4.786 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.032 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.043 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.049 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.056 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.067 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.085 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.137 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.138 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.236 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.236 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.236 * [taylor]: Taking taylor expansion of (+ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (- x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.238 * [taylor]: Taking taylor expansion of (+ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (- x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.238 * [taylor]: Taking taylor expansion of (+ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (- x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of -1 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [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 0.251 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.251 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of 2 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [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 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.285 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.285 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of 2 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.321 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.359 * * * [progress]: simplifying candidates 0.364 * [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))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ (- x y) (* 1 1)) (/ (+ x y) (+ (* x x) (* y y))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (* (- x y) (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) 1) (/ (cbrt (* (- x y) (+ x y))) (+ (* x x) (* y y))) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) 1) (/ (cbrt (* (- x y) (+ x y))) (+ (* x x) (* y y))) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) 1) (/ (cbrt (* (- x y) (+ x y))) (+ (* x x) (* y y))) (/ (* (cbrt (* (- x y) (+ x y))) 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y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (/ (sqrt (- x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (sqrt (- x y)) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (/ (hypot x y) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (/ (fma x x (* y y)) (+ x y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ 2 (* (hypot x y) 2)) (/ (- x y) (/ (hypot x y) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- (sqrt x) (sqrt y)) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (+ (sqrt x) (sqrt y)) (hypot x y)) (/ (- (sqrt x) (sqrt y)) (/ (hypot x y) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ 2 (* (hypot x y) 2)) (/ (- x y) (/ (hypot x y) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 1 (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (cbrt (+ (* x x) (* y y)))) (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)) (+ x y) (/ (- x y) (fma x x (* y y))) (+ x y) (/ (- x y) (fma x x (* y y))) (+ x y) (/ (- x y) (fma x x (* y y))) (+ x y) (/ (- x y) (fma x x (* y y))) (+ x y) (/ (- x y) (fma x x (* y y))) (+ x y) (/ (- x y) (fma 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 y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (/ (fma x x (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (cbrt (* (- x y) (+ x y)))) (/ (fma x x (* y y)) (sqrt (* (- x y) (+ x y)))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (/ (fma x x (* y y)) (sqrt (- x y))) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (fma x x (* y y)) (sqrt (+ x y))) (/ (fma x x (* y y)) (+ x y)) (/ (fma x x (* y y)) (+ x y)) (/ (/ (fma x x (* y y)) (cbrt (- x y))) (+ x y)) (/ (/ (fma x x (* y y)) (sqrt (- x y))) (+ x y)) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (/ (fma x x (* y y)) (- (sqrt x) (sqrt y))) (+ x y)) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (fma x x (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (- x y) (/ (* (fma x x (* y y)) (- (* x x) (* y y))) (+ x y))) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow (* x x) 3) (pow (* y y) 3)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.467 * * * [progress]: adding candidates to table 0.691 * * [progress]: iteration 2 / 4 0.692 * * * [progress]: picking best candidate 0.703 * * * * [pick]: Picked # 0.703 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.743 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.750 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.777 * * * [progress]: generating series expansions 0.777 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.777 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 0.777 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 0.777 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.777 * [taylor]: Taking taylor expansion of (+ x y) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (- x y) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.777 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.778 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.778 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.778 * [taylor]: Taking taylor expansion of (* x x) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (* y y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.780 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.780 * [taylor]: Taking taylor expansion of (+ x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (- x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.781 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.781 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.781 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.781 * [taylor]: Taking taylor expansion of (* x x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (* y y) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.783 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.783 * [taylor]: Taking taylor expansion of (+ x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (- x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.783 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.783 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.783 * [taylor]: Taking taylor expansion of (* x x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (* y y) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.791 * [taylor]: Taking taylor expansion of 2 in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 0.806 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.807 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.807 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.813 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.813 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.815 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.815 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.815 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.821 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.822 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.822 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.822 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of 1 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.838 * [taylor]: Taking taylor expansion of 2 in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 0.851 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.851 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 0.851 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.852 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.852 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.852 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.852 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.852 * [taylor]: Taking taylor expansion of -1 in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.852 * [taylor]: Taking taylor expansion of -1 in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.853 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.853 * [taylor]: Taking taylor expansion of -1 in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.853 * [taylor]: Taking taylor expansion of -1 in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.859 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.859 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.860 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.866 * [taylor]: Taking taylor expansion of -1 in x 0.866 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.867 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.867 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.867 * [taylor]: Taking taylor expansion of -1 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.868 * [taylor]: Taking taylor expansion of -1 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.868 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.868 * [taylor]: Taking taylor expansion of -1 in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.868 * [taylor]: Taking taylor expansion of -1 in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of 1 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.899 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.899 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 0.899 * [taylor]: Taking taylor expansion of (+ x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.899 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.899 * [taylor]: Taking taylor expansion of (* x x) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (* y y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.905 * [taylor]: Taking taylor expansion of (+ x y) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.905 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.905 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.905 * [taylor]: Taking taylor expansion of (* x x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* y y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.907 * [taylor]: Taking taylor expansion of (+ x y) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.907 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.907 * [taylor]: Taking taylor expansion of (* x x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* y y) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of 1 in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.913 * [taylor]: Taking taylor expansion of 1/2 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.921 * [taylor]: Taking taylor expansion of 1/2 in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.921 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.928 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.929 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.940 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.940 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.952 * [taylor]: Taking taylor expansion of 1/2 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.962 * [taylor]: Taking taylor expansion of 1/2 in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.970 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 0.970 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 0.970 * [taylor]: Taking taylor expansion of -1 in y 0.970 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.971 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.971 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.971 * [taylor]: Taking taylor expansion of -1 in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.971 * [taylor]: Taking taylor expansion of -1 in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.971 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.971 * [taylor]: Taking taylor expansion of -1 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.971 * [taylor]: Taking taylor expansion of -1 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.976 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.977 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.977 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.978 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.978 * [taylor]: Taking taylor expansion of -1 in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.983 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.983 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.983 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of -1 in y 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of 1/2 in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.012 * [taylor]: Taking taylor expansion of 1/2 in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.019 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.019 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.019 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.019 * [taylor]: Taking taylor expansion of (- x y) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.020 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.020 * [taylor]: Taking taylor expansion of (* x x) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (* y y) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.022 * [taylor]: Taking taylor expansion of (- x y) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.022 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.022 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.022 * [taylor]: Taking taylor expansion of (* x x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* y y) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.024 * [taylor]: Taking taylor expansion of (- x y) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.024 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.024 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.024 * [taylor]: Taking taylor expansion of (* x x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* y y) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of -1 in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of 1/2 in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.037 * [taylor]: Taking taylor expansion of 1/2 in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.037 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.044 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.044 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.044 * [taylor]: Taking taylor expansion of x in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.045 * [taylor]: Taking taylor expansion of x in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.045 * [taylor]: Taking taylor expansion of x in y 1.045 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.056 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.057 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.057 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.062 * [taylor]: Taking taylor expansion of 1 in y 1.