]: Taking taylor expansion of y in x 2.806 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of 1 in y 2.808 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.808 * [taylor]: Taking taylor expansion of y in y 2.813 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 2.813 * [taylor]: Taking taylor expansion of 3/2 in y 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.813 * [taylor]: Taking taylor expansion of y in y 2.820 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 2.821 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 2.821 * [taylor]: Taking taylor expansion of 3/2 in y 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.821 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.821 * [taylor]: Taking taylor expansion of y in y 2.826 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 2.826 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 2.827 * [taylor]: Taking taylor expansion of -1 in y 2.827 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.827 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.827 * [taylor]: Taking taylor expansion of -1 in y 2.827 * [taylor]: Taking taylor expansion of x in y 2.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.827 * [taylor]: Taking taylor expansion of -1 in y 2.827 * [taylor]: Taking taylor expansion of x in y 2.827 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.827 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.827 * [taylor]: Taking taylor expansion of -1 in y 2.827 * [taylor]: Taking taylor expansion of y in y 2.827 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.827 * [taylor]: Taking taylor expansion of -1 in y 2.827 * [taylor]: Taking taylor expansion of y in y 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.830 * [taylor]: Taking taylor expansion of y in y 2.831 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.831 * [taylor]: Taking taylor expansion of x in y 2.831 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.831 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.832 * [taylor]: Taking taylor expansion of -1 in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.832 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.832 * [taylor]: Taking taylor expansion of -1 in x 2.832 * [taylor]: Taking taylor expansion of y in x 2.832 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.832 * [taylor]: Taking taylor expansion of -1 in x 2.832 * [taylor]: Taking taylor expansion of y in x 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.835 * [taylor]: Taking taylor expansion of y in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 2.836 * [taylor]: Taking taylor expansion of -1 in x 2.836 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.836 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.836 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.836 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.836 * [taylor]: Taking taylor expansion of -1 in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.836 * [taylor]: Taking taylor expansion of -1 in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.837 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.837 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.837 * [taylor]: Taking taylor expansion of -1 in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.837 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.837 * [taylor]: Taking taylor expansion of -1 in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.839 * [taylor]: Taking taylor expansion of y in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.841 * [taylor]: Taking taylor expansion of -1 in y 2.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.842 * [taylor]: Taking taylor expansion of y in y 2.847 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 2.847 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 2.847 * [taylor]: Taking taylor expansion of 3/2 in y 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.847 * [taylor]: Taking taylor expansion of y in y 2.855 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 2.855 * [taylor]: Taking taylor expansion of 3/2 in y 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.855 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.855 * [taylor]: Taking taylor expansion of y in y 2.861 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.861 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 2.861 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 2.861 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.861 * [taylor]: Taking taylor expansion of (+ x y) in y 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [taylor]: Taking taylor expansion of (- x y) in y 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 2.861 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.861 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.861 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.861 * [taylor]: Taking taylor expansion of (* x x) in y 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [taylor]: Taking taylor expansion of (* y y) in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.863 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.863 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.863 * [taylor]: Taking taylor expansion of (+ x y) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of y in x 2.863 * [taylor]: Taking taylor expansion of (- x y) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of y in x 2.863 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.863 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.863 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.863 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.863 * [taylor]: Taking taylor expansion of (* x x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of (* y y) in x 2.863 * [taylor]: Taking taylor expansion of y in x 2.863 * [taylor]: Taking taylor expansion of y in x 2.865 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.865 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.865 * [taylor]: Taking taylor expansion of (+ x y) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of y in x 2.865 * [taylor]: Taking taylor expansion of (- x y) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of y in x 2.865 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.865 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.865 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.865 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.865 * [taylor]: Taking taylor expansion of (* x x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (* y y) in x 2.865 * [taylor]: Taking taylor expansion of y in x 2.865 * [taylor]: Taking taylor expansion of y in x 2.867 * [taylor]: Taking taylor expansion of -1 in y 2.868 * [taylor]: Taking taylor expansion of 0 in y 2.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.871 * [taylor]: Taking taylor expansion of 2 in y 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.871 * [taylor]: Taking taylor expansion of y in y 2.882 * [taylor]: Taking taylor expansion of 0 in y 2.882 * [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 2.882 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 2.882 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.882 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.882 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.882 * [taylor]: Taking taylor expansion of x in y 2.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.882 * [taylor]: Taking taylor expansion of y in y 2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.883 * [taylor]: Taking taylor expansion of y in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.883 * [taylor]: Taking taylor expansion of x in y 2.883 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 2.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.883 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.883 * [taylor]: Taking taylor expansion of x in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.883 * [taylor]: Taking taylor expansion of x in y 2.883 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.883 * [taylor]: Taking taylor expansion of y in y 2.884 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.884 * [taylor]: Taking taylor expansion of y in y 2.888 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.888 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.888 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.888 * [taylor]: Taking taylor expansion of y in x 2.888 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.888 * [taylor]: Taking taylor expansion of y in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.889 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.889 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.889 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.889 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.890 * [taylor]: Taking taylor expansion of y in x 2.893 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.893 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.893 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.894 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.894 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.894 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.895 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.895 * [taylor]: Taking taylor expansion of y in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.895 * [taylor]: Taking taylor expansion of y in x 2.899 * [taylor]: Taking taylor expansion of 1 in y 2.901 * [taylor]: Taking taylor expansion of 0 in y 2.