Average Error: 63.5 → 46.3
Time: 1.8min
Precision: binary64
Cost: 59596
\[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
\[\begin{array}{l} t_0 := 0.005555555555555556 \cdot \left(\pi \cdot angle\right)\\ t_1 := 0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ t_2 := a \cdot \sqrt{8}\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{+112}:\\ \;\;\;\;-0.25 \cdot \left(y-scale \cdot \left(t_2 \cdot \left(\sqrt{2} \cdot \sin \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right)\\ \mathbf{elif}\;a \leq 4 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3900000000000:\\ \;\;\;\;0.25 \cdot \left(x-scale \cdot \left(\sqrt{8} \cdot \sqrt{2 \cdot \mathsf{fma}\left(b \cdot b, {\sin t_0}^{2}, \left(a \cdot a\right) \cdot {\cos t_0}^{2}\right)}\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+225}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(t_2 \cdot \sqrt{2}\right)\right)\\ \end{array} \]
(FPCore (a b angle x-scale y-scale)
 :precision binary64
 (/
  (-
   (sqrt
    (*
     (*
      (* 2.0 (/ (* 4.0 (* (* b a) (* b (- a)))) (pow (* x-scale y-scale) 2.0)))
      (* (* b a) (* b (- a))))
     (+
      (+
       (/
        (/
         (+
          (pow (* a (sin (* (/ angle 180.0) PI))) 2.0)
          (pow (* b (cos (* (/ angle 180.0) PI))) 2.0))
         x-scale)
        x-scale)
       (/
        (/
         (+
          (pow (* a (cos (* (/ angle 180.0) PI))) 2.0)
          (pow (* b (sin (* (/ angle 180.0) PI))) 2.0))
         y-scale)
        y-scale))
      (sqrt
       (+
        (pow
         (-
          (/
           (/
            (+
             (pow (* a (sin (* (/ angle 180.0) PI))) 2.0)
             (pow (* b (cos (* (/ angle 180.0) PI))) 2.0))
            x-scale)
           x-scale)
          (/
           (/
            (+
             (pow (* a (cos (* (/ angle 180.0) PI))) 2.0)
             (pow (* b (sin (* (/ angle 180.0) PI))) 2.0))
            y-scale)
           y-scale))
         2.0)
        (pow
         (/
          (/
           (*
            (*
             (* 2.0 (- (pow b 2.0) (pow a 2.0)))
             (sin (* (/ angle 180.0) PI)))
            (cos (* (/ angle 180.0) PI)))
           x-scale)
          y-scale)
         2.0)))))))
  (/ (* 4.0 (* (* b a) (* b (- a)))) (pow (* x-scale y-scale) 2.0))))
(FPCore (a b angle x-scale y-scale)
 :precision binary64
 (let* ((t_0 (* 0.005555555555555556 (* PI angle)))
        (t_1
         (*
          0.25
          (fabs
           (*
            (* (sqrt 8.0) b)
            (* (pow 2.0 0.25) (* y-scale (pow 2.0 0.25)))))))
        (t_2 (* a (sqrt 8.0))))
   (if (<= a -2.4e+112)
     (*
      -0.25
      (*
       y-scale
       (* t_2 (* (sqrt 2.0) (sin (* PI (* 0.005555555555555556 angle)))))))
     (if (<= a 4e-68)
       t_1
       (if (<= a 3900000000000.0)
         (*
          0.25
          (*
           x-scale
           (*
            (sqrt 8.0)
            (sqrt
             (*
              2.0
              (fma
               (* b b)
               (pow (sin t_0) 2.0)
               (* (* a a) (pow (cos t_0) 2.0))))))))
         (if (<= a 5.2e+225) t_1 (* -0.25 (* x-scale (* t_2 (sqrt 2.0))))))))))