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.070 * [taylor]: Taking taylor expansion of 1/2 in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.081 * [taylor]: Taking taylor expansion of 1/2 in y 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.081 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.088 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.088 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.088 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.088 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.089 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.089 * [taylor]: Taking taylor expansion of -1 in y 1.089 * [taylor]: Taking taylor expansion of x in y 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.089 * [taylor]: Taking taylor expansion of -1 in y 1.089 * [taylor]: Taking taylor expansion of x in y 1.089 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.089 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.089 * [taylor]: Taking taylor expansion of -1 in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.089 * [taylor]: Taking taylor expansion of -1 in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.094 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.094 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.094 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.094 * [taylor]: Taking taylor expansion of -1 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of y in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.104 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.104 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.104 * [taylor]: Taking taylor expansion of -1 in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.105 * [taylor]: Taking taylor expansion of -1 in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.105 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.105 * [taylor]: Taking taylor expansion of -1 in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.105 * [taylor]: Taking taylor expansion of -1 in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of -1 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.118 * [taylor]: Taking taylor expansion of 1/2 in y 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.129 * [taylor]: Taking taylor expansion of 1/2 in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.129 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.136 * * * [progress]: simplifying candidates 1.141 * [simplify]: Simplifying using # : (expm1 (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (log1p (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (+ (- (log (+ x y)) (log (hypot x y))) (- (log (- x y)) (log (hypot x y)))) (+ (- (log (+ x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y)))) (+ (log (/ (+ x y) (hypot x y))) (- (log (- x y)) (log (hypot x y)))) (+ (log (/ (+ x y) (hypot x y))) (log (/ (- x y) (hypot x y)))) (log (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)))) (* (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (+ x y) (- x y)) (* (hypot x y) (hypot x y)) (* (+ x y) (- (- x y))) (* (hypot x y) (- (hypot x y))) (* (+ x y) 1) (* (hypot x y) (/ (hypot x y) (- x y))) (* (+ x y) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (hypot x y) (cbrt (hypot x y))) (* (+ x y) (/ (- x y) (sqrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (+ x y) (/ (- x y) 1)) (* (hypot x y) (hypot x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (hypot x y) (/ (hypot x y) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (hypot x y) (/ (hypot x y) (sqrt (- x y)))) (* (+ x y) 1) (* (hypot x y) (/ (hypot x y) (- x y))) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (hypot x y) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* (+ x y) 1) (* (hypot x y) (/ (hypot x y) (- x y))) (* (+ x y) (- (pow x 3) (pow y 3))) (* (hypot x y) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y))))) (* (+ x y) (- (* x x) (* y y))) (* (hypot x y) (* (hypot x y) (+ x y))) (* (- (+ x y)) (- x y)) (* (- (hypot x y)) (hypot x y)) (* (- (+ x y)) (- (- x y))) (* (- (hypot x y)) (- (hypot x y))) (* (- (+ x y)) 1) (* (- (hypot x y)) (/ (hypot x y) (- x y))) (* (- (+ x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (- (hypot x y)) (cbrt (hypot x y))) (* (- (+ x y)) (/ (- x y) (sqrt (hypot x y)))) (* (- (hypot x y)) (sqrt (hypot x y))) (* (- (+ x y)) (/ (- x y) 1)) (* (- (hypot x y)) (hypot x y)) (* (- (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (* (- (hypot x y)) (/ (hypot x y) (cbrt (- x y)))) (* (- (+ x y)) (sqrt (- x y))) (* (- (hypot x y)) (/ (hypot x y) (sqrt (- x y)))) (* (- (+ x y)) 1) (* (- (hypot x y)) (/ (hypot x y) (- x y))) (* (- (+ x y)) (+ (sqrt x) (sqrt y))) (* (- (hypot x y)) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* (- (+ x y)) 1) (* (- (hypot x y)) (/ (hypot x y) (- x y))) (* (- (+ x y)) (- (pow x 3) (pow y 3))) (* (- (hypot x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y))))) (* (- (+ x y)) (- (* x x) (* y y))) (* (- (hypot x y)) (* (hypot x y) (+ x y))) (* 1 (- x y)) (* (/ (hypot x y) (+ x y)) (hypot x y)) (* 1 (- (- x y))) (* (/ (hypot x y) (+ x y)) (- (hypot x y))) (* 1 1) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (- x y))) (* 1 (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (hypot x y) (+ x y)) (cbrt (hypot x y))) (* 1 (/ (- x y) (sqrt (hypot x y)))) (* (/ (hypot x y) (+ x y)) (sqrt (hypot x y))) (* 1 (/ (- x y) 1)) (* (/ (hypot x y) (+ x y)) (hypot x y)) (* 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (cbrt (- x y)))) (* 1 (sqrt (- x y))) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (sqrt (- x y)))) (* 1 1) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (- x y))) (* 1 (+ (sqrt x) (sqrt y))) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* 1 1) (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (- x y))) (* 1 (- (pow x 3) (pow y 3))) (* (/ (hypot x y) (+ x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y))))) (* 1 (- (* x x) (* y y))) (* (/ (hypot x y) (+ x y)) (* (hypot x y) (+ x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (- x y)) (* (cbrt (hypot x y)) (hypot x y)) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (- (- x y))) (* (cbrt (hypot x y)) (- (hypot x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 1) (* (cbrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y)))) (* (cbrt (hypot x y)) (sqrt (hypot x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) 1)) (* (cbrt (hypot 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)) (/ (hypot x y) (cbrt (- x y)))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (- x y))) (* (cbrt (hypot x y)) (/ (hypot x y) (sqrt (- x y)))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 1) (* (cbrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (+ (sqrt x) (sqrt y))) (* (cbrt (hypot x y)) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 1) (* (cbrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (- (pow x 3) (pow y 3))) (* (cbrt (hypot x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y))))) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (- (* x x) (* y y))) (* (cbrt (hypot x y)) (* (hypot x y) (+ x y))) (* (/ (+ x y) (sqrt (hypot x y))) (- x y)) (* (sqrt (hypot x y)) (hypot x y)) (* (/ (+ x y) (sqrt (hypot x y))) (- (- x y))) (* (sqrt (hypot x y)) (- (hypot x y))) (* (/ (+ x y) (sqrt (hypot x y))) 1) (* (sqrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (hypot x y)) (cbrt (hypot x y))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) 1)) (* (sqrt (hypot x y)) (hypot x y)) (* (/ (+ x y) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (* (sqrt (hypot x y)) (/ (hypot x y) (cbrt (- x y)))) (* (/ (+ x y) (sqrt (hypot x y))) (sqrt (- x y))) (* (sqrt (hypot x y)) (/ (hypot x y) (sqrt (- x y)))) (* (/ (+ x y) (sqrt (hypot x y))) 1) (* (sqrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y))) (* (sqrt (hypot x y)) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* (/ (+ x y) (sqrt (hypot x y))) 1) (* (sqrt (hypot x y)) (/ (hypot x y) (- x y))) (* (/ (+ x y) (sqrt (hypot x y))) (- (pow x 3) (pow y 3))) (* 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(- x y) (hypot x y))) (* (/ (+ x y) (cbrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (sqrt (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (/ (- x y) (hypot x y)) (hypot x y)) (* (+ x y) (/ (- x y) (hypot x y))) (* (- (+ x y)) (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (sqrt (hypot x y)))) (* (+ x y) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (+ x y) (sqrt (- x y))) (hypot x y)) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (- (pow x 3) (pow y 3))) (* (/ (+ x y) (hypot x y)) (- (* x x) (* y y))) (* (+ x y) (/ (- x y) (hypot x y))) (* (- (+ x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)) (* (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (sqrt (hypot x y)))) (* (+ x y) (/ (- x y) (hypot x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- x y) (hypot x y))) (* (sqrt (+ x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (+ (pow x 3) (pow y 3)) (/ (- x y) (hypot x y))) (* (- (* x x) (* y y)) (/ (- x y) (hypot x y))) (expm1 (/ (+ x y) (hypot x y))) (log1p (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (cbrt (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (/ (cbrt (+ x y)) (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (+ x y) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (hypot x y) (fma y (- y x) (* x x))) (* (hypot x y) (- x y)) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) -1 1 1 1 1 -1 -1 1 -1 1.220 * * * [progress]: adding candidates to table 1.692 * * [progress]: iteration 3 / 4 1.692 * * * [progress]: picking best candidate 1.699 * * * * [pick]: Picked # 1.699 * * * [progress]: localizing error 1.711 * * * [progress]: generating rewritten candidates 1.711 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.736 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.749 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.791 * * * [progress]: generating series expansions 1.791 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.792 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.792 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.792 * [taylor]: Taking taylor expansion of (+ x y) in y 1.792 * [taylor]: Taking taylor expansion of x in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.792 * [taylor]: Taking taylor expansion of (- x y) in y 1.792 * [taylor]: Taking taylor expansion of x in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.792 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.792 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.792 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.792 * [taylor]: Taking taylor expansion of (* x x) in y 1.792 * [taylor]: Taking taylor expansion of x in y 1.792 * [taylor]: Taking taylor expansion of x in y 1.792 * [taylor]: Taking taylor expansion of (* y y) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.794 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.794 * [taylor]: Taking taylor expansion of (+ x y) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (- x y) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.794 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.794 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.794 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.794 * [taylor]: Taking taylor expansion of (* x x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (* y