Average Error: 63.5 → 39.1
Time: 1.5min
Precision: binary64
Cost: 52936
\[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}} \]
\[\begin{array}{l} t_0 := angle \cdot \left(\pi \cdot 0.005555555555555556\right)\\ t_1 := 0.005555555555555556 \cdot \left(angle \cdot \pi\right)\\ \mathbf{if}\;y-scale \leq -1.52 \cdot 10^{+127}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{elif}\;y-scale \leq 2.45 \cdot 10^{+47}:\\ \;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(b \cdot \sin t_0, a \cdot \cos t_0\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;\left(0.25 \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left({\left(a \cdot \sin t_1\right)}^{2} + {\left(b \cdot \cos t_1\right)}^{2}\right)}\\ \end{array} \]
(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 (* angle (* PI 0.005555555555555556)))
        (t_1 (* 0.005555555555555556 (* angle PI))))
   (if (<= y-scale -1.52e+127)
     (* 0.25 (* (sqrt (pow (* y-scale b) 2.0)) 4.0))
     (if (<= y-scale 2.45e+47)
       (*
        0.25
        (fabs
         (*
          (sqrt 2.0)
          (* (* x-scale (sqrt 8.0)) (hypot (* b (sin t_0)) (* a (cos t_0)))))))
       (*
        (* 0.25 (* y-scale (sqrt 8.0)))
        (sqrt
         (* 2.0 (+ (pow (* a (sin t_1)) 2.0) (pow (* b (cos t_1)) 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 = angle * (((double) M_PI) * 0.005555555555555556);
	double t_1 = 0.005555555555555556 * (angle * ((double) M_PI));
	double tmp;
	if (y_45_scale <= -1.52e+127) {
		tmp = 0.25 * (sqrt(pow((y_45_scale * b), 2.0)) * 4.0);
	} else if (y_45_scale <= 2.45e+47) {
		tmp = 0.25 * fabs((sqrt(2.0) * ((x_45_scale * sqrt(8.0)) * hypot((b * sin(t_0)), (a * cos(t_0))))));
	} else {
		tmp = (0.25 * (y_45_scale * sqrt(8.0))) * sqrt((2.0 * (pow((a * sin(t_1)), 2.0) + pow((b * cos(t_1)), 2.0))));
	}
	return tmp;
}
public static double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	return -Math.sqrt((((2.0 * ((4.0 * ((b * a) * (b * -a))) / Math.pow((x_45_scale * y_45_scale), 2.0))) * ((b * a) * (b * -a))) * (((((Math.pow((a * Math.sin(((angle / 180.0) * Math.PI))), 2.0) + Math.pow((b * Math.cos(((angle / 180.0) * Math.PI))), 2.0)) / x_45_scale) / x_45_scale) + (((Math.pow((a * Math.cos(((angle / 180.0) * Math.PI))), 2.0) + Math.pow((b * Math.sin(((angle / 180.0) * Math.PI))), 2.0)) / y_45_scale) / y_45_scale)) + Math.sqrt((Math.pow(((((Math.pow((a * Math.sin(((angle / 180.0) * Math.PI))), 2.0) + Math.pow((b * Math.cos(((angle / 180.0) * Math.PI))), 2.0)) / x_45_scale) / x_45_scale) - (((Math.pow((a * Math.cos(((angle / 180.0) * Math.PI))), 2.0) + Math.pow((b * Math.sin(((angle / 180.0) * Math.PI))), 2.0)) / y_45_scale) / y_45_scale)), 2.0) + Math.pow((((((2.0 * (Math.pow(b, 2.0) - Math.pow(a, 2.0))) * Math.sin(((angle / 180.0) * Math.PI))) * Math.cos(((angle / 180.0) * Math.PI))) / x_45_scale) / y_45_scale), 2.0)))))) / ((4.0 * ((b * a) * (b * -a))) / Math.pow((x_45_scale * y_45_scale), 2.0));