double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	return -sqrt((((2.0 * ((4.0 * ((b * a) * (b * -a))) / pow((x_45_scale * y_45_scale), 2.0))) * ((b * a) * (b * -a))) * (((((pow((a * sin(((angle / 180.0) * ((double) M_PI)))), 2.0) + pow((b * cos(((angle / 180.0) * ((double) M_PI)))), 2.0)) / x_45_scale) / x_45_scale) + (((pow((a * cos(((angle / 180.0) * ((double) M_PI)))), 2.0) + pow((b * sin(((angle / 180.0) * ((double) M_PI)))), 2.0)) / y_45_scale) / y_45_scale)) + sqrt((pow(((((pow((a * sin(((angle / 180.0) * ((double) M_PI)))), 2.0) + pow((b * cos(((angle / 180.0) * ((double) M_PI)))), 2.0)) / x_45_scale) / x_45_scale) - (((pow((a * cos(((angle / 180.0) * ((double) M_PI)))), 2.0) + pow((b * sin(((angle / 180.0) * ((double) M_PI)))), 2.0)) / y_45_scale) / y_45_scale)), 2.0) + pow((((((2.0 * (pow(b, 2.0) - pow(a, 2.0))) * sin(((angle / 180.0) * ((double) M_PI)))) * cos(((angle / 180.0) * ((double) M_PI)))) / x_45_scale) / y_45_scale), 2.0)))))) / ((4.0 * ((b * a) * (b * -a))) / pow((x_45_scale * y_45_scale), 2.0));
}
double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	double t_0 = 0.005555555555555556 * (((double) M_PI) * angle);
	double t_1 = 0.25 * fabs(((sqrt(8.0) * b) * (pow(2.0, 0.25) * (y_45_scale * pow(2.0, 0.25)))));
	double t_2 = a * sqrt(8.0);
	double tmp;
	if (a <= -2.4e+112) {
		tmp = -0.25 * (y_45_scale * (t_2 * (sqrt(2.0) * sin((((double) M_PI) * (0.005555555555555556 * angle))))));
	} else if (a <= 4e-68) {
		tmp = t_1;
	} else if (a <= 3900000000000.0) {
		tmp = 0.25 * (x_45_scale * (sqrt(8.0) * sqrt((2.0 * fma((b * b), pow(sin(t_0), 2.0), ((a * a) * pow(cos(t_0), 2.0)))))));
	} else if (a <= 5.2e+225) {
		tmp = t_1;
	} else {
		tmp = -0.25 * (x_45_scale * (t_2 * sqrt(2.0)));
	}
	return tmp;
}
function code(a, b, angle, x_45_scale, y_45_scale)
	return Float64(Float64(-sqrt(Float64(Float64(Float64(2.0 * Float64(Float64(4.0 * Float64(Float64(b * a) * Float64(b * Float64(-a)))) / (Float64(x_45_scale * y_45_scale) ^ 2.0))) * Float64(Float64(b * a) * Float64(b * Float64(-a)))) * Float64(Float64(Float64(Float64(Float64((Float64(a * sin(Float64(Float64(angle / 180.0) * pi))) ^ 2.0) + (Float64(b * cos(Float64(Float64(angle / 180.0) * pi))) ^ 2.0)) / x_45_scale) / x_45_scale) + Float64(Float64(Float64((Float64(a * cos(Float64(Float64(angle / 180.0) * pi))) ^ 2.0) + (Float64(b * sin(Float64(Float64(angle / 180.0) * pi))) ^ 2.0)) / y_45_scale) / y_45_scale)) + sqrt(Float64((Float64(Float64(Float64(Float64((Float64(a * sin(Float64(Float64(angle / 180.0) * pi))) ^ 2.0) + (Float64(b * cos(Float64(Float64(angle / 180.0) * pi))) ^ 2.0)) / x_45_scale) / x_45_scale) - Float64(Float64(Float64((Float64(a * cos(Float64(Float64(angle / 180.0) * pi))) ^ 2.0) + (Float64(b * sin(Float64(Float64(angle / 180.0) * pi))) ^ 2.0)) / y_45_scale) / y_45_scale)) ^ 2.0) + (Float64(Float64(Float64(Float64(Float64(2.0 * Float64((b ^ 2.0) - (a ^ 2.0))) * sin(Float64(Float64(angle / 180.0) * pi))) * cos(Float64(Float64(angle / 180.0) * pi))) / x_45_scale) / y_45_scale) ^ 2.0))))))) / Float64(Float64(4.0 * Float64(Float64(b * a) * Float64(b * Float64(-a)))) / (Float64(x_45_scale * y_45_scale) ^ 2.0)))
end
function code(a, b, angle, x_45_scale, y_45_scale)
	t_0 = Float64(0.005555555555555556 * Float64(pi * angle))
	t_1 = Float64(0.25 * abs(Float64(Float64(sqrt(8.0) * b) * Float64((2.0 ^ 0.25) * Float64(y_45_scale * (2.0 ^ 0.25))))))
	t_2 = Float64(a * sqrt(8.0))
	tmp = 0.0
	if (a <= -2.4e+112)
		tmp = Float64(-0.25 * Float64(y_45_scale * Float64(t_2 * Float64(sqrt(2.0) * sin(Float64(pi * Float64(0.005555555555555556 * angle)))))));
	elseif (a <= 4e-68)
		tmp = t_1;
	elseif (a <= 3900000000000.0)
		tmp = Float64(0.25 * Float64(x_45_scale * Float64(sqrt(8.0) * sqrt(Float64(2.0 * fma(Float64(b * b), (sin(t_0) ^ 2.0), Float64(Float64(a * a) * (cos(t_0) ^ 2.0))))))));
	elseif (a <= 5.2e+225)