y) in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.796 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.796 * [taylor]: Taking taylor expansion of (+ x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (- x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.796 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.796 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.796 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.796 * [taylor]: Taking taylor expansion of (* x x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of (* y y) in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.798 * [taylor]: Taking taylor expansion of -1 in y 1.799 * [taylor]: Taking taylor expansion of 0 in y 1.802 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.802 * [taylor]: Taking taylor expansion of 2 in y 1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.802 * [taylor]: Taking taylor expansion of y in y 1.808 * [taylor]: Taking taylor expansion of 0 in y 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.809 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.809 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.810 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.810 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.810 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.810 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.810 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.816 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.816 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.816 * [taylor]: Taking taylor expansion of y in x 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.816 * [taylor]: Taking taylor expansion of y in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.817 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.817 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.817 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.817 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.822 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.822 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.822 * [taylor]: Taking taylor expansion of y in x 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.823 * [taylor]: Taking taylor expansion of y in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.823 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.823 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.824 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.824 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.828 * [taylor]: Taking taylor expansion of 1 in y 1.830 * [taylor]: Taking taylor expansion of 0 in y 1.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.837 * [taylor]: Taking taylor expansion of 2 in y 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.837 * [taylor]: Taking taylor expansion of y in y 1.853 * [taylor]: Taking taylor expansion of 0 in y 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.854 * [taylor]: Taking taylor expansion of -1 in y 1.854 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.854 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.854 * [taylor]: Taking taylor expansion of y in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.854 * [taylor]: Taking taylor expansion of y in y 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.855 * [taylor]: Taking taylor expansion of x in y 1.855 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.855 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.855 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.855 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.855 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.855 * [taylor]: Taking taylor expansion of -1 in y 1.855 * [taylor]: Taking taylor expansion of x in y 1.855 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.855 * [taylor]: Taking taylor expansion of -1 in y 1.855 * [taylor]: Taking taylor expansion of x in y 1.855 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.855 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.855 * [taylor]: Taking taylor expansion of -1 in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.855 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.856 * [taylor]: Taking taylor expansion of -1 in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.860 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.860 * [taylor]: Taking taylor expansion of -1 in x 1.860 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.860 * [taylor]: Taking taylor expansion of y in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.861 * [taylor]: Taking taylor expansion of y in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.861 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.861 * [taylor]: Taking taylor expansion of -1 in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.862 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.866 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.867 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.867 * [taylor]: Taking taylor expansion of y in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.867 * [taylor]: Taking taylor expansion of y in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.867 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.867 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.868 * [taylor]: Taking taylor expansion of -1 in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.868 * [taylor]: Taking taylor expansion of -1 in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.868 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.868 * [taylor]: Taking taylor expansion of -1 in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.868 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.868 * [taylor]: Taking taylor expansion of -1 in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.873 * [taylor]: Taking taylor expansion of 1 in y 1.876 * [taylor]: Taking taylor expansion of 0 in y 1.883 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of 2 in y 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of 0 in y 1.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.894 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.894 * [taylor]: Taking taylor expansion of (+ x y) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.894 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.894 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.894 * [taylor]: Taking taylor expansion of (* x x) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [taylor]: Taking taylor expansion of (* y y) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.896 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.896 * [taylor]: Taking taylor expansion of (+ x y) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.896 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.896 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.896 * [taylor]: Taking taylor expansion of (* x x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of (* y y) in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.897 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.897 * [taylor]: Taking taylor expansion of (+ x y) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of y in x 1.897 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.897 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.897 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.897 * [taylor]: Taking taylor expansion of (* x x) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (* y y) in x 1.897 * [taylor]: Taking taylor expansion of y in x 1.897 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of 1 in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.902 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.902 * [taylor]: Taking taylor expansion of 1/2 in y 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.902 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.908 * [taylor]: Taking taylor expansion of 1/2 in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.908 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.914 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.914 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.914 * [taylor]: Taking taylor expansion of y in y 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.914 * [taylor]: Taking taylor expansion of x in y 1.914 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.914 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.914 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.914 * [taylor]: Taking taylor expansion of x in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.915 * [taylor]: Taking taylor expansion of x in y 1.915 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.915 * [taylor]: Taking taylor expansion of y in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.915 * [taylor]: Taking taylor expansion of y in y 1.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.918 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.919 * [taylor]: Taking taylor expansion of y in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.919 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.923 * [taylor]: Taking taylor expansion of y in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.924 * [taylor]: Taking taylor expansion of y in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.928 * [taylor]: Taking taylor expansion of 1 in y 1.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.929 * [taylor]: Taking taylor expansion of y in y 1.938 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.938 * [taylor]: Taking taylor expansion of 1/2 in y 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.939 * [taylor]: Taking taylor expansion of y in y 1.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.947 * [taylor]: Taking taylor expansion of 1/2 in y 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.947 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.947 * [taylor]: Taking taylor expansion of y in y 1.953 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.953 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.953 * [taylor]: Taking taylor expansion of -1 in y 1.953 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.953 * [taylor]: Taking taylor expansion of y in y 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.954 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.954 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.954 * [taylor]: Taking taylor expansion of -1 in y 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.954 * [taylor]: Taking taylor expansion of -1 in y 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.954 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.954 * [taylor]: Taking taylor expansion of -1 in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.955 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.955 * [taylor]: Taking taylor expansion of -1 in y 1.955 * [taylor]: Taking taylor expansion of y in y 1.958 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.958 * [taylor]: Taking taylor expansion of -1 in x 1.958 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.959 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.959 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.959 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.959 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.959 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.960 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.960 * [taylor]: Taking taylor expansion of -1 in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.960 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.960 * [taylor]: Taking taylor expansion of -1 in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.963 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.963 * [taylor]: Taking taylor expansion of -1 in x 1.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.964 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [taylor]: Taking taylor expansion of y in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of -1 in y 1.970 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.970 * [taylor]: Taking taylor expansion of y in y 1.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.976 * [taylor]: Taking taylor expansion of 1/2 in y 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.984 * [taylor]: Taking taylor expansion of 1/2 in y 1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.985 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.985 * [taylor]: Taking taylor expansion of y in y 1.990 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.990 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.990 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.990 * [taylor]: Taking taylor expansion of (- x y) in y 1.990 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.991 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.991 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.991 * [taylor]: Taking taylor expansion of (* x x) in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of (* y y) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.992 * [taylor]: Taking taylor expansion of (- x y) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.992 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.992 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.992 * [taylor]: Taking taylor expansion of (* x x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (* y y) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.994 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.994 * [taylor]: Taking taylor expansion of (- x y) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of y in x 1.994 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.994 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.994 * [taylor]: Taking taylor expansion of (* x x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (* y y) in x 1.994 * [taylor]: Taking taylor expansion of y in x 1.994 * [taylor]: Taking taylor expansion of y in x 1.995 * [taylor]: Taking taylor expansion of -1 in y 1.