}
public static double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	double t_0 = angle * (Math.PI * 0.005555555555555556);
	double t_1 = 0.005555555555555556 * (angle * Math.PI);
	double tmp;
	if (y_45_scale <= -1.52e+127) {
		tmp = 0.25 * (Math.sqrt(Math.pow((y_45_scale * b), 2.0)) * 4.0);
	} else if (y_45_scale <= 2.45e+47) {
		tmp = 0.25 * Math.abs((Math.sqrt(2.0) * ((x_45_scale * Math.sqrt(8.0)) * Math.hypot((b * Math.sin(t_0)), (a * Math.cos(t_0))))));
	} else {
		tmp = (0.25 * (y_45_scale * Math.sqrt(8.0))) * Math.sqrt((2.0 * (Math.pow((a * Math.sin(t_1)), 2.0) + Math.pow((b * Math.cos(t_1)), 2.0))));
	}
	return tmp;
}
def code(a, b, angle, x_45_scale, y_45_scale):
	return -math.sqrt((((2.0 * ((4.0 * ((b * a) * (b * -a))) / math.pow((x_45_scale * y_45_scale), 2.0))) * ((b * a) * (b * -a))) * (((((math.pow((a * math.sin(((angle / 180.0) * math.pi))), 2.0) + math.pow((b * math.cos(((angle / 180.0) * math.pi))), 2.0)) / x_45_scale) / x_45_scale) + (((math.pow((a * math.cos(((angle / 180.0) * math.pi))), 2.0) + math.pow((b * math.sin(((angle / 180.0) * math.pi))), 2.0)) / y_45_scale) / y_45_scale)) + math.sqrt((math.pow(((((math.pow((a * math.sin(((angle / 180.0) * math.pi))), 2.0) + math.pow((b * math.cos(((angle / 180.0) * math.pi))), 2.0)) / x_45_scale) / x_45_scale) - (((math.pow((a * math.cos(((angle / 180.0) * math.pi))), 2.0) + math.pow((b * math.sin(((angle / 180.0) * math.pi))), 2.0)) / y_45_scale) / y_45_scale)), 2.0) + math.pow((((((2.0 * (math.pow(b, 2.0) - math.pow(a, 2.0))) * math.sin(((angle / 180.0) * math.pi))) * math.cos(((angle / 180.0) * math.pi))) / x_45_scale) / y_45_scale), 2.0)))))) / ((4.0 * ((b * a) * (b * -a))) / math.pow((x_45_scale * y_45_scale), 2.0))
def code(a, b, angle, x_45_scale, y_45_scale):
	t_0 = angle * (math.pi * 0.005555555555555556)
	t_1 = 0.005555555555555556 * (angle * math.pi)
	tmp = 0
	if y_45_scale <= -1.52e+127:
		tmp = 0.25 * (math.sqrt(math.pow((y_45_scale * b), 2.0)) * 4.0)
	elif y_45_scale <= 2.45e+47:
		tmp = 0.25 * math.fabs((math.sqrt(2.0) * ((x_45_scale * math.sqrt(8.0)) * math.hypot((b * math.sin(t_0)), (a * math.cos(t_0))))))
	else:
		tmp = (0.25 * (y_45_scale * math.sqrt(8.0))) * math.sqrt((2.0 * (math.pow((a * math.sin(t_1)), 2.0) + math.pow((b * math.cos(t_1)), 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(angle * Float64(pi * 0.005555555555555556))
	t_1 = Float64(0.005555555555555556 * Float64(angle * pi))
	tmp = 0.0
	if (y_45_scale <= -1.52e+127)
		tmp = Float64(0.25 * Float64(sqrt((Float64(y_45_scale * b) ^ 2.0)) * 4.0));
	elseif (y_45_scale <= 2.45e+47)
		tmp = Float64(0.25 * abs(Float64(sqrt(2.0) * Float64(Float64(x_45_scale * sqrt(8.0)) * hypot(Float64(b * sin(t_0)), Float64(a * cos(t_0)))))));
	else
