17.710 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.028 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.031 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.033 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.038 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.056 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.095 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.095 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [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 0.125 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.125 * [taylor]: Taking taylor expansion of (+ x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (- x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.126 * [taylor]: Taking taylor expansion of (+ x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (- x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [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 0.128 * [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 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.138 * [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 0.142 * [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 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [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 0.145 * [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 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.165 * [taylor]: Taking taylor expansion of -1 in y 0.165 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of 2 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * * * [progress]: simplifying candidates 0.192 * [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 0.196 * * [simplify]: iteration 0 : 279 enodes (cost 306 ) 0.202 * * [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 0.231 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.320 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.345 * [approximate]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in y 0.345 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.345 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.345 * [taylor]: Taking taylor expansion of (* x x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (+ x y) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in x 0.346 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.346 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.346 * [taylor]: Taking taylor expansion of (* x x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (+ x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in x 0.347 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.347 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.347 * [taylor]: Taking taylor expansion of (* x x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- 1) in y 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.350 * [taylor]: Taking taylor expansion of 2 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.358 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.358 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.358 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.360 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.360 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.362 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 2 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.376 * [taylor]: Taking taylor expansion of 2 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.383 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.383 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.383 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.383 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.383 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.383 * [taylor]: Taking taylor expansion of -1 in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.385 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.388 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of 2 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.404 * [taylor]: Taking taylor expansion of 2 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.410 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.410 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.410 * [taylor]: Taking taylor expansion of (+ x y) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (- x y) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.410 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.410 * [taylor]: Taking taylor expansion of (* x x) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.411 * [taylor]: Taking taylor expansion of (+ x y) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (- x y) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.411 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.411 * [taylor]: Taking taylor expansion of (* x x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.412 * [taylor]: Taking taylor expansion of (+ x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (- x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.412 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.412 * [taylor]: Taking taylor expansion of (* x x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of -1 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of 2 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.423 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.424 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.426 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.427 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.432 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of 2 in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.452 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.452 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.452 * [taylor]: Taking taylor expansion of -1 in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.452 * [taylor]: Taking taylor expansion of -1 in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.454 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.455 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.459 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of 2 in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying using # : (expm1 (/ (fma x x (* y y)) (+ x y))) (log1p (/ (fma x x (* y y)) (+ x y))) (- (log (fma x x (* y y))) (log (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (exp (/ (fma x x (* y y)) (+ x y))) (/ (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt 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y))) (cbrt (/ (fma x x (* y y)) (+ x y))))) (/ (- x y) (sqrt (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y)))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (sqrt (fma x x (* y y))) (sqrt (+ x y)))) (/ (- x y) (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ 1 (sqrt (+ x y)))) (/ (- x y) (/ 1 1)) (/ (- x y) (/ 1 1)) (/ (- x y) 1) (/ (- x y) (fma x x (* y y))) (/ (- x y) (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (/ (fma x x (* y y)) (+ x y)) (cbrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (sqrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (/ (fma x x (* y y)) (+ x y)) (- (sqrt x) (sqrt y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (fma x x (* y y))) (* (/ (fma x x (* y y)) (+ x y)) (+ (* x x) (+ (* y y) (* x y)))) (* (/ (fma x x (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 0.493 * * [simplify]: iteration 0 : 640 enodes (cost 2000 ) 0.504 * * [simplify]: iteration 1 : 2737 enodes (cost 1832 ) 0.549 * * [simplify]: iteration 2 : 5001 enodes (cost 1825 ) 0.559 * [simplify]: Simplified to: (expm1 (/ (fma x x (* y y)) (+ x y))) (log1p (/ (fma x x (* y y)) (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (exp (/ (fma x x (* y y)) (+ x y))) (pow (/ (fma