16.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.029 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.031 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.035 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.037 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.040 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.045 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.048 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.054 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.082 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.308 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.309 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.312 * * [progress]: iteration 1 / 4 0.312 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.320 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.320 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.320 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.321 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 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) in y 0.321 * [taylor]: Taking taylor expansion of x in y 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 0 in x 0.322 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.326 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.326 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.327 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of 3 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y 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 0.328 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.328 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of 3 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.339 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.339 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.339 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of 3 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.339 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.339 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.340 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of 3 in x 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.351 * * * [progress]: simplifying candidates 0.351 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.354 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.355 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.357 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.363 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.401 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.402 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.402 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 2 / 4 0.427 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.558 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.589 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.598 * * * [progress]: generating series expansions 0.598 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.599 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of 3 in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of 3 in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.607 * [taylor]: Taking taylor expansion of 3 in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.608 * [taylor]: Taking taylor expansion of 3 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.609 * [taylor]: Taking taylor expansion of 3 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.611 * [taylor]: Taking taylor expansion of 3 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.619 * [taylor]: Taking taylor expansion of 3 in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of 3 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of 3 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of 1 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.623 * [taylor]: Taking taylor expansion of 3 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.630 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.630 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of 2 in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of 2 in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of 2 in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of 2 in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 1 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.638 * [taylor]: Taking taylor expansion of 2 in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of 2 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.640 * [taylor]: Taking taylor expansion of 2 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of 1 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of 2 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of 2 in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of 2 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.651 * [taylor]: Taking taylor expansion of 2 in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of 2 in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.661 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.661 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of 1 in y 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 1 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * * * [progress]: simplifying candidates 0.689 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.693 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.699 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.719 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.818 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.820 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* 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) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.820 * * * [progress]: adding candidates to table 0.932 * * [progress]: iteration 3 / 4 0.932 * * * [progress]: picking best candidate 0.943 * * * * [pick]: Picked # 0.943 * * * [progress]: localizing error 0.951 * * * [progress]: generating rewritten candidates 0.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.016 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.016 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.048 * * * [progress]: generating series expansions 1.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.048 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of 2 in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of 2 in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of 2 in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.051 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.051 * [taylor]: Taking taylor expansion of 2 in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.055 * [taylor]: Taking taylor expansion of 1/2 in y 1.055 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.055 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.055 * [taylor]: Taking taylor expansion of 2 in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.062 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.065 * [taylor]: Taking taylor expansion of 2 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.068 * [taylor]: Taking taylor expansion of 2 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.071 * [taylor]: Taking taylor expansion of 2 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of 1 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of 2 in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.086 * [taylor]: Taking taylor expansion of 2 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.088 * [taylor]: Taking taylor expansion of 2 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of 1 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.096 