		tmp = Float64(Float64(0.25 * Float64(y_45_scale * sqrt(8.0))) * sqrt(Float64(2.0 * Float64((Float64(a * sin(t_1)) ^ 2.0) + (Float64(b * cos(t_1)) ^ 2.0)))));
	end
	return tmp
end
function tmp = code(a, b, angle, x_45_scale, y_45_scale)
	tmp = -sqrt((((2.0 * ((4.0 * ((b * a) * (b * -a))) / ((x_45_scale * y_45_scale) ^ 2.0))) * ((b * a) * (b * -a))) * (((((((a * sin(((angle / 180.0) * pi))) ^ 2.0) + ((b * cos(((angle / 180.0) * pi))) ^ 2.0)) / x_45_scale) / x_45_scale) + (((((a * cos(((angle / 180.0) * pi))) ^ 2.0) + ((b * sin(((angle / 180.0) * pi))) ^ 2.0)) / y_45_scale) / y_45_scale)) + sqrt(((((((((a * sin(((angle / 180.0) * pi))) ^ 2.0) + ((b * cos(((angle / 180.0) * pi))) ^ 2.0)) / x_45_scale) / x_45_scale) - (((((a * cos(((angle / 180.0) * pi))) ^ 2.0) + ((b * sin(((angle / 180.0) * pi))) ^ 2.0)) / y_45_scale) / y_45_scale)) ^ 2.0) + ((((((2.0 * ((b ^ 2.0) - (a ^ 2.0))) * sin(((angle / 180.0) * pi))) * cos(((angle / 180.0) * pi))) / x_45_scale) / y_45_scale) ^ 2.0)))))) / ((4.0 * ((b * a) * (b * -a))) / ((x_45_scale * y_45_scale) ^ 2.0));
end
function tmp_2 = code(a, b, angle, x_45_scale, y_45_scale)
	t_0 = angle * (pi * 0.005555555555555556);
	t_1 = 0.005555555555555556 * (angle * pi);
	tmp = 0.0;
	if (y_45_scale <= -1.52e+127)
		tmp = 0.25 * (sqrt(((y_45_scale * b) ^ 2.0)) * 4.0);
	elseif (y_45_scale <= 2.45e+47)
		tmp = 0.25 * abs((sqrt(2.0) * ((x_45_scale * sqrt(8.0)) * hypot((b * sin(t_0)), (a * cos(t_0))))));
	else
		tmp = (0.25 * (y_45_scale * sqrt(8.0))) * sqrt((2.0 * (((a * sin(t_1)) ^ 2.0) + ((b * cos(t_1)) ^ 2.0))));
	end
	tmp_2 = 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[(angle * N[(Pi * 0.005555555555555556), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(0.005555555555555556 * N[(angle * Pi), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y$45$scale, -1.52e+127], N[(0.25 * N[(N[Sqrt[N[Power[N[(y$45$scale * b), $MachinePrecision], 2.0], $MachinePrecision]], $MachinePrecision] * 4.0), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$45$scale, 2.45e+47], N[(0.25 * N[Abs[N[(N[Sqrt[2.0], $MachinePrecision] * N[(N[(x$45$scale * N[Sqrt[8.0], $MachinePrecision]), $MachinePrecision] * N[Sqrt[N[(b * N[Sin[t$95$0], $MachinePrecision]), $MachinePrecision] ^ 2 + N[(a * N[Cos[t$95$0], $MachinePrecision]), $MachinePrecision] ^ 2], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision], N[(N[(0.25 * N[(y$45$scale * N[Sqrt[8.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[Sqrt[N[(2.0 * N[(N[Power[N[(a * N[Sin[t$95$1], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(b * N[Cos[t$95$1], $MachinePrecision]), $MachinePrecision], 2.0], $MachinePrecision]), $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 := angle \cdot \left(\pi \cdot 0.005555555555555556\right)\\
t_1 := 0.005555555555555556 \cdot \left(angle \cdot \pi\right)\\
\mathbf{if}\;y-scale \leq -1.52 \cdot 10^{+127}:\\
\;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\