x x (* y y)) (+ x y)) 3) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y)))) (cbrt (/ (fma x x (* y y)) (+ x y))) (pow (/ (fma x x (* y y)) (+ x y)) 3) (sqrt (/ (fma x x (* y y)) (+ x y))) (sqrt (/ (fma x x (* y y)) (+ x y))) (- 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x x (* y y)) (+ x y))) (/ 1 (fma x x (* y y))) (* (- x y) (+ x y)) (/ 1 (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (/ (fma y (- y x) (* x x)) 1)) (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ 1 (/ (fma x x (* y y)) (+ x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y))))) (/ (- x y) (sqrt (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y)))) (/ (- x y) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))) (/ (- x y) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (- x y) (- x y) (- x y) (/ (- x y) (fma x x (* y y))) (/ (- x y) (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (/ (fma x x (* y y)) (+ x y)) (cbrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (sqrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (/ (fma x x (* y y)) (+ x y)) (- (sqrt x) (sqrt y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (fma x x (* y y))) (/ (* (fma x x (* y y)) (fma x x (fma y y (* x y)))) (+ x y)) (* (/ (fma x x (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 0.561 * * * [progress]: adding candidates to table 0.846 * * [progress]: iteration 3 / 4 0.846 * * * [progress]: picking best candidate 0.851 * * * * [pick]: Picked # 0.851 * * * [progress]: localizing error 0.859 * * * [progress]: generating rewritten candidates 0.859 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.865 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.890 * * * [progress]: generating series expansions 0.890 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.890 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 0.890 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 0.890 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.891 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.891 * [taylor]: Taking taylor expansion of (* x x) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of (* y y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (+ x y) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.892 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.892 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.892 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.892 * [taylor]: Taking taylor expansion of (* x x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (* y y) in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (+ x y) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.894 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.894 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.894 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.894 * [taylor]: Taking taylor expansion of (* x x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (* y y) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (+ x y) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of 1 in y 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of 3/2 in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 0.904 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.904 * [taylor]: Taking taylor expansion of 3/2 in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.910 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.910 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.910 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.910 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.910 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.915 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.915 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.915 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.919 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1 in y 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.932 * [taylor]: Taking taylor expansion of 3/2 in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 0.940 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.940 * [taylor]: Taking taylor expansion of 3/2 in y 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.940 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.946 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.946 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.946 * [taylor]: Taking taylor expansion of -1 in y 0.946 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.946 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.946 * [taylor]: Taking taylor expansion of -1 in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.946 * [taylor]: Taking taylor expansion of -1 in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.946 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.946 * [taylor]: Taking taylor expansion of -1 in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.947 * [taylor]: Taking taylor expansion of -1 in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.951 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.955 * [taylor]: Taking taylor expansion of -1 in x 0.955 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of -1 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of 3/2 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 0.975 * [taylor]: Taking taylor expansion of 3/2 in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.975 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.980 * [approximate]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in y 0.980 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.980 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.981 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.981 * [taylor]: Taking taylor expansion of (* x x) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (* y y) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (+ x y) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in x 0.982 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.982 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.982 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.982 * [taylor]: Taking taylor expansion of (* x x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (* y y) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (+ x y) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in x 0.983 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.984 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.984 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.984 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.984 * [taylor]: Taking taylor expansion of (* x x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* y y) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (+ x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (- 1) in y 0.985 * [taylor]: Taking taylor expansion of 1 in y 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.988 * [taylor]: Taking taylor expansion of 2 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.991 * [taylor]: Taking taylor expansion of 2 in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.996 * [approximate]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.996 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.996 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.996 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.001 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.001 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.001 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 1.005 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.005 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.005 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.005 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 1 in y 1.014 