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.096 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of 2 in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of 2 in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of 2 in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.099 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.099 * [taylor]: Taking taylor expansion of 2 in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.103 * [taylor]: Taking taylor expansion of 1/2 in y 1.103 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.103 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.103 * [taylor]: Taking taylor expansion of 2 in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.113 * [taylor]: Taking taylor expansion of 2 in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.116 * [taylor]: Taking taylor expansion of 2 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of 2 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of 1 in y 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of 2 in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of 2 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.134 * [taylor]: Taking taylor expansion of 2 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.135 * [taylor]: Taking taylor expansion of 1 in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.141 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.142 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 1.142 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 1.142 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.142 * [taylor]: Taking taylor expansion of x in y 1.142 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of 2 in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.143 * [taylor]: Taking taylor expansion of x in y 1.143 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.143 * [taylor]: Taking taylor expansion of 2 in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.143 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.143 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of 2 in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of 2 in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.146 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.146 * [taylor]: Taking taylor expansion of 2 in x 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.149 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.149 * [taylor]: Taking taylor expansion of 2 in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [taylor]: Taking taylor expansion of 1 in y 1.164 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.183 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.183 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.184 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.184 * [taylor]: Taking taylor expansion of x in y 1.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.184 * [taylor]: Taking taylor expansion of 2 in y 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of 2 in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.190 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.190 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.191 * [taylor]: Taking taylor expansion of 2 in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.193 * [taylor]: Taking taylor expansion of 2 in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.195 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.195 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.196 * [taylor]: Taking taylor expansion of 2 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.198 * [taylor]: Taking taylor expansion of 2 in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of 1 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.222 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.222 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.222 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.222 * [taylor]: Taking taylor expansion of x in y 1.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.222 * [taylor]: Taking taylor expansion of 2 in y 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.225 * [taylor]: Taking taylor expansion of 2 in y 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.229 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.229 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.229 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.229 * [taylor]: Taking taylor expansion of 2 in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.229 * [taylor]: Taking taylor expansion of y in x 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.232 * [taylor]: Taking taylor expansion of 2 in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.234 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.234 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.235 * [taylor]: Taking taylor expansion of 2 in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.237 * [taylor]: Taking taylor expansion of 2 in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.237 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.240 * [taylor]: Taking taylor expansion of 1 in y 1.241 * [taylor]: Taking taylor expansion of 0 in y 1.245 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.245 * [taylor]: Taking taylor expansion of 3 in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.261 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.261 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of 2 in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.261 * [taylor]: Taking taylor expansion of 2 in x 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.261 * [taylor]: Taking taylor expansion of y in x 1.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.261 * [taylor]: Taking taylor expansion of 2 in x 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.261 * [taylor]: Taking taylor expansion of y in x 1.262 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.262 * [taylor]: Taking taylor expansion of 2 in y 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [taylor]: Taking taylor expansion of 1 in y 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.275 * [taylor]: Taking taylor expansion of x in y 1.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.275 * [taylor]: Taking taylor expansion of 2 in y 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.276 * [taylor]: Taking taylor expansion of 2 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.276 * [taylor]: Taking taylor expansion of y in x 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of 2 in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [taylor]: Taking taylor expansion of 1 in y 1.278 * [taylor]: Taking taylor expansion of 0 in y 1.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.279 * [taylor]: Taking taylor expansion of 2 in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.279 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.287 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.287 * [taylor]: Taking taylor expansion of 2 in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.288 * [taylor]: Taking taylor expansion of 2 in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.289 * [taylor]: Taking taylor expansion of 2 in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.289 * [taylor]: Taking taylor expansion of 1 in y 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.291 * [taylor]: Taking taylor expansion of 2 in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.294 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.299 * * * [progress]: simplifying candidates 1.300 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.305 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.310 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.324 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.387 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.390 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.390 * * * [progress]: adding candidates to table 1.596 * * [progress]: iteration 4 / 4 1.596 * * * [progress]: picking best candidate 1.608 * * * * [pick]: Picked # 1.608 * * * [progress]: localizing error 1.616 * * * [progress]: generating rewritten candidates 1.