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.999 * [taylor]: Taking taylor expansion of 1/2 in y 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.999 * [taylor]: Taking taylor expansion of y in y 2.005 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.005 * [taylor]: Taking taylor expansion of 1/2 in y 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.005 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.011 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 2.011 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.011 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.011 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.011 * [taylor]: Taking taylor expansion of x in y 2.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.020 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.021 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.021 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.025 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.025 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.026 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.030 * [taylor]: Taking taylor expansion of 1 in y 2.031 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.031 * [taylor]: Taking taylor expansion of y in y 2.037 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 2.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.037 * [taylor]: Taking taylor expansion of 1/2 in y 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.046 * [taylor]: Taking taylor expansion of 1/2 in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.046 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.052 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 2.052 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 2.052 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.052 * [taylor]: Taking taylor expansion of y in y 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.052 * [taylor]: Taking taylor expansion of x in y 2.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.052 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.052 * [taylor]: Taking taylor expansion of -1 in y 2.052 * [taylor]: Taking taylor expansion of x in y 2.052 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.052 * [taylor]: Taking taylor expansion of -1 in y 2.052 * [taylor]: Taking taylor expansion of x in y 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.052 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.052 * [taylor]: Taking taylor expansion of -1 in y 2.052 * [taylor]: Taking taylor expansion of y in y 2.053 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.053 * [taylor]: Taking taylor expansion of -1 in y 2.053 * [taylor]: Taking taylor expansion of y in y 2.056 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.057 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.057 * [taylor]: Taking taylor expansion of y in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.057 * [taylor]: Taking taylor expansion of -1 in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of y in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of y in x 2.062 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 2.062 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.062 * [taylor]: Taking taylor expansion of y in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.062 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.062 * [taylor]: Taking taylor expansion of -1 in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.067 * [taylor]: Taking taylor expansion of -1 in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.068 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 2.074 * [taylor]: Taking taylor expansion of 1/2 in y 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.082 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 2.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 2.083 * [taylor]: Taking taylor expansion of 1/2 in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.083 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.089 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.089 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 2.089 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 2.089 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.089 * [taylor]: Taking taylor expansion of (+ x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (- x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 2.089 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.089 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.089 * [taylor]: Taking taylor expansion of (* x x) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of (* y y) in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.091 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.091 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.091 * [taylor]: Taking taylor expansion of (+ x y) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of (- x y) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.091 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.091 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.091 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.091 * [taylor]: Taking taylor expansion of (* x x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (* y y) in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 2.093 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.093 * [taylor]: Taking taylor expansion of (+ x y) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (- x y) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 2.093 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.093 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.093 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.093 * [taylor]: Taking taylor expansion of (* x x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (* y y) in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.095 * [taylor]: Taking taylor expansion of -1 in y 2.096 * [taylor]: Taking taylor expansion of 0 in y 2.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.099 * [taylor]: Taking taylor expansion of 2 in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.110 * [taylor]: Taking taylor expansion of 0 in y 2.110 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 2.110 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 2.110 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.110 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.110 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.110 * [taylor]: Taking taylor expansion of x in y 2.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.110 * [taylor]: Taking taylor expansion of y in y 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.111 * [taylor]: Taking taylor expansion of x in y 2.111 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 2.111 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.111 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.111 * [taylor]: Taking taylor expansion of x in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.111 * [taylor]: Taking taylor expansion of x in y 2.111 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.112 * [taylor]: Taking taylor expansion of y in y 2.116 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.116 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.117 * [taylor]: Taking taylor expansion of y in x 2.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.117 * [taylor]: Taking taylor expansion of y in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.117 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.117 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.118 * [taylor]: Taking taylor expansion of y in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.118 * [taylor]: Taking taylor expansion of y in x 2.122 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 2.122 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.122 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.122 * [taylor]: Taking taylor expansion of y in x 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.122 * [taylor]: Taking taylor expansion of y in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 2.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.123 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.124 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.124 * [taylor]: Taking taylor expansion of y in x 2.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.124 * [taylor]: Taking taylor expansion of y in x 2.128 * [taylor]: Taking taylor expansion of 1 in y 2.130 * [taylor]: Taking taylor expansion of 0 in y 2.136 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.137 * [taylor]: Taking taylor expansion of 2 in y 2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.137 * [taylor]: Taking taylor expansion of y in y 2.147 * [taylor]: Taking taylor expansion of 0 in y 2.147 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 2.147 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 2.147 * [taylor]: Taking taylor expansion of -1 in y 2.147 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 2.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.147 * [taylor]: Taking taylor expansion of y in y 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.148 * [taylor]: Taking taylor expansion of x in y 2.148 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.148 * [taylor]: Taking taylor expansion of y in y 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.148 * [taylor]: Taking taylor expansion of x in y 2.148 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 2.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.148 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.148 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.148 * [taylor]: Taking taylor expansion of -1 in y 2.148 * [taylor]: Taking taylor expansion of x in y 2.148 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.148 * [taylor]: Taking taylor expansion of -1 in y 2.148 * [taylor]: Taking taylor expansion of x in y 2.148 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.148 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.148 * [taylor]: Taking taylor expansion of -1 in y 2.148 * [taylor]: Taking taylor expansion of y in y 2.149 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.149 * [taylor]: Taking taylor expansion of -1 in y 2.149 * [taylor]: Taking taylor expansion of y in y 2.153 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.153 * [taylor]: Taking taylor expansion of -1 in x 2.153 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.153 * [taylor]: Taking taylor expansion of y in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.153 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.154 * [taylor]: Taking taylor expansion of y in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.154 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.154 * [taylor]: Taking taylor expansion of -1 in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of y in x 2.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of y in x 2.160 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 2.160 * [taylor]: Taking taylor expansion of -1 in x 2.160 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 2.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.160 * [taylor]: Taking taylor expansion of y in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.160 * [taylor]: Taking taylor expansion of y in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 2.160 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.161 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.161 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.161 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.161 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.161 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.161 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [taylor]: Taking taylor expansion of y in x 2.161 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.161 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [taylor]: Taking taylor expansion of y in x 2.167 * [taylor]: Taking taylor expansion of 1 in y 2.169 * [taylor]: Taking taylor expansion of 0 in y 2.