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.018 * [taylor]: Taking taylor expansion of 2 in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.026 * [taylor]: Taking taylor expansion of 2 in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.032 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.032 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in y 1.032 * [taylor]: Taking taylor expansion of -1 in y 1.032 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 1.032 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.032 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.032 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.033 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.033 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.033 * [taylor]: Taking taylor expansion of -1 in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.033 * [taylor]: Taking taylor expansion of -1 in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.033 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.033 * [taylor]: Taking taylor expansion of -1 in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.033 * [taylor]: Taking taylor expansion of -1 in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.037 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 1.037 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.037 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.037 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.037 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 1.042 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.042 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.043 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of -1 in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.054 * [taylor]: Taking taylor expansion of 2 in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.062 * [taylor]: Taking taylor expansion of 2 in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.062 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.068 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.068 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.068 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.068 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.068 * [taylor]: Taking taylor expansion of (+ x y) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (- x y) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.068 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.068 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.068 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.068 * [taylor]: Taking taylor expansion of (* x x) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of (* y y) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.070 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.070 * [taylor]: Taking taylor expansion of (+ x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (- x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.070 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.070 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.070 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.070 * [taylor]: Taking taylor expansion of (* x x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (* y y) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.072 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.072 * [taylor]: Taking taylor expansion of (+ x y) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (- x y) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.072 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.072 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.072 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.072 * [taylor]: Taking taylor expansion of (* x x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* y y) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of -1 in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.077 * [taylor]: Taking taylor expansion of 2 in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.084 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.084 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.084 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.084 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.089 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.089 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.090 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.097 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.098 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.098 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.098 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of 1 in y 1.105 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of 2 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.121 * [taylor]: Taking taylor expansion of -1 in y 1.121 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.121 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.121 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.122 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of x in y 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.122 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of x in y 1.122 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.122 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.122 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.122 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.126 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.127 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.128 * [taylor]: Taking taylor expansion of -1 in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.128 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.128 * [taylor]: Taking taylor expansion of -1 in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.128 * [taylor]: Taking taylor expansion of -1 in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.132 * [taylor]: Taking taylor expansion of -1 in x 1.132 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.133 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.133 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.133 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.133 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of 1 in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.148 * [taylor]: Taking taylor expansion of 2 in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.158 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.159 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.159 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.159 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.159 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.159 * [taylor]: Taking taylor expansion of (* x x) in y 1.159 * [taylor]: Taking taylor expansion of x in y 1.159 * [taylor]: Taking taylor expansion of x in y 1.159 * [taylor]: Taking taylor expansion of (* y y) in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.160 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.160 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.160 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.160 * [taylor]: Taking taylor expansion of (* x x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (* y y) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.161 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.161 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.161 * [taylor]: Taking taylor expansion of (* x x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (* y y) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of y in x 1.163 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of 0 in y 1.164 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.164 * [taylor]: Taking taylor expansion