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.635 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.648 * * * [progress]: generating series expansions 1.648 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.648 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.649 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.649 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.649 * [taylor]: Taking taylor expansion of 2 in y 1.649 * [taylor]: Taking taylor expansion of y in y 1.649 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.649 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.649 * [taylor]: Taking taylor expansion of 2 in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.660 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.660 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.660 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.660 * [taylor]: Taking taylor expansion of 2 in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.662 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.662 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.662 * [taylor]: Taking taylor expansion of 2 in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.670 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.670 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.670 * [taylor]: Taking taylor expansion of -1 in y 1.670 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.670 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.670 * [taylor]: Taking taylor expansion of 2 in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.671 * [taylor]: Taking taylor expansion of -1 in y 1.671 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.672 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.672 * [taylor]: Taking taylor expansion of 2 in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.685 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.685 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.685 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.685 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.685 * [taylor]: Taking taylor expansion of 2 in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.686 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.686 * [taylor]: Taking taylor expansion of 2 in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.696 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.697 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.697 * [taylor]: Taking taylor expansion of 2 in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.698 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.698 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.698 * [taylor]: Taking taylor expansion of 2 in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.706 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.706 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.706 * [taylor]: Taking taylor expansion of -1 in y 1.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.707 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.707 * [taylor]: Taking taylor expansion of 2 in y 1.707 * [taylor]: Taking taylor expansion of y in y 1.708 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.708 * [taylor]: Taking taylor expansion of -1 in y 1.708 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.708 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.708 * [taylor]: Taking taylor expansion of 2 in y 1.708 * [taylor]: Taking taylor expansion of y in y 1.728 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.729 * [approximate]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in (y x) around 0 1.729 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in x 1.729 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in x 1.729 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.729 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in x 1.729 * [taylor]: Taking taylor expansion of (* y y) in x 1.729 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of y in x 1.729 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in x 1.729 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.729 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.729 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.729 * [taylor]: Taking taylor expansion of (* x x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.730 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.730 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.730 * [taylor]: Taking taylor expansion of 2 in x 1.730 * [taylor]: Taking taylor expansion of y in x 1.730 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.730 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.730 * [taylor]: Taking taylor expansion of 2 in x 1.731 * [taylor]: Taking taylor expansion of y in x 1.735 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.735 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.735 * [taylor]: Taking taylor expansion of (* x x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.735 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.735 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.735 * [taylor]: Taking taylor expansion of 2 in x 1.736 * [taylor]: Taking taylor expansion of y in x 1.736 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.736 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.736 * [taylor]: Taking taylor expansion of 2 in x 1.737 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in y 1.744 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 1.744 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.744 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 1.744 * [taylor]: Taking taylor expansion of (* y y) in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.744 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 1.744 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.745 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.745 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.745 * [taylor]: Taking taylor expansion of (* x x) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.745 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.745 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.745 * [taylor]: Taking taylor expansion of 2 in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.745 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.745 * [taylor]: Taking taylor expansion of 2 in y 1.746 * [taylor]: Taking taylor expansion of y in y 1.750 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.750 * [taylor]: Taking taylor expansion of (* x x) in y 1.750 * [taylor]: Taking taylor expansion of x in y 1.750 * [taylor]: Taking taylor expansion of x in y 1.750 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.750 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.750 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.750 * [taylor]: Taking taylor expansion of 2 in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.751 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.751 * [taylor]: Taking taylor expansion of 2 