		tmp = t_1;
	else
		tmp = Float64(-0.25 * Float64(x_45_scale * Float64(t_2 * sqrt(2.0))));
	end
	return tmp
end
code[a_, b_, angle_, x$45$scale_, y$45$scale_] := N[((-N[Sqrt[N[(N[(N[(2.0 * N[(N[(4.0 * N[(N[(b * a), $MachinePrecision] * N[(b * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[Power[N[(x$45$scale * y$45$scale), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(b * a), $MachinePrecision] * N[(b * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(N[(N[Power[N[(a * N[Sin[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(b * N[Cos[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision] / x$45$scale), $MachinePrecision] / x$45$scale), $MachinePrecision] + N[(N[(N[(N[Power[N[(a * N[Cos[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(b * N[Sin[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision] / y$45$scale), $MachinePrecision] / y$45$scale), $MachinePrecision]), $MachinePrecision] + N[Sqrt[N[(N[Power[N[(N[(N[(N[(N[Power[N[(a * N[Sin[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(b * N[Cos[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision] / x$45$scale), $MachinePrecision] / x$45$scale), $MachinePrecision] - N[(N[(N[(N[Power[N[(a * N[Cos[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(b * N[Sin[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision] / y$45$scale), $MachinePrecision] / y$45$scale), $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(N[(N[(N[(N[(2.0 * N[(N[Power[b, 2.0], $MachinePrecision] - N[Power[a, 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[Sin[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] * N[Cos[N[(N[(angle / 180.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / x$45$scale), $MachinePrecision] / y$45$scale), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]) / N[(N[(4.0 * N[(N[(b * a), $MachinePrecision] * N[(b * (-a)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[Power[N[(x$45$scale * y$45$scale), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
code[a_, b_, angle_, x$45$scale_, y$45$scale_] := Block[{t$95$0 = N[(0.005555555555555556 * N[(Pi * angle), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(0.25 * N[Abs[N[(N[(N[Sqrt[8.0], $MachinePrecision] * b), $MachinePrecision] * N[(N[Power[2.0, 0.25], $MachinePrecision] * N[(y$45$scale * N[Power[2.0, 0.25], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[Sqrt[8.0], $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.4e+112], N[(-0.25 * N[(y$45$scale * N[(t$95$2 * N[(N[Sqrt[2.0], $MachinePrecision] * N[Sin[N[(Pi * N[(0.005555555555555556 * angle), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4e-68], t$95$1, If[LessEqual[a, 3900000000000.0], N[(0.25 * N[(x$45$scale * N[(N[Sqrt[8.0], $MachinePrecision] * N[Sqrt[N[(2.0 * N[(N[(b * b), $MachinePrecision] * N[Power[N[Sin[t$95$0], $MachinePrecision], 2.0], $MachinePrecision] + N[(N[(a * a), $MachinePrecision] * N[Power[N[Cos[t$95$0], $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.2e+225], t$95$1, N[(-0.25 * N[(x$45$scale * N[(t$95$2 * N[Sqrt[2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]
\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}}
\begin{array}{l}
t_0 := 0.005555555555555556 \cdot \left(\pi \cdot angle\right)\\
t_1 := 0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\
t_2 := a \cdot \sqrt{8}\\
\mathbf{if}\;a \leq -2.4 \cdot 10^{+112}:\\
\;\;\;\;-0.25 \cdot \left(y-scale \cdot \left(t_2 \cdot \left(\sqrt{2} \cdot \sin \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right)\\