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.176 * [taylor]: Taking taylor expansion of 2 in y 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.176 * [taylor]: Taking taylor expansion of y in y 2.192 * [taylor]: Taking taylor expansion of 0 in y 2.192 * * * [progress]: simplifying candidates 2.198 * [simplify]: Simplifying using # : (expm1 (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (log1p (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (+ (- (log (+ x y)) (log (hypot x y))) (- (log (- x y)) (log (hypot x y)))) (+ (- (log (+ x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y)))) (+ (log (/ (+ x y) (hypot x y))) (- (log (- x y)) (log (hypot x y)))) (+ (log (/ (+ x y) (hypot x y))) (log (/ (- x y) (hypot x y)))) (log (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)))) (* (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (* (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (+ x y) (- x y)) (* (hypot x y) (hypot x y)) (* (+ x y) (- (- x y))) (* (hypot x y) (- (hypot x y))) (* (+ x y) 1) (* (hypot x y) (/ (hypot x y) (- x y))) (* (+ x y) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (hypot x y) (cbrt (hypot x y))) (* (+ x y) (/ (- x y) (sqrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (+ x y) (/ (- x y) 1)) (* (hypot x y) (hypot x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (hypot x y) (/ (hypot x y) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (hypot x y) (/ (hypot x y) (sqrt (- x y)))) (* (+ x y) 1) (* (hypot x y) (/ (hypot x y) (- x y))) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (hypot x y) (/ (hypot x y) (- (sqrt x) (sqrt y)))) (* (+ x y) 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(- x y))) (hypot x y)) (/ (/ (+ x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (+ x y) (hypot x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y)))) (/ (* (+ x y) (+ (sqrt x) (sqrt y))) (hypot x y)) (/ (/ (+ x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (+ x y) (hypot x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y)) (* (- x y) (/ (+ x y) (hypot x y))) (* (cbrt (/ (+ x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (sqrt (/ (+ x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (cbrt (+ x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (cbrt (+ x y)) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (sqrt (+ x y)) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (cbrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (cbrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (/ (- x y) (hypot x y)) (hypot x y)) (* (- x y) (/ (+ x y) (hypot x y))) (* (- (+ x y)) (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (- x y) (/ (+ x y) (hypot x y))) (/ (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (hypot x y)) (/ (* (+ x y) (sqrt (- x y))) (hypot x y)) (/ (+ x y) (hypot x y)) (/ (* (+ x y) (+ (sqrt x) (sqrt y))) (hypot x y)) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (- (pow x 3) (pow y 3))) (* (/ (+ x y) (hypot x y)) (- (* x x) (* y y))) (* (- x y) (/ (+ x y) (hypot x y))) (* (- (+ x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (sqrt (hypot x y))) (/ (- x y) (hypot x y))) (* (- x y) (/ (+ x y) (hypot x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- x y) (hypot x y))) (* (sqrt (+ x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (+ (pow x 3) (pow y 3)) (/ (- x y) (hypot x y))) (* (- (* x x) (* y y)) (/ (- x y) (hypot x y))) (expm1 (/ (+ x y) (hypot x y))) (log1p (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (cbrt (/ (+ x y) (hypot x y))) (pow (/ (+ x y) (hypot x y)) 3) (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (/ (cbrt (+ x y)) (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) 1 (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (+ x y) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (hypot x y) (fma y (- y x) (* x x))) (* (hypot x y) (- x y)) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) (expm1 (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (log1p (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* 2 (log (cbrt (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))))))) (log (cbrt (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))))) (log (sqrt (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))))) (log (sqrt (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))))) 0 (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)) (* (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) 1 (* (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y)))) (* (sqrt (/ (+ x y) (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y)))) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (/ (- x y) (hypot x y)))) (* (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y)))) (* (/ (+ x y) (hypot x y)) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y))))) (* (/ (+ x y) (hypot x y)) (sqrt (/ (- x y) (hypot x y)))) (* (/ (+ x y) (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y)))) (/ (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (hypot x y)) (/ (sqrt (- x y)) (sqrt (hypot x y)))) (/ (* (+ x y) (sqrt (- x y))) (hypot x y)) (/ (/ (+ x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (+ x y) (hypot x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (* (/ (+ x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (+ x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y)))) (/ (* (+ x y) (+ (sqrt x) (sqrt y))) (hypot x y)) (/ (/ (+ x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (+ x y) (hypot x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y)) (* (- x y) (/ (+ x y) (hypot x y))) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (sqrt (/ (+ x y) (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (sqrt (+ x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ 1 (sqrt (hypot x y))) 1 (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ 1 (sqrt (hypot x y))) 1 1 (+ x y) (/ (- x y) (hypot x y)) (log (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (exp (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (* (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))))) (cbrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (pow (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y))) 3) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) (sqrt (* (/ (+ x y) (hypot x y)) (/ (- x y) (hypot x y)))) -1 1 1 1 1 -1 -1 1 -1 -1 1 1 2.268 * * * [progress]: adding candidates to table 2.993 * * [progress]: iteration 4 / 4 2.994 * * * [progress]: picking best candidate 2.999 * * * * [pick]: Picked # 2.999 * * * [progress]: localizing error 3.013 * * * [progress]: generating rewritten candidates 3.014 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.021 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.069 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.249 * * * [progress]: generating series expansions 3.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.249 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot x y))) (- x y)) in (x y) around 0 3.249 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot x y))) (- x y)) in y 3.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot x y))) in y 3.249 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in y 3.249 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.249 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.249 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.249 * [taylor]: Taking taylor expansion of (* x x) in y 3.249 * [taylor]: Taking taylor expansion of x in y 3.249 * [taylor]: Taking taylor expansion of x in y 3.249 * [taylor]: Taking taylor expansion of (* y y) in y 3.249 * [taylor]: Taking taylor expansion of y in y 3.249 * [taylor]: Taking taylor expansion of y in y 3.251 * [taylor]: Taking taylor expansion of (- x y) in y 3.251 * [taylor]: Taking taylor expansion of x in y 3.251 * [taylor]: Taking taylor expansion of y in y 3.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot x y))) (- x y)) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot x y))) in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 3.251 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.251 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.251 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.252 * [taylor]: Taking taylor expansion of (* x x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [taylor]: Taking taylor expansion of (* y y) in x 3.252 * [taylor]: Taking taylor expansion of y in x 3.252 * [taylor]: Taking taylor expansion of y in x 3.253 * [taylor]: Taking taylor expansion of (- x y) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of y in x 3.253 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot x y))) (- x y)) in x 3.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot x y))) in x 3.253 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 3.253 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.253 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.253 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.253 * [taylor]: Taking taylor expansion of (* x x) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of (* y y) in x 3.253 * [taylor]: Taking taylor expansion of y in x 3.253 * [taylor]: Taking taylor expansion of y in x 3.255 * [taylor]: Taking taylor expansion of (- x y) in x 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [taylor]: Taking taylor expansion of y in x 3.255 * [taylor]: Taking taylor expansion of (* -1 (sqrt y)) in y 3.255 * [taylor]: Taking taylor expansion of -1 in y 3.255 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.255 * [taylor]: Taking taylor expansion of y in y 3.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.257 * [taylor]: Taking taylor expansion of y in y 3.263 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 3.264 * [taylor]: Taking taylor expansion of 1/4 in y 3.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.264 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.264 * [taylor]: Taking taylor expansion of y in y 3.271 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y))))) in (x y) around 0 3.271 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y))))) in y 3.271 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.271 * [taylor]: Taking taylor expansion of x in y 3.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.271 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y)))) in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in y 3.272 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.272 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.272 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.277 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y))))) in x 3.277 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.277 * [taylor]: Taking taylor expansion of y in x 3.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y)))) in x 3.277 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 3.278 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.278 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.278 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.278 * [taylor]: Taking taylor expansion of x in x 3.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.278 * [taylor]: Taking taylor expansion of x in x 3.278 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.278 * [taylor]: Taking taylor expansion of y in x 3.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.278 * [taylor]: Taking taylor expansion of y in x 3.283 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y))))) in x 3.283 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.283 * [taylor]: Taking taylor expansion of y in x 3.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ 1 x) (/ 1 y)))) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 3.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.283 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.289 * [taylor]: Taking taylor expansion of 0 in y 3.290 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.290 * [taylor]: Taking taylor expansion of +nan.0 in y 3.301 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 3.301 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 3.301 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.301 * [taylor]: Taking taylor expansion of +nan.0 in y 3.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.301 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.302 * [taylor]: Taking taylor expansion of +nan.0 in y 3.312 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 3.312 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 3.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.312 * [taylor]: Taking taylor expansion of +nan.0 in y 3.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.312 * [taylor]: Taking taylor expansion of y in y 3.312 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 3.312 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 3.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 3.312 * [taylor]: Taking taylor expansion of +nan.0 in y 3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.312 * [taylor]: Taking taylor expansion of y in y 3.313 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.313 * [taylor]: Taking taylor expansion of +nan.0 in y 3.317 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 3.317 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) (- (/ 1 y) (/ 1 x))) in y 3.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) in y 3.318 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in y 3.