in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in y 1.756 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.756 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 1.756 * [taylor]: Taking taylor expansion of (* y y) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 1.756 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.756 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.756 * [taylor]: Taking taylor expansion of (* x x) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.757 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.757 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.757 * [taylor]: Taking taylor expansion of 2 in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.757 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.757 * [taylor]: Taking taylor expansion of 2 in y 1.758 * [taylor]: Taking taylor expansion of y in y 1.762 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.762 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.762 * [taylor]: Taking taylor expansion of (* x x) in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.762 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.762 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.762 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.762 * [taylor]: Taking taylor expansion of 2 in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.762 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.762 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.762 * [taylor]: Taking taylor expansion of 2 in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of 0 in x 1.787 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 1.788 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.788 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.788 * [taylor]: Taking taylor expansion of 2 in x 1.788 * [taylor]: Taking taylor expansion of 1 in x 1.804 * [taylor]: Taking taylor expansion of 0 in x 1.833 * [taylor]: Taking taylor expansion of 0 in x 1.835 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in (y x) around 0 1.835 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in x 1.835 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in x 1.835 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.835 * [taylor]: Taking taylor expansion of y in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.835 * [taylor]: Taking taylor expansion of y in x 1.835 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.835 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.835 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.836 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.836 * [taylor]: Taking taylor expansion of 2 in x 1.836 * [taylor]: Taking taylor expansion of y in x 1.837 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.837 * [taylor]: Taking taylor expansion of 2 in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.840 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.840 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.840 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.840 * [taylor]: Taking taylor expansion of 2 in x 1.841 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.841 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.841 * [taylor]: Taking taylor expansion of 2 in x 1.842 * [taylor]: Taking taylor expansion of y in x 1.846 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in y 1.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 1.846 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.847 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.847 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.847 * [taylor]: Taking taylor expansion of x in y 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.847 * [taylor]: Taking taylor expansion of x in y 1.847 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.847 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.847 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.847 * [taylor]: Taking taylor expansion of 2 in y 1.847 * [taylor]: Taking taylor expansion of y in y 1.848 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.848 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.848 * [taylor]: Taking taylor expansion of 2 in y 1.849 * [taylor]: Taking taylor expansion of y in y 1.854 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.854 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.854 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) 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 x) in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.854 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.854 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.854 * [taylor]: Taking taylor expansion of 2 in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.855 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.855 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.855 * [taylor]: Taking taylor expansion of 2 in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in y 1.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 1.866 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.866 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.866 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.867 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.867 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.867 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.867 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.867 * [taylor]: Taking taylor expansion of 2 in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.868 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.868 * [taylor]: Taking taylor expansion of 2 in y 1.868 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.873 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.873 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.873 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.873 * [taylor]: Taking taylor expansion of 2 in y 1.874 * [taylor]: Taking taylor expansion of y in y 1.875 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.875 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.875 * [taylor]: Taking taylor expansion of 2 in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.888 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 1.888 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.888 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.888 * [taylor]: Taking taylor expansion of 2 in x 1.889 * [taylor]: Taking taylor expansion of 1 in x 1.889 * [taylor]: Taking taylor expansion of 0 in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of 0 in x 1.967 * [taylor]: Taking taylor expansion of 0 in x 1.971 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in (y x) around 0 1.971 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in x 1.