\mathbf{elif}\;y-scale \leq 2.45 \cdot 10^{+47}:\\
\;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(b \cdot \sin t_0, a \cdot \cos t_0\right)\right)\right|\\

\mathbf{else}:\\
\;\;\;\;\left(0.25 \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left({\left(a \cdot \sin t_1\right)}^{2} + {\left(b \cdot \cos t_1\right)}^{2}\right)}\\


\end{array}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Split input into 3 regimes
  2. if y-scale < -1.52000000000000007e127

    1. Initial program 63.7

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

      \[\leadsto \color{blue}{{\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \frac{\sqrt{\left(b \cdot \left(\left(a \cdot \left(b \cdot \left(-a\right)\right)\right) \cdot \frac{8 \cdot \left(\left(-a\right) \cdot \left(a \cdot \left(b \cdot b\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right)\right) \cdot \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{x-scale \cdot x-scale} + \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{y-scale \cdot y-scale} + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{\cos \left(\frac{angle}{\frac{180}{\pi}}\right)}{\frac{x-scale \cdot y-scale}{2 \cdot \left(\sin \left(\frac{angle}{\frac{180}{\pi}}\right) \cdot \left(b \cdot b - a \cdot a\right)\right)}}\right)\right)\right)}}{\left(-a\right) \cdot \left(a \cdot \left(b \cdot b\right)\right)}\right)} \]
      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 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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) (*.f64 (neg.f64 a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a b) b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 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) (*.f64 (neg.f64 a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 b a)) b))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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<= *-commutative_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 1 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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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<= *-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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (pow.f64 (*.f64 a (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 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 (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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (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 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 2 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 (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 (+.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 (pow.f64 (*.f64 a (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 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 (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 (+.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 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 3 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 (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 (+.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 (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2)))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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-/l*_binary64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 x-scale y-scale)))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (Rewrite<= *-commutative_binary64 (*.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 6 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 (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 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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 (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 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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)))) (Rewrite<= associate-+l+_binary64 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 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)))))) (*.f64 (neg.f64 a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a b) b)))))): 1 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)))))) (*.f64 (neg.f64 a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 b a)) b))))): 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 (*.f64 b a) b) (neg.f64 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-*r*_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)))): 2 points increase in error, 1 points decrease in error
    3. Taylor expanded in angle around 0 51.0

      \[\leadsto \color{blue}{0.25 \cdot \left(\sqrt{2} \cdot \left(y-scale \cdot \left(b \cdot \sqrt{8}\right)\right)\right)} \]
    4. Simplified51.0

      \[\leadsto \color{blue}{0.25 \cdot \left(\left(\sqrt{2} \cdot y-scale\right) \cdot \left(\sqrt{8} \cdot b\right)\right)} \]
      Proof
      (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) y-scale) (*.f64 (sqrt.f64 8) b))): 0 points increase in error, 0 points decrease in error
      (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) y-scale) (Rewrite<= *-commutative_binary64 (*.f64 b (sqrt.f64 8))))): 0 points increase in error, 0 points decrease in error
      (*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 y-scale (*.f64 b (sqrt.f64 8)))))): 47 points increase in error, 30 points decrease in error
    5. Applied egg-rr62.5

      \[\leadsto 0.25 \cdot \color{blue}{\sqrt{\left(2 \cdot \left(y-scale \cdot y-scale\right)\right) \cdot \left(8 \cdot \left(b \cdot b\right)\right)}} \]
    6. Simplified62.5