of 1/2 in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.166 * [taylor]: Taking taylor expansion of 0 in y 1.167 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.167 * [taylor]: Taking taylor expansion of x in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.167 * [taylor]: Taking taylor expansion of x in y 1.167 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.171 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of 1 in y 1.178 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.181 * [taylor]: Taking taylor expansion of 1/2 in y 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of 0 in y 1.189 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.189 * [taylor]: Taking taylor expansion of -1 in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.189 * [taylor]: Taking taylor expansion of -1 in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.189 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.189 * [taylor]: Taking taylor expansion of -1 in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.189 * [taylor]: Taking taylor expansion of -1 in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.192 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.192 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.196 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.196 * [taylor]: Taking taylor expansion of -1 in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of 1 in y 1.200 * [taylor]: Taking taylor expansion of 0 in y 1.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.203 * [taylor]: Taking taylor expansion of 1/2 in y 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of 0 in y 1.208 * * * [progress]: simplifying candidates 1.209 * [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 (* (hypot x y) (/ (hypot x y) (+ x y)))) (log1p (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y))) (+ (log (hypot x y)) (- (log (hypot x y)) (log (+ x y)))) (+ (log (hypot x y)) (log (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (exp (* (hypot x y) (/ (hypot 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)))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (* (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (* (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (hypot x y) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (* (hypot x y) (sqrt (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (* (hypot x y) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (hypot x y) (/ (sqrt (hypot x y)) 1)) (* (hypot x y) (/ (sqrt (hypot x y)) 1)) (* (hypot x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ 1 (sqrt (+ x y)))) (* (hypot x y) (/ 1 1)) (* (hypot x y) (/ 1 1)) (* (hypot x y) 1) (* (hypot x y) (hypot x y)) (* (hypot x y) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (* (cbrt (hypot x y)) (/ (hypot x y) (+ x y))) (* (sqrt (hypot x y)) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (hypot x 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)) (log (* (hypot x y) (/ (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) (- x y)) (- x y)) (* (* (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ 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))))) (* (* (/ (- 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)) (cbrt (- x y))) (hypot x y)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (sqrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (hypot x y)) (/ (- (sqrt x) (sqrt y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ 1 (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- x y)) (/ (- x y) (hypot x y)) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (cbrt (- 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))) (- (sqrt x) (sqrt y))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- x y)) (/ (- x y) (* (hypot x y) (hypot x y))) (* (* (hypot x y) (/ (hypot x y) (+ x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (* (hypot x y) (/ (hypot x y) (+ x y))) (+ x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 1 -1 (- y x) (- x y) (- x y) -1 1 1 y x (* -1 x) 1.216 * * [simplify]: iteration 0 : 378 enodes (cost 858 ) 1.223 * * [simplify]: iteration 1 : 1715 enodes (cost 740 ) 1.254 * * [simplify]: iteration 2 : 5001 enodes (cost 733 ) 1.259 * [simplify]: Simplified to: (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (log (/ (hypot x y) (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (pow (/ (hypot x y) (+ x y)) 3) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (pow (/ (hypot x y) (+ x y)) 3) (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))) (/ (cbrt (hypot x y)) (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (/ (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)) (/ (sqrt (hypot x y)) (+ x y)) (sqrt (hypot x y)) (/ (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 (/ (hypot x y) (+ x y)) 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) (hypot x y) (/ (+ 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 (* (hypot x y) (/ (hypot x y) (+ x y)))) (log1p (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (exp (* (hypot x y) (/ (hypot x y) (+ x y)))) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (* (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (* (hypot x y) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (* (hypot x y) (sqrt (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y)) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y)) (/ (pow (sqrt (hypot x y)) 3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (pow (sqrt (hypot x y)) 3) (sqrt (+ x y))) (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (hypot x y) (hypot x y) (hypot x y) (* (hypot x y) (hypot x y)) (* (hypot x y) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (* (cbrt (hypot x y)) (/ (hypot x y) (+ x y))) (/ (pow (sqrt (hypot x y)) 3) (+ x y)) (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (hypot x 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) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (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))))) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (* (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))))) (- y x) (- (* (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)) (cbrt (- x y))) (hypot x y)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (sqrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (hypot x y)) (/ (- (sqrt x) (sqrt y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (* (hypot x 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 x) (* y y)))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- (sqrt x) (sqrt y))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (- x y) (* (hypot x y) (hypot x y))) (* (hypot x y) (* (/ (hypot x y) (+ x y)) (fma x x (fma y y (* x y))))) (* (* (hypot x y) (/ (hypot x y) (+ x y))) (+ x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 1 -1 (- y x) (- x y) (- x y) -1 1 1 y x (* -1 x) 1.259 * * * [progress]: adding candidates to table 1.469 * * [progress]: iteration 4 / 4 1.469 * * * [progress]: picking best candidate 1.476 * * * * [pick]: Picked # 1.476 * * * [progress]: localizing error 1.484 * * * [progress]: generating rewritten candidates 1.484 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.490 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.518 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.556 * * * [progress]: generating series expansions 1.556 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.557 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 1.557 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 1.557 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.557 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.557 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.557 * [taylor]: Taking taylor expansion of (* x x) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of (* y y) in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (+ x y) in y 1.559 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 1.559 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.559 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.559 * [taylor]: Taking taylor expansion of (* x x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (* y y) in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (+ x y) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 1.560 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.560 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.560 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.560 * [taylor]: Taking taylor expansion of (* x x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (* y y) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.562 * [taylor]: Taking taylor expansion of (+ x y) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of y in x 1.562 * [taylor]: Taking taylor expansion of 1 in y 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.562 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.565 * [taylor]: Taking taylor expansion of 3/2 in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.578 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 1.578 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.578 * [taylor]: Taking taylor expansion of 3/2 in y 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.578 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.578 * [taylor]: Taking taylor expansion of y in y 1.584 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.584 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.584 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.584 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.584 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.584 * [taylor]: Taking taylor expansion of x in y 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.584 * [taylor]: Taking taylor expansion of x in y 1.585 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.589 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.589 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.589 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.589 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.590 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.590 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.593 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.593 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of 1 in y 1.598 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.603 * [taylor]: Taking taylor expansion of 3/2 in y 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.611 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 1.612 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.612 * [taylor]: Taking taylor expansion of 3/2 in y 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.612 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.618 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.618 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 1.618 * [taylor]: Taking taylor expansion of -1 in y 1.618 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.618 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.618 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.618 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.618 * [taylor]: Taking taylor expansion of -1 in y 1.618 * [taylor]: Taking taylor expansion of x in y 1.618 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.618 * [taylor]: Taking taylor expansion of -1 in y 1.618 * [taylor]: Taking taylor expansion of x in y 1.618 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.618 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.618 * [taylor]: Taking taylor expansion of -1 in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.618 * [taylor]: Taking taylor expansion of -1 in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.622 * [taylor]: Taking taylor expansion of x in y 1.622 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.628 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.628 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.631 * [taylor]: Taking taylor expansion of y in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of -1 in y 1.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.638 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 1.638 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.638 * [taylor]: Taking taylor expansion of 3/2 in y 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.638 * [taylor]: Taking taylor expansion of y in y 1.646 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.647 * [taylor]: Taking taylor expansion of 3/2 in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.647 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.652 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.652 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.652 * [taylor]: Taking taylor expansion of (- x y) in y 1.652 * [taylor]: Taking taylor expansion of x in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.653 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.653 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.653 * [taylor]: Taking taylor expansion of (* x x) in y 1.653 * [taylor]: Taking taylor expansion of x in y 1.653 * [taylor]: Taking taylor expansion of x in y 1.653 * [taylor]: Taking taylor expansion of (* y y) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.654 * [taylor]: Taking taylor expansion of (- x y) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.654 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.654 * [taylor]: Taking taylor expansion of (* x x) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (* y y) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.656 * [taylor]: Taking taylor expansion of (- x y) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.656 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.656 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.656 * [taylor]: Taking taylor expansion of (* x x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (* y y) in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.657 * [taylor]: Taking taylor expansion of -1 in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.663 * [taylor]: Taking taylor expansion of 1/2 in y 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.663 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.668 * [taylor]: Taking taylor expansion of 1/2 in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.669 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.674 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.675 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.679 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.683 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.683 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.684 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.684 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of 1 in y 1.689 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.694 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.694 * [taylor]: Taking taylor expansion of 1/2 in y 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.702 * [taylor]: Taking taylor expansion of 1/2 in y 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.708 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.708 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.708 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.708 * [taylor]: Taking taylor expansion of y in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.708 * [taylor]: Taking taylor expansion of x