\mathbf{elif}\;a \leq 4 \cdot 10^{-68}:\\
\;\;\;\;t_1\\

\mathbf{elif}\;a \leq 3900000000000:\\
\;\;\;\;0.25 \cdot \left(x-scale \cdot \left(\sqrt{8} \cdot \sqrt{2 \cdot \mathsf{fma}\left(b \cdot b, {\sin t_0}^{2}, \left(a \cdot a\right) \cdot {\cos t_0}^{2}\right)}\right)\right)\\

\mathbf{elif}\;a \leq 5.2 \cdot 10^{+225}:\\
\;\;\;\;t_1\\

\mathbf{else}:\\
\;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(t_2 \cdot \sqrt{2}\right)\right)\\


\end{array}

Error

Derivation

  1. Split input into 4 regimes
  2. if a < -2.4e112

    1. Initial program 63.8

      \[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
    2. Simplified63.5

      \[\leadsto \color{blue}{{\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \frac{\sqrt{\left(b \cdot \left(\left(a \cdot \left(b \cdot \left(-a\right)\right)\right) \cdot \frac{8 \cdot \left(b \cdot \left(\left(-a\right) \cdot \left(b \cdot a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right)\right) \cdot \left(\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right) + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{2 \cdot \left(\sin \left(\frac{angle}{180} \cdot \pi\right) \cdot \left(b \cdot b - a \cdot a\right)\right)}{x-scale} \cdot \frac{\cos \left(\frac{angle}{180} \cdot \pi\right)}{y-scale}\right)\right)}}{b \cdot \left(\left(-a\right) \cdot \left(b \cdot a\right)\right)}\right)} \]
      Proof
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (Rewrite<= metadata-eval (/.f64 -1 4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 2 4)) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 29 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 29 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (Rewrite<= associate-*r*_binary64 (*.f64 2 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (Rewrite<= associate-*r/_binary64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 29 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 29 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 7 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 x-scale y-scale))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite=> associate-/r*_binary64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (Rewrite<= unpow2_binary64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (Rewrite<= unpow2_binary64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 -1 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (/.f64 (Rewrite<= neg-mul-1_binary64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-/r/_binary64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))): 0 points increase in error, 0 points decrease in error
    3. Taylor expanded in a around -inf 61.7

      \[\leadsto {\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \color{blue}{\left(\frac{a \cdot \sqrt{8}}{y-scale \cdot x-scale} \cdot \sqrt{\sqrt{4 \cdot \frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}} + {\left(\frac{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{x-scale}^{2}} - \frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}}\right)}^{2}} + \left(\frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}} + \frac{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{x-scale}^{2}}\right)}\right)}\right) \]
    4. Simplified61.7