      \[\leadsto 0.25 \cdot \color{blue}{\sqrt{\left(y-scale \cdot y-scale\right) \cdot \left(\left(b \cdot b\right) \cdot 16\right)}} \]
      Proof
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) 16))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (Rewrite<= metadata-eval (*.f64 8 2))))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (*.f64 (Rewrite<= rem-square-sqrt_binary64 (*.f64 (sqrt.f64 8) (sqrt.f64 8))) 2)))): 11 points increase in error, 21 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 8)) (Rewrite<= rem-square-sqrt_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 2))))))): 14 points increase in error, 22 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (Rewrite<= swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 2)) (*.f64 (sqrt.f64 8) (sqrt.f64 2))))))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 2)) (*.f64 (sqrt.f64 8) (sqrt.f64 2))) (*.f64 b b))))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 8))) (*.f64 (sqrt.f64 8) (sqrt.f64 2))) (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) (Rewrite=> *-commutative_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)))) (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite<= swap-sqr_binary64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b))))): 10 points increase in error, 8 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b)))): 8 points increase in error, 6 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b)) (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b)))))): 10 points increase in error, 6 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 8) b) (*.f64 (sqrt.f64 8) b)))))): 8 points increase in error, 10 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (Rewrite=> rem-square-sqrt_binary64 2) (*.f64 (*.f64 (sqrt.f64 8) b) (*.f64 (sqrt.f64 8) b))))): 20 points increase in error, 13 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 2 (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 8)) (*.f64 b b)))))): 6 points increase in error, 15 points decrease in error
      (sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 2 (*.f64 (Rewrite=> rem-square-sqrt_binary64 8) (*.f64 b b))))): 21 points increase in error, 11 points decrease in error
      (sqrt.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 y-scale y-scale) 2) (*.f64 8 (*.f64 b b))))): 0 points increase in error, 0 points decrease in error
      (sqrt.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 2 (*.f64 y-scale y-scale))) (*.f64 8 (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
    7. Applied egg-rr50.6

      \[\leadsto 0.25 \cdot \color{blue}{\left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)} \]

    if -1.52000000000000007e127 < y-scale < 2.4500000000000001e47

    1. Initial program 63.4

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

      \[\leadsto \color{blue}{\frac{\sqrt{\frac{8 \cdot \left(\left(b \cdot \left(a \cdot \left(b \cdot a\right)\right)\right) \cdot \left(b \cdot \left(a \cdot \left(b \cdot a\right)\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}} \cdot \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{\frac{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}{\frac{x-scale}{b \cdot b - a \cdot a}}}{\frac{y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}\right)\right)\right)}}{b \cdot \left(\left(b \cdot a\right) \cdot \left(a \cdot -4\right)\right)} \cdot \left(-{\left(x-scale \cdot y-scale\right)}^{2}\right)} \]
      Proof
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 8 (*.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (*.f64 a (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 4 2)) (*.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (*.f64 a (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b a))) (*.f64 b (*.f64 a (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b (*.f64 a (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (Rewrite<= sqr-neg_binary64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= distribute-rgt-neg-out_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (Rewrite<= distribute-rgt-neg-out_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 (Rewrite=> metadata-eval 8) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 2 4)) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 2 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l/_binary64 (*.f64 (/.f64 (*.f64 2 (*.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 (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 (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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 2 points decrease in error
      (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (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 b a) (*.f64 b (neg.f64 a)))) (+.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)) (*.f64 y-scale y-scale)) (+.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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 (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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 1 points decrease in error
      (*.f64 (/.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 (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 (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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 2 points decrease in error
      (*.f64 (/.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 (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) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 3 points decrease in error
      (*.f64 (/.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 (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) (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<= *-commutative_binary64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2)) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (/.f64 x-scale (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (/.f64 x-scale (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) x-scale)) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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-*r*_binary64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) x-scale) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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<= *-commutative_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) x-scale) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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-/l*_binary64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) y-scale))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (Rewrite=> associate-*l/_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)))) x-scale)) y-scale)))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 7 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (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) (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 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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)))) (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (/.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 (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)) (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 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 (Rewrite<= +-commutative_binary64 (+.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 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 a (Rewrite<= metadata-eval (*.f64 -1 4)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (*.f64 b a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a -1) 4))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 -1 a)) 4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 (Rewrite<= neg-mul-1_binary64 (neg.f64 a)) 4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (*.f64 b a) (Rewrite=> *-commutative_binary64 (*.f64 4 (neg.f64 a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) 4) (neg.f64 a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (*.f64 b a))) (neg.f64 a)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 b (Rewrite=> *-commutative_binary64 (*.f64 (neg.f64 a) (*.f64 4 (*.f64 b a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 4 (*.f64 b a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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 4 (*.f64 b a)) (*.f64 b (neg.f64 a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.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-*r*_binary64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 1 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 (/.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
      (neg.f64 (Rewrite<= associate-/r/_binary64 (/.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))))): 2 points increase in error, 1 points decrease in error
      (Rewrite<= distribute-frac-neg_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 x-scale around inf 60.5