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 1.972 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in x 1.972 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.972 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.972 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.972 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.973 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.973 * [taylor]: Taking taylor expansion of -1 in x 1.973 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.973 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.973 * [taylor]: Taking taylor expansion of 2 in x 1.973 * [taylor]: Taking taylor expansion of y in x 1.974 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.974 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.974 * [taylor]: Taking taylor expansion of 2 in x 1.974 * [taylor]: Taking taylor expansion of y in x 1.977 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.977 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.977 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.977 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.978 * [taylor]: Taking taylor expansion of -1 in x 1.978 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.978 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.978 * [taylor]: Taking taylor expansion of 2 in x 1.978 * [taylor]: Taking taylor expansion of y in x 1.978 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.978 * [taylor]: Taking taylor expansion of -1 in x 1.978 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.978 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.978 * [taylor]: Taking taylor expansion of 2 in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.983 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in y 1.983 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.983 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 1.983 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 1.983 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.983 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.983 * [taylor]: Taking taylor expansion of -1 in y 1.983 * [taylor]: Taking taylor expansion of y in y 1.984 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.984 * [taylor]: Taking taylor expansion of -1 in y 1.984 * [taylor]: Taking taylor expansion of y in y 1.984 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.984 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.984 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.984 * [taylor]: Taking taylor expansion of -1 in y 1.984 * [taylor]: Taking taylor expansion of x in y 1.984 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.984 * [taylor]: Taking taylor expansion of -1 in y 1.984 * [taylor]: Taking taylor expansion of x in y 1.984 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.984 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.984 * [taylor]: Taking taylor expansion of -1 in y 1.984 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.984 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.984 * [taylor]: Taking taylor expansion of 2 in y 1.985 * [taylor]: Taking taylor expansion of y in y 1.985 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.985 * [taylor]: Taking taylor expansion of -1 in y 1.985 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.985 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.985 * [taylor]: Taking taylor expansion of 2 in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.000 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.000 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.000 * [taylor]: Taking taylor expansion of -1 in y 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.000 * [taylor]: Taking taylor expansion of -1 in y 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.000 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.000 * [taylor]: Taking taylor expansion of -1 in y 2.000 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.000 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.000 * [taylor]: Taking taylor expansion of 2 in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.001 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.001 * [taylor]: Taking taylor expansion of -1 in y 2.001 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.001 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.001 * [taylor]: Taking taylor expansion of 2 in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.015 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in y 2.015 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.015 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 2.015 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.015 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.015 * [taylor]: Taking taylor expansion of -1 in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.015 * [taylor]: Taking taylor expansion of -1 in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.015 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.016 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.016 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.016 * [taylor]: Taking taylor expansion of -1 in y 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.016 * [taylor]: Taking taylor expansion of -1 in y 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.016 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.016 * [taylor]: Taking taylor expansion of -1 in y 2.016 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.016 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.016 * [taylor]: Taking taylor expansion of 2 in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.017 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.017 * [taylor]: Taking taylor expansion of -1 in y 2.017 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.017 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.017 * [taylor]: Taking taylor expansion of 2 in y 2.018 * [taylor]: Taking taylor expansion of y in y 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.025 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.025 * [taylor]: Taking taylor expansion of -1 in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.026 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.026 * [taylor]: Taking taylor expansion of -1 in y 2.026 * [taylor]: Taking taylor expansion of x in y 2.026 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.026 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.026 * [taylor]: Taking taylor expansion of -1 in y 2.026 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.026 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.026 * [taylor]: Taking taylor expansion of 2 in y 2.026 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.027 * [taylor]: Taking taylor expansion of -1 in y 2.027 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.027 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.027 * [taylor]: Taking taylor expansion of 2 in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.043 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.043 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.043 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.043 * [taylor]: Taking taylor expansion of 2 in x 2.044 * [taylor]: Taking taylor expansion of 1 in x 2.044 * [taylor]: Taking taylor expansion of 0 in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of 0 in x 2.133 * [taylor]: Taking taylor expansion of 0 in x 2.