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.907 * [taylor]: Taking taylor expansion of 2 in y 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.916 * [taylor]: Taking taylor expansion of 0 in y 2.916 * [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 2.917 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 2.917 * [taylor]: Taking taylor expansion of -1 in y 2.917 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 2.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.917 * [taylor]: Taking taylor expansion of y in y 2.917 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.917 * [taylor]: Taking taylor expansion of x in y 2.917 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.917 * [taylor]: Taking taylor expansion of y in y 2.917 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.917 * [taylor]: Taking taylor expansion of x in y 2.917 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 2.917 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.917 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.917 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.917 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.918 * [taylor]: Taking taylor expansion of -1 in y 2.918 * [taylor]: Taking taylor expansion of x in y 2.918 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.918 * [taylor]: Taking taylor expansion of -1 in y 2.918 * [taylor]: Taking taylor expansion of x in y 2.918 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.918 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.918 * [taylor]: Taking taylor expansion of -1 in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.918 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.918 * [taylor]: Taking taylor expansion of -1 in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.922 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.922 * [taylor]: Taking taylor expansion of -1 in x 2.922 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.922 * [taylor]: Taking taylor expansion of y in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.922 * [taylor]: Taking taylor expansion of y in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.923 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.923 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.928 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.928 * [taylor]: Taking taylor expansion of -1 in x 2.928 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.928 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.928 * [taylor]: Taking taylor expansion of y in x 2.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.928 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.928 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.928 * [taylor]: Taking taylor expansion of y in x 2.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.929 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.929 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.929 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.929 * [taylor]: Taking taylor expansion of -1 in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.929 * [taylor]: Taking taylor expansion of -1 in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.930 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.930 * [taylor]: Taking taylor expansion of -1 in x 2.930 * [taylor]: Taking taylor expansion of y in x 2.930 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.930 * [taylor]: Taking taylor expansion of -1 in x 2.930 * [taylor]: Taking taylor expansion of y in x 2.934 * [taylor]: Taking taylor expansion of 1 in y 2.936 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.943 * [taylor]: Taking taylor expansion of 2 in y 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.943 * [taylor]: Taking taylor expansion of y in y 2.953 * [taylor]: Taking taylor expansion of 0 in y 2.953 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.954 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 2.954 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 2.954 * [taylor]: Taking taylor expansion of (- x y) in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.954 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.954 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.954 * [taylor]: Taking taylor expansion of (* x x) in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.954 * [taylor]: Taking taylor expansion of (* y y) in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.956 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 2.956 * [taylor]: Taking taylor expansion of (- x y) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.956 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.956 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.956 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.956 * [taylor]: Taking taylor expansion of (* x x) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [taylor]: Taking taylor expansion of (* y y) in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.957 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 2.957 * [taylor]: Taking taylor expansion of (- x y) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of y in x 2.957 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.957 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.957 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.957 * [taylor]: Taking taylor expansion of (* x x) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (* y y) in x 2.957 * [taylor]: Taking taylor expansion of y in x 2.957 * [taylor]: Taking taylor expansion of y in x 2.959 * [taylor]: Taking taylor expansion of -1 in y 2.959 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.959 * [taylor]: Taking taylor expansion of y in y 2.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.962 * [taylor]: Taking taylor expansion of 1/2 in y 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.972 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.972 * [taylor]: Taking taylor expansion of 1/2 in y 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.972 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.972 * [taylor]: Taking taylor expansion of y in y 2.978 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 2.978 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.978 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.978 * [taylor]: Taking taylor expansion of x in y 2.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.978 * [taylor]: Taking taylor expansion of y in y 2.979 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.979 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.979 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.979 * [taylor]: Taking taylor expansion of x in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.979 * [taylor]: Taking taylor expansion of x in y 2.979 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.983 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.983 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.983 * [taylor]: Taking taylor expansion of y in x 2.983 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.983 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.983 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.983 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.987 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.987 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.987 * [taylor]: Taking taylor expansion of y in x 2.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.988 * [taylor]: Taking taylor expansion of x in x 2.988 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.988 * [taylor]: Taking taylor expansion of y in x 2.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.988 * [taylor]: Taking taylor expansion of y in x 2.991 * [taylor]: Taking taylor expansion of 1 in y 2.992 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.992 * [taylor]: Taking taylor expansion of y in y 2.997 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.997 * [taylor]: Taking taylor expansion of 1/2 in y 2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.997 * [taylor]: Taking taylor expansion of y in y 3.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 3.006 * [taylor]: Taking taylor expansion of 1/2 in y 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.006 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.006 * [taylor]: Taking taylor expansion of y in y 3.011 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 3.011 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 3.011 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.011 * [taylor]: Taking taylor expansion of y in y 3.