      \[\leadsto \color{blue}{0.25 \cdot \left(\left(y-scale \cdot \left(x-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \frac{{a}^{2} \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}} + 2 \cdot \frac{{b}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}}}\right)} \]
    4. Simplified60.5

      \[\leadsto \color{blue}{\left(0.25 \cdot \left(\left(x-scale \cdot y-scale\right) \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left(\frac{a \cdot a}{\frac{y-scale \cdot y-scale}{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}} + \frac{b \cdot b}{\frac{y-scale \cdot y-scale}{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}}\right)}} \]
      Proof
      (*.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale y-scale) (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8))))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 9 points increase in error, 4 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 a 2) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 1 points increase in error, 1 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))))))): 2 points increase in error, 3 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (Rewrite<= distribute-lft-out_binary64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*r*_binary64 (*.f64 1/4 (*.f64 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8))) (sqrt.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)))))))): 0 points increase in error, 0 points decrease in error
    5. Applied egg-rr51.9

      \[\leadsto \color{blue}{\sqrt{{\left(0.25 \cdot \left(\left(x-scale \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \left(\mathsf{hypot}\left(\frac{a}{\frac{y-scale}{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}}, \frac{b}{\frac{y-scale}{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}}\right) \cdot \sqrt{2}\right)\right)\right)}^{2}}} \]
    6. Simplified48.5

      \[\leadsto \color{blue}{\left|0.25 \cdot \left(\sqrt{2} \cdot \left(\left(y-scale \cdot \sqrt{8}\right) \cdot \left(x-scale \cdot \mathsf{hypot}\left(\cos \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot \frac{a}{y-scale}, \sin \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot \frac{b}{y-scale}\right)\right)\right)\right)\right|} \]
      Proof
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 6 points increase in error, 4 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 a y-scale) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (Rewrite<= associate-/r/_binary64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 4 points increase in error, 5 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) (/.f64 b y-scale)))))))): 5 points increase in error, 4 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 b y-scale) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (Rewrite<= associate-/r/_binary64 (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))))))): 10 points increase in error, 15 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 y-scale (sqrt.f64 8)) x-scale) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))))): 60 points increase in error, 38 points decrease in error
      (fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8)))) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (sqrt.f64 2))))): 0 points increase in error, 0 points decrease in error
      (fabs.f64 (*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))))): 30 points increase in error, 32 points decrease in error
      (Rewrite<= rem-sqrt-square_binary64 (sqrt.f64 (*.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))) (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2))))))): 51 points increase in error, 0 points decrease in error
      (sqrt.f64 (Rewrite<= unpow2_binary64 (pow.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))) 2))): 0 points increase in error, 0 points decrease in error
    7. Taylor expanded in y-scale around 0 48.1

      \[\leadsto \left|0.25 \cdot \left(\sqrt{2} \cdot \color{blue}{\left(\left(x-scale \cdot \sqrt{8}\right) \cdot \sqrt{{a}^{2} \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} + {b}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}\right)}\right)\right| \]
    8. Simplified37.5