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.137 * [approximate]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in (y x) around 0 2.137 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in x 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 2.137 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in x 2.137 * [taylor]: Taking taylor expansion of (* y y) in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in x 2.137 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.137 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 2.137 * [taylor]: Taking taylor expansion of (* x x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 2.137 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 2.137 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.137 * [taylor]: Taking taylor expansion of 2 in x 2.138 * [taylor]: Taking taylor expansion of y in x 2.138 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 2.138 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.138 * [taylor]: Taking taylor expansion of 2 in x 2.138 * [taylor]: Taking taylor expansion of y in x 2.143 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 2.143 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.143 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 2.143 * [taylor]: Taking taylor expansion of (* x x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 2.143 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 2.143 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.143 * [taylor]: Taking taylor expansion of 2 in x 2.144 * [taylor]: Taking taylor expansion of y in x 2.144 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 2.144 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.144 * [taylor]: Taking taylor expansion of 2 in x 2.144 * [taylor]: Taking taylor expansion of y in x 2.152 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 2.152 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 2.152 * [taylor]: Taking taylor expansion of (* y y) in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.152 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 2.152 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.152 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.152 * [taylor]: Taking taylor expansion of (* x x) in y 2.152 * [taylor]: Taking taylor expansion of x in y 2.152 * [taylor]: Taking taylor expansion of x in y 2.152 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.152 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.152 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.152 * [taylor]: Taking taylor expansion of 2 in y 2.153 * [taylor]: Taking taylor expansion of y in y 2.153 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.153 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.153 * [taylor]: Taking taylor expansion of 2 in y 2.153 * [taylor]: Taking taylor expansion of y in y 2.157 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.157 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.157 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.157 * [taylor]: Taking taylor expansion of (* x x) in y 2.157 * [taylor]: Taking taylor expansion of x in y 2.157 * [taylor]: Taking taylor expansion of x in y 2.157 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.158 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.158 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.158 * [taylor]: Taking taylor expansion of 2 in y 2.158 * [taylor]: Taking taylor expansion of y in y 2.158 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.158 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.158 * [taylor]: Taking taylor expansion of 2 in y 2.159 * [taylor]: Taking taylor expansion of y in y 2.170 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 2.170 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 2.170 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 2.170 * [taylor]: Taking taylor expansion of (* y y) in y 2.171 * [taylor]: Taking taylor expansion of y in y 2.171 * [taylor]: Taking taylor expansion of y in y 2.171 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 2.171 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.171 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.171 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.171 * [taylor]: Taking taylor expansion of (* x x) in y 2.171 * [taylor]: Taking taylor expansion of x in y 2.171 * [taylor]: Taking taylor expansion of x in y 2.171 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.171 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.171 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.171 * [taylor]: Taking taylor expansion of 2 in y 2.171 * [taylor]: Taking taylor expansion of y in y 2.171 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.172 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.172 * [taylor]: Taking taylor expansion of 2 in y 2.172 * [taylor]: Taking taylor expansion of y in y 2.176 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.176 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.176 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.176 * [taylor]: Taking taylor expansion of (* x x) in y 2.176 * [taylor]: Taking taylor expansion of x in y 2.176 * [taylor]: Taking taylor expansion of x in y 2.176 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.176 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.176 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.176 * [taylor]: Taking taylor expansion of 2 in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.177 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.177 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.177 * [taylor]: Taking taylor expansion of 2 in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of 0 in x 2.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (pow (sqrt 2) 2) 1) x)) in x 2.200 * [taylor]: Taking taylor expansion of 1/2 in x 2.200 * [taylor]: Taking taylor expansion of (/ (+ (pow (sqrt 2) 2) 1) x) in x 2.200 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.200 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.200 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.200 * [taylor]: Taking taylor expansion of 2 in x 2.201 * [taylor]: Taking taylor expansion of 1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of 0 in x 2.220 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in (y x) around 0 2.220 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 2.220 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.220 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in x 2.220 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 2.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 2.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 2.221 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 2.221 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.221 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.221 * [taylor]: Taking taylor expansion of 2 in x 2.222 * [taylor]: Taking taylor expansion of y in x 2.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.222 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.222 * [taylor]: Taking taylor expansion of 2 in x 2.223 * [taylor]: Taking taylor expansion of y in x 2.225 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 2.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 2.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 2.226 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.226 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.226 * [taylor]: Taking taylor expansion of 2 in x 2.226 * [taylor]: Taking taylor expansion of y in x 2.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.227 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.227 * [taylor]: Taking taylor expansion of 2 in x 2.227 * [taylor]: Taking taylor expansion of y in x 2.231 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.231 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 2.231 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.231 * [taylor]: Taking taylor expansion of y in y 2.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.232 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.232 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.232 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.232 * [taylor]: Taking taylor expansion of x in y 2.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.232 * [taylor]: Taking taylor expansion of x in y 2.232 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.232 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.232 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.232 * [taylor]: Taking taylor expansion of 2 in y 2.233 * [taylor]: Taking taylor expansion of y in y 2.