in y 1.709 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.709 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.709 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.709 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.709 * [taylor]: Taking taylor expansion of x in y 1.709 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.709 * [taylor]: Taking taylor expansion of x in y 1.709 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.709 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.709 * [taylor]: Taking taylor expansion of y in y 1.709 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.709 * [taylor]: Taking taylor expansion of y in y 1.713 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.713 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.713 * [taylor]: Taking taylor expansion of y in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.713 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.713 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.713 * [taylor]: Taking taylor expansion of -1 in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.714 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.718 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.719 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.719 * [taylor]: Taking taylor expansion of -1 in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.719 * [taylor]: Taking taylor expansion of -1 in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.722 * [taylor]: Taking taylor expansion of -1 in y 1.723 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.729 * [taylor]: Taking taylor expansion of 1/2 in y 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.729 * [taylor]: Taking taylor expansion of y in y 1.736 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.736 * [taylor]: Taking taylor expansion of 1/2 in y 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.737 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.737 * [taylor]: Taking taylor expansion of y in y 1.745 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.745 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.745 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.745 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.745 * [taylor]: Taking taylor expansion of (+ x y) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (- x y) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.745 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.745 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.745 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.745 * [taylor]: Taking taylor expansion of (* x x) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of (* y y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.747 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.747 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.747 * [taylor]: Taking taylor expansion of (+ x y) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of y in x 1.747 * [taylor]: Taking taylor expansion of (- x y) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of y in x 1.747 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.747 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.747 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.747 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.747 * [taylor]: Taking taylor expansion of (* x x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of (* y y) in x 1.747 * [taylor]: Taking taylor expansion of y in x 1.747 * [taylor]: Taking taylor expansion of y in x 1.749 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.749 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.749 * [taylor]: Taking taylor expansion of (+ x y) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of y in x 1.749 * [taylor]: Taking taylor expansion of (- x y) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of y in x 1.749 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.749 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.749 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.749 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.749 * [taylor]: Taking taylor expansion of (* x x) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (* y y) in x 1.749 * [taylor]: Taking taylor expansion of y in x 1.749 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of -1 in y 1.751 * [taylor]: Taking taylor expansion of 0 in y 1.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.754 * [taylor]: Taking taylor expansion of 2 in y 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.754 * [taylor]: Taking taylor expansion of y in y 1.760 * [taylor]: Taking taylor expansion of 0 in y 1.761 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.761 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.761 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.761 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.761 * [taylor]: Taking taylor expansion of x in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.761 * [taylor]: Taking taylor expansion of x in y 1.761 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.761 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.762 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.762 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.762 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.762 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.762 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.766 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.766 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.767 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.767 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.767 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.768 * [taylor]: Taking taylor expansion of y in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.768 * [taylor]: Taking taylor expansion of y in x 1.772 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.772 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.772 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.772 * [taylor]: Taking taylor expansion of y in x 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.772 * [taylor]: Taking taylor expansion of y in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.772 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.772 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.773 * [taylor]: Taking taylor expansion of y in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.773 * [taylor]: Taking taylor expansion of y in x 1.777 * [taylor]: Taking taylor expansion of 1 in y 1.779 * [taylor]: Taking taylor expansion of 0 in y 1.785 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.785 * [taylor]: Taking taylor expansion of 2 in y 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.785 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of 0 in y 1.795 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.795 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.795 * [taylor]: Taking taylor expansion of -1 in y 1.795 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.796 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.796 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.796 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.796 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.796 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.796 * [taylor]: Taking taylor expansion of -1 in y 1.796 * [taylor]: Taking taylor expansion of x in y 1.796 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.796 * [taylor]: Taking taylor expansion of -1 in y 1.796 * [taylor]: Taking taylor expansion of x in y 1.796 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.796 