      \[\leadsto \left|0.25 \cdot \left(\sqrt{2} \cdot \color{blue}{\left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(\sin \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot b, a \cdot \cos \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right)\right)\right)}\right)\right| \]
      Proof
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 16 points increase in error, 8 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (Rewrite<= *-commutative_binary64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))))): 5 points increase in error, 5 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))): 72 points increase in error, 14 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 b b) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 18 points increase in error, 5 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 5 points increase in error, 2 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (*.f64 a (cos.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (*.f64 a (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))): 2 points increase in error, 5 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 a a) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))): 5 points increase in error, 2 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.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)) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.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 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) 2))))): 5 points increase in error, 2 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.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 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (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)))))): 0 points increase in error, 0 points decrease in error

    if 2.4500000000000001e47 < y-scale

    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. Simplified63.7

      \[\leadsto \color{blue}{\frac{-\sqrt{\left(2 \cdot \left(\frac{4}{\frac{{\left(x-scale \cdot y-scale\right)}^{2}}{b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)}} \cdot \left(b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)\right)\right)\right) \cdot \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \sqrt{{\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right)}^{2} + {\left(\frac{\cos \left(\frac{angle}{180} \cdot \pi\right) \cdot \left(2 \cdot \left(\left(b \cdot b - a \cdot a\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)\right)}{x-scale \cdot y-scale}\right)}^{2}}\right)\right)}}{\frac{4}{\frac{{\left(x-scale \cdot y-scale\right)}^{2}}{b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)}}}} \]
      Proof
      (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (+.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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (+.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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (+.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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (+.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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l*_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 (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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (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)) (sqrt.f64 (+.f64 (pow.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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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) (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))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.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)))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (Rewrite<= *-commutative_binary64 (*.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)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (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 (+.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 (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)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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)))) (Rewrite<= associate-+l+_binary64 (+.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 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
      (/.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))))))) (Rewrite<= associate-/l*_binary64 (/.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 x-scale around 0 41.8

      \[\leadsto \color{blue}{0.25 \cdot \left(\left(y-scale \cdot \sqrt{8}\right) \cdot \sqrt{2 \cdot \left({a}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}\right) + 2 \cdot \left({\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} \cdot {b}^{2}\right)}\right)} \]
    4. Simplified38.9

      \[\leadsto \color{blue}{\left(0.25 \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left({\left(a \cdot \sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2} + {\left(b \cdot \cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2}\right)}} \]
      Proof
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 1/180 angle) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 12 points increase in error, 10 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 angle 1/180)) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 1/180 angle) (PI.f64))))) 2))))): 8 points increase in error, 4 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 angle 1/180)) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite=> unpow2_binary64 (*.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 a a) (*.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 21 points increase in error, 9 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 9 points increase in error, 10 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite=> unpow2_binary64 (*.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 b b) (*.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))))))): 3 points increase in error, 3 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2)))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)))))): 3 points increase in error, 8 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2))))))): 0 points increase in error, 0 points decrease in error
      (*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (Rewrite<= distribute-lft-out_binary64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*r*_binary64 (*.f64 1/4 (*.f64 (*.f64 y-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))))))): 0 points increase in error, 0 points decrease in error
  3. Recombined 3 regimes into one program.
  4. Final simplification39.1

    \[\leadsto \begin{array}{l} \mathbf{if}\;y-scale \leq -1.52 \cdot 10^{+127}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{elif}\;y-scale \leq 2.45 \cdot 10^{+47}:\\ \;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(b \cdot \sin \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right), a \cdot \cos \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right)\right)\right)\right|\\ \mathbf{else}:\\ \;\;\;\;\left(0.25 \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left({\left(a \cdot \sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2} + {\left(b \cdot \cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2}\right)}\\ \end{array} \]