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.233 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.233 * [taylor]: Taking taylor expansion of 2 in y 2.234 * [taylor]: Taking taylor expansion of y in y 2.239 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.239 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.239 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.239 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.239 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.239 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.239 * [taylor]: Taking taylor expansion of 2 in y 2.240 * [taylor]: Taking taylor expansion of y in y 2.240 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.240 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.240 * [taylor]: Taking taylor expansion of 2 in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 2.251 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.251 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.251 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.251 * [taylor]: Taking taylor expansion of x in y 2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.252 * [taylor]: Taking taylor expansion of x in y 2.252 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.252 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.252 * [taylor]: Taking taylor expansion of 2 in y 2.252 * [taylor]: Taking taylor expansion of y in y 2.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.253 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.253 * [taylor]: Taking taylor expansion of 2 in y 2.253 * [taylor]: Taking taylor expansion of y in y 2.264 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.265 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.265 * [taylor]: Taking taylor expansion of x in y 2.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.265 * [taylor]: Taking taylor expansion of x in y 2.265 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.265 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.265 * [taylor]: Taking taylor expansion of 2 in y 2.265 * [taylor]: Taking taylor expansion of y in y 2.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.266 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.266 * [taylor]: Taking taylor expansion of 2 in y 2.266 * [taylor]: Taking taylor expansion of y in y 2.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sqrt 2) 2) 1)) in x 2.277 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.277 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.277 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.277 * [taylor]: Taking taylor expansion of 2 in x 2.277 * [taylor]: Taking taylor expansion of 1 in x 2.281 * [taylor]: Taking taylor expansion of 0 in x 2.295 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))))) in x 2.295 * [taylor]: Taking taylor expansion of 1/2 in x 2.295 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1)))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))) in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sqrt 2) 2) 1)) in x 2.296 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.296 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.296 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.296 * [taylor]: Taking taylor expansion of 2 in x 2.296 * [taylor]: Taking taylor expansion of 1 in x 2.321 * [taylor]: Taking taylor expansion of 0 in x 2.331 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in (y x) around 0 2.331 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 2.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.331 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in x 2.331 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of y in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of y in x 2.331 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 2.331 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 2.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.331 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 2.331 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.331 * [taylor]: Taking taylor expansion of -1 in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 2.332 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.332 * [taylor]: Taking taylor expansion of -1 in x 2.332 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.332 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.332 * [taylor]: Taking taylor expansion of 2 in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.333 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.333 * [taylor]: Taking taylor expansion of -1 in x 2.333 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.333 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.333 * [taylor]: Taking taylor expansion of 2 in x 2.333 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 2.336 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.336 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 2.336 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 2.337 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.337 * [taylor]: Taking taylor expansion of -1 in x 2.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.337 * [taylor]: Taking taylor expansion of 2 in x 2.337 * [taylor]: Taking taylor expansion of y in x 2.337 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.337 * [taylor]: Taking taylor expansion of -1 in x 2.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.337 * [taylor]: Taking taylor expansion of 2 in x 2.338 * [taylor]: Taking taylor expansion of y in x 2.348 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 2.349 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.349 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.349 * [taylor]: Taking taylor expansion of -1 in y 2.349 * [taylor]: Taking taylor expansion of y in y 2.349 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.349 * [taylor]: Taking taylor expansion of -1 in y 2.349 * [taylor]: Taking taylor expansion of y in y 2.349 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.349 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.349 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.349 * [taylor]: Taking taylor expansion of -1 in y 2.350 * [taylor]: Taking taylor expansion of x in y 2.350 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.350 * [taylor]: Taking taylor expansion of -1 in y 2.350 * [taylor]: Taking taylor expansion of x in y 2.350 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.350 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.350 * [taylor]: Taking taylor expansion of -1 in y 2.350 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.350 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.350 * [taylor]: Taking taylor expansion of 2 in y 2.350 * [taylor]: Taking taylor expansion of y in y 2.351 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.351 * [taylor]: Taking taylor expansion of -1 in y 2.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.351 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.351 * [taylor]: Taking taylor expansion of 2 in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.359 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.359 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.359 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.359 * [taylor]: Taking taylor expansion of -1 in y 2.359 * [taylor]: Taking taylor expansion of x in y 2.