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.318 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.318 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.318 * [taylor]: Taking taylor expansion of -1 in y 3.318 * [taylor]: Taking taylor expansion of x in y 3.318 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.318 * [taylor]: Taking taylor expansion of -1 in y 3.318 * [taylor]: Taking taylor expansion of x in y 3.318 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.318 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.318 * [taylor]: Taking taylor expansion of -1 in y 3.318 * [taylor]: Taking taylor expansion of y in y 3.318 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.318 * [taylor]: Taking taylor expansion of -1 in y 3.318 * [taylor]: Taking taylor expansion of y in y 3.323 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.323 * [taylor]: Taking taylor expansion of y in y 3.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.323 * [taylor]: Taking taylor expansion of x in y 3.324 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) (- (/ 1 y) (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 3.324 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.324 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.324 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.324 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.324 * [taylor]: Taking taylor expansion of -1 in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.324 * [taylor]: Taking taylor expansion of -1 in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.325 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.325 * [taylor]: Taking taylor expansion of -1 in x 3.325 * [taylor]: Taking taylor expansion of y in x 3.325 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.325 * [taylor]: Taking taylor expansion of -1 in x 3.325 * [taylor]: Taking taylor expansion of y in x 3.329 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.329 * [taylor]: Taking taylor expansion of y in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) (- (/ 1 y) (/ 1 x))) in x 3.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot (/ -1 x) (/ -1 y)))) in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 3.329 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.330 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.330 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.330 * [taylor]: Taking taylor expansion of -1 in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.330 * [taylor]: Taking taylor expansion of -1 in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.330 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.330 * [taylor]: Taking taylor expansion of -1 in x 3.330 * [taylor]: Taking taylor expansion of y in x 3.331 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.331 * [taylor]: Taking taylor expansion of -1 in x 3.331 * [taylor]: Taking taylor expansion of y in x 3.335 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.335 * [taylor]: Taking taylor expansion of y in x 3.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.335 * [taylor]: Taking taylor expansion of x in x 3.336 * [taylor]: Taking taylor expansion of 0 in y 3.337 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.337 * [taylor]: Taking taylor expansion of +nan.0 in y 3.341 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 3.342 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 3.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.342 * [taylor]: Taking taylor expansion of +nan.0 in y 3.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.342 * [taylor]: Taking taylor expansion of y in y 3.342 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.342 * [taylor]: Taking taylor expansion of +nan.0 in y 3.351 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 3.351 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 3.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.351 * [taylor]: Taking taylor expansion of +nan.0 in y 3.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.351 * [taylor]: Taking taylor expansion of y in y 3.351 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 3.351 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 3.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 3.351 * [taylor]: Taking taylor expansion of +nan.0 in y 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.351 * [taylor]: Taking taylor expansion of y in y 3.352 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.352 * [taylor]: Taking taylor expansion of +nan.0 in y 3.356 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.357 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 3.357 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 3.357 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 3.357 * [taylor]: Taking taylor expansion of (+ x y) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [taylor]: Taking taylor expansion of y in y 3.357 * [taylor]: Taking taylor expansion of (- x y) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [taylor]: Taking taylor expansion of y in y 3.357 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 3.357 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.357 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.357 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.357 * [taylor]: Taking taylor expansion of (* x x) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [taylor]: Taking taylor expansion of (* y y) in y 3.357 * [taylor]: Taking taylor expansion of y in y 3.357 * [taylor]: Taking taylor expansion of y in y 3.359 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 3.359 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.359 * [taylor]: Taking taylor expansion of (+ x y) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of y in x 3.359 * [taylor]: Taking taylor expansion of (- x y) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of y in x 3.359 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 3.359 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.359 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.359 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.359 * [taylor]: Taking taylor expansion of (* x x) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of (* y y) in x 3.359 * [taylor]: Taking taylor expansion of y in x 3.359 * [taylor]: Taking taylor expansion of y in x 3.361 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 3.361 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.361 * [taylor]: Taking taylor expansion of (+ x y) in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [taylor]: Taking taylor expansion of y in x 3.361 * [taylor]: Taking taylor expansion of (- x y) in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [taylor]: Taking taylor expansion of y in x 3.361 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 3.361 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.361 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.361 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.361 * [taylor]: Taking taylor expansion of (* x x) in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [taylor]: Taking taylor expansion of (* y y) in x 3.361 * [taylor]: Taking taylor expansion of y in x 3.361 * [taylor]: Taking taylor expansion of y in x 3.362 * [taylor]: Taking taylor expansion of -1 in y 3.363 * [taylor]: Taking taylor expansion of 0 in y 3.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.368 * [taylor]: Taking taylor expansion of 2 in y 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.368 * [taylor]: Taking taylor expansion of y in y 3.374 * [taylor]: Taking taylor expansion of 0 in y 3.375 * [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 3.375 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 3.375 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 3.375 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.375 * [taylor]: Taking taylor expansion of x in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.375 * [taylor]: Taking taylor expansion of y in y 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.375 * [taylor]: Taking taylor expansion of y in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.375 * [taylor]: Taking taylor expansion of x in y 3.376 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 3.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.376 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.376 * [taylor]: Taking taylor expansion of x in y 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.376 * [taylor]: Taking taylor expansion of x in y 3.376 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.376 * [taylor]: Taking taylor expansion of y in y 3.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.376 * [taylor]: Taking taylor expansion of y in y 3.381 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 3.381 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.381 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.381 * [taylor]: Taking taylor expansion of x in x 3.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.381 * [taylor]: Taking taylor expansion of y in x 3.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.381 * [taylor]: Taking taylor expansion of y in x 3.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.381 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 3.382 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.382 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.383 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.383 * [taylor]: Taking taylor expansion of y in x 3.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.383 * [taylor]: Taking taylor expansion of y in x 3.392 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 3.392 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.392 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.392 * [taylor]: Taking taylor expansion of y in x 3.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.392 * [taylor]: Taking taylor expansion of y in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 3.393 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.393 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.393 * [taylor]: Taking taylor expansion of y in x 3.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.394 * [taylor]: Taking taylor expansion of y in x 3.398 * [taylor]: Taking taylor expansion of 1 in y 3.400 * [taylor]: Taking taylor expansion of 0 in y 3.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.406 * [taylor]: Taking taylor expansion of 2 in y 3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.406 * [taylor]: Taking taylor expansion of y in y 3.417 * [taylor]: Taking taylor expansion of 0 in y 3.417 * [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 3.417 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 3.417 * [taylor]: Taking taylor expansion of -1 in y 3.417 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 3.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.417 * [taylor]: Taking taylor expansion of y in y 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.418 * [taylor]: Taking taylor expansion of x in y 3.418 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.418 * [taylor]: Taking taylor expansion of y in y 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.418 * [taylor]: Taking taylor expansion of x in y 3.418 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 3.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.418 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.418 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.418 * [taylor]: Taking taylor expansion of -1 in y 3.418 * [taylor]: Taking taylor expansion of x in y 3.418 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.418 * [taylor]: Taking taylor expansion of -1 in y 3.418 * [taylor]: Taking taylor expansion of x in y 3.419 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.419 * [taylor]: Taking taylor expansion of -1 in y 3.419 * [taylor]: Taking taylor expansion of y in y 3.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.419 * [taylor]: Taking taylor expansion of -1 in y 3.419 * [taylor]: Taking taylor expansion of y in y 3.423 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 3.423 * [taylor]: Taking taylor expansion of -1 in x 3.423 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 3.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 3.424 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 3.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.425 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.425 * [taylor]: Taking taylor expansion of -1 in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.425 * [taylor]: Taking taylor expansion of -1 in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.425 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.425 * [taylor]: Taking taylor expansion of -1 in x 3.425 * [taylor]: Taking taylor expansion of y in x 3.426 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.426 * [taylor]: Taking taylor expansion of -1 in x 3.426 * [taylor]: Taking taylor expansion of y in x 3.430 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 3.430 * [taylor]: Taking taylor expansion of -1 in x 3.431 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 3.431 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 3.