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.012 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.012 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.012 * [taylor]: Taking taylor expansion of -1 in y 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.012 * [taylor]: Taking taylor expansion of -1 in y 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.012 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.012 * [taylor]: Taking taylor expansion of -1 in y 3.012 * [taylor]: Taking taylor expansion of y in y 3.012 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.012 * [taylor]: Taking taylor expansion of -1 in y 3.012 * [taylor]: Taking taylor expansion of y in y 3.016 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 3.016 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.016 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.016 * [taylor]: Taking taylor expansion of -1 in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.017 * [taylor]: Taking taylor expansion of -1 in x 3.017 * [taylor]: Taking taylor expansion of x in x 3.017 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.017 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.017 * [taylor]: Taking taylor expansion of -1 in x 3.017 * [taylor]: Taking taylor expansion of y in x 3.017 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.017 * [taylor]: Taking taylor expansion of -1 in x 3.017 * [taylor]: Taking taylor expansion of y in x 3.020 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 3.020 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.020 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.021 * [taylor]: Taking taylor expansion of y in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.021 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.021 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.021 * [taylor]: Taking taylor expansion of -1 in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.021 * [taylor]: Taking taylor expansion of -1 in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.022 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.022 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.022 * [taylor]: Taking taylor expansion of -1 in x 3.022 * [taylor]: Taking taylor expansion of y in x 3.022 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.022 * [taylor]: Taking taylor expansion of -1 in x 3.022 * [taylor]: Taking taylor expansion of y in x 3.025 * [taylor]: Taking taylor expansion of -1 in y 3.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.026 * [taylor]: Taking taylor expansion of y in y 3.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 3.031 * [taylor]: Taking taylor expansion of 1/2 in y 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.031 * [taylor]: Taking taylor expansion of y in y 3.039 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 3.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 3.039 * [taylor]: Taking taylor expansion of 1/2 in y 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.039 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.039 * [taylor]: Taking taylor expansion of y in y 3.044 * * * [progress]: simplifying candidates 3.058 * [simplify]: Simplifying using # : (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (- (log (hypot x y)) (log (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (- (hypot x y)) (- (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (hypot x y)) (cbrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (hypot x y)) (cbrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (hypot x y)) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) 1) (/ (hypot x y) 1) (/ (+ x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3))) (/ (hypot x y) (- (* x x) (* y y))) (expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (log1p (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (- (- (log (- x y)) (log (hypot x y))) (- (log (hypot x y)) (log (+ x y)))) (- (- (log (- x y)) (log (hypot x y))) (log (/ (hypot x y) (+ x y)))) (- (log (/ (- x y) (hypot x y))) (- (log (hypot x y)) (log (+ x y)))) (- (log (/ (- x y) (hypot x y))) (log (/ (hypot x y) (+ x y)))) (log (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (exp (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (/ (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot 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))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (* (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (* (* (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (hypot x 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x y))) (/ (hypot x y) (- (* x x) (* y y)))) (/ (/ (- x y) (sqrt (hypot x y))) (- x y)) (/ (/ 1 (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (cbrt (/ (hypot x y) (+ x y)))) (/ 1 (sqrt (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ 1 (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ 1 (sqrt (hypot x y))) (sqrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ 1 (sqrt (hypot x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (/ 1 (sqrt (hypot x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (cbrt (+ x y)))) (sqrt (+ x y)) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (sqrt (+ x y)))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (- x y) (* (fma x x (- (* y y) (* x y))) (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y)))) (/ (/ (- x y) (hypot x y)) (- x y)) (/ (/ 1 (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (cbrt (/ (hypot x y) (+ x y)))) (/ 1 (sqrt (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (* (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (* (/ 1 (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (* (/ 1 (sqrt (hypot x y))) (sqrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ 1 (sqrt (hypot x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (/ 1 (sqrt (hypot x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (cbrt (+ x y)))) (sqrt (+ x y)) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (sqrt (+ x y)))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) 1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (/ 1 (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (- x y) (* (fma x x (- (* y y) (* x y))) (hypot x y))) (/ 1 (/ (hypot x y) (- (* x x) (* y y)))) (/ (/ (- x y) (hypot x y)) (- x y)) (/ (- x y) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (/ 1 (hypot x y)) (cbrt (/ (hypot x y) (+ x y)))) (/ (- x y) (sqrt (/ (hypot x y) (+ x y)))) (/ (/ 1 (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (/ (- x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (/ 1 (hypot x y)) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (/ (- x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (/ (/ 1 (hypot x y)) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ 1 (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ 1 (hypot x y)) (/ (cbrt (hypot x y)) (+ x y))) (/ (- x y) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (/ 1 (hypot x y)) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (/ (- x y) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (/ 1 (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (- x y) (sqrt (hypot x y))) (/ (/ 1 (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (/ (- x y) (sqrt (hypot x y))) (/ (/ 1 (hypot x y)) (/ (sqrt (hypot x y)) (+ x y))) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (hypot x y)) (/ (hypot x y) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (/ (/ 1 (hypot x y)) (/ (hypot x y) (sqrt (+ x y)))) (- x y) (/ (/ 1 (hypot x y)) (/ (hypot x y) (+ x y))) (- x y) (/ (/ 1 (hypot x y)) (/ (hypot x y) (+ x y))) (- x y) (/ (/ 1 (hypot x y)) (/ (hypot x y) (+ x y))) (/ (- x y) (hypot x y)) (/ 1 (/ (hypot x y) (+ x y))) (/ (- x y) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ 1 (* (fma x x (- (* y y) (* x y))) (hypot x y))) (/ (- x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (/ 1 (hypot x y)) (- x y)) (/ 1 (/ (hypot x y) (+ x y))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (hypot x y))) (/ (/ (- x y) (hypot x y)) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (/ (- x y) (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (/ (- x y) (hypot x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (/ (- x y) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y))) (/ (- x y) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (/ (- x y) (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (- x y) (* (sqrt (hypot x y)) (hypot x y))) (/ (- x y) (* (sqrt (hypot 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)) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (hypot x y)) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (- (* x x) (* y y)))) (/ (/ (hypot x y) (+ x y)) (cbrt (/ (- x y) (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (sqrt (/ (- x y) (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (cbrt (- x y)) (cbrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (cbrt (- x y)) (sqrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (cbrt (- x y)) (hypot x y))) (/ (/ (hypot x y) (+ x y)) (/ (sqrt (- x y)) (cbrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (sqrt (- x y)) (sqrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (sqrt (- x y)) (hypot x y))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (cbrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (sqrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (hypot x y))) (/ (/ (hypot x y) (+ x y)) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- (sqrt x) (sqrt y)) (hypot x y))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (cbrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (sqrt (hypot x y)))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (hypot x y))) (/ (/ (hypot x y) (+ x y)) (/ (- x y) (hypot x y))) (* (/ (hypot x y) (+ x y)) (hypot x y)) (/ (/ (- x y) (hypot x y)) (hypot x y)) (* (/ (hypot x y) (+ x y)) (hypot x y)) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) 1 1 -1 -1 1 1 -1 1 -1 3.146 * * * [progress]: adding candidates to table 4.124 * * [progress]: iteration 4 / 4 4.124 * * * [progress]: picking best candidate 4.129 * * * * [pick]: Picked # 4.129 * * * [progress]: localizing error 4.141 * * * [progress]: generating rewritten candidates 4.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 4.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.368 * * * [progress]: generating series expansions 4.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 4.368 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 4.368 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 4.368 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.369 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.369 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.369 * [taylor]: Taking taylor expansion of (* x x) in y 4.369 * [taylor]: Taking taylor expansion of x in y 4.369 * [taylor]: Taking taylor expansion of x in y 4.369 * [taylor]: Taking taylor expansion of (* y y) in y 4.369 * [taylor]: Taking taylor expansion of y in y 4.369 * [taylor]: Taking taylor expansion of y in y 4.370 * [taylor]: Taking taylor expansion of (+ x y) in y 4.371 * [taylor]: Taking taylor expansion of x in y 4.371 * [taylor]: Taking taylor expansion of y in y 4.371 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 4.371 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.371 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.371 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.371 * [taylor]: Taking taylor expansion of (* x x) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of (* y y) in x 4.371 * [taylor]: Taking taylor expansion of y in x 4.371 * [taylor]: Taking taylor expansion of y in x 4.372 * [taylor]: Taking taylor expansion of (+ x y) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [taylor]: Taking taylor expansion of y in x 4.372 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 4.372 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.372 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.372 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.372 * [taylor]: Taking taylor expansion of (* x x) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [taylor]: Taking taylor expansion of (* y y) in x 4.372 * [taylor]: Taking taylor expansion of y in x 4.372 * [taylor]: Taking taylor expansion of y in x 4.373 * [taylor]: Taking taylor expansion of (+ x y) in x 4.373 * [taylor]: Taking taylor expansion of x in x 4.373 * [taylor]: Taking taylor expansion of y in x 4.374 * [taylor]: Taking taylor expansion of 1 in y 4.374 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.374 * [taylor]: Taking taylor expansion of y in y 4.377 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 4.377 * [taylor]: Taking taylor expansion of 3/2 in y 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.377 * [taylor]: Taking taylor expansion of y in y 4.382 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 4.382 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 4.382 * [taylor]: Taking taylor expansion of 3/2 in y 4.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.382 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.382 * [taylor]: Taking taylor expansion of y in y 4.388 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.388 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.388 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.388 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.388 * [taylor]: Taking taylor expansion of x in y 4.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.388 * [taylor]: Taking taylor expansion of x in y 4.388 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.388 * [taylor]: Taking taylor expansion of y in y 4.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.389 * [taylor]: Taking taylor expansion of y in y 4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.392 * [taylor]: Taking taylor expansion of y in y 4.392 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.392 * [taylor]: Taking taylor expansion of x in y 4.392 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.392 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.392 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.393 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.393 * [taylor]: Taking taylor expansion of y in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.393 * [taylor]: Taking taylor expansion of y in x 4.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.396 * [taylor]: Taking taylor expansion of y in x 4.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.397 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.397 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.397 * [taylor]: Taking taylor expansion of y in x 4.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.398 * [taylor]: Taking taylor expansion of y in x 4.400 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.400 * [taylor]: Taking taylor expansion of y in x 4.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.400 * [taylor]: Taking taylor expansion of x in x 4.401 * [taylor]: Taking taylor expansion of 1 in y 4.402 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.402 * [taylor]: Taking taylor expansion of y in y 4.406 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 4.406 * [taylor]: Taking taylor expansion of 3/2 in y 4.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.406 * [taylor]: Taking taylor expansion of y in y 4.414 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 4.414 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 4.414 * [taylor]: Taking taylor expansion of 3/2 in y 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.414 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.414 * [taylor]: Taking taylor expansion of y in y 4.420 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.420 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 4.420 * [taylor]: Taking taylor expansion of -1 in y 4.420 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.420 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.420 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.420 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.420 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.420 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.420 * [taylor]: Taking taylor expansion of -1 in y 4.420 * [taylor]: Taking taylor expansion of x in y 4.420 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.420 * [taylor]: Taking taylor expansion of -1 in y 4.420 * [taylor]: Taking taylor expansion of x in y 4.420 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.420 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.420 * [taylor]: Taking taylor expansion of -1 in y 4.420 * [taylor]: Taking taylor expansion of y in y 4.421 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.421 * [taylor]: Taking taylor expansion of -1 in y 4.421 * [taylor]: Taking taylor expansion of y in y 4.424 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.424 * [taylor]: Taking taylor expansion of y in y 4.424 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.424 * [taylor]: Taking taylor expansion of x in y 4.425 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.425 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of x in x 4.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.432 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.432 * [taylor]: Taking taylor expansion of -1 in x 4.432 * [taylor]: Taking taylor expansion of y in x 4.432 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.432 * [taylor]: Taking taylor expansion of -1 in x 4.432 * [taylor]: Taking taylor expansion of y in x 4.434 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.434 * [taylor]: Taking taylor expansion of y in x 4.