      \[\leadsto {\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \color{blue}{\left(\sqrt{\frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \left(\frac{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \sqrt{\mathsf{fma}\left(4, \frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{\frac{\left(x-scale \cdot x-scale\right) \cdot \left(y-scale \cdot y-scale\right)}{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}}, {\left(\frac{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right)}^{2}\right)}\right)} \cdot \left(\frac{a}{x-scale} \cdot \frac{\sqrt{8}}{y-scale}\right)\right)}\right) \]
      Proof
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2)) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 x-scale 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite=> *-commutative_binary64 (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= +-commutative_binary64 (+.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2) (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite=> fma-def_binary64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (Rewrite=> associate-+r+_binary64 (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))) (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (Rewrite<= +-commutative_binary64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a (sqrt.f64 8)) (*.f64 x-scale y-scale)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (/.f64 (*.f64 a (sqrt.f64 8)) (Rewrite=> *-commutative_binary64 (*.f64 y-scale x-scale)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (*.f64 a (sqrt.f64 8)) (*.f64 y-scale x-scale)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))))))): 0 points increase in error, 0 points decrease in error
    5. Taylor expanded in x-scale around 0 57.3

      \[\leadsto \color{blue}{-0.25 \cdot \left(y-scale \cdot \left(\sqrt{2} \cdot \left(a \cdot \left(\sqrt{8} \cdot \sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)\right)\right)\right)} \]
    6. Simplified57.3

      \[\leadsto \color{blue}{-0.25 \cdot \left(y-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \left(\sqrt{2} \cdot \sin \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right)} \]
      Proof
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (PI.f64) 1/180) angle))))))): 0 points increase in error, 9 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (PI.f64))) angle)))))): 0 points increase in error, 9 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))): 9 points increase in error, 0 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/180 (Rewrite<= *-commutative_binary64 (*.f64 angle (PI.f64))))))))): 9 points increase in error, 0 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (*.f64 a (sqrt.f64 8)) (Rewrite=> *-commutative_binary64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sqrt.f64 2)))))): 0 points increase in error, 9 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 a (sqrt.f64 8)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (sqrt.f64 2))))): 9 points increase in error, 0 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 a (*.f64 (sqrt.f64 8) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))): 0 points increase in error, 9 points decrease in error
      (*.f64 -1/4 (*.f64 y-scale (Rewrite<= *-commutative_binary64 (*.f64 (sqrt.f64 2) (*.f64 a (*.f64 (sqrt.f64 8) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))): 1 points increase in error, 8 points decrease in error

    if -2.4e112 < a < 4.00000000000000027e-68 or 3.9e12 < a < 5.20000000000000009e225

    1. Initial program 63.5

      \[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
    2. Taylor expanded in angle around 0 53.0

      \[\leadsto \color{blue}{0.25 \cdot \left(\sqrt{2} \cdot \left(y-scale \cdot \left(b \cdot \sqrt{8}\right)\right)\right)} \]
    3. Applied egg-rr44.0

      \[\leadsto 0.25 \cdot \color{blue}{\left|\left(b \cdot \sqrt{8}\right) \cdot \left(\sqrt{2} \cdot y-scale\right)\right|} \]
    4. Applied egg-rr58.5

      \[\leadsto 0.25 \cdot \left|\left(b \cdot \sqrt{8}\right) \cdot \color{blue}{{\left({\left(\sqrt{2} \cdot y-scale\right)}^{3}\right)}^{0.3333333333333333}}\right| \]
    5. Applied egg-rr43.9

      \[\leadsto 0.25 \cdot \left|\left(b \cdot \sqrt{8}\right) \cdot \color{blue}{\left({2}^{0.25} \cdot \left({2}^{0.25} \cdot y-scale\right)\right)}\right| \]

    if 4.00000000000000027e-68 < a < 3.9e12

    1. Initial program 63.2

      \[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
    2. Taylor expanded in y-scale around 0 53.2