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.431 * [taylor]: Taking taylor expansion of y in x 3.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.431 * [taylor]: Taking taylor expansion of x in x 3.431 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.431 * [taylor]: Taking taylor expansion of y in x 3.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.431 * [taylor]: Taking taylor expansion of x in x 3.432 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 3.432 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.432 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.432 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.432 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.432 * [taylor]: Taking taylor expansion of -1 in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.432 * [taylor]: Taking taylor expansion of -1 in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.433 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.433 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [taylor]: Taking taylor expansion of y in x 3.433 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [taylor]: Taking taylor expansion of y in x 3.438 * [taylor]: Taking taylor expansion of 1 in y 3.440 * [taylor]: Taking taylor expansion of 0 in y 3.447 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.447 * [taylor]: Taking taylor expansion of 2 in y 3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.447 * [taylor]: Taking taylor expansion of y in y 3.459 * [taylor]: Taking taylor expansion of 0 in y 3.459 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.459 * [approximate]: Taking taylor expansion of (* (sqrt (pow (hypot x y) 3)) (/ 1 (+ x y))) in (x y) around 0 3.459 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot x y) 3)) (/ 1 (+ x y))) in y 3.459 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot x y) 3)) in y 3.459 * [taylor]: Taking taylor expansion of (pow (hypot x y) 3) in y 3.459 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.459 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.459 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.459 * [taylor]: Taking taylor expansion of (* x x) in y 3.459 * [taylor]: Taking taylor expansion of x in y 3.459 * [taylor]: Taking taylor expansion of x in y 3.459 * [taylor]: Taking taylor expansion of (* y y) in y 3.459 * [taylor]: Taking taylor expansion of y in y 3.459 * [taylor]: Taking taylor expansion of y in y 3.461 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.461 * [taylor]: Taking taylor expansion of (+ x y) in y 3.461 * [taylor]: Taking taylor expansion of x in y 3.461 * [taylor]: Taking taylor expansion of y in y 3.461 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot x y) 3)) (/ 1 (+ x y))) in x 3.461 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot x y) 3)) in x 3.461 * [taylor]: Taking taylor expansion of (pow (hypot x y) 3) in x 3.461 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.461 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.461 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.461 * [taylor]: Taking taylor expansion of (* x x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [taylor]: Taking taylor expansion of (* y y) in x 3.461 * [taylor]: Taking taylor expansion of y in x 3.461 * [taylor]: Taking taylor expansion of y in x 3.463 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.463 * [taylor]: Taking taylor expansion of (+ x y) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [taylor]: Taking taylor expansion of y in x 3.463 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot x y) 3)) (/ 1 (+ x y))) in x 3.463 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot x y) 3)) in x 3.463 * [taylor]: Taking taylor expansion of (pow (hypot x y) 3) in x 3.463 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.463 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.463 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.463 * [taylor]: Taking taylor expansion of (* x x) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [taylor]: Taking taylor expansion of (* y y) in x 3.463 * [taylor]: Taking taylor expansion of y in x 3.463 * [taylor]: Taking taylor expansion of y in x 3.465 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.465 * [taylor]: Taking taylor expansion of (+ x y) in x 3.465 * [taylor]: Taking taylor expansion of x in x 3.465 * [taylor]: Taking taylor expansion of y in x 3.465 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.465 * [taylor]: Taking taylor expansion of y in y 3.467 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 y))) in y 3.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.467 * [taylor]: Taking taylor expansion of y in y 3.478 * [taylor]: Taking taylor expansion of (* 7/4 (sqrt (/ 1 (pow y 3)))) in y 3.478 * [taylor]: Taking taylor expansion of 7/4 in y 3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.478 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.478 * [taylor]: Taking taylor expansion of y in y 3.486 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 y) (/ 1 x))) (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3))) in (x y) around 0 3.486 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 y) (/ 1 x))) (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3))) in y 3.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.486 * [taylor]: Taking taylor expansion of y in y 3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.486 * [taylor]: Taking taylor expansion of x in y 3.487 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3)) in y 3.487 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 3) in y 3.487 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.487 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.487 * [taylor]: Taking taylor expansion of y in y 3.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.487 * [taylor]: Taking taylor expansion of y in y 3.492 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 y) (/ 1 x))) (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3))) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.492 * [taylor]: Taking taylor expansion of y in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.493 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3)) in x 3.493 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 3) in x 3.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.494 * [taylor]: Taking taylor expansion of x in x 3.494 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.494 * [taylor]: Taking taylor expansion of y in x 3.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.494 * [taylor]: Taking taylor expansion of y in x 3.499 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 y) (/ 1 x))) (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3))) in x 3.499 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.499 * [taylor]: Taking taylor expansion of y in x 3.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.500 * [taylor]: Taking taylor expansion of x in x 3.500 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ 1 x) (/ 1 y)) 3)) in x 3.500 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 3) in x 3.500 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.501 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.501 * [taylor]: Taking taylor expansion of y in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.501 * [taylor]: Taking taylor expansion of y in x 3.506 * [taylor]: Taking taylor expansion of 0 in y 3.507 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.507 * [taylor]: Taking taylor expansion of +nan.0 in y 3.512 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 3.512 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 3.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.512 * [taylor]: Taking taylor expansion of +nan.0 in y 3.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.512 * [taylor]: Taking taylor expansion of y in y 3.512 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.512 * [taylor]: Taking taylor expansion of +nan.0 in y 3.521 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 3.521 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 3.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.522 * [taylor]: Taking taylor expansion of +nan.0 in y 3.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.522 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 3.522 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 3.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 3.522 * [taylor]: Taking taylor expansion of +nan.0 in y 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.523 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.523 * [taylor]: Taking taylor expansion of +nan.0 in y 3.527 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 3.527 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x))))) in y 3.527 * [taylor]: Taking taylor expansion of -1 in y 3.527 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in y 3.527 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) in y 3.527 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 3) in y 3.527 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.527 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.527 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.527 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.528 * [taylor]: Taking taylor expansion of -1 in y 3.528 * [taylor]: Taking taylor expansion of x in y 3.528 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.528 * [taylor]: Taking taylor expansion of -1 in y 3.528 * [taylor]: Taking taylor expansion of x in y 3.528 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.528 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.528 * [taylor]: Taking taylor expansion of -1 in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.528 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.528 * [taylor]: Taking taylor expansion of -1 in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.533 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.534 * [taylor]: Taking taylor expansion of y in y 3.534 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.534 * [taylor]: Taking taylor expansion of x in y 3.535 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x))))) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 3.535 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) in x 3.535 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 3) in x 3.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.535 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.536 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.536 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.536 * [taylor]: Taking taylor expansion of -1 in x 3.536 * [taylor]: Taking taylor expansion of y in x 3.536 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.536 * [taylor]: Taking taylor expansion of -1 in x 3.536 * [taylor]: Taking taylor expansion of y in x 3.540 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.541 * [taylor]: Taking taylor expansion of y in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.541 * [taylor]: Taking taylor expansion of x in x 3.541 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x))))) in x 3.541 * [taylor]: Taking taylor expansion of -1 in x 3.541 * [taylor]: Taking taylor expansion of (* (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 3.542 * [taylor]: Taking taylor expansion of (sqrt (pow (hypot (/ -1 x) (/ -1 y)) 3)) in x 3.542 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 3) in x 3.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.542 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.542 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.542 * [taylor]: Taking taylor expansion of -1 in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.542 * [taylor]: Taking taylor expansion of -1 in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.542 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.543 * [taylor]: Taking taylor expansion of -1 in x 3.543 * [taylor]: Taking taylor expansion of y in x 3.543 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.543 * [taylor]: Taking taylor expansion of -1 in x 3.543 * [taylor]: Taking taylor expansion of y in x 3.547 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.547 * [taylor]: Taking taylor expansion of y in x 3.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.549 * [taylor]: Taking taylor expansion of 0 in y 3.551 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.551 * [taylor]: Taking taylor expansion of +nan.0 in y 3.556 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 3.557 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 3.557 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.557 * [taylor]: Taking taylor expansion of +nan.0 in y 3.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.557 * [taylor]: Taking taylor expansion of y in y 3.557 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.557 * [taylor]: Taking taylor expansion of +nan.0 in y 3.575 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 3.575 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 3.