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.434 * [taylor]: Taking taylor expansion of x in x 4.435 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.435 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.435 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.435 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.436 * [taylor]: Taking taylor expansion of x in x 4.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.436 * [taylor]: Taking taylor expansion of -1 in x 4.436 * [taylor]: Taking taylor expansion of x in x 4.436 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.436 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.436 * [taylor]: Taking taylor expansion of -1 in x 4.436 * [taylor]: Taking taylor expansion of y in x 4.436 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.436 * [taylor]: Taking taylor expansion of -1 in x 4.436 * [taylor]: Taking taylor expansion of y in x 4.439 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.439 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.439 * [taylor]: Taking taylor expansion of y in x 4.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.440 * [taylor]: Taking taylor expansion of -1 in y 4.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.441 * [taylor]: Taking taylor expansion of y in y 4.446 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 4.446 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 4.446 * [taylor]: Taking taylor expansion of 3/2 in y 4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.446 * [taylor]: Taking taylor expansion of y in y 4.454 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 4.454 * [taylor]: Taking taylor expansion of 3/2 in y 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.454 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.454 * [taylor]: Taking taylor expansion of y in y 4.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.461 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 4.461 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 4.462 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.462 * [taylor]: Taking taylor expansion of (+ x y) in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.462 * [taylor]: Taking taylor expansion of (- x y) in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.462 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 4.462 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.462 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.462 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.462 * [taylor]: Taking taylor expansion of (* x x) in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of (* y y) in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.464 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 4.465 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.465 * [taylor]: Taking taylor expansion of (+ x y) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of y in x 4.465 * [taylor]: Taking taylor expansion of (- x y) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of y in x 4.465 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 4.465 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.465 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.465 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.465 * [taylor]: Taking taylor expansion of (* x x) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of (* y y) in x 4.465 * [taylor]: Taking taylor expansion of y in x 4.465 * [taylor]: Taking taylor expansion of y in x 4.467 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 4.467 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.467 * [taylor]: Taking taylor expansion of (+ x y) in x 4.467 * [taylor]: Taking taylor expansion of x in x 4.467 * [taylor]: Taking taylor expansion of y in x 4.467 * [taylor]: Taking taylor expansion of (- x y) in x 4.467 * [taylor]: Taking taylor expansion of x in x 4.467 * [taylor]: Taking taylor expansion of y in x 4.467 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 4.467 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.468 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.468 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.468 * [taylor]: Taking taylor expansion of (* x x) in x 4.468 * [taylor]: Taking taylor expansion of x in x 4.468 * [taylor]: Taking taylor expansion of x in x 4.468 * [taylor]: Taking taylor expansion of (* y y) in x 4.468 * [taylor]: Taking taylor expansion of y in x 4.468 * [taylor]: Taking taylor expansion of y in x 4.470 * [taylor]: Taking taylor expansion of -1 in y 4.472 * [taylor]: Taking taylor expansion of 0 in y 4.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.476 * [taylor]: Taking taylor expansion of 2 in y 4.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.476 * [taylor]: Taking taylor expansion of y in y 4.486 * [taylor]: Taking taylor expansion of 0 in y 4.486 * [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 4.486 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 4.486 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.486 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.486 * [taylor]: Taking taylor expansion of x in y 4.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.486 * [taylor]: Taking taylor expansion of y in y 4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.487 * [taylor]: Taking taylor expansion of y in y 4.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.487 * [taylor]: Taking taylor expansion of x in y 4.487 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 4.487 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.488 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.488 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.488 * [taylor]: Taking taylor expansion of x in y 4.488 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.488 * [taylor]: Taking taylor expansion of x in y 4.488 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.488 * [taylor]: Taking taylor expansion of y in y 4.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.488 * [taylor]: Taking taylor expansion of y in y 4.495 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 4.495 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.495 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.495 * [taylor]: Taking taylor expansion of x in x 4.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.496 * [taylor]: Taking taylor expansion of y in x 4.496 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.496 * [taylor]: Taking taylor expansion of y in x 4.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.496 * [taylor]: Taking taylor expansion of x in x 4.496 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 4.496 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.497 * [taylor]: Taking taylor expansion of x in x 4.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.497 * [taylor]: Taking taylor expansion of x in x 4.497 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.497 * [taylor]: Taking taylor expansion of y in x 4.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.498 * [taylor]: Taking taylor expansion of y in x 4.504 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 4.504 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.504 * [taylor]: Taking taylor expansion of y in x 4.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.505 * [taylor]: Taking taylor expansion of y in x 4.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.505 * [taylor]: Taking taylor expansion of x in x 4.505 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 4.505 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.505 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.505 * [taylor]: Taking taylor expansion of x in x 4.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.506 * [taylor]: Taking taylor expansion of x in x 4.506 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.506 * [taylor]: Taking taylor expansion of y in x 4.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.507 * [taylor]: Taking taylor expansion of y in x 4.513 * [taylor]: Taking taylor expansion of 1 in y 4.516 * [taylor]: Taking taylor expansion of 0 in y 4.527 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.527 * [taylor]: Taking taylor expansion of 2 in y 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.527 * [taylor]: Taking taylor expansion of y in y 4.537 * [taylor]: Taking taylor expansion of 0 in y 4.538 * [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 4.538 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 4.538 * [taylor]: Taking taylor expansion of -1 in y 4.538 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 4.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.538 * [taylor]: Taking taylor expansion of y in y 4.