      \[\leadsto \color{blue}{0.25 \cdot \left(\left(x-scale \cdot \sqrt{8}\right) \cdot \sqrt{2 \cdot \left({a}^{2} \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}\right) + 2 \cdot \left({b}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}\right)}\right)} \]
    3. Simplified53.2

      \[\leadsto \color{blue}{0.25 \cdot \left(x-scale \cdot \left(\sqrt{8} \cdot \sqrt{2 \cdot \mathsf{fma}\left(b \cdot b, {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}, \left(a \cdot a\right) \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}\right)}\right)\right)} \]
      Proof
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (*.f64 (*.f64 a a) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (*.f64 2 (fma.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (*.f64 (*.f64 a a) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))): 0 points increase in error, 7 points decrease in error
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))): 7 points increase in error, 0 points decrease in error
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (*.f64 2 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))))): 0 points increase in error, 7 points decrease in error
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (*.f64 2 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))))): 7 points increase in error, 0 points decrease in error
      (*.f64 1/4 (*.f64 x-scale (*.f64 (sqrt.f64 8) (sqrt.f64 (Rewrite<= distribute-lft-out_binary64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 1/4 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))): 0 points increase in error, 7 points decrease in error

    if 5.20000000000000009e225 < a

    1. Initial program 64.0

      \[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
    2. Simplified64.0

      \[\leadsto \color{blue}{{\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \frac{\sqrt{\left(b \cdot \left(\left(a \cdot \left(b \cdot \left(-a\right)\right)\right) \cdot \frac{8 \cdot \left(b \cdot \left(\left(-a\right) \cdot \left(b \cdot a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right)\right) \cdot \left(\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right) + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{2 \cdot \left(\sin \left(\frac{angle}{180} \cdot \pi\right) \cdot \left(b \cdot b - a \cdot a\right)\right)}{x-scale} \cdot \frac{\cos \left(\frac{angle}{180} \cdot \pi\right)}{y-scale}\right)\right)}}{b \cdot \left(\left(-a\right) \cdot \left(b \cdot a\right)\right)}\right)} \]
      Proof
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (Rewrite<= metadata-eval (/.f64 -1 4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 2 4)) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 29 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 29 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (Rewrite<= associate-*r*_binary64 (*.f64 2 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (Rewrite<= associate-*r/_binary64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 29 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 29 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 7 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (Rewrite<= associate-/l/_binary64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (*.f64 2 (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (*.f64 (/.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 x-scale y-scale))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (hypot.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite=> associate-/r*_binary64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (Rewrite<= unpow2_binary64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (Rewrite<= unpow2_binary64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b a)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 -1 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (/.f64 (Rewrite<= neg-mul-1_binary64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-/r/_binary64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))): 0 points increase in error, 0 points decrease in error
    3. Taylor expanded in a around -inf 63.3

      \[\leadsto {\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \color{blue}{\left(\frac{a \cdot \sqrt{8}}{y-scale \cdot x-scale} \cdot \sqrt{\sqrt{4 \cdot \frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}} + {\left(\frac{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{x-scale}^{2}} - \frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}}\right)}^{2}} + \left(\frac{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}} + \frac{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{x-scale}^{2}}\right)}\right)}\right) \]
    4. Simplified63.4