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.359 * [taylor]: Taking taylor expansion of -1 in y 2.359 * [taylor]: Taking taylor expansion of x in y 2.359 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.359 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.359 * [taylor]: Taking taylor expansion of -1 in y 2.359 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.359 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.359 * [taylor]: Taking taylor expansion of 2 in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.361 * [taylor]: Taking taylor expansion of -1 in y 2.361 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.361 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.361 * [taylor]: Taking taylor expansion of 2 in y 2.361 * [taylor]: Taking taylor expansion of y in y 2.374 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 2.374 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.374 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.374 * [taylor]: Taking taylor expansion of -1 in y 2.374 * [taylor]: Taking taylor expansion of y in y 2.375 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.375 * [taylor]: Taking taylor expansion of -1 in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.375 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.375 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.375 * [taylor]: Taking taylor expansion of -1 in y 2.375 * [taylor]: Taking taylor expansion of x in y 2.375 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.375 * [taylor]: Taking taylor expansion of -1 in y 2.375 * [taylor]: Taking taylor expansion of x in y 2.375 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.375 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.375 * [taylor]: Taking taylor expansion of -1 in y 2.375 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.375 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.375 * [taylor]: Taking taylor expansion of 2 in y 2.376 * [taylor]: Taking taylor expansion of y in y 2.377 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.377 * [taylor]: Taking taylor expansion of -1 in y 2.377 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.377 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.377 * [taylor]: Taking taylor expansion of 2 in y 2.377 * [taylor]: Taking taylor expansion of y in y 2.385 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.385 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.385 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.385 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.385 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of x in y 2.385 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.385 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of x in y 2.385 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.385 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.385 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.385 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.385 * [taylor]: Taking taylor expansion of 2 in y 2.386 * [taylor]: Taking taylor expansion of y in y 2.386 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.386 * [taylor]: Taking taylor expansion of -1 in y 2.386 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.386 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.386 * [taylor]: Taking taylor expansion of 2 in y 2.387 * [taylor]: Taking taylor expansion of y in y 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sqrt 2) 2) 1)) in x 2.400 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.400 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.400 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.400 * [taylor]: Taking taylor expansion of 2 in x 2.401 * [taylor]: Taking taylor expansion of 1 in x 2.405 * [taylor]: Taking taylor expansion of 0 in x 2.422 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))))) in x 2.422 * [taylor]: Taking taylor expansion of 1/2 in x 2.422 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1)))) in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))) in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sqrt 2) 2) 1)) in x 2.422 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.422 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.422 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.422 * [taylor]: Taking taylor expansion of 2 in x 2.423 * [taylor]: Taking taylor expansion of 1 in x 2.459 * [taylor]: Taking taylor expansion of 0 in x 2.469 * * * [progress]: simplifying candidates 2.470 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (log1p (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (+ 1 1) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (+ 1 1) (+ (log (hypot y (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y))))) (log (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (exp (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y))))) (* (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* 1 1) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* 2 1) (* (hypot y (hypot x (* (sqrt 2) y))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))))) (* (hypot y (hypot x (* (sqrt 2) y))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (hypot y (hypot x (* (sqrt 2) y))) 1) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (expm1 (hypot y (hypot x (* (sqrt 2) y)))) (log1p (hypot y (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y)))) (exp (hypot y (hypot x (* (sqrt 2) y)))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) x (* y (sqrt (+ (pow (sqrt 2) 2) 1))) (* -1 (* y (sqrt (+ (pow (sqrt 2) 2) 1)))) 2.475 * * [simplify]: iteration 0 : 164 enodes (cost 571 ) 2.480 * * [simplify]: iteration 1 : 661 enodes (cost 479 ) 2.498 * * [simplify]: iteration 2 : 3791 enodes (cost 442 ) 2.624 * * [simplify]: iteration 3 : 5001 enodes (cost 436 ) 2.626 * [simplify]: Simplified to: (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (log1p (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) 2 (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) 2 (* 2 (log (hypot y (hypot x (* (sqrt 2) y))))) (* 2 (log (hypot y (hypot x (* (sqrt 2) y))))) (pow (exp 1) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4)) (pow (hypot y (hypot x (* (sqrt 2) y))) 6) (* (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (pow (hypot y (hypot x (* (sqrt 2) y))) 6) (* (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (fabs (hypot y (hypot x (* (sqrt 2) y)))) (fabs (hypot y (hypot x (* (sqrt 2) y)))) (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) 1 (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) 2 (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 5) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 3) (hypot y (hypot x (* (sqrt 2) y))) (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 3) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (expm1 (hypot y (hypot x (* (sqrt 2) y)))) (log1p (hypot y (hypot x (* (sqrt 2) y)))) (fma y y (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y)))) (exp (hypot y (hypot x (* (sqrt 2) y)))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (pow (hypot y (hypot x (* (sqrt 2) y))) 3) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) x (* y (hypot 1 (sqrt 2))) (* (- (hypot 1 (sqrt 2))) y) 2.627 * * * [progress]: adding candidates to table 2.865 * [progress]: [Phase 3 of 3] Extracting. 2.865 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.867 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.867 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.894 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 2.918 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.945 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.974 * * * [regime]: Found split indices: #