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.796 * [taylor]: Taking taylor expansion of -1 in y 1.796 * [taylor]: Taking taylor expansion of y in y 1.796 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.796 * [taylor]: Taking taylor expansion of -1 in y 1.796 * [taylor]: Taking taylor expansion of y in y 1.800 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.800 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.801 * [taylor]: Taking taylor expansion of y in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.801 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.801 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.801 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.801 * [taylor]: Taking taylor expansion of -1 in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.802 * [taylor]: Taking taylor expansion of -1 in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.802 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.802 * [taylor]: Taking taylor expansion of -1 in x 1.802 * [taylor]: Taking taylor expansion of y in x 1.802 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.802 * [taylor]: Taking taylor expansion of -1 in x 1.802 * [taylor]: Taking taylor expansion of y in x 1.806 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.807 * [taylor]: Taking taylor expansion of -1 in x 1.807 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.807 * [taylor]: Taking taylor expansion of y in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.807 * [taylor]: Taking taylor expansion of y in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.808 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.808 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.808 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.808 * [taylor]: Taking taylor expansion of y in x 1.808 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.808 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of 1 in y 1.815 * [taylor]: Taking taylor expansion of 0 in y 1.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.822 * [taylor]: Taking taylor expansion of 2 in y 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.822 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of 0 in y 1.835 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.835 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.835 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.835 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.835 * [taylor]: Taking taylor expansion of (* x x) in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (* y y) in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.836 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.836 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.836 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.837 * [taylor]: Taking taylor expansion of (* x x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (* y y) in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.838 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.838 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.838 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.838 * [taylor]: Taking taylor expansion of (* x x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (* y y) in x 1.838 * [taylor]: Taking taylor expansion of y in x 1.838 * [taylor]: Taking taylor expansion of y in x 1.839 * [taylor]: Taking taylor expansion of y in y 1.839 * [taylor]: Taking taylor expansion of 0 in y 1.841 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.841 * [taylor]: Taking taylor expansion of 1/2 in y 1.841 * [taylor]: Taking taylor expansion of y in y 1.843 * [taylor]: Taking taylor expansion of 0 in y 1.844 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.844 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.844 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.844 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.844 * [taylor]: Taking taylor expansion of x in y 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.844 * [taylor]: Taking taylor expansion of x in y 1.844 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.844 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.844 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.844 * [taylor]: Taking taylor expansion of y in y 1.847 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.847 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.847 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.848 * [taylor]: Taking taylor expansion of y in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.848 * [taylor]: Taking taylor expansion of y in x 1.850 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.851 * [taylor]: Taking taylor expansion of y in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.851 * [taylor]: Taking taylor expansion of y in x 1.854 * [taylor]: Taking taylor expansion of 1 in y 1.854 * [taylor]: Taking taylor expansion of 0 in y 1.856 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.857 * [taylor]: Taking taylor expansion of 1/2 in y 1.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.860 * [taylor]: Taking taylor expansion of 0 in y 1.862 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.862 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.862 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.862 * [taylor]: Taking taylor expansion of -1 in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.862 * [taylor]: Taking taylor expansion of -1 in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.862 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.862 * [taylor]: Taking taylor expansion of -1 in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.862 * [taylor]: Taking taylor expansion of -1 in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.865 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.865 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.866 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.866 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.869 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.869 * [taylor]: Taking taylor expansion of -1 in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.869 * [taylor]: Taking taylor expansion of -1 in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.870 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.870 * [taylor]: Taking taylor expansion of -1 in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.870 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.870 * [taylor]: Taking taylor expansion of -1 in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.872 * [taylor]: Taking taylor expansion of 1 in y 1.873 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.875 * [taylor]: Taking taylor expansion of 1/2 in y 1.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.879 * [taylor]: Taking taylor expansion of 0 in y 1.880 * * * [progress]: simplifying candidates 1.889 * [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))) (log1p (/ (- x y) (hypot x y))) (- (log (- x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (/ (- x y) 1) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ 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(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 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 1 -1 -1 1 -1 -1 1 1 y x (* -1 x) 1.989 * * * [progress]: adding candidates to table 2.854 * [progress]: [Phase 3 of 3] Extracting. 2.854 * * [regime]: Finding splitpoints for: (# # # # #) 2.855 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 2.855 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # # #) 2.871 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.891 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.909 * * * [regime]: Found split indices: #