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.575 * [taylor]: Taking taylor expansion of +nan.0 in y 3.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.575 * [taylor]: Taking taylor expansion of y in y 3.575 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 3.575 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 3.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 3.575 * [taylor]: Taking taylor expansion of +nan.0 in y 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.575 * [taylor]: Taking taylor expansion of y in y 3.576 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.576 * [taylor]: Taking taylor expansion of +nan.0 in y 3.580 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.580 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 3.580 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 3.580 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.580 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.580 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.580 * [taylor]: Taking taylor expansion of (* x x) in y 3.580 * [taylor]: Taking taylor expansion of x in y 3.580 * [taylor]: Taking taylor expansion of x in y 3.580 * [taylor]: Taking taylor expansion of (* y y) in y 3.580 * [taylor]: Taking taylor expansion of y in y 3.581 * [taylor]: Taking taylor expansion of y in y 3.582 * [taylor]: Taking taylor expansion of (+ x y) in y 3.582 * [taylor]: Taking taylor expansion of x in y 3.582 * [taylor]: Taking taylor expansion of y in y 3.582 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 3.582 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.582 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.582 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.582 * [taylor]: Taking taylor expansion of (* x x) in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.582 * [taylor]: Taking taylor expansion of (* y y) in x 3.582 * [taylor]: Taking taylor expansion of y in x 3.582 * [taylor]: Taking taylor expansion of y in x 3.583 * [taylor]: Taking taylor expansion of (+ x y) in x 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [taylor]: Taking taylor expansion of y in x 3.583 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 3.583 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.583 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.583 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.584 * [taylor]: Taking taylor expansion of (* x x) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [taylor]: Taking taylor expansion of (* y y) in x 3.584 * [taylor]: Taking taylor expansion of y in x 3.584 * [taylor]: Taking taylor expansion of y in x 3.585 * [taylor]: Taking taylor expansion of (+ x y) in x 3.585 * [taylor]: Taking taylor expansion of x in x 3.585 * [taylor]: Taking taylor expansion of y in x 3.585 * [taylor]: Taking taylor expansion of 1 in y 3.586 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.586 * [taylor]: Taking taylor expansion of y in y 3.589 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 3.589 * [taylor]: Taking taylor expansion of 3/2 in y 3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.589 * [taylor]: Taking taylor expansion of y in y 3.595 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 3.595 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 3.595 * [taylor]: Taking taylor expansion of 3/2 in y 3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.595 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.595 * [taylor]: Taking taylor expansion of y in y 3.601 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 3.601 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 3.601 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.601 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.601 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.601 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.601 * [taylor]: Taking taylor expansion of x in y 3.601 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.601 * [taylor]: Taking taylor expansion of x in y 3.601 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.601 * [taylor]: Taking taylor expansion of y in y 3.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.602 * [taylor]: Taking taylor expansion of y in y 3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.605 * [taylor]: Taking taylor expansion of y in y 3.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.605 * [taylor]: Taking taylor expansion of x in y 3.606 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.606 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.606 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.606 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.607 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.607 * [taylor]: Taking taylor expansion of y in x 3.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.607 * [taylor]: Taking taylor expansion of y in x 3.610 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.610 * [taylor]: Taking taylor expansion of y in x 3.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.611 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.611 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.611 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.611 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.611 * [taylor]: Taking taylor expansion of x in x 3.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.611 * [taylor]: Taking taylor expansion of x in x 3.612 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.612 * [taylor]: Taking taylor expansion of y in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.612 * [taylor]: Taking taylor expansion of y in x 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.615 * [taylor]: Taking taylor expansion of y in x 3.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.615 * [taylor]: Taking taylor expansion of x in x 3.616 * [taylor]: Taking taylor expansion of 1 in y 3.616 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.617 * [taylor]: Taking taylor expansion of y in y 3.622 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 3.622 * [taylor]: Taking taylor expansion of 3/2 in y 3.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.622 * [taylor]: Taking taylor expansion of y in y 3.631 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 3.631 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 3.631 * [taylor]: Taking taylor expansion of 3/2 in y 3.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.631 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.631 * [taylor]: Taking taylor expansion of y in y 3.637 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.637 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 3.637 * [taylor]: Taking taylor expansion of -1 in y 3.637 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 3.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.638 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.638 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.638 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.638 * [taylor]: Taking taylor expansion of -1 in y 3.638 * [taylor]: Taking taylor expansion of x in y 3.638 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.638 * [taylor]: Taking taylor expansion of -1 in y 3.638 * [taylor]: Taking taylor expansion of x in y 3.638 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.638 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.638 * [taylor]: Taking taylor expansion of -1 in y 3.638 * [taylor]: Taking taylor expansion of y in y 3.638 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.638 * [taylor]: Taking taylor expansion of -1 in y 3.638 * [taylor]: Taking taylor expansion of y in y 3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.641 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.641 * [taylor]: Taking taylor expansion of y in y 3.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.642 * [taylor]: Taking taylor expansion of x in y 3.642 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 3.642 * [taylor]: Taking taylor expansion of -1 in x 3.642 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.643 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.643 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.643 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.643 * [taylor]: Taking taylor expansion of -1 in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.643 * [taylor]: Taking taylor expansion of -1 in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.643 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.643 * [taylor]: Taking taylor expansion of -1 in x 3.643 * [taylor]: Taking taylor expansion of y in x 3.644 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.644 * [taylor]: Taking taylor expansion of -1 in x 3.644 * [taylor]: Taking taylor expansion of y in x 3.651 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.651 * [taylor]: Taking taylor expansion of y in x 3.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 3.652 * [taylor]: Taking taylor expansion of -1 in x 3.652 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.652 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.653 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.653 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.653 * [taylor]: Taking taylor expansion of -1 in x 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.653 * [taylor]: Taking taylor expansion of -1 in x 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.653 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.653 * [taylor]: Taking taylor expansion of -1 in x 3.653 * [taylor]: Taking taylor expansion of y in x 3.654 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.654 * [taylor]: Taking taylor expansion of -1 in x 3.654 * [taylor]: Taking taylor expansion of y in x 3.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.657 * [taylor]: Taking taylor expansion of y in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of -1 in y 3.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.659 * [taylor]: Taking taylor expansion of y in y 3.664 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 3.665 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 3.665 * [taylor]: Taking taylor expansion of 3/2 in y 3.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.665 * [taylor]: Taking taylor expansion of y in y 3.674 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 3.674 * [taylor]: Taking taylor expansion of 3/2 in y 3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.674 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.674 * [taylor]: Taking taylor expansion of y in y 3.680 * * * [progress]: simplifying candidates 3.717 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (sqrt (hypot x y)))) (log1p (/ (- x y) (sqrt (hypot x y)))) (- (log (- x y)) (log (sqrt (hypot x y)))) (log (/ (- x y) (sqrt (hypot x y)))) (exp (/ (- x y) (sqrt (hypot x y)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))) (* (cbrt (/ (- x y) (sqrt (hypot x y)))) (cbrt (/ (- x y) (sqrt (hypot x y))))) (cbrt (/ (- x y) (sqrt (hypot x y)))) (* (* (/ (- x y) (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y)))) (sqrt (/ (- x y) (sqrt (hypot x y)))) (sqrt (/ (- x y) (sqrt (hypot x y)))) (- (- x y)) (- (sqrt (hypot x y))) (/ x (sqrt (hypot x y))) (/ y (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (/ (cbrt (- x y)) (cbrt (sqrt (hypot x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (/ (cbrt (- x y)) (sqrt (cbrt (hypot x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (sqrt (hypot x y)))) (/ (cbrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt 1)) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (sqrt (hypot x y)))) (/ (cbrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (/ (sqrt (- x y)) (cbrt (sqrt (hypot x y)))) (/ (sqrt (- x y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (/ (sqrt (- x y)) (sqrt (cbrt (hypot x y)))) (/ (sqrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (sqrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (sqrt (- x y)) (sqrt 1)) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (sqrt (- x y)) (sqrt (sqrt (hypot x y)))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ 1 (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (/ (- x y) (cbrt (sqrt (hypot x y)))) (/ 1 (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (/ (- x y) (sqrt (cbrt (hypot x y)))) (/ 1 (sqrt (sqrt (hypot x y)))) (/ (- x y) (sqrt (sqrt (hypot x y)))) (/ 1 (sqrt 1)) (/ (- x y) (sqrt (hypot x y))) (/ 1 (sqrt (sqrt (hypot x y)))) (/ (- x y) (sqrt (sqrt (hypot x y)))) (/ 1 1) (/ (- x y) (sqrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (hypot x y)))) (/ (+ (sqrt x) (sqrt y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x 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(+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 1 1 -1 4.027 * * * [progress]: adding candidates to table 6.231 * [progress]: [Phase 3 of 3] Extracting. 6.231 * * [regime]: Finding splitpoints for: (# # #) 6.232 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.232 * * * * [regimes]: Trying to branch on y from (# # #) 6.248 * * * * [regimes]: Trying to branch on x from (# # #) 6.266 * * * [regime]: Found split indices: #