Alternatives

Alternative 1
Error39.2
Cost52744
\[\begin{array}{l} t_0 := angle \cdot \left(\pi \cdot 0.005555555555555556\right)\\ \mathbf{if}\;y-scale \leq -7.3 \cdot 10^{+126}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{elif}\;y-scale \leq 7.1 \cdot 10^{+47}:\\ \;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(b \cdot \sin t_0, a \cdot \cos t_0\right)\right)\right|\\ \mathbf{elif}\;y-scale \leq 8 \cdot 10^{+306}:\\ \;\;\;\;0.25 \cdot \left(\left(y-scale \cdot \sqrt{2}\right) \cdot \left|b \cdot \sqrt{8}\right|\right)\\ \mathbf{else}:\\ \;\;\;\;0.25 \cdot \left(4 \cdot \left|x-scale \cdot a\right|\right)\\ \end{array} \]
Alternative 2
Error40.0
Cost46212
\[\begin{array}{l} t_0 := angle \cdot \left(\pi \cdot 0.005555555555555556\right)\\ t_1 := \mathsf{hypot}\left(b \cdot \sin t_0, a \cdot \cos t_0\right)\\ \mathbf{if}\;x-scale \leq -8.6 \cdot 10^{-157}:\\ \;\;\;\;\left(x-scale \cdot \left(\sqrt{2} \cdot \sqrt{8}\right)\right) \cdot \left(t_1 \cdot -0.25\right)\\ \mathbf{elif}\;x-scale \leq 1.65 \cdot 10^{-189}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 \cdot \left(0.25 \cdot \left(4 \cdot x-scale\right)\right)\\ \end{array} \]
Alternative 3
Error44.1
Cost33160
\[\begin{array}{l} \mathbf{if}\;a \leq -9 \cdot 10^{-137}:\\ \;\;\;\;0.25 \cdot \left(4 \cdot \left|x-scale \cdot a\right|\right)\\ \mathbf{elif}\;a \leq 6.3 \cdot 10^{-114}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{else}:\\ \;\;\;\;0.25 \cdot \left|\sqrt{2} \cdot \left(x-scale \cdot \left(\sqrt{8} \cdot \left(a \cdot \cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)\right)\right)\right|\\ \end{array} \]
Alternative 4
Error44.8
Cost20436
\[\begin{array}{l} t_0 := 0.25 \cdot \left(4 \cdot \left|x-scale \cdot a\right|\right)\\ t_1 := 0.25 \cdot \left(y-scale \cdot \left(b \cdot 4\right)\right)\\ \mathbf{if}\;b \leq -7.6 \cdot 10^{+116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.3:\\ \;\;\;\;t_0\\ \mathbf{elif}\;b \leq -2.52 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.18 \cdot 10^{-83}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{2} \cdot \left(y-scale \cdot \sqrt{8 \cdot \left(b \cdot b\right)}\right)\right)\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{+126}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;0.25 \cdot \left(\left|y-scale \cdot \sqrt{2}\right| \cdot \left(b \cdot \sqrt{8}\right)\right)\\ \end{array} \]
Alternative 5
Error43.9
Cost13576
\[\begin{array}{l} t_0 := 0.25 \cdot \left(4 \cdot \left|x-scale \cdot a\right|\right)\\ \mathbf{if}\;a \leq -4.5 \cdot 10^{-136}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-104}:\\ \;\;\;\;0.25 \cdot \left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 6
Error44.8
Cost7376
\[\begin{array}{l} t_0 := 0.25 \cdot \left(y-scale \cdot \left(b \cdot 4\right)\right)\\ t_1 := 0.25 \cdot \left(4 \cdot \left|x-scale \cdot a\right|\right)\\ \mathbf{if}\;a \leq -1.9 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.52 \cdot 10^{-285}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-227}:\\ \;\;\;\;0.25 \cdot \left(\left(y-scale \cdot b\right) \cdot -4\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-112}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error53.5
Cost1240
\[\begin{array}{l} t_0 := 0.25 \cdot \left(\left(y-scale \cdot b\right) \cdot -4\right)\\ t_1 := 0.25 \cdot \left(y-scale \cdot \left(b \cdot 4\right)\right)\\ \mathbf{if}\;a \leq -4.4 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-287}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{-227}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-112}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+188}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Error53.8
Cost448
\[0.25 \cdot \left(y-scale \cdot \left(b \cdot 4\right)\right) \]

Error

Reproduce

herbie shell --seed 2022329 
(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))))