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.538 * [taylor]: Taking taylor expansion of x in y 4.538 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.538 * [taylor]: Taking taylor expansion of y in y 4.539 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.539 * [taylor]: Taking taylor expansion of x in y 4.539 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 4.539 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.539 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.539 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.539 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.539 * [taylor]: Taking taylor expansion of -1 in y 4.539 * [taylor]: Taking taylor expansion of x in y 4.539 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.539 * [taylor]: Taking taylor expansion of -1 in y 4.539 * [taylor]: Taking taylor expansion of x in y 4.539 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.539 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.539 * [taylor]: Taking taylor expansion of -1 in y 4.539 * [taylor]: Taking taylor expansion of y in y 4.539 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.539 * [taylor]: Taking taylor expansion of -1 in y 4.539 * [taylor]: Taking taylor expansion of y in y 4.549 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 4.549 * [taylor]: Taking taylor expansion of -1 in x 4.549 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 4.549 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.549 * [taylor]: Taking taylor expansion of y in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 4.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.550 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.550 * [taylor]: Taking taylor expansion of -1 in x 4.550 * [taylor]: Taking taylor expansion of x in x 4.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.550 * [taylor]: Taking taylor expansion of -1 in x 4.550 * [taylor]: Taking taylor expansion of x in x 4.550 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.550 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.550 * [taylor]: Taking taylor expansion of -1 in x 4.550 * [taylor]: Taking taylor expansion of y in x 4.551 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.551 * [taylor]: Taking taylor expansion of -1 in x 4.551 * [taylor]: Taking taylor expansion of y in x 4.555 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 4.555 * [taylor]: Taking taylor expansion of -1 in x 4.555 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 4.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.555 * [taylor]: Taking taylor expansion of y in x 4.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.555 * [taylor]: Taking taylor expansion of x in x 4.555 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.556 * [taylor]: Taking taylor expansion of y in x 4.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.556 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 4.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.556 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.556 * [taylor]: Taking taylor expansion of -1 in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.556 * [taylor]: Taking taylor expansion of -1 in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.557 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.557 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.557 * [taylor]: Taking taylor expansion of -1 in x 4.557 * [taylor]: Taking taylor expansion of y in x 4.557 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.557 * [taylor]: Taking taylor expansion of -1 in x 4.557 * [taylor]: Taking taylor expansion of y in x 4.561 * [taylor]: Taking taylor expansion of 1 in y 4.564 * [taylor]: Taking taylor expansion of 0 in y 4.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.571 * [taylor]: Taking taylor expansion of 2 in y 4.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.571 * [taylor]: Taking taylor expansion of y in y 4.582 * [taylor]: Taking taylor expansion of 0 in y 4.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.582 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 4.582 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 4.582 * [taylor]: Taking taylor expansion of (- x y) in y 4.582 * [taylor]: Taking taylor expansion of x in y 4.582 * [taylor]: Taking taylor expansion of y in y 4.582 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.582 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.582 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.582 * [taylor]: Taking taylor expansion of (* x x) in y 4.582 * [taylor]: Taking taylor expansion of x in y 4.582 * [taylor]: Taking taylor expansion of x in y 4.582 * [taylor]: Taking taylor expansion of (* y y) in y 4.582 * [taylor]: Taking taylor expansion of y in y 4.582 * [taylor]: Taking taylor expansion of y in y 4.584 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 4.584 * [taylor]: Taking taylor expansion of (- x y) in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [taylor]: Taking taylor expansion of y in x 4.584 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.584 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.584 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.584 * [taylor]: Taking taylor expansion of (* x x) in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [taylor]: Taking taylor expansion of (* y y) in x 4.584 * [taylor]: Taking taylor expansion of y in x 4.584 * [taylor]: Taking taylor expansion of y in x 4.585 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 4.585 * [taylor]: Taking taylor expansion of (- x y) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.585 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.585 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.586 * [taylor]: Taking taylor expansion of (* x x) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [taylor]: Taking taylor expansion of (* y y) in x 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [taylor]: Taking taylor expansion of y in x 4.587 * [taylor]: Taking taylor expansion of -1 in y 4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.588 * [taylor]: Taking taylor expansion of y in y 4.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.590 * [taylor]: Taking taylor expansion of 1/2 in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.596 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 4.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.596 * [taylor]: Taking taylor expansion of 1/2 in y 4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.596 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.596 * [taylor]: Taking taylor expansion of y in y 4.602 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 4.602 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 4.602 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.602 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.602 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.602 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.602 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.603 * [taylor]: Taking taylor expansion of y in y 4.606 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 4.606 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.606 * [taylor]: Taking taylor expansion of y in x 4.606 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.607 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.607 * [taylor]: Taking taylor expansion of y in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.607 * [taylor]: Taking taylor expansion of y in x 4.610 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 4.610 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.610 * [taylor]: Taking taylor expansion of x in x 4.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.611 * [taylor]: Taking taylor expansion of y in x 4.611 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.611 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.611 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.611 * [taylor]: Taking taylor expansion of x in x 4.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.611 * [taylor]: Taking taylor expansion of x in x 4.611 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.612 * [taylor]: Taking taylor expansion of y in x 4.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.612 * [taylor]: Taking taylor expansion of y in x 4.615 * [taylor]: Taking taylor expansion of 1 in y 4.616 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.616 * [taylor]: Taking taylor expansion of y in y 4.621 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 4.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.621 * [taylor]: Taking taylor expansion of 1/2 in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.621 * [taylor]: Taking taylor expansion of y in y 4.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.630 * [taylor]: Taking taylor expansion of 1/2 in y 4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.630 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.630 * [taylor]: Taking taylor expansion of y in y 4.641 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 4.641 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 4.641 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.641 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.641 * [taylor]: Taking taylor expansion of y in y 4.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.641 * [taylor]: Taking taylor expansion of x in y 4.