      \[\leadsto {\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \color{blue}{\left(\sqrt{\frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \left(\frac{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \sqrt{\mathsf{fma}\left(4, \frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{\frac{\left(x-scale \cdot x-scale\right) \cdot \left(y-scale \cdot y-scale\right)}{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}}, {\left(\frac{{\sin \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\cos \left(angle \cdot \left(0.005555555555555556 \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right)}^{2}\right)}\right)} \cdot \left(\frac{a}{x-scale} \cdot \frac{\sqrt{8}}{y-scale}\right)\right)}\right) \]
      Proof
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 x-scale x-scale)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (/.f64 (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2)) (*.f64 y-scale y-scale)) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 x-scale 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)) (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite=> *-commutative_binary64 (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (*.f64 y-scale y-scale))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= +-commutative_binary64 (+.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2) (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite=> fma-def_binary64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 39 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (sqrt.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 39 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (Rewrite=> associate-+r+_binary64 (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))) (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (Rewrite<= +-commutative_binary64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)))))) (*.f64 (/.f64 a x-scale) (/.f64 (sqrt.f64 8) y-scale))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a (sqrt.f64 8)) (*.f64 x-scale y-scale)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (/.f64 (*.f64 a (sqrt.f64 8)) (Rewrite=> *-commutative_binary64 (*.f64 y-scale x-scale)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (*.f64 a (sqrt.f64 8)) (*.f64 y-scale x-scale)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))))))): 0 points increase in error, 0 points decrease in error
    5. Taylor expanded in angle around 0 49.1

      \[\leadsto \color{blue}{-0.25 \cdot \left(x-scale \cdot \left(\sqrt{2} \cdot \left(a \cdot \sqrt{8}\right)\right)\right)} \]
  3. Recombined 4 regimes into one program.
  4. Final simplification46.3

    \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.4 \cdot 10^{+112}:\\ \;\;\;\;-0.25 \cdot \left(y-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \left(\sqrt{2} \cdot \sin \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right)\\ \mathbf{elif}\;a \leq 4 \cdot 10^{-68}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{elif}\;a \leq 3900000000000:\\ \;\;\;\;0.25 \cdot \left(x-scale \cdot \left(\sqrt{8} \cdot \sqrt{2 \cdot \mathsf{fma}\left(b \cdot b, {\sin \left(0.005555555555555556 \cdot \left(\pi \cdot angle\right)\right)}^{2}, \left(a \cdot a\right) \cdot {\cos \left(0.005555555555555556 \cdot \left(\pi \cdot angle\right)\right)}^{2}\right)}\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+225}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error45.7
Cost27092
\[\begin{array}{l} t_0 := -0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ t_1 := 0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{if}\;b \leq -2 \cdot 10^{-98}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{-135}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-144}:\\ \;\;\;\;\left(a \cdot \left(\sqrt{2} \cdot \left(\sqrt{8} \cdot \cos \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right) \cdot \left(-0.25 \cdot x-scale\right)\\ \mathbf{elif}\;b \leq 1.75 \cdot 10^{-31}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 2
Error45.3
Cost26696
\[\begin{array}{l} \mathbf{if}\;a \leq -5.2 \cdot 10^{+68}:\\ \;\;\;\;-0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{+227}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 3
Error45.4
Cost26696
\[\begin{array}{l} \mathbf{if}\;a \leq -4.8 \cdot 10^{+68}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\sqrt{2} \cdot \left(a \cdot \left(\sqrt{8} \cdot \cos \left(0.005555555555555556 \cdot \left(\pi \cdot angle\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+226}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 4