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.642 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.642 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of x in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of x in y 4.642 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of y in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of y in y 4.646 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 4.646 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.646 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.646 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.646 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.646 * [taylor]: Taking taylor expansion of -1 in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.647 * [taylor]: Taking taylor expansion of -1 in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.647 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.647 * [taylor]: Taking taylor expansion of -1 in x 4.647 * [taylor]: Taking taylor expansion of y in x 4.647 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.647 * [taylor]: Taking taylor expansion of -1 in x 4.647 * [taylor]: Taking taylor expansion of y in x 4.650 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 4.650 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.651 * [taylor]: Taking taylor expansion of y in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.651 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.651 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.651 * [taylor]: Taking taylor expansion of -1 in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.651 * [taylor]: Taking taylor expansion of -1 in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.652 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.652 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.652 * [taylor]: Taking taylor expansion of -1 in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.652 * [taylor]: Taking taylor expansion of -1 in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.655 * [taylor]: Taking taylor expansion of -1 in y 4.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.656 * [taylor]: Taking taylor expansion of y in y 4.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.661 * [taylor]: Taking taylor expansion of 1/2 in y 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.661 * [taylor]: Taking taylor expansion of y in y 4.669 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 4.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.669 * [taylor]: Taking taylor expansion of 1/2 in y 4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.669 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.669 * [taylor]: Taking taylor expansion of y in y 4.676 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.676 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 4.676 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 4.676 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.676 * [taylor]: Taking taylor expansion of (+ x y) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [taylor]: Taking taylor expansion of (- x y) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 4.676 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.676 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.676 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.676 * [taylor]: Taking taylor expansion of (* x x) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [taylor]: Taking taylor expansion of (* y y) in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.678 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 4.678 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.678 * [taylor]: Taking taylor expansion of (+ x y) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [taylor]: Taking taylor expansion of (- x y) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 4.678 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.678 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.678 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.678 * [taylor]: Taking taylor expansion of (* x x) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of (* y y) in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.680 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 4.680 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.680 * [taylor]: Taking taylor expansion of (+ x y) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [taylor]: Taking taylor expansion of y in x 4.680 * [taylor]: Taking taylor expansion of (- x y) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [taylor]: Taking taylor expansion of y in x 4.680 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 4.680 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.680 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.680 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.680 * [taylor]: Taking taylor expansion of (* x x) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [taylor]: Taking taylor expansion of (* y y) in x 4.680 * [taylor]: Taking taylor expansion of y in x 4.680 * [taylor]: Taking taylor expansion of y in x 4.682 * [taylor]: Taking taylor expansion of -1 in y 4.683 * [taylor]: Taking taylor expansion of 0 in y 4.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.686 * [taylor]: Taking taylor expansion of 2 in y 4.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.692 * [taylor]: Taking taylor expansion of 0 in y 4.692 * [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 4.692 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 4.692 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.692 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.692 * [taylor]: Taking taylor expansion of x in y 4.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.692 * [taylor]: Taking taylor expansion of y in y 4.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.692 * [taylor]: Taking taylor expansion of y in y 4.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.693 * [taylor]: Taking taylor expansion of x in y 4.693 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 4.693 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.693 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.693 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.693 * [taylor]: Taking taylor expansion of x in y 4.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.693 * [taylor]: Taking taylor expansion of x in y 4.693 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.693 * [taylor]: Taking taylor expansion of y in y 4.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.693 * [taylor]: Taking taylor expansion of y in y 4.698 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 4.698 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.698 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.698 * [taylor]: Taking taylor expansion of x in x 4.698 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.698 * [taylor]: Taking taylor expansion of y in x 4.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.698 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.698 * [taylor]: Taking taylor expansion of y in x 4.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.698 * [taylor]: Taking taylor expansion of x in x 4.698 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 4.698 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.699 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.703 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 4.703 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.703 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.703 * [taylor]: Taking taylor expansion of x in x 4.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.703 * [taylor]: Taking taylor expansion of y in x 4.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.703 * [taylor]: Taking taylor expansion of y in x 4.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 4.704 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.704 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.704 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.704 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.704 * [taylor]: Taking taylor expansion of x in x 4.705 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.705 * [taylor]: Taking taylor expansion of y in x 4.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.705 * [taylor]: Taking taylor expansion of y in x 4.708 * [taylor]: Taking taylor expansion of 1 in y 4.710 * [taylor]: Taking taylor expansion of 0 in y 4.716 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.716 * [taylor]: Taking taylor expansion of 2 in y 4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.716 * [taylor]: Taking taylor expansion of y in y 4.732 * [taylor]: Taking taylor expansion of 0 in y 4.732 * [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 4.733 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 4.733 * [taylor]: Taking taylor expansion of -1 in y 4.733 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 4.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.733 * [taylor]: Taking taylor expansion of y in y 4.733 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.733 * [taylor]: Taking taylor expansion of x in y 4.733 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.733 * [taylor]: Taking taylor expansion of y in y 4.733 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.733 * [taylor]: Taking taylor expansion of x in y 4.733 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 4.733 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.734 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.734 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.734 * [taylor]: Taking taylor expansion of -1 in y 4.734 * [taylor]: Taking taylor expansion of x in y 4.734 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.734 * [taylor]: Taking taylor expansion of -1 in y 4.734 * [taylor]: Taking taylor expansion of x in y 4.734 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.734 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.734 * [taylor]: Taking taylor expansion of -1 in y 4.734 * [taylor]: Taking taylor expansion of y in y 4.734 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.734 * [taylor]: Taking taylor expansion of -1 in y 4.734 * [taylor]: Taking taylor expansion of y in y 4.738 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 4.738 * [taylor]: Taking taylor expansion of -1 in x 4.738 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 4.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.738 * [taylor]: Taking taylor expansion of y in x 4.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.738 * [taylor]: Taking taylor expansion of x in x 4.739 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.739 * [taylor]: Taking taylor expansion of y in x 4.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.739 * [taylor]: Taking taylor expansion of x in x 4.739 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 4.739 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.739 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.739 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.739 * [taylor]: Taking taylor expansion of -1 in x 4.739 * [taylor]: Taking taylor expansion of x in x 4.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.740 * [taylor]: Taking taylor expansion of -1 in x 4.740 * [taylor]: Taking taylor expansion of x in x 4.740 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.740 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.740 * [taylor]: Taking taylor expansion of -1 in x 4.740 * [taylor]: Taking taylor expansion of y in x 4.740 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.740 * [taylor]: Taking taylor expansion of -1 in x 4.740 * [taylor]: Taking taylor expansion of y in x 4.744 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 4.744 * [taylor]: Taking taylor expansion of -1 in x 4.744 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 4.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.744 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.744 * [taylor]: Taking taylor expansion of x in x 4.745 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.745 * [taylor]: Taking taylor expansion of y in x 4.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 4.745 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.745 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.745 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.745 * [taylor]: Taking taylor expansion of -1 in x 4.745 * [taylor]: Taking taylor expansion of x in x 4.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.746 * [taylor]: Taking taylor expansion of -1 in x 4.746 * [taylor]: Taking taylor expansion of x in x 4.746 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.746 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.746 * [taylor]: Taking taylor expansion of -1 in x 4.746 * [taylor]: Taking taylor expansion of y in x 4.746 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.746 * [taylor]: Taking taylor expansion of -1 in x 4.746 * [taylor]: Taking taylor expansion of y in x 4.751 * [taylor]: Taking taylor expansion of 1 in y 4.753 * [taylor]: Taking taylor expansion of 0 in y 4.759 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.759 * [taylor]: Taking taylor expansion of 2 in y 4.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.759 * [taylor]: Taking taylor expansion of y in y 4.770 * [taylor]: Taking taylor expansion of 0 in y 4.770 * * * [progress]: simplifying candidates 4.784 * [simplify]: Simplifying using # : (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (- (log (hypot x y)) (log (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (- (hypot x y)) (- (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (hypot x y)) (cbrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (hypot x y)) (cbrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (hypot x y)) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) 1) (/ (hypot x y) 1) (/ (+ x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3))) (/ (hypot x y) (- (* x x) (* y y))) (expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (log1p (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (- (- (log (- x y)) (log (hypot x y))) (- (log (hypot x y)) (log (+ x y)))) (- (- (log (- x y)) (log (hypot x y))) (log (/ (hypot x y) (+ x y)))) (- (log (/ (- x y) (hypot x y))) (- (log (hypot x y)) (log (+ x y)))) (- (log (/ (- x y) (hypot x y))) (log (/ (hypot x y) (+ x y)))) (log (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (exp (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (/ (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot 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))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (* (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (* (* (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (sqrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (sqrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (- (/ (- x y) (hypot x y))) (- (/ (hypot x y) (+ x y))) (/ (/ x (hypot x y)) (/ (hypot x y) (+ x y))) (/ (/ y (hypot x y)) (/ (hypot x y) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (hypot x y) (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (sqrt (/ (hypot x y) (+ x y)))) (/ (cbrt (/ (- x y) (hypot x y))) (sqrt (/ (hypot x y) (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (cbrt (hypot x y)) (cbrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (cbrt (hypot x y)) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (cbrt (hypot x y)) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (sqrt (hypot x y)) (cbrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (sqrt (hypot x y)) 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (sqrt (hypot x y)) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (sqrt (hypot x y)) 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (sqrt (hypot x y)) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (hypot x y) (cbrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ 1 (sqrt (+ x y)))) (/ (cbrt (/ (- x y) (hypot x y))) (/ (hypot x y) (sqrt (+ x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ 1 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (hypot x y) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ 1 1)) (/ (cbrt (/ (- x y) (hypot x y))) (/ (hypot x y) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) 1) (/ (cbrt (/ (- x y) (hypot x y))) (/ (hypot x y) (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (hypot x y)) (/ (cbrt (/ (- x y) (hypot x y))) (/ 1 (+ x y))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (/ (cbrt (/ (- x y) (hypot x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (/ (hypot x y) (- (* x x) (* y y)))) (/ (cbrt (/ (- x y) (hypot x y))) (- x y)) (/ (sqrt (/ (- x y) (hypot x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (/ (sqrt (/ (- x y) (hypot x y))) (cbrt (/ (hypot x y) (+ x y)))) (/ (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (hypot x y) (+ x y)))) (/ (sqrt (/ (- x y) 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x y)))) (* (- x y) (sqrt (+ x y))) (- x y) (- 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)))) 1 (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (hypot x y)) (log (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (exp (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (* (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))) (cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (pow (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))) 3) (sqrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) (sqrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))) 1 1 -1 -1 1 1 -1 1 -1 -1 1 1 4.912 * * * [progress]: adding candidates to table 6.880 * [progress]: [Phase 3 of 3] Extracting. 6.880 * * [regime]: Finding splitpoints for: (# # #) 6.881 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.881 * * * * [regimes]: Trying to branch on y from (# # #) 6.899 * * * * [regimes]: Trying to branch on x from (# # #) 6.913 * * * [regime]: Found split indices: #