Error45.9
Cost26696
\[\begin{array}{l} t_0 := a \cdot \sqrt{8}\\ \mathbf{if}\;a \leq -4.4 \cdot 10^{+112}:\\ \;\;\;\;-0.25 \cdot \left(y-scale \cdot \left(t_0 \cdot \left(\sqrt{2} \cdot \sin \left(\pi \cdot \left(0.005555555555555556 \cdot angle\right)\right)\right)\right)\right)\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+225}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left({2}^{0.25} \cdot \left(y-scale \cdot {2}^{0.25}\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(t_0 \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 5
Error45.4
Cost20040
\[\begin{array}{l} \mathbf{if}\;a \leq -1.55 \cdot 10^{+68}:\\ \;\;\;\;-0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ \mathbf{elif}\;a \leq 4.7 \cdot 10^{+225}:\\ \;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(y-scale \cdot \left(\sqrt{8} \cdot b\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 6
Error45.4
Cost20040
\[\begin{array}{l} \mathbf{if}\;a \leq -3 \cdot 10^{+68}:\\ \;\;\;\;-0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{+226}:\\ \;\;\;\;0.25 \cdot \left|\left(\sqrt{8} \cdot b\right) \cdot \left(y-scale \cdot \sqrt{2}\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 7
Error45.4
Cost19912
\[\begin{array}{l} \mathbf{if}\;a \leq -3.2 \cdot 10^{+67}:\\ \;\;\;\;-0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{+226}:\\ \;\;\;\;\left|\sqrt{0.125} \cdot \left(\sqrt{8} \cdot \left(y-scale \cdot b\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 8
Error52.6
Cost13772
\[\begin{array}{l} t_0 := -0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \mathbf{if}\;a \leq -3.3 \cdot 10^{-157}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-284}:\\ \;\;\;\;y-scale \cdot b\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+225}:\\ \;\;\;\;\left(y-scale \cdot 0.25\right) \cdot \left(b \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 9
Error52.6
Cost13772
\[\begin{array}{l} \mathbf{if}\;a \leq -3 \cdot 10^{-157}:\\ \;\;\;\;-0.25 \cdot \left(\sqrt{8} \cdot \left(a \cdot \left(\sqrt{2} \cdot x-scale\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-284}:\\ \;\;\;\;y-scale \cdot b\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+225}:\\ \;\;\;\;\left(y-scale \cdot 0.25\right) \cdot \left(b \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;-0.25 \cdot \left(x-scale \cdot \left(\left(a \cdot \sqrt{8}\right) \cdot \sqrt{2}\right)\right)\\ \end{array} \]
Alternative 10
Error53.7
Cost13585
\[\begin{array}{l} t_0 := \left(y-scale \cdot 0.25\right) \cdot \left(b \cdot -4\right)\\ \mathbf{if}\;b \leq -5.5 \cdot 10^{+189}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{+60}:\\ \;\;\;\;y-scale \cdot b\\ \mathbf{elif}\;b \leq 4.8 \cdot 10^{+29} \lor \neg \left(b \leq 9.8 \cdot 10^{+173}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\sqrt{{\left(y-scale \cdot b\right)}^{2}}\\ \end{array} \]
Alternative 11
Error53.9
Cost978
\[\begin{array}{l} \mathbf{if}\;x-scale \leq -6 \cdot 10^{-294} \lor \neg \left(x-scale \leq 1.5 \cdot 10^{-162} \lor \neg \left(x-scale \leq 1.32 \cdot 10^{-5}\right) \land x-scale \leq 8.9 \cdot 10^{+98}\right):\\ \;\;\;\;\left(y-scale \cdot 0.25\right) \cdot \left(b \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;y-scale \cdot b\\ \end{array} \]
Alternative 12
Error54.1
Cost192
\[y-scale \cdot b \]

Error

Reproduce

herbie shell --seed 2022343 
(FPCore (a b angle x-scale y-scale)
  :name "a from scale-rotated-ellipse"
  :precision binary64
  (/ (- (sqrt (* (* (* 2.0 (/ (* 4.0 (* (* b a) (* b (- a)))) (pow (* x-scale y-scale) 2.0))) (* (* b a) (* b (- a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180.0) PI))) 2.0) (pow (* b (cos (* (/ angle 180.0) PI))) 2.0)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180.0) PI))) 2.0) (pow (* b (sin (* (/ angle 180.0) PI))) 2.0)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180.0) PI))) 2.0) (pow (* b (cos (* (/ angle 180.0) PI))) 2.0)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180.0) PI))) 2.0) (pow (* b (sin (* (/ angle 180.0) PI))) 2.0)) y-scale) y-scale)) 2.0) (pow (/ (/ (* (* (* 2.0 (- (pow b 2.0) (pow a 2.0))) (sin (* (/ angle 180.0) PI))) (cos (* (/ angle 180.0) PI))) x-scale) y-scale) 2.0))))))) (/ (* 4.0 (* (* b a) (* b (- a)))) (pow (* x-scale y-scale) 2.0))))